Math Homework Questions & Answers Archive

Oct 17 Take Quiz Question 10 Here again are the equations from the previous question. Equation 1: 5x-2y+0=12 Equation 2: 2y+5y=14 Based on the slopes you found in the previous question, what do you know about the lines? If you need it, here is a sheet of graph grid (opens in a new tab). The lines are parallel. The lines are perpendicular. The lines are neither parallel nor perpendicular. Quiz saved at 8:38am

In the data set below, what is the variance? 6, 5, 4, 7, 4, 4 If the answer is a decimal, round it to the nearest tenth. variance (σ^2)

A cellular phone company monitors monthly phone usage. The following data represent the monthly phone use in minutes of one particular customer for the past 20 months. Use the given data to answer parts (a) and (b). 324 475 538 544 453 468 393 377 433 405 330 388 511 536 365 461 500 513 415 474 (a) Determine the standard deviation and interquartile range of the data. s= (Round to two decimal places as needed.) IQR= (Type an integer or a decimal.) (b) Suppose the month in which the customer used 324 minutes was not actually that customer's phone. That particular month the customer did not use their phone at all, so 0 minutes were used. How does changing the observation from 324 to 0 affect the standard deviation and interquartile range? What property does this illustrate? The standard deviation and the interquartile range What property does this illustrate? Choose the correct answer below. Empirical Rule Weighted Mean Dispersion Resistance

If Y has an exponential distribution and P(Y>2)=0.0821, find the value of each of the following: a. E(Y)= b. P(Y ≤ 1.7)=

Solve the equation for x. 4x+7y=9 x= (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Method 1: Unit Rate 1. Tim earns 213 in gross earnings for working 12 hours this week. How much will he earn if he works full time (40 hours)?

Factor. (If the expression is nonfactorable over the integers, enter NONFACTORABLE.) a^2-11 a+24

A box contains 16 transistors, 4 of which are defective. If 4 are selected at random, find the probability of the statements below. a. All are defective b. None are defective a. The probability is (Type a fraction. Simplify your answer.)

The developers want their results to be statistically significant at a level of α=0.10. Use the data provided and the p-value you calculated to fill in the blanks and complete the sentences that form the developers' conclusion. P= 0.09 The decision is to the hypothesis. There is evidence that phone's mean battery life with the app is hrs. Answer Bank 18.0 not equal to 0.10 accept less than alternative null 19.8 reject equal to 5.2 sufficient 1.343 greater than insufficient fail to reject

From the probability distribution, find the mean and standard deviation for the random variable x, which represents the number of cars per household in a town of 1000 households. x P(x) 0 0.160 1 0.393 2 0.270 3 0.094 4 0.083

Assignment 3.2: Transformation of Functions Score: 1 / 9 2 / 9 answered Question 3 Move the sliders h and k so that the graph of y=x^2 gets shifted up units and to the right 2 units. Then type the new function, f(x) in the answer box Don't forget to shift the graph. Using function notation, i.e. f(x)=, enter the function that results from the transformation.

So, the side is about 2.44 m long. EXERCISE 15B.2 1 Set up a trigonometric equation connecting the given angle and sides: b

What is the value of (x) ?

Find the absolute extrema of the function on the closed interval. y=9 cos(x), [0,2 π]

Use a half-angle formula to find the exact value of the expression. sin(5π/12) A. -(1/2) sqrt(2-sqrt(3)) B. -(1/2) sqrt(2+sqrt(3)) C. (1/2) sqrt(2+sqrt(3)) D. (1/2) sqrt(2-sqrt(3))

MAT 143 Statistics Activity 5 - Chapter 3 (Probability) The table shows the numbers (in thousands) of earned degrees by level in two different fields, conferred in the United States in a recent year. (Source: U.S. National Center for Education Statistics) Level of Degree Natural sciences/mathematics Computer science/engineering Total ------------------------------------------------------------------------------------ Bachelor's 175.5 220.3 395.8 Master's 34.8 105.4 140.2 Doctoral 16.4 13.0 29.4 TOTAL 226.7 338.7 565.4 PLEASE SHOW THE FRACTIONS YOU USE TO CALCULATE YOUR ANSWERS. 1. A person who earned a degree in this year is randomly selected. Find the probability (rounded to the nearest thousandth) that the degree earned by the person is a: A. Bachelor's degree B. Bachelor's degree, given that the degree is in computer science/engineering C. Bachelor's degree, given that the degree is not in computer science/engineering D. Bachelor's degree or master's degree E. Doctorate, given that the degree is in computer science/engineering F. Master's degree or the degree is in natural sciences/mathematics G. Bachelor's degree and the degree is in natural sciences/mathematics H. Degree in computer science/engineering, given that the person earned a bachelor's degree I. Master's degree and doctorate degree J. Degree in computer science/engineering or degree in natural sciences/mathematics 2. Which of the event(s) in parts A through J can be considered unusual? Explain. 3. Which of the event(s) in parts A through J can be considered mutually exclusive? Explain.

Current Attempt in Progress Figure 1 shows sample proportions from samples of size n=180 from a population. Estimate the value of the population parameter and estimate the standard error for the sample statistic. Figure 1 Sampling distribution Round your answers to two decimal places. p= SE=

Find the rate of change of the linear function shown in the graph. Then find the initial value. The rate of change is (Simplify your answer.)

Put the steps in order to solve a quadratic inequality: First Get the inequality in standard form Factor Identify the critical points Express the solution Test the intervals Determine the solution Last

Example of Exponential Decay f(x)=(8)^x

Follow the seven step strategy to graph the following rational function. f(x) = x^4 / (x^2 + 13) 1. Select the symmetry of the function. - y-axis symmetry - origin symmetry - neither y-axis symmetry nor origin symmetry 2. Find the y-intercept. Select the correct choice below and fill in any answer boxes within your choice. A. The y-intercept is (Type an integer or a simplified fraction.) B. There is no y-intercept. 3. Find any x-intercepts. Select the correct choice below and fill in any answer boxes within your choice. A. The x-intercept(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no x-intercepts. 4. What are the x-coordinates of the vertical asymptote(s)? Select the correct choice below and fill in any answer boxes within your choice.

What is the ordered pair represented by f(-7)=-3 ?

Divide the expression. (8 x^3+14 x^2-8 x-14)/(2 x^2-2)

By considering total area as the sum of the areas of all of its parts, we can determine the area of a figure such as the one shown to the right. Find the total area of the figure to the right. A= (Simplify your answer.) units ^2

A nation's population is growing at a rate of 0.7% annually. In how many years will the population double? 100 140 50 20

on each run are shown in the accompanying data table. Complete parts a through c. a. The potential buyer wants to know whether the sample data refute the manufacturer's claim. Specify the null and alt Choose the correct answer below. A. H0: μ=10 H0: μ=10 Ha: μ>10 c. H0: μ=10 Ha: μ ≠ 10 b. In the context of this exercise, what is a Type I error? A Type II error? First identify what a Type I error is for this situation. Choose the correct answer below. Data table 10 8 9 9 12 9 11 8 8 10 6 9 6 11 10 10 10 13 8 11 11 9 12 7 8 9 9 6 12 5 9 9 10 9 7 8 11 11 10 1 9 12 11 10 6 9 10 10 A. A Type I error would be to conclude that the true mean number of solder joints inspected is not equal to 10 wh B. A Type I error would be to conclude that the sample mean number of solder joints inspected is greater than 10 C. A Type I error would be to conclude that the true mean number of solder joints inspected is less than 10 when, D. A Type I error would be to conclude that the true mean number of solder joints inspected is equal to 10 when, Now identify what a Type II error is for this situation. Choose the correct answer below. A. A Type II error would be to conclude that the true mean number of solder joints inspected is 10 when, in fact, the mean is less than 10. B. A Type II error would be to conclude that the true mean number of solder joints inspected is less than 10 when, in fact, the mean is equal to 10. C. A Type II error would be to conclude that the true mean number of solder joints inspected is not equal to 10 when, in fact, the mean is equal to 10. D. A Type II error would be to conclude that the sample mean number of solder joints inspected is 10 when, in fact, the mean is greater than 10. c. Conduct the hypothesis test you described in part a and interpret the test's results in the context of this exercise. Use α=0.05. Calculate the value of the test statistic. z= (Round to two decimal places as needed.)

Question 14 (1 point) Find the hypotenuse of a right triangle with legs of 15 meters and 8 meters.

A particular country's exports of goods are increasing exponentially. The value of the exports, t years after 2006, can be approximated by V(t)=1.3 e^0.0071 where t=0 corresponds to 2006 and V is in billions of dollars. a) Estimate the value of the country's exports in 2006 and 2012 b) What is the doubling time for the value of the country's exports? a) The value of the country's exports in 2006 is billion. (Simplify your answer. Round to the nearest tenth as needed. Do not include the symbol in your answer.) The value of the country's exports in 2012 is 5 billion. (Simplify your answer. Round to the nearest tenth as needed. Do not include the symbol in your answer.) b) The doubling time is approximately years. (Simplify your answer. Round to the nearest integer as needed.)

The diameter of a circle is 90 in. Find its circumference.

What function is graphed below?

Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a hyperbola, a degenerate conic, or has no solution. 3x^2+4y^2-18x-8y+31=0 ellipse parabola hyperbola degenerate conic no solution If the graph is an ellipse, find the center, foci, vertices, and lengths of the major and minor axes. If it is a parabola, find the separated list of equations. If an answer does not exist, enter DNE.) center (x, y)=( ) focus (x, y)=( DNE focus (x, y)=( smaller x-value or only focus) vertex (x, y)=( ) (larger x-value) vertex (x, y)=( ) (larger x-value)

2. A fruit basket contains the same number of apples and pears. If Eric eats 5 apples and 1 pear, there will be twice as many pears as apples. How many pears remain in the basket?

Find the area under the standard normal distribution curve between z=-2.49 and z=1.13. Use The standard Normal Distribution Table and enter the answer to 4 decimal places. The area between the two z values is

En la figura, AB=6 cm, OC=9 cm y OB=3 cm. ¿cuánto mide CD?

Solve the given polynomial inequality. Report the solution in both interval notation and graphical form. -x^2+x+72<0

Evaluate. Write your answer as a whole number or in simplest form. ln e^38 / 2 =

Which property of logarithms does this equation demonstrate? Assume all expressions exist and are well-defined. loga 7x^7 + loga x = loga 7x^8 y Power Property Product Property Change of Base Formula Quotient Property

A farmer wants to construct a fence around an area of 15 f t2 in a rectangular field and then subdivide it in half with a fence parallel to one of the sides of the rectangle. What dimensions should the fenced area have in order to minimize the length of fencing used?

360 is increased by 25%. The result is then decreased by 50%. What is the final number?

Find the value of x in the equation below. 1=x-4

Classify the triangle as acute, right, or obtuse. Also classify it as equilateral, isosceles, or scalene. Classify the triangle as acute, right, or obtuse. Choose the correct answer below. A. an acute B. a right C. an obtuse

Consider the function graphed at right. The function has a minimum of -4. The function is increasing on the interval(s): The function is decreasing on the interval(s):

Homework #2 Multiply and simplify to lowest terms. (z^2-36)/(z^2+4z-12) * (z^2+6z+8)/(z^2-2z-24) = □

Part 1 of 3 Find the range. The range is 30 . Part 2 of 3 Find the variance. The variance is 90 . Part 3 of 3 Find the standard deviation. The standard deviation is .

The table below shows the elevation at which different artifacts were found in an archeological dig. Artifact Elevation ------ arrow head 0 feet bone -389 feet necklace -1193 feet clay bowl 757 feet woven blanket 391 feet Which of these artifacts was discovered at the lowest elevation

Draw the graph of each equation below. y+6=0 Draw: x-1=0

Find the exact value of cos(sin^(-1)(-7/8)).

Which of the following is a like radical to ∛(6x²)? x(∛(6x)) 6(∛(x²)) 4(∛(6x²)) x(∛(6))

Susan has been on a bowling team for 12 years. After examining all of her scores over that period of time, she finds that they follow a normal distribution. Her average score is 237, with a standard deviation of 12. What is the probability that in a one-game playoff, her score is more than 239? Multiple Choice 0.5578 0.7306 0.4226 0.2694

Pregunta 2. ¿Cuál es el desarrollo de (x-30) ·(x-30) ? A) x^2+60 x+90 B) x^2-30 x+900 C) x^2+60 x-900 D) x^2-60 x+900 Pregunta 3. ¿Cuál es el desarrollo de (8-m) ·(8-m) ? A) m^2+16 m-64 B) m^2+16 m+64 C) m^2-64 D) 64-m^2 Pregunta 4. ¿Cuál es el desarrollo de (y+12) ·(y-12) ? A) y^2-24 y+144 B) y^2+24 y+144 C) y^2-144 D) y^2+144 Pregunta 5. ¿Cuál es el desarrollo de (5 x-7 y) ·(5 x-7 y) ? A) 25 x^2-14 y^2 B) 25 x^2+64 y^2 C) 25 x^2+49 y^2 D) 25 x^2-49 y^2 Pregunta 6. ¿Cuál es el desarrollo de (10 x^5-3) ·(10 x^5+3) ? A) 100 x^10-6 B) 100 x^10-9 C) 100 x^7-9 D) 20 x^10-9 Pregunta 7. ¿Cuál es el desarrollo de (4 x^6-2) ·(4 x^6+2) ? A) 16 x^12-4 B) 16 x^12+4 C) 16 x^8-4 D) 8 x^12-4

Which two functions have the same rate of change? Select all that apply. A. y=4x-7 B. y=0.5x-1 C. n=0.6r+1 D. t=0.5n+1

For the given rational function, (A) Find the intercepts for the graph. (B) Determine the domain. (C) Find any vertical or horizontal asymptotes for the graph. (D) Sketch any asymptotes as dashed lines. Then sketch a graph of y=f(x). f(x)= (x-6)/(x+6) (A) What are the x-intercepts? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The x-intercept(s) is/are . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no x-intercepts.

Find the average value of the function f(x) = x / 2 over the interval [0,3]. Enter the exact answer. Average value of f(x) = Find c such that f(c) equals the average value of the function over [0,3]. Enter the exact answer. r = Number

Solve the exponential equation algebraically. Approximate the result to three decimal places. 2 e^x = 18

Solve the rational equation. 5/(x-6)^2=0 -6 6 5 ∅

Write an equation describing the relationship of the given variables. y varies inversely as the cube root of x and when x=8, y=7.

What are the domain and range of this function? y=4x+1 domain: x x<0, range: y y<-1 domain: x x<0, range: y y ≥ 0 domain: all real numbers, range: y y<-1 domain: all real numbers, range: y y ≥ 0

The Range (Statistics). No of goals Tally Frequency 0 11 2 1 111 3 2 111 3 3 +11+1 6 4 111 3 5 1 1 6 1 1 7 1 1 The frequency table shows the numbers of goals the Lakers scored in their last twenty matches. What was the range? A. 4 B 5 C 6 D 7

Question 19 (5 points) What is the slope of the line passing through (-4,3) and (5,3)? a 0 b no slope c 9 d 1

Question #2(a): Does the function obtain a minimum value on the interval [1,7]? That is, is there a lowest point on the graph over the interval [1,7]? No Yes Question #2(b): Does the function obtain a maximum value on the interval [1,7]? That is, is there a highest point on the graph over the interval [1,7]?

Given the line -8x + 4y = -24. Determine the equation of the perpendicular and parallel line through the point (12,8). (a) parallel line

Use Pythagorean theorem to find right triangle side lengths Find the value of x in the triangle shown below. Choose 1 answer: (A) x=6 (B) x=8 (C) x=sqrt(15) (D) x=sqrt(34)

Complete this sentence: After a congruence transformation, the area of a triangle would be it was before. A. less than B. the same as C. greater than D. cannot be determined

David is planting a rectangular garden in his backyard. He wants the length of the garden to be 4 yards. The area of the garden must be less than 32 square yards. (David doesn't want to buy any more soil.) Write an inequality that describes the possible widths (in yards) of the garden. Use w for the width of the rectangular garden.

The function f graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise. The solutions of the equation f(x)=0 are the x-intercepts of the graph of f. The solution of the inequality f(x) ≥ 0 is the set of x-values at which the graph of f is on or above the x-axis. From the graph of f we find that the solutions of the equation f(x)=0 are x= (Enter your answers as a comma-separated list.) The solution of the inequality f(x) ≥ 0 is (Enter your answer using interval notation.)

The letters W, X, Y, and Z represent different digits. If the subtraction operation is correct, what is the value of W+X+Y+Z ? (A) 21 (B) 18 (C) 14 (D) 10

Two ships leave a harbor at the same time. One ship travels on a bearing S 14° W at 13 miles per hour. The other ship travels on a bearing N 75° E at 12 miles per hour. How far apart will the ships be after 2 hours? The distance is approximately □ miles. (Round to the nearest tenth as needed.)

Si M=2^(n+1), entonces (2^(2n+1)+4^n)/(2^(n+1)+4*2^n) A) M/8 B) M/4 C) M D) 2M E) 4M

Ahmed walked around a regular pentagon-shaped path. He started at the point (shown in the figure), walked around it clockwise, and came back to it again. On which part of the path was he walking when he covered 35% of the distance?

Hypothesis Test Description [Items 25 - 30] A sample of 100 UMD freshmen takes a university readiness assessment and the sample mean is M=54. If the mean for all college freshmen on this test is μ=50 and σ=15, can you conclude that this UMD sample is significantly different from the population? Use a two-tailed test with α=0.05. TIP: Sketch the distribution. Show your work for calculating the standard error and the obtained z-score test statistic. 26 1 point What is/are the critical z-score values that define(s) the boundary of the critical region in this study? zcrit= z=+1.96 z=+2.58 z= ± 2.58 z= ± 1.96 27 1 point NOTE: Provide a numerical answer with TWO decimal places; you should include extra "O"s if needed to reach TWO decimal places (0.00). What is the value of the standard error, σM, for this study? Type your answer- 28 1 point NOTE: Provide a numerical answer with TWO decimal places; you should include extra "O"s if needed to reach TWO decimal places ( 0.00 ). What is the value of the obtained z-score ( zobt test statistic) for this study? Type your answer. 29 0.5 points Based on the results of this study, what decision about the null hypothesis should the researcher make? Reject H0 Fail to reject H0

Convert the measurement to the specified unit. Round to 4 decimal places if necessary. 36 hm = km

Given below is a data set: 75 66 54 78 64 58 69 53 65 70 74 65 74 65 58 68 55 65 88 68 84 53 63 51 84 67 64 50 61 68 Examine the data above by reviewing the stem-and-leaf plot. Here is the start of the plot. missing values? 5# 01334588 6# 13445555678889 7# 04458 8#

Determine whether the statement is true or false. If it is false, rewrite it as a true statement. In most applications, continuous random variables represent counted data, while discrete random variables represent measured data. Choose the correct answer below. A. True B. False. In most applications, discrete random variables represent counted data, while continuous random variables represent measured data.

Write an equation for a line passing through the point (4,-3) that is parallel to the line 4x+5y=8. Then write a second equation for a line passing through the point (4,-3) that is perpendicular to the line 4x+5y=8. The equation of the parallel line is (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.) The equation of the perpendicular line is (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.)

In a circle with a 120 km radius, how long is an arc associated with an angle of 4.4 radians?

Giving a test to a group of students, the table below summarizes the grade earned by gender. A B C Total ---------------------- Male 20 16 2 38 Female18 4 6 28 Total 38 20 8 66 If one student is chosen at random, find the probability that the student is male given the student earned grade B. Round your answer to four decimal places.

Differentiation Formative assessment [40 marks] Your name. MagyR 3. Consider the curve y=x^2-4 x+2. (a) Find an expression for dy/dx. (b) Show that the normal to the curve at the point where x=1 is 2 y-x+3=0.

Solve 1/81^(x-2) = 27^(1-x)

13- Una maquina produce 2 tipos de árboles de leva para una empresa automotriz, el encargado sabe que una muestra de 600 piezas para los arboles tipo "a" arrojan 420 sin fallas, y una muestra de 800 piezas para los arboles tipo "b" arrojan 544 piezas sin fallas. a- El encargado desea estimar la diferencia entre las proporciones de piezas falladas con un nivel de confianza del 95%. ¿Qué opina con respecto de dicha estimación? b- El gerente de dicha empresa le pide a su encargado más precisión en su estimación, desea reducir en un 75% el intervalo obtenido manteniendo el mismo nivel de confianza. ¿Qué haría usted en ese caso y cuál sería su respuesta? (Fundamente teórica y numéricamente)

(a) Name a fraction between 4/5 and 5/6.

Determine the phase shift of the sine function: (a) sin(x + π/3) The phase shift is and the graph is shifted to the (Choose one).

Find the minimum value of N necessary such that SN estimates the series below to within 1. ∑(n=1 to ∞) n^(-5 / 4)

What is the quadratic equation that has the roots 3+i and 3-i? (1 point) - (x^2+6 x-10=0) - (x^2-6 x+8=0) - (x^2-6 x+10=0) - (x^2+6 x+10=0)

Matching graphs with rational functions: Two vertical asymptotes Choose the graph of each function from the choices below. (a) Which is the graph of f(x) = 8 / (x^2 - 2x - 8) ? (choose one) (b) Which is the graph of g(x) = (3x + 6) / (x^2 - 16) ? (choose one)

In 2015, the average weekly salary for workers in the United States was 801. This average weekly salary amount is increasing by 24 yearly after 2015. a. Write an equation that describes the average weekly salary for some years after 2015.

The formula for simple interest: Fill in the blanks. The formula for calculating simple interest, I, is , where P is the , r is the , and t is the ? The formula for calculating simple interest, I, is where P is the principal, r is the rate, and t is the

This tree diagram represents the sample space for all possible results from randomly selecting 2 items from a binomial situation. Use the displayed probabilities of each possible outcome to find each of the probabilities. start 1st item 2nd item (end) result - - - - 0.4 yes a yes 0.6 no b 0.4 yes c 0.6 no d a. Prob(yes and yes) = b. Prob(yes and no in that order) = 0.24 c. Prob(no and yes in that order) = 0.24 d. Prob(no and no) =

Suppose that G(x)=F(x)-7. Which statement best compares the graph of G(x) with the graph of F(x) ? A. The graph of G(x) is the graph of F(x) shifted 7 units to the left. B. The graph of G'(x) is the graph of F(x) shifted 7 units to the right. C. The graph of G(x) is the graph of F(x) shifted 7 units down. D. The graph of G(x) is the graph of F(x) shifted 7 units up.

Simplify. x^(5/8) * x^(3/4) Assume that the variable represents a positive real number.

Verify the identity. [1-fraccos ^2 theta1+sin theta=sin theta] To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. [1-fraccos ^2 theta1+sin theta=1-frac1+sin theta]

Find the dimensions of a rectangle whose perimeter is 20 meters and whose area is 21 square meters. The sides of the rectangle measure square meters. (Use a comma to separate answers as needed.)

x ÷ 3 = 2x = 5x = x / 4 = 4x = 4(x / 3) = 24 / y = y ÷ 2 = 6y =

If f(x) = 5x + 3, g(x) = 3x^2, and h(x) = sqrt(x - 4), find the following: h(g(x)) =

-3+5-7+9-11+13-15= sum from n=1 to A of B, where A= B=

10 m 100 cm 10 m ∇ 100 cm

Solve for (d). (d-4.3=3.7) (d=)

Resolver la ecuación cuadrática completando el cuadrado. x^2-6 x+3=0 Forma: ( x + ) ^ 2 = ( x - - ) ^ 2 = Solución: x=

Graphs and Functions Evaluating a piecewise-defined function Suppose that the function f is defined, for all real numbers, as follows. f(x) = - 1/2 x + 1 if x <= -2 - -(x-1)^2 + 3 if -2 < x <= 1 - 1/4 x + 2 if x > 1 Find f(-2), f(-1), and f(3). f(-2) = f(-1) = f(3) =

Both are in the nucleus of the atom and they both have the relative mass of 1

Find the domain of the function. g(x)=sqrt(4-x) The domain of g(x)=sqrt(4-x) is . (Type your answer in interval notation.)

Graphs and Functions Domain of a square root function: Basic Find the domain of the function. g(x) = sqrt(x-7) Write your answer using interval notation.

Find the area under the standard normal curve between z=0.02 and z=2.69. Round your answer to four decimal places, if necessary.

Solve the following inequality. Write the inequality in interval notation, and graph it. 6 r+1=2 r-23 To solve the given inequality, first use the addition property of inequality to get all terms with variables on one side of the inequality and all numbers on the other side. What term should be subtracted from each side of the inequality to isolate the variable term on the left side? Subtract 2 r from each side of the inequality. 6 x+1 geq 2 r-23 6 i+1-2 r geq 2 r-23-2 r 4 r geq-23

The measure of dispersion that measures how much the data differ from the mean is called the.

23. Si el discriminante de una ecuación cuadrática asociada a una función de segundo grado es 0. ¿Cuál(es) de las siguientes afirmaciones es(son) siempre verdadera(s)? I) La parábola es tangente al eje de las abscisas. II) El vértice está ubicado en el eje x. III Las raíces o soluciones de las ecuaciones de segundo grado asociada a la función son reales y iguales. A) Sólo I B) Sólo 1 y II C) Sólo II y III D) I, II y III E) Ninguna de ellas

Determine the largest open intervals of the domain over which each function is (a) increasing, (b) decreasing, and (c) constant. (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on the interval(s) . (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never increasing.

Factor completely. Select "Prime" if the polynomial cannot be factored. 50 c^2-128 d^2 50 c^2-128 d^2= Prime

Use the limit as x approaches 0 of sin(x)/x=1 and/or the limit as x approaches 0 of (cos(x)-1)/x=0 to evaluate the following limit. The limit as x approaches 0 of sin(14x)/tan(x)

Factor the expression that defines the function. (m(t)=t^3+7t^2-8t-56=)

Simplify the exponential expression. ((-28 a^5 b^8)/(7 a^8 b^-2))^3 ((-28 a^5 b^8)/(7 a^8 b^-2))^3 = (Simplify your answer. Use positive exponents only.)

Factor out the GCF of the three terms, then complete the factorization of 3x^3+9x^2-30x

f(x)=x (Choose one) f(x)=1 f(x)=x f(x)=x^2 f(x)=x^3 f(x)=√x f(x)=x f(x)=1

Find the difference quotient (f(x+h)-f(x))/h, where h ≠ 0, for the function below. f(x)=1/(x-8) Simplify your answer as much as possible. (f(x+h)-f(x))/h=

The data to the right represent the number of customers waiting for a table at 6:00 P.M. for 40 consecutive Saturdays at Bobak's Restaurant. Complete parts (a) through (h) below. 8 8 5 7 10 7 6 5 12 9 6 8 5 8 7 10 9 11 8 3 8 7 6 10 13 13 10 7 9 7 8 10 9 10 7 8 4 9 10 6 A. The data are discrete because it was recorded for 40 consecutive Saturdays. B. The data are continuous because it was recorded for 40 consecutive Saturdays. C. The data are discrete because there are a finite or countable number of values. D. The data are continuous because there are a finite or countable number of values. (b) Construct a frequency distribution of the data. Number of Frequency Customers 1-3 4-6 7-9 10-12 13-15

triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. Is it a right triangle?

21. Higher Order Thinking In case of an emergency, the school has a calling list so that everyone is called in the least amount of time. Each of the first 3 people on the list calls another 3 people on the list. Then, each of the people in the second group calls another 3 people on the list, and so on. The fifth group of people will make 243 calls. Is this statement accurate? Explain.

Identify the domain, range, and codomain of the graph. Then use the codomain and range to determine whether the function is onto.

What is 24% of 150.

79° 64° 60° 120° 80° 80° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 69° 26° 63° 100° 120° 100° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 119° 99° 81° 78° 72° 48° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 19° 39° 91° 102° 78° 103° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 71° 39° 66° 77° 81° 102° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 99° 89° 73° 37° 37° 57° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 81° 111° 78° 109° 56° 114° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 103° 71° 63° 71° 73° 89° ↓ ↓ ↓ ↓ ↓ ↓ 66° 67° 99° 107° 47°

Survey of Calculus (7) Section 2.5 Activity Question 1, 2.5.1-P8 HW Score: 0%, 0 of 8 points Part 1 of 4 Points 0 of 1 1 ← A chemical substance has a decay rate of 7.6% per day. The rate of change of an amount N of the chemical after t days is given by dN/dt=-0.075 N. a) Let N0 represent the amount of the substance present at t=0. Find the exponential function that models the decay b) Suppose that 600 g of the substance is present at t=0. How much will remain after 6 days? c) What is the rate of change of the amount of the substance after 6 days? d) After how many days will half of the original 600 g of the substance remain? a) N(t)=

Use the graph of a function y=f(x) to find the absolute maximum and the absolute minimum, if they exist. Identify any local maximum values or local minimum values.

Given the formula : A=P e^r Find the amount of money accumulated if you invested 25,000 at 4.3% interest for 8 years compounded continuously. 779,673.95 26,098.45 35,264.47 None of the above

a) Find the instantaneous rate of change and equation of the tangent line to f(x)=1/x^2 at x=2. b) Find the instantaneous rate of change and equation of the tangent line to f(x)= -4x^2+3x at x=-1

Find the domain of the following rational function. R(x) = 12x / (x+9)

Given: angle R is congruent to angle Q line segment AS is congruent to line segment AT Which of the following may not be true? - angle 2 is congruent to angle 3 - line segment RS is congruent to line segment TQ - angle 5 is congruent to angle 6 - line segment AR is congruent to line segment AQ

A jogging track has a length of 0.15 miles (mi). How long is this in yards (yd)? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. Ratios 1 mi / 5280 ft, 5280 ft / 1 mi, 1760 yd / 1 mi, 1 mi / 1760 yd, 1 ft / 12 in, 12 in / 1 ft 0.15 mi / 1, x, square, =, square yd

Variable costs as a percentage of sales for Lemon Inc. are 70%, current sales are 547,000, and fixed costs are 182,000. How much will operating income change if sales increase by 46,400? a. 32,480 decrease b. 32,480 increase c. 13,920 increase d. 13,920 decrease

Module 4 Chapter 7 (Part A) Module 4: Chapter 7 (Part A) Pr σ2=11.03 (a) What distribution (standard normal or Student's t) should be used to construct a confidence interval for μ1-μ2? Explain. A standard normal should be used because σ1 and σ2 are known. A Student's t should be used because σ1 and σ2 are unknown. A Student's t should be used because σ1 and σ2 are known. A standard normal should be used because σ1 and σ2 are unknown. Because the interval contains only negative numbers, we can say that the fathers have a higher mean empathy score. Because the interval contains only positive numbers, we can say that the mothers have a higher mean empathy score. Because the interval contains both positive and negative numbers, we can not say that the mothers have a higher mean empathy score. We can not make any conclusions using this confidence interval.

(a) q(x)=(x+3)^4-3(x+3)^2 (b) r(x)=x^4-3x^2-2 (c) s(x)=x^4/256-3x^2/16

Assume that a procedure yields a binomial distribution with n=8 trials and a probability of success of p=0.60. Use a binomial probability table to find the probability that the number of successes x is exactly 1.

Fill in the blanks so that the resulting statement is true. If r is a zero of even multiplicity, then the graph touches the x-axis and flattens out at r. If r is a zero of odd multiplicity, then the graph crosses the x-axis at r. steepens crosses flattens out turns around

Question 1 (1 point) Listen Which of these was a result of the invention of the steel converter? a) Skyscrapers b) Railroads c) All of these answers are correct d) Armor and gun steels

Suppose that the function f is defined, for all real numbers, as follows. f(x) = 2x-1 if x<1 -x+2 if x ≥ 1 Graph the function f. Then determine whether or not the function is continuous.

Calcule a integral em coordenadas esféricas [ iiintleft(x^2+y^2+z^2right)^3 / 2 d V ] onde B é a bola com centro na origem e raio 4.

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express the quotient P(x) / D(x) in the form P(x) / D(x) = Q(x) + R(x) / D(x). P(x) = 2 x^2 - 5 x - 6, D(x) = x - 2 P(x) / D(x) = □

4.4 Classwork Part 2 Schoology https://desotoims.schoology.com/externaltool/3068373496/launch Classwork Part 2 (LMS graded) Graph a function where interval (1) is constant, interval (2) is increasing, interval (3) is decreasing, and interval (4) is increasing. correct graph below. O B. O C. an example Video Get more help Clear Question 8 of 8

Completely factor the trinomial, if possible. x^2+42x+35

The total profit (in dollars) from the sale of x charcoal grills is P(x) = 70x - 0.2x^2 - 290 (A) Find the average profit per grill if 40 grills are produced. Ave. profit = 54.75 Find the marginal average profit at a production level of 40 grills. (B) Marginal average profit = Use the results from parts (A) and (B) to estimate the average profit per grill if 41 grills are produced. (C) Estimated average profit =

The Venn diagram below shows the number of sophomores with Facebook, Invitter, and Instagram accounts. a. How many sophomores just have a Facebook account? b. How many sophomores have an Invitter or Instagram account? c. How many sophomores have Facebook, Invitter, and Instagram accounts? d. How many students do not have a Twitter account? e. How many students do not have a Facebook and Instagram account?

Multiply. 2 x^2(x+3)^2 2 x^2(x+3)^2= (Simplify your answer.)

If x varies directly as y, and x=9 when y=3, find x when y=6. x=

Baby weights: The weight of male babies less than 2 months old in the United States is normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. (a) Find the 79th percentile of the baby weights. (b) Find the 8th percentile of the baby weights. (c) Find the first quartile of the baby weights. Use the π-84 plus calculator and round the answers to at least two decimal places. Part 1 of 3 The 79th percentile of the baby weights is pounds. Part 2 of 3 The 8th percentile of the baby weights is pounds. Part 3 of 3 The first quartile of the baby weights is pounds.

Classify the given function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation. h(x) = (x^2 + 6) / (x^2 - 7x - 18) Classify the function h(x) = (x^2 + 6) / (x^2 - 7x - 18) Choose the correct answer below. - Polynomial function - Root function - Rational function The domain of h(x) = (x^2 + 6) / (x^2 - 7x - 18) is (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.)

Interpret the given values to determine the probability of a human pregnancy lasting more than a specified number of days: Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice (Type integers or decimals.) A. The probability that a randomly selected human pregnancy lasts more than 0.9737 days is 235 . B. The probability that a randomly selected human pregnancy lasts less than days is .

Solve the quadratic equation for (x). [ (6 x-5)(x+9)=0 ] Enter the exact answers in increasing order. [ x=mathbfi x=square ]

Question 4 What level of measurement would be applied when doing a survey on the average American's shoe size?

Consider the function graphed to the right. The function is increasing on the interval(s): The function is decreasing on the interval(s): The function is constant on the interval(s): The domain of the function is: The range of the function is:

Statistics Understanding the mean graphically: Two bars The graph below shows two black bars. Adjust the light bar so that it has the mean height of the two black bars. Black bars Mean Explanation Check © 2024 McGraw Hill LLC. All Rights Reserved.

A new stadium will have 7,062 seats. The stadium designer wants to divide the seats into sections. Each section must have the same number of seats. How many sections could the stadium designer use? Select all the possible numbers. 10 9 6 5

Question 5 3 pts A store is planning on charging 2.99 for a 5lb bag of potatoes. Assume the distribution is approximately normal. If the mean cost of a 5lb bag of potatoes is 3.50 with a standard deviation of 0.25, find the probability of a 5lb bag costing more than the 2.99. This problem is asking for... The cutoff (critical) value ( x ) The probability (area under the curve)

If s(x) is a linear function, where s(-3)=-4, and s(2)=5, determine the slope intercept equation for s(x), then find s(-2). The equation of the line is: s(-2)= If f(x) is a linear function, where f(-2)=-4, and f(4)=3, determine the slope intercept equation for f(x), then find f(5). The equation of the line is: f(-5)=

What should I buy? A study conducted by a research group in a recent year reported that 56% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 14 cell phone owners is studied. Round the answers to at least four decimal places. Part 2 of 4 (b) What is the probability that fewer than nine of them used their phones for guidance on purchasing decisions?

Simplify the following: sqrt(48) = To enter a sqrt(x) into your answer type sqrt(x)

The bar graph shows the average atmospheric concentration of a pollutant in ppm for seven selected years. The data can be modeled by the functions f(x)=1.27x+310 and g(x)=0.01x^2+0.6x+313 where f(x) and g(x) represent the average concentration of pollutant in ppm x years after 1950. Complete parts (a) through (c). a. Find and interpret f(40). Use the equation for f(x) to identify this information as a point on the graph. (Type an ordered pair.)

Differentiate. y=x^5 ln x-frac13 x^3 fracd yd x=square

Let f(x) = 400x - 11x^2 - 9. Find the maximum value of f to four decimal places graphically. The maximum value of f is □ . (Round to four decimal places as needed.)

According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 24 flights are recorded. (a) Explain why this is a binomial experiment. (b) Determine the values of n and p. (c) Find and interpret the probability that exactly 15 flights are on time. (d) Find and interpret the probability that fewer than 15 flights are on time. (e) Find and interpret the probability that at least 15 flights are on time. (f) Find and interpret the probability that between 13 and 15 flights, inclusive, are on time.

For problems from 1) - to - 7) factor out t each polynomial. 1) 32 x^2+48 x-16= 2) 12 x^3-8 x^2+16 x+8= 3) x^5+x^4+3 x^3+3 x^2= 4) 6 x^7+3 x^4-9 x^3= 5) 15 x^4+20 x^3+35 x= 24 x^8+6 x^5+9 x^2=

(x^2-3x)(1+x)

CSM Course Do these problems in your head. Use paper only for the problems that you just can't do in your head. It's important to do as many of these problems without paper as you can. Do not use a calculator at all. All of the following problems are division problems. 98.2 ÷ 10 = 994.8 ÷ 10 = = 3.5 ÷ 10 = 9.8 ÷ 10 = 32.7 ÷ 1000 = 0.64 ÷ 100 = 5 ÷ 10 = = 56 ÷ 1000 = 484 ÷ 10 = Check Answers → If you don't know to do the problem, just do your best. We will analyze your answers to give you personalized help. () 2024 CSMlearn, licensed to SeeMore Impact Labs, All Rights Reserved

Consider the following interval. the area between (z=1.43) and (z=2.15) Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)

(7 x^2 - 5 x - 1) + (-2 x + 6)

Multiple Choice Question The area under a uniform distribution (or any probability distribution) represents a probability. Which one of the following statements characterizes this area? - The area will be greater than one, because each probability has one as an upper limit. - The area will be less than one, because a probability is always less than one. - Area to the left of the mean is negative and area to the right of the mean is positive. - The total area is one.

The equation of the line that goes through the point (2,7) and is perpendicular to the line 5x+2y=3 can be written in the form y=mx+b where m is: and where b is:

How many four-letter passwords can be formed from the letters in the word "mindful" if each letter has to be distinct? There can be such passwords.

Find the cost of each item in 12 years, assuming an inflation rate of 11% (compounded continuously). (Round your answers to the nearest cent.) (a) phone bill, 44 164.71 (b) pair of shoes, 63 235.84 (c) new suit, 314 1175.43 (d) monthly rent, 750

Use the following function rule to find (f(10)). (f(x)=x^2+5 x) (f(10)=)

Listed below are pulse rates (beats per minute) from samples of adult males and females. Does there appear to be a difference? Find the coefficient of variation for each of the two samples; then compare the variation. Male 86 The coefficient of variation for the female pulse rates is 82.3 %. (Type an integer or decimal rounded to one decimal place as needed.) Compare the variation.

Consider the function: g(x)=x^2-7 x+13 Find and simplify g(x-11). [Hint: See § 2.1, Example 5d.]

Given the function p(x)=12/(4x+11), determine the inverse function p^(-1)(x) in simplified form: p^(-1)(x)= Determine the domain and range for both p(x) and p^(-1)(x) using interval notation: Domain of p(x) : Domain of p^(-1)(x) : Range of p(x) : Range of p^(-1)(x) :

Identify the Domain of the following functions. Write your answers in Interval Notation. Function g(x)=1/(x+1) f(x)=-3x^2+8 p(t)=-9t+9 h(x)=sqrt(x+2) Domain square square square square

Find a common numerator to compare the fractions. Use <,>, or =. 2/9 ○ 8/12

Winter visitors to Mt. Washington in New Hampshire can travel up the mountain in a specially designed snow vehicle. A group of 105 visitors goes on the snow-vehicle tour. Each tour vehicle can transport 9 visitors. How many vehicles will be needed for all of the visitors? 105 divided by 9 equals 1 of 5 QUESTIONS The remainder to this problem shows that if there are 11 snow vehicles, The total number of vehicles needed for all visitors is

7x + 13 = 3x - 10 + 2x + 23

Determine the total area under the standard normal curve for parts (a) through (c) below. For each, be sure to draw a standard normal curve and shade the area that is to be found. (a) Determine the total area under the standard normal curve to the left of z=-1 or to the right of z=1. The total area under the standard normal curve to the left of z=-1 or to the right of z=1 is 0.3174 . (b) Determine the total area under the standard normal curve to the left of z=-1.59 or to the right of z=2.59.

Use the properties of logarithms (a) 3 log3 2 - log3 72 =

The relation R is defined by the ordered pairs listed below. R=(2,-3),(-9,12),(2,-6),(4,-16),(-9,6) The domain of R is The range of R is Is R a function? No, the relation is not a function Yes, the relation is a function

Find the values of (x) and (y) in each of the following triangles. 1. (x=x quad y=x sqrt2) 2. (x=22.5 quad y=45)

missing angle measurement

Draw the reflection of the following triangle over the line p.

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