Math Homework Questions & Answers Archive

Consider the function f(x)=2x^2-16x-9. a. Determine, without graphing, whether the function has a minimum value or a maximum value. b. Find the minimum or maximum value and determine where it occurs. c. Identify the function's domain and its range.

(a^3 / -3b^5)^4

Find the focus and directrix of the following parabola: (y-1)^2=4(x-1) Focus: ([?], ) Directrix: x=

A 3125 ft^3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top flush with the ground to catch runoff water. The costs associated with the tank involve not only the material from which the tank is made but also an excavation charge proportional to the product xy. a. If the total cost is c=6(x^2+4xy)+36xy, what values of x and y will minimize it? b. Give a possible scenario for the cost function in part (a). a. The values of x and y that minimize the cost are x= and y= The minimum cost is .

What is the 68-95-99.7 rule for normal distributions? Explain how it can be used to answer questions about frequencies of data values in a normal distribution. Choose the correct answer below. A. The rule states that about 0,1 , and 2 data points lie in 68%, 95%, and 99.7% of the data points, respectively, in a normal distribution. B. The rule states that about 68%, 95%, and 99.7% of the data points in a normal distribution lie within 0,1 , and 2 standard deviations of the mean, respectively. C. The rule states that about 68%, 95%, and 99.7% of the data points in a normal distribution lie within 1,2 , and 3 standard deviations of the mean, respectively. D. The rule states that about 1,2 , and 3 data points lie in 68%, 95%, and 99.7% of the data points, respectively, in a normal distribution.

Random Variables and Distributions Standard normal values: Advanced Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the following is true. P(-1.21 ≤ Z ≤ c)=0.8715 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.

Is 700 cubic inches of air enough to fill a beach ball with a radius of 6 inches? Enter the volume of the ball. Use 3.14 for an approximation. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest whole number as needed.) A. No, because the volume of the ball is cubic inches and there is not enough air to fill the ball. B. Yes, because the volume of the ball is cubic inches and there is enough air to fill the ball.

Write a formula for the polynomial shown below, using the smallest powers possible: f(x)=

Calculate the mean (X̄) of the data. Round your answer to 2 decimal places as needed. Calculate the standard deviation ( S ) using your graphing calculator. Hint: Also verify that the mean you calculated in part d matches the mean from the calculator. Standard deviation =1.99 Round your answer to 2 decimal places as needed. Determine the range of variation: (X̄-S, X̄+S)=(1.45, 5.43) Round your answers to 2 decimal places as needed. Calculate what percent of the data values are within one standard deviation of the mean. Hint: Create a histogram on paper and shade the included region(s) on your histogram to help visualize the shaded area and help with calculations. Total area of shaded region = Round your answer to 2 decimal places as needed. Percent of area within one standard deviation = Round your answer to 2 decimal places as needed.

You are given the following information about the events A, B, and C. - P(A)=0.55 - P(B)=0.45 - P(C)=0.40 - P(A and B)=0.2475 - P(B and C)=0.1644 - P(A and C)=0.2034 Determine which (if any) pairs of the three events are independent.

Factor the following trinomial. If it cannot be factored, indicate "Not Factorable". x^2+3x-4

The Guenthers' gross monthly income is 3700. They have 18 remaining payments of 390 on a new car. They are applying for a 30-year, 108,000 mortgage at 7.5%. The taxes and insurance on the house are 290 per month. The bank will only approve a loan that has a total monthly mortgage payment of principal, interest, property taxes, and homeowners' insurance that is less than or equal to 28% of their adjusted monthly income. Complete parts (a) through (c) below. Click the icon to view the table of monthly payments. a) Determine 28% of the Guenthers' adjusted monthly income. (Round to the nearest cent.)

For the polynomial below, 2 is a zero. h(x) = x^3 - 6x + 4 Express h(x) as a product of linear factors.

Consider the following quadratic function. f(x)=-3(x+1)^2+5 Identify the vertex and the axis of symmetry. vertex (x, y)= axis of symmetry Determine whether the vertex yields a relative and absolute maximum or minimum. relative and absolute maximum relative and absolute minimum

Solve for (v). [ 25=-frac52 v ] Simplify your answer as much as possible. [ v= ]

Find the mean, median, and mode for the following data set. Round your answers to one decimal place, if necessary. 11 24 24 -13 14

Simplify the rational expression. Find all numbers that must be excluded from [ fracx^2+18 x+81x^2-81 ]

Fill out the black to make the given table below a probability distribution. x P(x) ------ 0 0 1 0.06 2 0 3 0.46 4

1/4 x^3 - x^2 - 1/6 x^2 + 3/8 x^3 + 1/16 x^3 1/4 x^3 - x^2 - 1/6 x^2 + 3/8 x^3 + 1/16 x^3 =

sum from n=1 to 6 of 3(4)^(n-1) S=[?]

Find the difference quotient (f(x+h)-f(x))/h, where h ≠ 0, for the function below. f(x)=4x^2-2x+1 Simplify your answer as much as possible. (f(x+h)-f(x))/h=

The price of an item yesterday was 180. Today, the price rose to 207. Find the percentage increase. %

Use symmetry to evaluate the double integral. ∫∫R x^13 dA, R=[-4,4] × [0,5]

Graph the function, considering the domain, critical points, symmetry, regions where the function is increasing or decreasing, inflection points, regions where the function is concave upward or concave downward, intercepts where possible, and asymptotes where applicable. f(x) = x^(11 / 3) - x^(14 / 3)

Sketch the graph of g(x) = - x + 2 if x < 2 - -4 if x ≥ 2

Figure ABCD is a kite. Find the value of x.

A small business owner budgets 2,200 to purchase candles. The owner must purchase a minimum of 200 candles to maintain the discounted pricing. If the owner pays 4.90 per candle to purchase small candles and 11.60 per candle to purchase large candles, what is the maximum number of large candles the owner can purchase to stay within the budget and maintain the discounted pricing?

The Ramirez family wants to save money to travel the world. They plan to invest in an ordinary annuity that earns 7.8% interest, compounded monthly. Payments will be made at the end of each month. How much money do they need to pay into the annuity each month for the annuity to have a total value of 14,000 after 10 years? Do not round intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas.

Determine whether each ordered pair is a solution to the inequality (2 x-8 y geq 75). a. ((10,-7)) b. ((-11,-12)) c. ((7.5,-7.5)) a. Is the ordered pair ((10,-7)) a solution of the linear inequality? because substituting the (x)-and (y)-coordinates for the variables and simplifying on the left side results in which is to the right side

Determine the domain and range. Domain: x -2 ≤ x ≤ 2; range: y -4 ≤ y ≤ 4 Domain: all real numbers; range: all real numbers Domain: x x ≥ 2; range: y y ≥ 4 Domain: x -4 ≤ x ≤ 4; range: y -2 ≤ y ≤ 2

A survey of Canadian teens aged 12 to 17 years reported that roughly 75% of them used a fee-based website to download music. You decide to interview a random sample of 15 U.S. teenagers, who you are assuming behave similarly to the Canadian teenagers. What is the mean of the count X who used a fee-based website to download music? (Do not round.) Interpret this value as it pertains to teens and purchasing downloaded music.

The table below shows the frequency distribution of the rainfall on 52 consecutive Mondays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal? Class Frequency ------ 0-0.19 23 0.20-0.39 13 0.40-0.59 6 0.60-0.79 2 0.80-0.99 4 1.00-1.19 1 1.20-1.39 3 Choose the correct histogram below. A. B. C. Do the data appear to have a distribution that is approximately normal? A. No, it is not symmetric. B. No it has no obvious maximum

The functions f and g are defined as f(x)=4x-3 and g(x)=-5x^2. a) Find the domain of f, g, f+g, f-g, fg, ff, f/g, and g/f. b) Find (f+g)(x), (f-g)(x), (fg)(x), (ff)(x), (f/g)(x), and (g/f)(x). The domain of fg is (-∞, ∞). The domain of ff is (-∞, ∞). The domain of (f/g)(x) is (-∞, 0) ∪ (0, ∞). The domain of (g/f)(x) is (-∞, 3/4) ∪ (3/4, ∞). b) (f+g)(x)=-5x^2+4x-3 (f-g)(x)=5x^2+4x-3 (fg)(x)=-5x^2(4x-3)

Solve the right triangle. Round your answers to the nearest tenth. A= ° a= b=

A student in a statistics class took the midterm and was told by the professor that her z-score for the exam was 1.5. What does this tell us about the student's score relative to the rest of the class? Her score is 1.5 standard deviations below the mean Her score is 1.5 standard deviations above the mean Her score is 1.5 points below the mean Her score is 1.5 points above the mean Her score is 15% higher than the class mean Her score is 15% lower than the class mean

Perform the indicated operation. Write your answer in scientific notation. (2 x 10^4)(4.1 x 10^3) A) 82 x 10^8 B) 8.2 x 10^-7 C) 0.82 x 10^-6 D) 8.2 x 10^7

Give the domain and range of the quadratic function whose graph is described. The vertex is (-8,-7) and the parabola opens down.

Perform this subtraction: [ (-2 x^5+2 x^2-7 x)-(9 x^5+3 x^2-3) ]

The rates of change in population for two cities are P'(t)=42 for Alphaville and Q'(t)=105 e^(0.06 t) for Betaburgh, where t is the number of years since 1990, and P' and Q' are measured in people per year. In 1990, Alphaville had a population of 5500, and Betaburgh had a population of 3000. Answer parts a) through c). b) What were the populations of Alphaville and Betaburgh, to the nearest hundred, in 2000? The population of Alphaville in 2000 was 5900 people. (Round to the nearest hundred as needed.) The population of Betaburgh in 2000 was 4400 people. (Round to the nearest hundred as needed.) c) Sketch the graph of each city's population model and estimate the year in which the two cities have the same population. Choose the correct graph below. A. B. C. D. The two cities have the same population in the year . (Round to the nearest year as needed.)

A company's office supply expenses increase by 10% each year. The function C is used to calculate the cost of office expenses for each year. For example, C(2007) is 10,100 Office Supply Costs Year (y) Cost (C(y)) 2007 10,100 2008 11,110 2009 12,221 2010 13,443 2011 14,787 2012 16,266 2013 17,893 2014 19,682 2015 21,650 2016 23,815 2017 26,197 Which statement about the table above is accurate? C(2012) is 16,266. C(2009) added to 10% of C(2009) is C(2008). C(2014) is 10% of C(2013). C(26,197) is 2017.

A company's product varies in cost depending on the number of features added to the standard features. The base cost is 10,000, and each additional feature adds 1,100 to the base cost. The company uses a cost function, C(n), to represent the cost of the product with n additional features. For example, C(1) represents the cost of 10,000 plus 1,100 for one additional feature. Which interpretation is accurate? C(5) is the base cost plus the cost of five additional features. C(3) is the base cost plus the cost of four additional features. C(1) is the base cost with just the standard features. C(4) is the base cost plus the cost of three additional features.

If your answer is not an integer, 6/3 x-6=1-6/9 x x=

Monroe played 30 games and lost only 8 of them. What percent of the games did they lose: Round your answer to the nearest tenth (one decimal place) of a percent. Enter only the value without the percent sign.

Use graphical differentiation to verify that d/dx ln x = 1/x. Graph the function y=ln x. Choose the correct graph below. Each graph is shown on [-1,10] by [-1,10].

approaches, but does not touch, the -axis.

Write the associated linear equation for the inequality x₁+x₂ ≤ 8. Use s₁ as the slack variable.

Find the slope and y-intercept of the following linear equation. Express the y-intercept as a coordinate pair. -6x + 10y = -7

Déterminer si les matrices suivantes sont idempotentes. a) A=[0 1; 0 1] b) B=[2 -1; 2 4] c) C=[-11 4; -33 12] d) E=[1 0 0; 0 1 1; 0 -1 1]

The sum of a number and 24 times its reciprocal is 11. Find the number(s).

Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. The results in Tinterval the screen display are based on a 95% confidence level. Write a statement that correctly interprets the confidence interval. (13.046,22.15)/x=17.598 S x=16.01712719 n=50 Choose the correct answer below. A. We have 95% confidence that the limits of 13.05 Mbps and 22.15 Mbps contain the sample mean of the data speeds at the airports. B. The limits of 13.05 Mbps and 22.15 Mbps contain the true value of the mean of the population of all data speeds at the airports. C. We have 95% confidence that the limits of 13.05 Mbps and 22.15 Mbps contain the true value of the mean of the population of all data speeds at the airports. D. The limits of 13.05 Mbps and 22.15 Mbps contain 95% of all of the data speeds at the airports.

Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(35<X<66) Which of the following normal curves corresponds to P(35<X<66) ? A. B. C. P(35<X<66)= (Round to four decimal places as needed.)

Find the LCD of the rational expressions in the list. 8/(5x+15), 7/(6x-48) The LCD (least common denominator) is □ (Type your answer in factored form.)

A circle is growing, its radius increasing by 3 mm per second. Find the rate at which the area is changing at the moment when the radius is 21 mm. When the radius is 21 mm, the area is changing at approximately (Round to the nearest thousandth as needed.)

For each value of y, determine whether it is a solution to -47>-9y+7. y Is it a solution? Yes No --------- 1 ○ 6 ○ 10 ○ ○ -6

What combination of transformations is the result from figure A to figure C.

Polynomial and Rational Functions Finding x - and y-intercepts given a polynomial function Find all x-intercepts and y-intercepts of the graph of the function. f(x)=x^3-3 x^2-x+3 If there is more than one answer, separate them with commas. Click on "None" if applicable. x-intercept(s): None √ √[]

What is P(X>0)?

Consider the following function. q(x)=-2 sqrt(x+3)+4 Step 1 of 2: Determine the more basic function that has been shifted, reflected, stretched, or compressed. Answer f(x)=

State the domain of the following function. y=-8x-15

Compute the mean and standard deviation of the random variable with the given discrete probability distribution. x P(x) -2 0.1 2 0.26 3 0.28 4 0.14 7 0.22 Part 1 of 2 (a) Find the mean. Round the answer to three decimal places, if necessary. The mean is . Part 2 of 2 (b) Find the standard deviation. Round the answer to three decimal places, if necessary. The standard deviation is

Graduation is 5 years away and you want to have 1300 available for a trip. If your bank is offering a 5-year CD (certificate of deposit) paying 3.5% simple interest, how much do you need to put in this CD to have the money for your trip?

What is the simple interest rate on a 1500 investment paying 1,012.50 interest in 13.5 years? % (round to the nearest tenth of a percent)

You have 120 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? a. 900 sq ft b. 140 sq ft c. 30 sq ft

Solution* Using the additive rule, the probabilities are: 1. P(A ∪ D) = P(A) + P(D) - P(A ∩ D) = 6/10 + 5/10 - 2/10 = 9/10 2. P(B ∪ C) = P(B) + P(C) - P(B ∩ C) = 4/10 + 5/10 - 1/10 = 8/10

Listed below are the measured radiation absorption rates (in W / kg) corresponding to 11 cell phones. Use the given data to construct a boxplot and identify the 5 -number summary. 1.34 0.52 1.09 0.62 1.37 1.17 0.81 0.91 1.49 0.57 1.07 The 5-number summary is , , , , and , all in W/kg. (Use ascending order. Type integers or decimals. Do not round.)

The graph of y=f(x) is shown to the right. Identify the x-coordinates of the points where f(x) has a local minimum. Which of the following shows every x-coordinate where f(x) has a local minimum? Choose the correct answer below. A. a, d, 9 B. a, c, 9 C. d, g D. b, 1

Shawn invested 40 and tripled his money in five years. Ashley also invested 40, and after five years the amount was equal to 40 to the third power. Who had more money after five years? Explain. Select the correct choice and fill in the answer boxes to complete your choice. A. Shawn had more money after five years. Ashley had 40 times 3= after five years, but Shawn had 40 times 40 times 40= , or 40^3. B. Ashley had more money after five years. Shawn had 40 times 3= 120 after five years, but Ashley had 40 times 40 times 40= 64,000, or 40^3.

The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. (a) Determine the probability that a randomly selected fatal crash in 2016 occurred in normal weather. P(Normal)=0.858 (Round to three decimal places as needed.) (b) Determine the probability that a randomly selected fatal crash in 2016 occurred in daylight. P(Daylight) = (Round to three decimal places as needed.)

Use linear approximation, i.e. the tangent line, to approximate √49.3 as follows: Let f(x)=√x. Find the equation of the tangent line to f(x) at x=49 L(x)= Using this, we find our approximation for √49.3 is

A sofa regularly sells for 560. The sale price is 442.40. Find the percent decrease of the sale price from the regular price.

Use the equation below and the indicated value to find an ordered pair that is a solution. y=5x-4 Let x=1 The ordered pair is (1, ). (Simplify your answer. Type an integer or a fraction.)

Use reference angles to find the exact value of the following expression. csc (-π/4) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. csc (-π/4)= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize the denominator.) B. The answer is undefined.

Factor the number N=636683 by using the following information: 1387^2=2^3 * 5 * 7^3(mod N) and 3359^2=2 * 3^8 * 5 * 7(mod N)

14/70 = 8/n

The mean for the sampling distribution of X is the same as the mean of the underlying random variable X. True False

For x ≠ 0, if f(x)=3x^2 and g(x)=1/x, then f(g(x))= - 3x - 1/(3x^2) - 3/x^2 - x^2/3 - 1/(3x)

Use synthetic division and the Factor Theorem to determine whether the given binomial is a factor of P(x). P(x)=25x^4-20x^3+13x^2+23x+5, x-1/5

(a) Sabiendo que lim cuando x tiende a infinito de (1+1/x)^x = e, calcule lim cuando x tiende a infinito de (1+2/x)^x.

Solve this equation. (Remember to undo in reverse order.) 3(x+1)=18

Solve: (x^2+3x-4=0)

The standard deviation of the lengths of hospital stay on the intervention ward is 6.1 days. Complete parts (a) through (c) below. a. For the variable "length of hospital stay," determine the sampling distribution of the sample mean for samples of 62 patients. The sampling distribution will be approximately normal with mean μ and standard deviation σ̄ₓ= days. (Round to four decimal places as needed.)

Solve for (b). [ (b+a) m=r b=square ]

find the mean Score Percent of final grade Homework 88 10 Quiz 80 10 Quiz 93 10 Project 98 35 Final Exam 86 35

3 × 2^2 × 1^3 / 3^2 × 2 × 1^-1

Find the indicated values for the function f(x) = sqrt(2x-10). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. f(10) = (Round to the nearest hundredth as needed.) B. The function value is not a real number.

For -y-2x=-2 determine the value of y when x=0, and the value of x when y=0. Then graph the line using the identified intercepts.

For the function f(x) = x^2 / (2 + x), find f''(x). Then find f''(0) and f''(4).

Assume the random variable X is normally distributed, with mean μ=52 and standard deviation σ=5. Find the 10th percentile. The 10th percentile is (Round to two decimal places as needed.)

(15x^3+22x^2-20x+3)/(5x-1)

Assinale, qual das EDO abaixo é exata (A) (1+x^2 y^2) dx+(x^2 y^2) dy=0 (B) (ln y+x^2) dx+(y e^x) dy=0 (C) (xy2) dx+(tg(x)-y) dy=0 (D) (ln y+sec (x)) dx+(y^3-e^x) dy=0 (E) (y cos (x)) dx+(sin (x)+y^2) dy=0

Fill in the blank. A combination of numbers, variables, and operation symbols is called an algebraic expression. equation. inequality. model.

Find the inverse function of (f). [f(x)=9x+5]

√20a^4b^6c^3

Graph the line by plotting any two ordered pairs that satisfy the equation. y=5-x

Simplify the following expression. Write the result using positive exponents only. Assume that all bases are not equal to 0 . r / (r^(-2) r^(-7)) r / (r^(-2) r^(-7))=

Factor. 14x^3-7x^2+10x-5

A species of animal decreased from 2950 in 1998 to 2280 last year. What is the percentage change?

Solve for the remaining angles and side of the one triangle that can be created. Round to the nearest hundredth: B=125°, c=3, b=6.5 C= A= a=

Multiply the following and express your answer in appropriate scientific notation: (2.2 × 10^-9) × (2.3 × 10^-21) product =

When σ is unknown, the margin of error is computed by using

Graph the function. f(x)=-(x-3)^2 Choose the correct graph on the right. A. C. B. D.

Here are summary statistics for randomly selected weights of newborn girls: n=36, x̄=3150.0 g, s=695.5 g. Use a confidence level of 95% to complete parts (a) through (d) below. b. Find the margin of error. E=227.2 g (Round to one decimal place as needed.) c. Find the confidence interval estimate of μ. 2922.8 g<μ<3377.2 g (Round to one decimal place as needed.) d. Write a brief statement that interprets the confidence interval. Choose the correct answer below. A. One has 95% confidence that the sample mean weight of newborn girls is equal to the population mean weight of newborn girls. B. Approximately 95% of sample mean weights of newborn girls will fall between the lower bound and the upper bound. C. One has 95% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls. D. There is a 95% chance that the true value of the population mean weight of newborn girls will fall between the lower bound and the upper bound.

-3 ≤ 3x^2+2<1 What is the maximum value f(2x+x=3x^2. 2 for -3 ≤ x<1 ? A) 5 B) 6 C) 27 D) 29 a is a factor of 16 and b is a factor of 27, which is the least value that ab must be a factor of? 1) 1 2) 6 3) 144 4) 432

Solve the inequality. Write the solution set in interval notation and graph the solution set. (x+9)/(x-1)<0 What is the solution set?

A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Complete parts (a) through (c) (a) What percentage of standardized test scores is between 173 and 887? 99.7 % (Round to one decimal place as needed.) (b) What percentage of standardized test scores is less than 173 or greater than 887? 0.3 % (Round to one decimal place as needed.) (c) What percentage of standardized test scores is greater than 768? % (Round to one decimal place as needed.)

Find the maximum and minimum values of the function g(θ)=4 θ-8 sin (θ) on the interval [0, π/2] Round to 4 decimal places if needed.

Which point best approximates √3?

Find the least common denominator (LCD) of 16x/(x+5) and 9/(5x+25). The least common denominator is

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X ≤ 2), n=6, p=0.3

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n=70, find the probability of a sample mean being less than 21.1 if μ=21 and σ=1.27. For a sample of n=70, the probability of a sample mean being less than 21.1 if μ=21 and σ=1.27 is (Round to four decimal places as needed.)

Calcular a derivada de uma função constante: 1. Calcule a derivada das seguintes funções a) f(x)=-1

Don Alberto ha comprado un automóvil de último modelo en la agencia de autos Super Autos. Aunque el vendedor no se lo explicó, el averiguó por cuenta propia que su nueva adquisición se deprecia rápidamente y que el valor de su auto puede ser calculado utilizando la ecuación v(t)=120000(0.88)^t donde t es el tiempo en años transcurrido desde la compra y V es el valor del automóvil en quetzales. A. Determine el costo inicial del automóvil.

Sketch the graph of the polynomial function. Do not use a graphing utility. f(x) = x^3 + 15x + 80 (in factored form, f(x) = -(x + 5)(x + 4)(x - 5))

Write the equation of the least-squares regression line for your data. Then on the scatter plot for your data, graph this regression equation by plotting two points and then drawing the line through them. Round each coordinate to three decimal places. Regression equation: y-hat = 16.944 + 26.564 Use your regression equation to predict the weight of a 9-month-old Holstein calf on the farm. Round your answer to the nearest whole number.

Evaluate the expression. If the answer is not an integer, round to four decimal places. 400! / 398! Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The value is an integer, 400! / 398! = . (Type an integer.) B. The value is not an integer, 400! / 398! = . (Round to four decimal places as needed.)

(a) State the null hypothesis (H0) and the alternative hypothesis (H1). (H0:) (H1:) (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the (p)-value. (Round to three or more decimal places.) (e) Can we conclude that the mean IQ score of this year's class is greater than that of previous years? Yes No Check

Evaluate ∫[f(x) · g(x)]′ dx

Add. [ fracx10+frac3 x8 ] Select the correct choice below and fill in any answer boxes within your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) A. (fracx10+frac3 x8=) (square) (x neq) (square) B. (fracx10+frac3 x8=) (square) . no numbers must be excluded.

-4x-[4-(3-2x)]+5x

Multiply and simplify (5x^2 - 8x - 1)(2x^2 - 7x + 8)

55/(6(3-2)+5)+2(3)^2/(8-2)

Determine if the relation is a function. Determine the domain and range for each. a) (3,4),(4,-6),(5,-7),(19,4),(-2,5) b) (-3,4),(-2,5),(0,0),(-2,11),(4,8)

Module 3 ALEKS Practice Homework Question 19 of 33 (4 points) Question Attempt: 1 of 3 For the data set 14 40 19 44 37 84 6 24 69 38 29 Part 1 of 4 (a) Find the first and third quartiles. The first quartile is 19. The third quartile is 44. Part 2 of 4 (b) Find the IQR. IQR=25 Part 3 of 4 (c) Find the upper and lower outlier boundaries. The lower outlier boundary is . The upper outlier boundary is .

Manuela solved the equation (3-20.5 x+1.5=2) for one solution. Her work is shown below. [ 3-20.5 x+1.5 =2 -20.5 x+1.5 =-1 0.5 x+1.5 =0.5 0.5 x+1.5 =0.5 0.5 x =-1 x =-2 ] What is the other solution to the equation? (x=-6) (x=-4) (x=2) (x=4)

Use the quadratic formula to solve 5x^2 + 3x - 3 = 0 Round your answer to the nearest If there is more than one solution, x=

Find (f^prime prime(x)). (f(x)=sqrt[4]left(x^2+1right)^3) (f^prime prime(x)=)

Use the display of data to find the standard deviation. The standard deviation is approximately □. (Do not round until the final answer. Then round to the nearest hundredth as needed.)

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the parabola to identify the function's domain and range. f(x)=(x-3)^2+1 The axis of symmetry is x=3. Identify the function's domain. The domain is (-∞, ∞). Identify the function's range. The range is [1, ∞).

Find the intercepts for the graph of the equation given. x+7 y=0

Use the following roster notations to write in set builder notation, use x as the variable. 2,4,6,8,10,12,14,16,18,20,22,24,26 x x is an integer between 1 and 27

Given: triangle XOB congruent to angle AOX Prove: m angle XOB=90 degrees Statements Reasons 1. angle XOB congruent to angle AOX 1. given 2. angle XOB and angle AOX are supplementary 2. linear pair theorem 3. m angle XOB+m angle AOX=180 degrees 3. definition of supplementary angles 4. m angle XOB=m angle AOX 4. definition of congruence 5. 2 m angle XOB=180 degrees 5. substitution property of equality m angle XOB=90 degrees 6. division property of equality Since line segment AOB forms a line segment, angle XOB and angle AOX are supplementary by the linear pair theorem. Using the definition of supplementary angles, m angle XOB+m angle AOX=180 degrees. Since it is given that angle XOB congruent to angle AOX, then m angle XOB=m angle AOX.

Which of the following numbers is divisible by 3? 372625 927451 153424 451242

Use the steps for solving linear equations to solve the given linear equation for y. 3.2 y+1.2(y-4)=61.2

A population of values has normal distribution μ=121.1 and σ=85.9 sample size =n=136 What is the mean of distribution? What is standard deviation?

Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the profit, to the nearest dollar, for a selling price of 36.25 dollars. Price (x) Profit (y) 12.25 16216 14.75 24134 20.00 34589 28.50 37621 33.75 30737 36.25 24424 Copy Values for Calculator Open Statistics Calculator Answer Attempt 1 of 3

Simplify. (2 × 10^(-5))^4 (2 × 10^(-5))^4= (Use scientific notation. Use the multiplication symbol in the math palette as needed.)

Now we will calculate the actual probability that all the cards we are dealt in a poker game are of the same suit. We have found that the probability is given as (4 C1 * 13 C5) / (52 C5) Express your answer as a decimal rounded to four decimal places.

Bob is asked to construct a probability model for rolling a pair of fair dice. He lists the outcomes as 2,3,4,5,6,7,8,9,10,11,12. Because there are 11 outcomes, he reasoned, the probability of rolling a five must be 1/11. What is wrong with Bob's reasoning? Choose the correct answer below. A. The probability of an event is greater than 1. B. The sum of the probabilities of all outcomes does not equal 1. C. The experiment does not have equally likely outcomes. D. The probability of an event is less than 0. E. There is nothing wrong with Bob's reasoning.

x^0=1, where x ≠ 0 When you raise (almost) anything to the power zero, you get 1. Here's the reason why this makes sense. Suppose I have 5^3/5^3, using the quotient rule this is 5^(3-3)=5^0. I can also think what happens when I simplify this like a fraction 5^3/5^3=125/125=1. x^0=x^n/x^n=1 as long as x isn't zero (we cannot divide by zero). Complete this expression. Assume that any variables are not equal to zero. z^0= Simplify the following expression completely. (4v+3)^0= Simplify the following. 2^0= Note: 0^0 is undefined. 0^n=0 for any exponent n ≠ 0. Simplify. 0^2=

Graph the solution set. x-y ≥ 3 x+y ≤ 3

Books: Josephine has five chemistry books, three history books, and four statistics books. She wants to choose one book of each type to study. In how many ways can she choose the three books? The total number of ways Josephine can choose the three books is .

Resolver la ecuación diferencial sujeta a las condiciones dadas. (x D-1) y=-x^3 sen x y(π / 2)=π

Rickey, Ashley and Loretta decide to enter a marathon race. The respective probabilities that they will complete the race is 0.9, 0.7 and 0.6. a) How many total outcomes are possible? Draw a tree diagram. b) Assuming that their performances are independent, find the probability that: i) they all complete the race. ii) at most one complete the race. iii) at least two complete the race.

Alan purchased a prepaid phone card for 40.25. Calls cost 6 cents a minute using the card. The credit C (in dollars) left on the card after x minutes of calls is given by the following function.

The functions (f) and (g) are defined as follows. (f(x)=3 x^2-3 x) and (g(x)=4 x+4). Find (f(-2)) and (g(-3)). Simplify your answers as much as possible. (f(-2)=) (g(-3)=)

Find the missing side of the triangle. Round to the nearest tenth if necessary.

Solve for (w), where (w) is a real number. [ sqrt5 w+14=w ] If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". [ w= ]

Square roots of integers raised to even exponents

Question 10 1 pts (Section 4.2) Hospital records indicate that 28% of patients have high blood pressure, 26% of patients have diabetes, and 13% have both. What is the probability that a randomly selected patient has high blood pressure or diabetes? 13% 54% 41% 59%

Una Persona conviene en cancelar 400.800 en 48 pagos parciales mensuales, que forman una progresión aritmética. Cuando 38 pagos han sido realizado, la Persona fallece dejando una deuda sin pagar de 102.500. Determine el valor del primer pago.

Nikita is a government official looking to find evidence on whether the mean taxable income for an individual taxpayer in the region dropped since the previous year. She surveyed 32 individual taxpayers in the region and found the taxable income of each individual. Instead of using the standard deviation from the survey, Nikita decided to use the census data for the region to assume that the population standard deviation of income is 26,744. The mean taxable income in the region was 62,712 for the previous year. Nikita conducts a one-mean hypothesis at the 10% significance level, to test whether this year's mean taxable income for an individual taxpayer in the region is less than the mean taxable income from the previous year. (a) Which answer choice shows the correct null and alternative hypotheses for this test? Select the correct answer below: H0: μ ≥ 62,712; Ha: μ<62,712, which is a left-tailed test. H0: μ ≥ 26,744; Ha: μ<26,744, which is a left-tailed test. H0: μ ≤ 62,712; Ha: μ>62,712, which is a right-tailed test. H0: μ ≤ 26,744; Ha: μ>26,744, which is a right-tailed test.

"How many licks to the center of a Tootsie pop?" In an attempt to answer this question, a university asked 95 volunteers to count the number of licks required before reaching the chocolate center. The mean number of licks was 316.5 and the standard deviation was 157.2.

Suppose the graph below left is the function f(x). In the space below, describe what transformations are occurring in the transformed function 3f(x)+1. Then graph it on the coordinate plane below right. (4 points)

∫((x+5)/(x^2+x-6)) dx

Question 3 4 pts You must show ALL algebraic work to receive full credit. Amani's car was worth 15,000 at the beginning of 2010 and the value of the car decreased exponentially, decreasing by 24% each year. a. Write a function c that determines the value of the car (in dollars) in terms of the number of years y since the beginning of 2010. b. How many years after the beginning of 2010 was Amani's car worth 3,400?

Here are some facts about units of weight. Unit Symbol Fact ounce oz pound lb 1 lb=16 oz ton T 1 T=2000 lb Fill in the blanks. 6 T= lb 4 lb= oz

The functions (f) and (g) are defined as follows. [ f(x)=fracx+7x^2-49 ] [ g(x)=fracxx^2+9 ] For each function, find the domain. Write each answer as an interval or union of intervals. Domain of (f) : (square) Domain of (g) : (square)

El resultado de la multiplicación de las siguientes matrices es: 3 -6 1 0 -6 4 0 1 Seleccione una: a. 3-1 -6 4 b. 0 3 c. 3 1 d. 30 0 4

Determine: i) El modelo o función lineal y=f(x) que representa dicha gráfica. Justifique su respuesta con un desarrollo adecuado. ii) El dominio restringido indicado en la gráfica de la función. Justifique su respuesta con un desarrollo adecuado.

Find the equation of the line with slope -3 which goes through the point (6,-7). Give your answer in slope-intercept form y=mx+b.

Write the standard form of the equation of the circle with the given center and radius. Center (-2,2), r=sqrt(3) The equation of the circle in standard form is (Simplify your answer.)

Find all excluded values for the expression. That is, find all values of (w) for which the expression is undefined. [ frac5w-14w-12 ] [ w= ]

Fill in the probability distribution table for the number of heads that occur when tossing three coins simultaneously. Event Probability 3 heads, 0 tails 2 heads, 1 tail 1 head, 2 tails 0 heads, 3 tails

If g'(x) = 2x^2, then the first derivative of ln(g(x)) equals A. 4x B. 4x / g(x) C. 2x^2 / g(x) D. ln(2x^2) E. None of the above.

A local club is arranging a charter flight to Hawaii. The cost of the trip is 583 each for 83 passengers, with a refund of 5 per passenger for each passenger in excess of 83. a. Find the number of passengers that will maximize the revenue received from the flight. b. Find the maximum revenue. a. The number of passengers that will maximize the revenue received from the flight is (Round to the nearest integer as needed.)

What is a central location for service distribution to clients on a LAN? None of these Server Mobile phone Laptop Workstation

Differentiate. g(x) = 7^x / (5x + 2)

Let h(x)=f(x) g(x). If f(x)=-x^2+x and g(x)=-2 x^2+4 x-1, what is h'(0)?

64^(1/3) use rational exponents to put this in different form

Without graphing, describe the shape of the graph of the function. Find the second coordinates of the points with first coordinates 0 and 1. f(x)=0.9^x The graph Find the second coordinates of the given first coordinates. x f(x)=0.9^x 0 f(0)= 1 f(1)= (Round to one decimal place as needed.)

Sketch the graph of each line, 3) y = -(1/4)x - 3

Find the length of the arc, s, on a circle of radius r intercepted by a central angle θ. Express the arc length in terms of π. Then round your answer to two decimal places. Radius, r=12 inches; Central angle, θ=55° s= inches (Simplify your answer. Type an exact answer in terms of π. Use integers or fractions for any numbers in the expression.) s= inches (Round to two decimal places as needed.)

Find the sample size needed to estimate the percentage of adults who can wiggle their ears. Use a margin of error of 3 percentage points and use a confidence level of 99%. Complete parts (a) and (b) below. a. Assume that p̂ and q̂ are unknown. n= (Round up to the nearest integer.) b. Assume that 23% of adults can wiggle their ears. n= (Round up to the nearest integer.)

Let h(x)=f(x) g(x). If f(x)=x^2-1 and g(x)=-x^2-4 x-2, what is h'(−2)?

Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial with zeros of 4, 5i, and -5i. f(x)=

Find the domain of the composite functions (f circ g) and (g circ f). (f(x)=sqrt3-x) ; (g(x)=frac1x-6) What is the domain of the composite function (g circ f) ? Domain: (square) (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)

Simplify: ((3-3^2)^2)/3

Given f(x)=3x-6, (a) Find f(x+h) and simplify. (b) Find (f(x+h)-f(x))/h and simplify.

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