Math Homework Questions & Answers Archive

Write this expression in its most simplified, factored form. 12x^2y - 32xy + 8y

A sample value that lies very far away from the majority of the other sample values is the center, a distribution, an outlier, a variance.

Simplify: (1 / 2w^2)^(-2).

Simplify: (x^2-3x-4)/(x^2-6x+8) * (x^2-7x+10)/(x^2+5x+4)

Part 1 - Solve Problems With Rational Numbers Question 24 ( 0.1 points) Rewrite the following pair of rational numbers in increasing order 19/20, 17/18 17/18, 19/20 19/20, 17/18 Question 25 ( 0.1 points) Rewrite the following pair of rational numbers in increasing order 7/12, 2/3 2/3, 7/12 7/12, 2/3

Divide and simplify: (x^2+4x-5)/(x^2-6x+8) / (x+5)/(x-2)

The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 90% confident that his estimate is within eight percentage points of the true population percentage? Complete parts (a) through (c) below. n=106 (Round up to the nearest integer.) b) Assume that a recent survey suggests that about 79% of adults have heard of the brand. n= (Round up to the nearest integer.)

a) Assume that nothing is known about the percentage of adults who have heard of the brand. n=267 (Round up to the nearest integer.) b) Assume that a recent survey suggests that about 83% of adults have heard of the brand. n=151 (Round up to the nearest integer.) c) Given that the required sample size is relatively small, could he simply survey the adults at the nearest college? adults. B. No, a sample of students at the nearest college is a cluster sample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults. C. Yes, a sample of students at the nearest college is a simple random sample, so the results should be representative of the population of adults. D. No, a sample of students at the nearest college is a stratified sample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults.

Find the mean, median, and mode for the following data set. 38 76 22 76 99 43 (a) Find the mean. Round your answer to one decimal place, if necessary. Mean = (b) Find the median. Round your answer to one decimal place, if necessary. Median =

This question: 1 point The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls Click the icon to view the table. 0.0312 (Type an integer or a decimal. Do not round.) b. Find the probability of getting 1 or fewer girls in 8 births. 0.0352 (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)? A. Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability. B. Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the relevant probability. C. Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability. D. Since the probability of getting 1 girl is the result from part (a), this is the relevant probability. d. Is 1 a significantly low number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event. A. Yes, since the appropriate probability is less than 0.05, it is a significantly low number. B. No, since the appropriate probability is greater than 0.05, it is not a significantly low number. C. No, since the appropriate probability is less than 0.05, it is not a significantly low number. D. Yes, since the appropriate probability is greater than 0.05, it is a significantly low number.

What are the x-intercept and y-intercept of the line y=4x+58? a) x-intercept (4,0) y-intercept (0, 4/5) b) x intercept: (-5/4, 0) y-intercept: (0,5) c) x-intercept (5,0) y-intercept (0,-5/4)

What is the definition of a midpoint in a segment? A point that divides the segment into two equal parts A point that is at the end of the segment A point that is outside the segment

The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic millimeters.

Marcus is 5 7/24 feet tall. Ben is 5 5/16 feet tall. Which of the two boys is taller? Justify your answer.

Simplify the following expression. -3+7(a-3b-1)-4(10-a+2b)

Match each equation to one of its solutions. Hint: - Substitute the x-value of 3 into each equation to find the corresponding y value. OR * Use the DESMOS calculator in Graphing Mode to help you graph. Look on each graph for when the x-value is 3. y=1/3(5x-6) a. (3,27.5) y=1.3(2)^x b. (3,10.4) y=100(0.7)^x c. (3,34.3) y=-5/6 x+30 d. (3,3)

Solve: 1/(x-1)-1/(x-3)=1/(x^2-4x+3) x=

Find the approximate area of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.

Find the limit. lim as h approaches 0 of (sqrt(19h+1)-1)/h

Write a short program to do the following: - Simulate rolling a pair of fair 6-sided dice until a 12 is rolled - Print how many rolls it took to get a 12. You may use random.randint (1,6) to generate a random integer, r, in the interval 1 ≤ r ≤ 6.

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.42 and a standard deviation of 1.52 . Using the empirical rule, what percentage of American women have shoe sizes that are between 6.9 and 9.94 ?

A football team consists of 12 each freshmen and sophomores, 20 juniors, and 13 seniors. Four players are selected at random to serve as captains. Find the probability of the following. Enter your answers as fractions or as decimals rounded to 4 decimal places. Part 1 of 4 (a) All 4 are seniors. P(4 seniors)=0.0018 Part 2 of 4 (b) There is 1 each: freshman, sophomore, junior, and senior. P(1 of each)=0.0948 Part 3 of 4 (c) There are 2 sophomores and 2 freshmen.

Question 1 of 25 possible This question: 1 point(s) possible Write the statement in the form 'if p, then q'. No rational numbers are irrational Choose the statement that best rewrites the sentence in the specified form. A. If a number is rational, then it is sometimes irrational. B. If a number is rational, then it is never irrational. C. If a number is irrational, then it is sometimes rational.

Write an equation of the line below.

Homework: Section 4.3 Score: 4/9 Answered: 4 / 9 Question 5 A binomial experiment consists of 10 trials. The probability of success on trial 3 is 0.88. What is the probability of failure on trial 7? 0.58 0.19 0.63 0.12 0.68 0.23 Submit Question

Fill in the following contingency table and find the number of students who both do not have a cat AND do not have a dog. Students have a dog do not have a dog Total ------------ have a cat 49 do not have a cat 20 46 Total 50 Provide your answer below:

For f(x)=√x and g(x)=x-2, find the following functions. a. (f ∘ g)(x) ; b. (g ∘ f)(x) ; c. (f ∘ g)(6) ; d. (g ∘ f)(6) a. (f ∘ g)(x)=

Find the following sum. 12+(-3) 12+(-3)=□

Plot the following number on the number line. 4 Plot 4 on the number line below.

a) Find the rational zeros and then the other zeros of the polynomial function (f(x)=x^3-17 x^2+55 x+25), that is, solve (f(x)=0). b) Factor (f(x)) into linear factors. a) Select the correct choice below and fill in the answer box within your choice. (Type an exact answer, using radicals as needed. Simplify your answer. Use a comma to separate answers as needed.) A. There are only rational zeros and they are . B. There are no rational zeros. The other zeros are . C. The rational zero(s) is/are , and the other zero(s) is/are .

Simplify. (7 w)^2

The growth of the number of students taking at least one online course can be approximated by a logistic function with k=0.0463, where t is the number of years since 2002. In 2002 (when t=0), the number of students enrolled was 1.659 million. Assume that the number will level out at around 7.3 million students. (a) Find the growth function G(t) for the number of students (in millions) enrolled in at least one online course. Find the number of students enrolled in at least one online course and the rate of growth in the number for the following years. (b) 2003 (c) 2010 (o) What happens to the rate of growth over time? (d) 2017

Select the correct answer. Shawn is packing these two boxes with food collected during his school's canned food drive. Which expression represents the total volume of the two boxes? 84x^3-282x^2-138x-336 13x^2+20x-57 21x^3-48x^2-199x 27x^3+48x^2-99x

The Trussville Utilities uses the rates shown in the table below to compute the monthly cost, C(x), of natural gas for residential customers. Usage, x, is measured in cubic hundred feet (CCF) of natural gas. Base charge 7.00 First 1000 CCF 0.05 per CCF Over 1000 CCF 0.10 per CCF a. Find the charge for using 600 CCF. b. Find an expression for the cost function C(x) for usage under 1000 CCF. C(x)= c. Find an expression for the cost function C(x) for usage over 1000 CCF. C(x)=

Solve the radical equation. Check all proposed solutions. sqrt(2x+12) = x-6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Use a comma to separate answers as needed. Simplify your answer.) B. The solution set is the empty set.

The equation of a circle is given below. Identify the center and radius. Then graph the circle (x+5)^2+(y+2)^2=16 Center: Radius:

If a reporter stops a random senator after the vote, what is the probability that the senator will either be a Republican or will have voted against the bill? Express your answer as a simplified fraction or a decimal. Do not round any intermediate calculations.

Perform the subtraction. EFC16-9516 EFC16-9 B 516=square16 (Simplify your answer.)

f(x)=(2x-3)/(x+4)

Convert the following as indicated: 18. 4500 mL= 19. 500 mg= g 20. 0.04 L= mL 21. 800 mL= 22. 2 kg= L 23. 2.5 g= mg 24. 40.5 cm= mm 25. 3 mg= mcg 26. 1.2 g= mg 27. 1.5 L= mL

Find each function value and the limit for f(x) = (5x^4 - 10x^2) / (6x^5 + 3). Use -∞ or ∞ where appropriate. (A) f(-6) = -0.131 (Round to the nearest thousandth as needed.) (B) f(-12) = -0.068 (Round to the nearest thousandth as needed.) (C) lim x→-∞ f(x) (A) f(-6) = -0.131 (Round to the nearest thousandth as needed.) (B) f(-12) = -0.068 (Round to the nearest thousandth as needed.) (C) Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. lim x→-∞ (5x^4 - 10x^2) / (6x^5 + 3) = □

If y varies directly as x and y=-88 when x=2, find y if x=28. (Round off your answer to the nearest hundredth.)

Male and female populations of tortoises under 80 years old are represented by age in the table below. Complete parts (a) through (d). Age Males Females 0-9 10 6 10-19 13 6 20-29 12 12 30-39 15 20 40-49 24 22 50-59 24 22 60-69 16 20 70-79 13 14 (d) Which gender has the higher dispersion in age?

Determine whether or not the indicated number is a perfect square. Select an option below. 196

What is the best definition of speed? Speed is the change of direction of an object when the object is moving. Speed is the law that an object at rest will remain at rest unless a force acts upon it. Speed is the measure of how fast an object is moving. calculated by dividing distance by time.

Find the circumference of a circle with a diameter of 4 m. Use π=3.14. Round your answer to the nearest hundredth, if necessary.

(-1/10 x)(3/5 x)

In a certain area, 39% of people own a dog. Complete parts a and b below. a. Find the probability that exactly 6 out of 20 randomly selected people in the area own a dog. The probability that exactly 6 out of 20 randomly selected people in the area own a dog is (Type an integer or decimal rounded to three decimal places as needed.)

Suppose you want to buy a new car that costs 46,300. You have no cash - only your old car, which is worth 2000 as a trade-in. The dealer says the interest rate is 3% add-on for 5 years. Find the total amount to be repaid. The total amount to be repaid is .

A=40,000(1+0.04/1)^(1+2)

Find the sum of the given vectors. a = ⟨-5, 5⟩, b = ⟨7, -2⟩ Illustrate geometrically.

Determine whether the distribution is a discrete probability distribution. x 0 1 2 3 4 P(x) 0.09 0.25 0.14 0.71 -0.19 Is the distribution a discrete probability distribution? O A. Yes, because the sum of the probabilities is equal to 1. O B. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive. O C. No, because the sum of the probabilities is not equal to 1. O D. No, because not all the probabilities are between 0 and 1, inclusive.

Module 5 Study Plan: Data Organization Question 2 1 / 3 answered The following numbers are the ages of all eight cousins in the Williams family. Use the data to answer the questions below. 2,11,20,2,2,18,8,15 Round your answers to three decimal places if needed. a. What is the mean age? b. What is the mode? c. What is the median age?

The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 11.7 % daily failure rate. Complete parts (a) through (d) below. a. What is the probability that the student's alarm clock will not work on the morning of an important final exam? (Round to three decimal places as needed.) b. If the student has two such alarm clocks, what is the probability that they both fail on the morning of an important final exam? (Round to five decimal places as needed.) c. What is the probability of not being awakened if the student uses three independent alarm clocks? (Round to five decimal places as needed.) d. Do the second and third alarm clocks result in greatly improved reliability?

From a sample with n = 24, the mean number of pets per household is 2 with a standard deviation of 1 pet. Using Chebyshev's Theorem, determine at least how many of the households have 0 to 4 pets. At least of the households have 0 to 4 pets. (Simplify your answer.)

What are the ordered pair solutions for this system of equations? y=x^2-2x+3 y=-2x+12 First, set the equations equal to each other and move everything to one side. A: x^2+9=0 B: x^2-4x+15=0 C: x^2-9=0 D: x^2+15=0

Find the center-radius form of the equation of the circle described and graph it. center (-1,0), radius 2 Type the center-radius form of the equation of the circle. (Type an equation. Simplify your answer.)

Find the length to three significant digits of the arc intercepted by a central angle θ in a circle of radius r. r=17.4 in., θ=169°

Perform the indicated operations. -4+9-8 -4+9-8=

Answer Step 1 of 22: Determine the relative frequency for the fourth class as a simplified fraction. Hours Students Watch TV in a Week Frequency Class Frequency 16-24 11 25-33 6 34-42 11 43-51 7 52-60 10

Subtract. 66 kL - 24 hL 66 kL - 24 hL = □ □ kL

You are planning a wedding. You have invited 80 people and have received RSVPs for 72 people. In preparation, you anticipate that each person will drink around 2.5 cups of punch. How many gallons do you need to purchase to make sure that no one goes thirsty? Round your answer up to the next highest gallon. gallons

Find the value of the indicated expression. 3 sqrt(16)-4 sqrt(4)

Rewrite the following equation in slope-intercept form. y-7=1/2(x-8)

Enter the correct answer in the box. An airplane makes a round-trip supply run that takes a total of 6 hours and is 350 miles each direction. The air current going to the destination is in the direction of the plane at 20 miles per hour. The air current traveling back to the starting point is against the plane at 20 miles per hour. Let x represent the speed of the airplane, in miles per hour, when there is no wind.

True or false: The variance is a measure of central tendency. True False

At a carnival, one game involves guessing the number of marbles in a plastic jar. The following data represents the guesses that people made during one hour at the carnival. Complete the frequency table for this data. 1333,1206,1293,1464,1416,1188,1178,1165,1408,1090,1102,1357,1053,1185,1317,1409 Determine the frequency of each class in the table shown. Number of Marbles in a Plastic Jar Class Frequency 1047-1116 1117-1186 1187-1256 1257-1326

4+9-6 ÷ 2 × 3=

Differentiate the function. g(x)=5 x^-3(x^4-5 x^3+12 x-8) g'(x)=

Identificar la integral que representa la longitud de arco entre los puntos (1,1) y (2,16) de la curva y=x^4 A) S=integral from 1 to 2 of sqrt(1+4x^3) dx B) S=integral from 1 to 16 of sqrt(1+16x^6) dx C) S=integral from 1 to 16 of sqrt(1+4x^3) dx D) S=integral from 1 to 2 of sqrt(1+16x^6) dx

A wheel has 10 equally sized slices numbered from 1 to 10. Some are grey and some are white. The slices numbered 1, 2, and 6 are grey. The slices numbered 3,4,5,7,8,9, and 10 are white. The wheel is spun and stops on a slice at random. Let X be the event that the wheel stops on a white slice, and let P(X) be the probability of X. Let not X be the event that the wheel stops on a slice that is not white, and let P(not X) be the probability of not X. For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.

Differentiate. G(x)=(6 x^2+5)(5 x+sqrtx) G'(x)=□

Among 53 - to 58 -year-olds, 37% say they have driven a car while under the influence of alcohol. Suppose three 53- to 58-year-olds are selected at random. Complete parts (a) through (d) below. influence of alcohol? 0.0507 (Round to four decimal places as needed.) (b) What is the probability that at least one has not driven a car while under the influence of alcohol? 0.9493 (Round to four decimal places as needed.) (c) What is the probability that none of the three have driven a car while under the influence of alcohol? 0.2500 (Round to four decimal places as needed.) (d) What is the probability that at least one has driven a car while under the influence of alcohol? (Round to four decimal places as needed.)

In each part, list the points (A-F) on the graph of f whose x-coordinates satisfy the given conditions. (a) f'(x) > 0 and f''(x) > 0 (b) f'(x) < 0 and f''(x) > 0 (c) f'(x) = 0 and f''(x) < 0 (d) f'(x) = 0 and f''(x) > 0 (e) f'(x) < 0 and f''(x) = 0 (a) Select all that apply. Point C Point F Point B Point D Point E Point A

Which answer correctly places items from smallest to largest? covalent bond, molecule, atom, neutron electron, neutron, molecule, atom atom, proton, covalent bond, molecule electron, atomic nucleus, atom, molecule, macromolecule

A sector of a circle has a diameter of 14 feet and an angle of (3 pi/5) radians. Find the area of the sector. Round your answer to four decimal places.

Identificar la integral que representa la longitud de arco entre los puntos (1,1) y (2,16) de la curva y = x^4 + 2

(8x^3+y^6)^2

Find the slope of the line. (If an answer is undefined, enter UNDEFINED.)

Consider the given function p(x)=2x^2-8x-1 (a) Write the function in vertex form. (b) Identify the vertex. (c) Determine the x-intercept(s). (d) Determine the y-intercept(s).

When substituting, must be used around negative numbers.

Write the ratio of 12 fl. oz to 1 pint.

Finding the future value and interest for an investment account with an annual interest rate of 1.46% quarterly. John invests 4200 into the account for 5 years. How much money is in John's account after 5 years? How much interest is earned on John's investment after 5 years?

In a survey, cell phone users were asked which ear they use to hear their cell phone, and the table is based on their responses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) Left 0.6355 Right 0.3041 No preference 0.0604

During the 1980s, sales of compact discs surpassed record sales. From 1985 to 1990, sales of compact discs in millions can be modeled by the formula f(x)=48.6(x-1985)+8.5, whereas sales of LP records in millions can be modeled by g(x)=-29.2(x-1985)+45.3. Approximate the year x when sales of LP records and compact discs were equal by using the intersection-of-graphs method. Each had equal sales in the year (Round to the nearest whole number as needed.)

f(x)=(25-x^2)/(sqrt(x+4))

Determine whether the following statements are true and give an explanation or counterexample. a. All polynomials are rational functions but not all rational functions are polynomials. b. If f is a linear polynomial, then f o f is a quadratic polynomial. c. If f and g are polynomials, then the degrees of f ∘ g and g ∘ f are equal. d. To graph g(x)=f(x+2), shift the graph of f two units to the right. b. Choose the correct answer below. A. The statement is true. Let f(x)=ax+b be a linear function where a and b are constants. Then f ∘ f=(ax+b)(ax+b)=a^2 x^2+2abx+b^2. B. The statement is true. The degree of the composition function f ∘ g is the sum or the degrees of the functions f and g. If both functions are linear, the sum of their degrees is 2. C. The statement is false. Let f(x)=x+2. Then f ∘ f=f(f(x))=(x+2)+2=x+4. This is a linear function.

The complement of a 51° angle is 39°

Los términos de una sucesión se generan con la expresión (an=n^2+4). Calcular la suma de los primeros seis términos de dicha sucesión. A) 118 B) 112 C) 115 D) 121

-> The graph of a function f is illustrated to the right. Use the graph of f as the first step toward graphing each of the following functions. (a) F(x) = f(x) + 4 (b) G(x) = f(x + 4) (c) P(x) = -f(x) (d) H(x) = f(x + 2) - 1 (e) Q(x) = 1/2 f(x) (f) g(x) = f(-x) (g) h(x) = f(2x) (e) Choose the correct graph of Q(x) = 1/2 f(x) below. A. B. C. D. (f) Choose the correct graph of g(x) = f(-x) below.

Find an equation of the line with the slope m=-6 that passes through the point (-2,-4). Write the equation in the form A x+B y=C. Choose the correct answer below. A. 6 x+y=-16 B. 6 x+y=16 C. 16 x+y=6 D. 16 x+y=-6

Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. Brandon discovered that his daily routine of buying a slice of pizza and a soda at lunch was costing him more than 16 per year. A. This statement does not make sense because this would mean that a slice of pizza and a soda costs him about 4 day. B. This statement does not make sense because this would mean that a slice of pizza and a soda costs him about 4 a day. C. This statement makes sense because this would mean that a slice of pizza and a soda costs him about 44 a day. D. This statement makes sense because this would mean that a slice of pizza and a soda costs him about 4 a day.

The diagram below includes similar quadrilaterals. Find the length of AB.

Si una circunferencia es tangente a los ejes de coordenadas en los puntos (0,-π) y (-π, 0), el centro de la circunferencia es A) (π, π) B) (π,-π) C) (-π,-π) D) (-π, π)

Explain how to find the range of a data set. What is an advantage of using the range as a measure of variation? What is a disadvantage Explain how to find the range of a data set. Choose the correct answer below. A. The range is found by subtracting the first data entry from the last data entry. B. The range is found by adding the first and last data entries. C. The range is found by adding the minimum and maximum data entries. D. The range is found by subtracting the minimum data entry from the maximum data entry.

Finding intercepts of a nonlinear function given its graph The graph of a function is given below. Give all y-intercepts and x-intercepts shown. If there is more than one answer, separate them with commas. Click on "None" if applicable. (a) y-intercept(s): (b) x-intercept(s):

For the function (f(x)=2^2 x-1) calculate the following function values: (f(3)=) (f(4)=)

(1/4 x)4 /(2/4 x)°

Where is the graph increasing and decreasing?

Find the value of the permutation. 3 P2 3 P2 = (Type a whole number.)

Solve the equation by factoring. 14 x^2 + 3 x - 2 = 0 Rewrite the equation in factored form. (7 x - 2)(2 x + 1) = 0 (Factor completely.) The solution set is (Use a comma to separate answers as needed. Type each solution)

Solve the system of linear equations by graphing. 6x - y = 9 1/3 y = -3 + 2x

Given (f(x)=4x+5) and (g(x)=x^2+7x). Find ((f circ g)(7)=)

Use logarithmic differentiation to find the derivative of the function. y = sqrt((x-3)/(x^6+1)) y' =

Plot the numbers -2 1/2 and 1 1/4 on the number line below.

Find the equation of the tangent line to the curve y=(3 ln (x)) / x at the points at the point (1,0) y= at the point (e, 3 / e) y=

What is the volume of a right circular cylinder with its base's radius of 15.4 and height of 19.1? Use π=3.14 as needed. Round to two decimal places as needed.

Christian wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side. The other three sides will be enclosed with wire fencing. If Christian has 750 feet of fencing, you can find the dimensions that maximize the area of the enclosure. a) Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn). Write an function for the area A of the enclosure in terms of w. A(w)= b) What width w would maximize the area? w= c) What is the maximum area? A= c) What is the feet

Describe what fixed costs and marginal costs mean to a company. Choose the correct answer below. A. Fixed cost is the constant for a particular product and does not change as more items are made. Marginal cost is the rate of change of cost C(x) at the level of production x and is equal to the slope of the cost function at x. B. Fixed cost is the rate of change of cost C(x) at the level of production x and is equal to the slope of the cost function at x. Marginal cost is the constant for a particular product and does not change as more items are made. C. The number of units at which revenue just equals cost is the fixed cost. Marginal cost is the constant for a particular product and does not change as more items are made. D. Fixed cost is the constant for a particular product and does not change as more items are made. The number of units at which revenue just equals cost is the marginal cost.

Selecting Cards The red face cards and the black cards numbered 4-9 are put into a bag. Two cards are drawn at random without replacement. Find the following probabilities. Use a TI-83 Plus/TI-84 Plus calculator and round the answers to at least six decimal places. At least 1 of the cards is red.

Find the horizontal asymptote, if it exists, of the rational function below. If the function does not have a horizontal asymptote, enter NONE. g(x) = (4-x)(-4+4 x) / (4 x^2 + 1) The horizontal asymptote has equation

A trucking company had its logo embroidered on the front of baseball caps. It was charged 8.90 per hat plus a one time set up fee of 25. If the project cost 559, how many hats were embroidered?

Question Given the relative frequency table below, which of the following is the corresponding cumulative relative frequency table? Value Relative Frequency 4 0.28 5 0.24 6 0.04 7 0.2 8 0.24

Find the perimeter of the quadrilateral in simplest form (9 sqrt(3)+2 sqrt(27)) in. (3 sqrt(12)+3 sqrt(3)+2 sqrt(27)) in 15 sqrt(3) in. 33 sqrt(3) in.

Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever appropriate, use the Rational Zeros Theorem, the Upper and Lower Bounds Theorem, Descartes' Rule of Signs, the Quadratic Formula, or other factoring techniques. (Enter your answers as comma-separated lists. Enter all answers including repetitions. If an answer does not exist, enter DNE.) P(x)=4x^4-21x^2+5 rational zeros x= irrational zeros x=

Solve for (y) in terms of (t). [ ln (y-43)=4 t ]

3(-2x+3)+3x+3=15

Find values of the trigonometric functions of the angle (in standard position) whose terminal side passes through the given point. (24,7) sin θ=7/25 cos θ=

Solve. 3x^3-x^2+27x-9=0 Write imaginary solutions in terms of i. If there are multiple solutions, separate the answers with commas. x=

Construct a relative frequency marginal distribution for the given contingency table. Round values to the nearest thousandth. x1 x2 x3 -------------------- y1 20 10 25 y2 60 35 45

Choose the property of real numbers that justifies the equation. m+2=2+m (Choose one) d * 0=0 -b+b=0 (Choose one) 7 *(8 * n)=(7-8) * n (Choose one)

Write the English sentence as an equation in two variables. Then graph the equation. The y-value is ten decreased by the square of the x-value. The sentence can be translated to the equation

If a coin is tossed 3 times, and then a standard six-sided die is rolled 2 times, and finally a group of four cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?

Find the special product. (2x-7)^2

Find the median

Find the real zeros of f. Use the real zeros to factor f. f(x)=4x^4+11x^2-3 The real zero(s) of f is/are x=-1/2, 1/2. Use the real zero(s) to factor f. f(x)=

Determine the amplitude of the function (y=9 sin x). Graph the function and (y=sin x). The amplitude is 9 (Simplify your answer.) Use the graphing tool to graph (y=9 sin x) and (y=sin x). Click to enlarge graph (For any answer boxes shown with the grapher, type an exact answer. Type the word pi to insert the symbol (pi) as needed.)

Calculate the predicted Y(Ŷ ) for each X value (put in table below). ( 3 pts ) X Y 2 0 5 1 6 4 6 5 3 6 MX=4 MY=3

Determine the equation of the line parallel to (y=2x+1) that goes through ((-5,3)). Sketch (y=2x+1) and the parallel line through ((-5,3)) found in part 1.

If a coin is tossed 4 times, and then a standard six-sided die is rolled 2 times, and finally a group of three cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?

Consider the following matrix [ 3 4 0 3 0 3 0 1 -2 ] (a) Find its determinant. (b) Does the matrix have an inverse?

While in a foreign country, David rented a car whose speedometer is calibrated in both miles and kilometers per hour. The marking on the speedometer shows 80 kilometers = 50 miles. How many miles does he still have to drive? He still has to drive miles.

Sketch a graph of y=-x^2-1

Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Randomly choosing a number from the odd numbers between 20 and 30 The sample space is . (Use a comma to separate answers as needed. Use ascending order.) There are outcome(s) in the sample space.

y=7x+9 Select the line that is parallel y=2x+9 y=-1/7 x+6 y=1/7 x-3 y=7x+7 y=x+1/7 y=3x+7

The entire graph of the function g is shown in the figure below. Write the domain and range of g using interval notation. (a) domain = (b) range =

Express the function in the form f ∘ g ∘ h if g(x)=2^x and h(x)=x^2. H(x)=1-2^(x^2) f(x)=

11 5/12 + 1/12

Auto pistons at Wenming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean x̄ (mm) Range R (mm) 1 154.9 4.2 2 155.2 4.8 3 153.6 4.3 4 153.5 4.8 5 154.6 4.3 a) What is the value of x̄̄? x̄̄=154.36 mm (round your response to two decimal places). b) What is the value of R̄? R̄=4.48 mm (round your response to two decimal places). c) What are the UCL− and LCL− using 3-sigma? Upper Control Limit (UCL−)=155.74 mm (round your response to two decimal places). Lower Control Limit (LCLx̄)=152.98 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)= square mm (round your response to two decimal places).

Events that are disjoint cannot occur at the same time. double-counted independent unusual disjoint

What is the multiplicative inverse of 1/100?

Determine the critical values for the confidence interval for the population variance from the given values. Round your answers to three decimal places. n=17 and c=0.8.

The function below has at least one rational zero. Use this fact to find all zeros of the function. f(x) = 2x^3 + 5x^2 + 5x + 3 If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.

Use the like bases property to solve the equation 2^x = 128 x = □

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

Use transformations to graph the function. Determine the domain, range, horizontal asymptote, and y-intercept of the function. f(x)=6^(x-2) Use the graphing tool to graph the function. (For any answer boxes shown with the grapher, type an exact answer.) What is the domain of f(x)=6^(x-2) ? (-∞, ∞) (Type your answer in interval notation.) What is the range of f(x)=6^(x-2) ? (0, ∞) (Type your answer in interval notation.) Determine the horizontal asymptote of f(x)=6^(x-2). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one horizontal asymptote, y=0. (Type an equation.) B. The function has two horizontal asymptotes. The top asymptote is and the bottom asymptote is (Type equations.) C. The function has no horizontal asymptotes. What is the y-intercept of f(x)=6^(x-2) ? (Type an integer or a simplified fraction.)

The GCF of 28 and 16 is Which expression uses the GCF and is equivalent to 28+16 ?

The derivative of (x^2 + 5)^7 with respect to x is 14x(x^2 + 5)^6.

6x^2 + 4x - 3 = 0

A survey of students at a university shows that 45% have a job. In a random sample of 700 students, find the mean and standard deviation for the number of students who have a job.

Find the number of outcomes in the complement of the given event. Out of 239 shoes in a department store, 164 are women's shoes.

What is the area between the curve g(x)=3 x^2+2 and the x-axis from x=-2 to x=0?

∫(2√t - t - 9/t^2) dt

Solve the compound inequality. 2x + 4 < -8 or 4x - 4 > -4 Graph the solution on the number line.

Similarly, what is the probability that the sum of the dots on the rolling of two dice is greater than or equal to 8? That is find P(x ≥ 8)? Do not simplify your fraction. Use the table below to help. x 2 3 4 5 6 7 8 9 10 11 12 p(x) 1/36 2/36 3/36 4/36 5/36 6/36 5/36 4/36 3/36 2/36 1/36

Consider the following function. g(x)=x^2+6 x+5

According to an almanac, 70% of adult smokers started smoking before turning 18 years old. (a) Compute the mean and standard deviation of the random variable X, the number of smokers who started before 18 in 400 trials of the probability experiment. (b) Interpret the mean. (c) Would it be unusual to observe 360 smokers who started smoking before turning 18 years old in a random sample of 400 adult smokers? Why? (a) mux=280 sigmax=9.2 (Round to the nearest tenth as needed.) (b) What is the correct interpretation of the mean? A. It is expected that in 50% of random samples of 400 adult smokers, 280 will have started smoking before turning 18. B. It is expected that in a random sample of 400 adult smokers, 280 will have started smoking before turning 18. C. It is expected that in a random sample of 400 adult smokers, 280 will have started smoking after turning 18.

Give the equation of the circle centered at the origin and passing through the point (0,4).

Calcular la integral indefinida. [ int fraca x^4-b x^3-c x^2x^5 d x ] A) a ln x+fracbx+fracc2 x^2+C B) a ln x+fracbx-fraccx^2+C C) a ln x-fracbx-fraccx^2+C D) a ln x-fracbx+fracc2 x^2+C

Find the value of (x) which satisfies the following equation. [ log 2(x-1)+log 2(x+5)=4 ]

Solve the equation. Express your answer in exact simplest form. sqrt[3]x-2-4=1 The solution set is.

Linear Equations and Inequalities Writing an inequality given a graph on the number line Write an inequality for the graph shown below. Use x for your variable.

In the figure shown, ABCD is a square, with each side of length 8 feet. The width of the border (shaded portion) between the outer square EFGH and ABCD is 3 feet. Find the area of the border

Solve the right triangle with a=1.26 and b=17.5. Round off the results according to the table below Measurements of Angle to Nearest Accuracy of Trigonometric Function ------ 1° 2 significant digits 0.1° 3 significant digits 0.01° 4 significant digits Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. C= A= B=

Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. √0.0004= □ (Simplify your answer.) B. It is not possible to find √0.0004.

5x^3 - 27x^2 - 17x - 6 = 0

(a) Find the slope of the line through (-5,1) and (7,-3). (b) Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical. (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope of the line is (Type an integer or a simplified fraction.) B. The slope is undefined.

Assume that when human resource managers are randomly selected, 61% say job applicants should follow up within two weeks. If 30 human resource managers are randomly selected, find the probability that exactly 22 of them say job applicants should follow up within two weeks.

Assignment: 5.5 Sets Score: 3 / 8 Answered: 3 / 8 Question 4 Let S be the universal set, where: S=1,2,3, ..., 18,19,20 Let sets A and B be subsets of S, where: Set A=2,5,6,8,10,12,13,16,19,20 Set B=1,2,5,7,9,10,12,14,15,16,19,20 Find the following: LIST the elements in the set ( A ∩ Bc ): (A ∩ Bc)= Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set ( B ∩ Ac ): (B ∩ Ac)= Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE You may want to draw a Venn Diagram to help answer this question.

Graph the inequality below on the number line. a ≥ -1

Find the indefinite integral and check the result by differentiation. (Remember the constant of integration.) ∫(7+8/t)^3(8/t^2) dt

Factor the following trinomial. x² + 16x + 64 ([]x + [])² Enter

Without graphing, find the x - and y-intercepts for f(x). f(x)=x^2-8x+2 Select the correct choice below and fill in any answer boxes in your choice. A. There is no x-intercept. B. The x-intercept(s) are (Type an integer or decimal rounded to the nearest tenth as needed. Use a comma to separate answers as needed.) A. The y-intercept(s) are . (Type an integer or decimal rounded to the nearest tenth as needed. Use a comma to separate answers as needed.) B. There is no y-intercept.

Find the sum: 1/6 + √6 =

Andrew and Maria each collected six rocks, and the masses of the rocks are shown in the table above. The mean of the masses of the rocks Maria collected is 0.1 kilogram greater than the mean of the masses of the rocks Andrew collected. What is the value of x?

Calcular la integral indefinida. [ int fracx-5sqrtx dx ]

Evaluate the expression. log16 17 ≈ (Type an integer or a decimal. Do not round until the final answer. Then round to four decimal places as needed.)

Find the variation constant and an equation of variation where y varies directly as x and y=5 when x=32. The variation constant is 5/32 (Type an integer or a fraction.) The equation of variation is y=5.

The claim is that weights (grams) of quarters made after 1964 have a mean equal to 5.670 g as required by mint specifications. The sample size is n=38 and the test statistic is t=-2.446. Use technology to find the P-value. Based on the result, what is the final conclusion? Use a significance level of 0.01. State the null and alternative hypotheses. H0: μ=5.670 H1: μ ≠ 5.670 The test statistic is -2.45. The P -value is

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