Math Homework Questions & Answers Archive

Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1. 9^u=a

Given that f(x)=x^2-11 and g(x)=3x+1, find (f-g)(-3), if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (f-g)(-3)= □ (Simplify your answer.) B. The value for (f-g)(-3) does not exist.

Find the slope-intercept form of the equation of the line with the given properties. Slope = 2; containing the point (-3,-4) A. y = -2x + 2 B. y = 2x + 2 C. y = 2x - 2 D. y = -2x - 2

Texarkana Electric Company burns coal to heat the water that drives its electricity-producing turbines. The table below shows the marginal benefit of annual electricity consumption and the private marginal cost of annual electricity production. Marginal Cost and Marginal Benefit Quantity (millions of megawatts) MBprivate MCprivate MC external MC social --------------- 0.5 145 85 20 105 1.0 130 90 20 110 1.5 115 95 20 115 2.0 100 100 20 120 2.5 85 105 20 125 3.0 60 110 20 130 Instructions: In parts a and b, enter your answers as a whole number. In part c, round your answer to one decimal place. a. What is "private quantity" of electricity Texarkana Electric Company will produce each year? million megawatts per year Now assume the production of electricity also produces sulfur dioxide (a precursor to acid rain). The external cost of the sulfur dioxide increases by 20 for each 0.5 million megawatts produced. b. Fill in the external marginal cost (MC external) and the social marginal cost (MC social) columns in the table above. c. What is the socially optimal amount of electricity for Texarkana to produce if all costs and benefits are considered? million megawatts per year

Module 2 Lesson 4; Discounts Summer Sports is having a sale. A volleyball has an original price of 59. It is on sale for 65% off the original price. What is the sale price of the volleyball?

Round the number to the given place value. In the past year, a company spent 793,749,766 on advertising. Round the advertising figure to the nearest hundred thousand. A) 800,000,000 B) 793,700,000 C) 700,000,000 D) 793,800,000

Which expression is equivalent to tan(x-π)? (tan(x)-tan(π))/(1-(tan(x))(tan(π))) (tan(x)-tan(π))/(1+(tan(x))(tan(π))) (tan(x)+tan(π))/(1-(tan(x))(tan(π))) (tan(x)+tan(π))/(1+(tan(x))(tan(π)))

Fourteen gallons of a salt solution consists of 35% salt. It is the result of mixing a 65% solution with a 30% solution. How many gallons of each of the solutions was used? Let x= the number of gallons of the 65% solution and y= the number of gallons of the 30% solution. The corresponding modeling system is x+y=14, 0.65x+0.3y=0.35(14). Solve the system by using the method of substitution.

Convert the radian measure to degrees. Round to the nearest hundredth if necessary. 20/9 π

Find the quotient and simplify. (r^2-s^2)/(r+s) ÷ r/(r^2+sr) = □ (Simplify your answer.)

Unit Exam - Tools of Geometry Find the area. Area of Figure = □ in^2

The period of the tangent function is . (Type an exact answer, using π as needed.)

(a) Which function's graph is the least steep? Function 1 Function 2 Function 3 Function 4 (b) Which functions have graphs with slopes less than -2? (Check all that apply.) function 1 function 2 function 3 function 4 (c) Which function has the graph with the greatest y-intercept? Function 1 Function 2 Function 3 Function 4

Consider the following 3 expressions. To be the same, what would P, Q, and R have to be? P x^2 + 6 x + 1 x^2 + x(x + Q) + 1 3 x^2 - 5 - (x^2 - 6 x + R/2) P= Q= R=

2x^2+16x+1=0

The profit of a dog toy company x years after 2006 can be modeled as p(x) = 4.222x^2 - 1.829x - 8.969 hundred dollars. Calculator Checkpoint: p(5) = 87.436 a. Numerically estimate the rate of change of the profit in 2008. (Round your answer to three decimal places.) hundred dollars per year b. What is the percentage rate of change of profit in 2008? (Round your answer to three decimal places.) % per year c. Is business getting better or worse for the dog toy company in 2008? In 2008, the profit is and the profit is so business is

Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type your answer in interval notation.) B. The solution set is ∅. Choose the correct graph of the solution set. A. B. C. D. E. F

The range and parity (even or odd) for the history of a die's rolls are related. Find the probability of selecting a roll that was in the upper half and was even.

Divide x^3 + x^2 - 5x - 2 by x - 2

Let f(x)=(x-6)^2 Find a domain on which f is one-to-one and non-decreasing. [6, ∞) Find the inverse of f restricted to this domain f^(-1)(x)=

Solve for x: (x^2+6x+9)/(x+3)=0. Separate multiple answers with a comma and write DNE if there is no real answer.

Suppose that the function h is defined on the interval (-2.5,1.5) as follows. h(x) = -2 if -2.5 < x ≤ -1.5 -1 if -1.5 < x ≤ -0.5 0 if -0.5 < x < 0.5 1 if 0.5 ≤ x < 1.5 Find h(-1.5), h(-0.9), and h(0.5). h(-1.5)= h(-0.9)= h(0.5)=

Factor out the greatest common factor from the following polynomial. 12 b^3 + 4 b^2 + 1

The integral in this exercise converges. Evaluate the integral without using ∫ from -∞ to -4 θ e^θ d θ ∫ from -∞ to -4 θ e^θ d θ = (Type an exact answer.)

Graph the solution set to the follow system of inequalities by drawing a polygon around the solution region. Click to set the corner points. 2x+5y ≤ 40 6x+5y ≤ 60 x ≥ 0 y ≥ 0

Marley makes 3 1/3 cups of smoothies and divides it between containers that hold 5/6 cups. How many containers does she fill?

Find a polynomial function f(x) with the given degree, zeros, and leading coefficient: Degree 4, x=-3, multiplicity of 2; x=1 multiplicity of 1; x=3, multiplicity of 1 and a leading coefficient of 1. a) The factored form is: b) Find the polynomial equation in standard form. f(x)=

Gerald mixes 2/3 cup whole wheat flour and 1/2 cup buckwheat flour to make 4 pancakes. How much of each type of flour is needed to make 1 pancake? 1/6 cup whole wheat, 1/8 cup buckwheat 1/12 cup whole wheat, 1/4 cup buckwheat 1/6 cup whole wheat, 1/4 cup buckwheat 1/12 cup whole wheat, 2 cups buckwheat

lim as x approaches 3 of (x-3)/(x^2-4x+3) =

Simplify the expression (x^2+3x-4)/(3x^2-48) (x^3-49x)/(x^2+6x-7)

Write each mixed number as a common fraction. 1 3/8 = Rewrite both fractions so the denominators are the same. 2/6 = 1/2 = 9/6 =

[ int frac36 d ww^2 sqrt9-w^2 ]

Joel assumes that the average predicted high in Destin will be 10° warmer than the average predicted high in Kingsport for Sunday through Thursday. In the table below, predicted daily high temperatures are indicated with H, while predicted daily low temperatures are indicated with L. - Sunday - Kingsport, TN: H:68, L: 40 - Destin, FL: H:84, L: 65 - Monday - Kingsport, TN: H: 72, L: 41 - Destin, FL: H:82, L:60 - Tuesday - Kingsport, TN: H: 73, L: 45 - Destin, FL: H: 78, L: 64 - Wednesday - Kingsport, TN: H: 75, L: 48 - Destin, FL: H:80, L:66 If the predicted high in Kingsport is 72° on Thursday, what would Thursday's predicted high for Destin need to be for Joel's assumption to be correct?

Write the following improper fraction as a whole or mixed number. 5/4 5/4 = (Type an integer, proper fraction, or mixed number.)

Rewrite the expression by factoring out (w-6). 7w(w-6)+(w-6)

You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 540 cm^3. The cost of the material for the base is 0.90 per square centimeter and the cost of the material for the sides is 0.10 per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing. What is the minimum cost? Give your answer in dollars, rounded to the nearest cent.

Si 2a+3b=5 y a-2b=8, determinar el siguiente límite: lim(x -> a) (-3+x^2-x)/(2-x) (A) -1231/57 (B) -1231/27 (C) -1058/33 (D) -1119/32

Classes Frequency 50-57 3 58-65 5 60-73 4 74-81 3 82 - 89 25 5 15

Evaluate the following integral. [ int fracx^2(x-5)^3 d x ]

A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions: 0, 1, 2, 3 Households: 24, 445, 728, 1405 (a) Use the frequency distribution to construct a probability distribution. x P(x) 0 1 2 3 (Round to three decimal places as needed.) (b) Graph the probability distribution using a histogram. Choose the correct graph of the distribution below. A. B. C. Describe the histogram's shape. Choose the correct answer below. - skewed left - symmetric

∑(k=1 to ∞) k^2 / e^k

Experiment A deck contains 10 cards numbered 1 through 10. A card is randomly selected and returned, then another random selection is made. Charlie randomly selects a sock from a drawer containing black socks and brown socks, and puts it on. Then another random selection is made from the remaining socks. A family has two children. Event A: The first selection is a 6. Event B: The second selection is a 5. Event A: The first selection is black. Event B: The second selection is brown. Event A: The older child has red hair. Event B: Both children have red hair. Independent Dependent

Find the logarithm. log4(1/64)=

The equation of a line is given below. -3 x+2 y=-2 Find the slope and the y-intercept. Then use them to graph the line. slope: y-intercept:

The Teacher's Pets team has 50 points in Math Fever. They miss a question worth 200 points. Write a number sentence and then find their new score. Draw a number line showing the situation.

There are 54 students in a class. The Venn diagram below shows how many students play a sport, take a foreign language, do both, or do neither. Complete the following two-way frequency table.

Events that have no sample space outcomes in common, and therefore cannot occur simultaneously, are A. Independent B. Mutually exclusive C. Intersections D. Unions

Question 17, 3.4.37 Graph the linear equation using the slope and y-intercept. y = -(7/3) x Use the graphing tool to graph the equation. Plot the y-intercept and then plot second point using the rise over run of the slope, starting at the y-intercept.

Suppose Grant is going to build a playlist that contains 13 songs. In how many ways can Grant arrange the 13 songs on the playlist?

Suppose that the functions (f) and (g) are defined for all real numbers (x) as follows. (f(x)=x-5) (g(x)=4x-6) Write the expressions for ((f-g)(x)) and ((f cdot g)(x)) and evaluate ((f+g)(1)). ((f-g)(x) =-3x+1) ((f cdot g)(x) =4x^2-26x+30) ((f+g)(1) =-6)

Consider the algebraic expression sqrt(7) x^19 + 13.7 x^14 + (pi/2) x^7 + 1/8. What is the degree of this polynomial? Identify the constant term. Identify the leading coefficient. Identify the leading term.

According to one study, the average shoe size of males are normally distributed with mean 10.5 and standard deviation 1.36. Sometimes if you have a really small or large foot, it can be hard to find shoes. a. What shoe size would put you in the lowest 5% of shoe sizes for males? Show some work. Round to 2 decimal places. b. Find the probability that a male had a shoe size that is 14.5 or larger. Show some work. Round answer to 4 decimal places.

How does the graph of f(x) = 1/2(3)^(x+2) - 1 relate to its parent function? A. The parent function has been stretched. B. The parent function has been translated to the left. C. The parent function has been compressed. D. The parent function has been translated down.

Two variables are said to display correlation if - both measure the same thing. - one occurs before the other. - they are caused by the same factor. - they vary together.

Find the x-and y-intercepts. 6x-9y=18 x-intercept (x, y)=( ) y-intercept (x, y)=( ) Use the intercepts to graph the equation.

Here are the shopping times (in minutes) for each of fifteen shoppers at a local grocery store. Shopping times (In minutes) 28 33 37 26 24 21 29 22 30 18 19 29 31 29 23 Send data to calculator (a) Complete the grouped frequency distribution for the data. (Note that the class width is 5.) Shopping times (in minutes) Frequency 17.5 to 22.5 22.5 to 27.5 27.5 to 32.5 32.5 to 37.5 (b) Using the classes from part (a), draw the frequency polygon for the data. Note that you can add or remove classes from the figure. Label each class with its midpoint.

Find the Area of the shaded rectangular region.

Instructions: Identify the vertical horizontal asymptotes of each rational function. x=1 1. f(x) = 2x / (x-1) x-1=0 y = 2 / 1 = 2 3. f(x) = (x^2 - 4x + 3) / (4x + 4) 5. f(x) = 3 / (x^2 + x - 2) vertical asymptote x=1 2. f(x) = -3 S^(-2) / (x+2) 4. f(x) = -3 / (x^2 - 2x - 3) 6. f(x) = (2x + 2) / (x - 3)

Graph the linear equation by finding and plotting its intercepts. -3=2x-y Use the graphing tool to graph the linear equation. Use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line.

In a study of 420 nonprofits nationwide, 88 indicated that turnover has been the biggest employment challenge at their organization. Complete parts (a) through (c). a. Construct a 95% confidence interval for the population proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization. ≤ π ≤ (Type integers or decimals. Round to three decimal places as needed.) b. Interpret the interval constructed in part (a). Choose the correct answer below. A. With 95% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the sample is in this interval. B. With 5% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the sample is in this interval. C. With 95% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the population is in this interval. D. With 5% confidence, the proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization in the population is in this interval. C. If you wanted to conduct a follow-up study to estimate the population proportion of nonprofits that indicate turnover as the biggest employment challenge at their organization to within ± 0.02 with 95% confidence, how many nonprofits would you survey? A sample of nonprofits should be surveyed. (Round up to the nearest integer.)

Santiago swims several times per week in a lake near his home. Last summer, the lake's average water temperature was 20°C. This summer, the average water temperature was 7.7% warmer. What was the average temperature of the lake this summer? Round your answer to the nearest tenth. °C

Find the average rate of change of f(x)=-2x^2-3x from x=2 to x=5. Simplify your answer as much as possible.

For the following time series, you are given the moving average forecast. Time Period Time Series Value Moving Average Forecast --------- 1 23 2 17 3 17 4 26 19 5 11 20 6 23 18 7 17 20 The mean squared error equals a. 164 b. 0 c. 41 d. 6

The workers' union at a particular university is quite strong. About 94% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview 4 workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly 3 of the workers interviewed are union members? Round your response to at least three decimal places.

Solve for (c). [ frac23=frac7c-4 ] Simplify your answer as much as possible. [ c= ]

Find the area of the circle with the given radius. r=45.7 yd The area is □ yd^2 (Type your answer using the appropriate number of significant digits.)

Find all solutions to the equation (4 tan ^3(x)-4 tan (x)=0) over the interval (0, pi)). A) (x=0, x=fracpi4) B) (x=0, x=fracpi4, x=frac3 pi4) C) (x=0, x=fracpi4, x=frac5 pi4) D) (x=0, x=fracpi4, x=frac-pi4) E) (x=0, x=fracpi4, x=fracpi2) F) None of the above

In a city that applies 6.5% sales tax, what is the total amount of money a person will pay for a bag of candy? Product, Cost per Item, Subject to Sales Tax? Bag of Candy, 8.00, Yes Loaf of Bread, 5.00, No Round to the nearest cent.

There is at least one value of p such that the integral from 0 to infinity of 1/x^p dx is convergent.

Assume that the readings on the thermometers are normally distributed with a mean of 0°C and standard deviation of 1.00°C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to P88, the 88th percentile. This is the temperature reading separating the bottom 88% from the top 12%. Which graph represents P88? Choose the correct graph below. A. B. C. D. The temperature for P88 is approximately °C. (Round to two decimal places as needed.)

Help aline Live Cameron Terry 10/17/24 6:47 PM Question 28, 6.3.15 HW Score: 21.15%, 5.5 of 26 Part 1 of 3 Points: 0 of 1 Save When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is 1/2, the probability of having a girl is 1/2, and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion. Sample proportion of girls Probability V □ ▽ □ V □ (Type integers or simplified fractions.)

A binomial experiment has the given number of trials n and the given success probability p. n=20, p=0.9 (a) Determine the probability P (More than 18 ). Round the answer to at least three decimal places. P( More than 18)=

of the line shown on the graph in slope 5.

A common design requirement is that an environment must fit the range of people who fall between the 5th percentile for women and the 95th percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are normally distributed with a mean of 21.3 in. and a standard deviation of 1.3 in. Females have sitting knee heights that are normally distributed with a mean of 19.4 in. and a standard deviation of 1.2 in. Use this information to answer the following questions. What is the minimum table clearance required to satisfy the requirement of fitting 95% of men? in. (Round to one decimal place as needed.) Determine if the following statement is true or false. If there is clearance for 95% of males, there will certainly be clearance for all women in the bottom 5%. A. The statement is false because some women will have sitting knee heights that are outliers. B. The statement is false because the 95th percentile for men is greater than the 5th percentile for women. C. The statement is true because some women will have sitting knee heights that are outliers. D. The statement is true because the 95th percentile for men is greater than the 5th percentile for women. The author is writing this exercise at a table with a clearance of 23.7 in. above the floor. What percentage of men fit this table? % (Round to two decimal places as needed.) What percentage of women fit this table?

What is the value of the t score for a 99.8% confidence interval if we take a sample of size 5?

Solve the equation. First simplify the expression by combining like terms. 4/11 x + 4/3 = 3/2 - 7/11 x + 3/2

Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler terms to differentiate. y=(7 x^2+5)(x+4+5/x) a. Apply the Product Rule. Let u=(7 x^2+5) and v=(x+4+5/x). d/dx(u v)=(7 x^2+5)(1-5/x^2)+(x+4+5/x)(14 x) b. Multiply the factors of the original expression, u and v, to produce a sum of simpler terms. y=

Math 1200 - Fall 2024 Exam 1 Extra Credit - 52 points Please show all of your work. Do not just write the answers. Explain how you found your answers. Go to https://dcmpdatatools.utdanacenter.org/edaquantitative/ In the Choose Dataset menu, select Youth Unemployment Rate in EU. You should get the descriptive statistics and histogram as shown below. This data set contains the youth unemployment rates in European Union countries from 2023. For example, in one country, the youth unemployment rate was 14.2%. 1. Describe the center, shape, and spread of the distribution. (15 points) 2. Which measure of center, mean or median, best describes the typical data value in the distribution? Why? (5 points) 3. Interpret the IQR. What does this tell you about the distribution? (4 points) 4. Discuss the presence of outliers in the distribution. Use the IQR Rule to justify whether the distribution has outliers. Show the calculation of the lower fence and upper fence for outliers. (10 points) 5. Interpret the standard deviation of the distribution. What does this tell you about the variation in the distribution? (4 points) 6. Based on the Empirical Rule: (10 points) (a) What interval captures the middle 68% of values in the distribution? (b) What interval captures the middle 95% of values in the distribution? (f) What interval captures the middle 99.7% of values in the distribution?

Find the zeros for the polynomial function and give the multiplicity for the x -axis or touches the x -axis and turns around at each zero. f(x)=-2(x-5)(x+6)^3 Determine the zero(s). The zero(s) is/are

If h(x)=u(x)^v(x), then d/dx h(x)=u(x)^v(x)[v(x) u'(x)/u(x)+(ln(u(x)) v'(x))]. Use the above definition to find the derivative of the following function. h(x)=(x^2+4)^(2x) d/dx h(x)=□

Find the inverse function for f(x)=(-3x+4)/(1-4x) f^(-1)(x)=

Find the exact value or state that it is undefined. In the latter case, enter "DNE". tan(tan^(-1)(1))

If f(x)=(7x+4)^3/(9x+2), what is f'(x)?

Convert the exponential equations into logarithmic form logb C=D : (a) 4^3=64 is equivalent to log4 3= (b) 36=6^2 is equivalent to log6 2= (c) 10^5=100000 is equivalent to log 5= (d) 0.001=10^-3 is equivalent to log =

Question 15 Identify the function's local and absolute extreme values, if any, saying where they occur. h(x) = (x-1)/(x^2+3x+5) no local extrema local minimum at x=-3; local maximum at x=4 local minimum at x=-2 ; no local maxima local minimum at x=-2; local maximum at x=4

Factor the following polynomial completely using the greatest common factor. If the expression cannot be factored, enter the expression as is. 64 s^7 t-40 s^5 t^3

14!/(14-1)!14! × .79^1 × .21^(14-1)

Use the method of substitution to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form. -4x + 4y = 20 2x = -42

Homework Question 5, 5.2.17 HW Score: 40%, 4 of 10 points Part 1 of 2 Points: 0 of 1 Save Use the normal distribution of SAT critical reading scores for which the mean is 515 and the standard deviation is 121. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 675? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? Click to view page 1 of the standard normal table. Click to view page 2 of the standard normal table. (a) Approximately % of the SAT verbal scores are less than 675 (Round to two decimal places as needed.)

XN. 23.5 V= mV a. .0000235 b. .235 c. .0235 d. 235 e. 1.123 d. 11,230 - 235 e. 23,500

Which is an example of an investment in physical capital? Maria saves 1 million for retirement. The government builds a new highway to downtown. Starbucks reimburses its employees for college tuition expenses. You buy stock in Microsoft.

The distribution of heights of adult men in the U.S. is approximately Normal with mean 69 inches and standard deviation 2.5 inches. Use what you know about a Normal distribution and the 68-95-99.7 rule to answer the following. (a) About what percent of men are between 64 and 66.5 inches? (b) About what percent of men are shorter than 66.5 inches? (c) About what percent of men are taller than 74 inches?

Write a sentence that explains the answer to part (a) in the context of the problem. We found the P-intercept to be (n, P)=(0,-1,600). Analyze each part of the intercept in the context of the problem. n=0 corresponds to selling smartwatches. Since the value of the profit P is negative, the company will endure a - Select- v. Therefore, P=-1,600 means that the company lost . Therefore, if the company sells smartwatches, it will lose .

Question 9 (10 points) Find the equation of the tangent and the normal line to the curve (x^2 y^2-2 x+9 y=20) at the point ((1,2)). Show your work and attach it.

How many natural numbers less than 200 are divisible by 4, but not divisible by 3?

The function f(x)=(2x+1)/(x-5) is one-to-one. a. Find an equation for f^(-1)(x), the inverse function. b. Verify that your equation is correct by showing that f(f^(-1)(x))=x and f^(-1)(f(x))=, a. Select the correct choice below and fill in the answer box(es) to complete your choice (Simplify your answers. Use integers or fractions for any numbers in the expression.) A. f^(-1)(x)= , for x ≠ B. f^(-1)(x)= , for all x C. f^(-1)(x)= , for x ≤ D. f^(-1)(x)= , for x ≥

Homework 6 - Chapter 6 Question 8 of 14 (1 point) I Question Attempt: 1 of Unlimited Consider choosing a marble like sampling from a population. (The population mean of the number of push-ups is μ=7.67 and the population standard deviation is σ=0.47.) (a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One marble is randomly chosen, the number of push-ups is completed, and the marble is put back into the bag. Then for a second time a marble is randomly chosen and the number of push-ups is completed. There are 9 possible samples. The numbers of push-ups for several of the possible samples have been listed in the table below. Enter the numbers of push-ups for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x̄ " column, you will then see the sample mean of the numbers of push-ups for each sample, along with the mean and standard deviation of all the column's values. Index Sample Numbers of push-ups Sample mean, x̄ 1 blue, blue 7,7 2 blue, red 7,8 3 blue, green 7,8 4 red, blue 8,7 5 red, red 8,8 6 red, green 8,8 7 green, blue , 8 green, red ,

Evaluate the expression. 31 ÷ (7.6 - -1 2/5) · (-7)^2 - 9 2/5 31 ÷ (7.6 - -1 2/5) · (-7)^2 - 9 2/5 = (Type an integer or a decimal.)

Suppose a special 35-sided die is rolled once where each face is marked with a number 1 through 35. What is the probability that the die lands on a 4 or a 13?

The total profit P(x) in thousands of dollars from the sale of x hundred thousand aluminium tires is approximated by P(x) = -x^2 + 156x + 724 - 400. x ≥ 5. Find the maximum profit.

78% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below. Find the mean of the binomial distribution. μ=4.7 (Round to the nearest tenth as needed.) Find the variance of the binomial distribution. σ^2=1.0 (Round to the nearest tenth as needed.) Find the standard deviation of the binomial distribution. σ= (Round to the nearest tenth as needed.)

Use graph coloring to find the smallest number of colors needed to color the map so that no regions sharing a common border are the same color. The smallest number of colors needed to color the map so that no regions sharing a common border are the same color is

A right triangle has a hypotenuse of length 2 inches. If one angle is 32 degrees, find the length of each leg. The length of the shorter leg is square inches, and the longer leg is square inches. (Do not round until the final answer. Then round to the nearest tenth as needed.)

Find the slope of the line between the two points. (If an answer is undefined, enter UNDEFINED.) (5,9); (-1,9)

Find f ∘ g and g ∘ f. f(x) = sqrt(x+1), g(x) = x^2 (a) f ∘ g (b) g ∘ f

Suppose that a particular candidate for public office is favored by 48% of all registered voters in the district. A polling organization will take a random sample of 500 of these voters and will use p̂, the sample proportion, to estimate p. a. Calculate σp̂, the standard deviation of p̂. σp̂=0.48 b. If for a different sample size, σp̂=0.071, would you expect more or less sample-to-sample variability in the sample proportions than when n=500 ? c. Is the sample size that resulted in σp̂=0.071 larger than 500 or smaller than 500 ? Explain your reasoning.

State the excluded value for the rational equation. [ frac42 x-1=frac53 x+2 ] Select one: A. (x=-frac23, frac12) B. (x=-frac12, frac23) C. (x=-frac23) D. (x=frac12)

Construct a truth table for the statement. [ -p rightarrow(q wedge r) ] Fill in the blanks for the missing values in the table. p q r -p q^ r -p rightarrow(q wedge r) ------------------ T T T V v v T T F v v v T F T v checkmark v T F F 7 v v F T T v v 7 F T F v checkmark nabla F F T v nabla v F F F checkmark v 7

Divide and simplify. 49 x^4 / 7 x^5 ÷ 7 x^5 / 3 x^6 The simplified quotient is.

Suppose that the function f is defined, for all real numbers as follows: f(x) = - 3x + 1 if x < -2 - x - 3 if x ≥ -2 Graph the function f. Then determine whether or not the

The average home price in Massachusetts is 410,000, with a standard deviation of 65,000. A city planner is studying the distribution across the state of home prices in the bottom 10%. Use a calculator to find the price that will indicate that a home is in the bottom 10% if the city planner examines 200 homes around the state. Round σₓ̄ and x̄ to two decimal places. Provide your answer below: σₓ̄= x̄=

The graph above is of g(x) obtained from transforming f(x)=x^2. Find g(x).

Find the derivative of f(x) = 4^x(5x^3 + 4/x^2)

Write an equation in slope-intercept form for the line parallel to y=1/2 x+5/2 containing (3/2, 1). Write an equation in slope-intercept form for the line parallel to y=8 x+11 containing (9,5). The line containing (3,5) and (-1,-3) is perpendicular to the line containing (2,5) and (m, 7). What is the value of m that satisfies this condition?

Complete the process of solving the equation. Fill in all missing terms and select all missing descriptions. Simpl

Perform the operation indicated. Simplify. (x+2y)/(24x^2) * (3x)/(x^2+xy-2y^2) 1/(8x(x-y)) 8x(x-y) 8x/(x-y) 1/(8x(x+y))

Multiply. Write the answer in lowest terms. [ frac(a+b)^25 cdot frac603(a+b)= ]

O volume de um sólido de revolução gerado pela rotação de uma função em torno do eixo das ordenadas será calculado de maneira análoga ao volume gerado pela rotação em torno do eixo das abscissas. No primeiro caso, usamos: V = ∫(a)^(b) π(f(x))² dx No segundo caso, se y = f(x), precisamos em primeiro lugar encontrar x = g(y), e com isso adaptar a expressão para o cálculo do volume para essa função. Assumindo os conteúdos da unidade e o texto base, calcule o volume do sólido de revolução gerado pela rotação da função x = y, no intervalo 0 < y < 4, em torno do eixo das ordenadas e assinale a alternativa que expressa esse resultado. Alternativas: a) V = 32 π unidades de volume b) V = 16π/3 unidades de volume c) V = 8 π unidades de volume d) V = 16 π unidades de volume e) V = 64π/3 unidades de volume

n(v)=-x^2+5x+1

The standard normal probability distribution has a mean of 0 and a standard deviation of 1

Graph the linear function using the slope and (y)-intercept. [y=4/3 x-3] Use the graphing tool to graph the linear equation. Use the slope and the (y)-intercept when drawing the line. Click to enlarge graph

For spring semester 2009, a college charged 20 per unit (credit or hour) for tuition. All students paid a 1 student representation fee each semester. Students who drove to school paid a 50 parking fee each semester. Let T be the total one-semester cost (in dollars) of tuition and fees for a student who drove to school and took u units of classes. Answer parts (a), (b), and (c). a. Find an equation for u and T. [Hint: If there is trouble finding the equation, try creating a table of values for u and T.] The equation that describes the relationship between T and u is T = (Simplify your answer. Type an expression using u as the variable.)

Graph the feasible region for the following system of inequalities by drawing a polygon around the feasible region. Click to set the corner points. x+y ≤ 11, -x+y ≤ 3, y ≥ 4.

For the given pair of equations, give the slopes of the lines, and then determine whether the two lines are parallel, perpendicular, or neither. 8 x-6 y=4 8 x+12 y=-1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope of 8 x-6 y=4 is In. (Type an integer or a simplified fraction.) B. The slope of 8 x-6 y=4 is undefined.

f(x)=sqrt[3]2 x g(x)=3 x+1 Find (f/g)(x). Include any restrictions on the domain. A. (f/g)(x)=(3 x+1)/sqrt[3]2 x, x ≠ 0 B. (f/g)(x)=(3 x+1)/sqrt[3]2 x, x ≥ 0 C. (f/g)(x)=sqrt[3]2 x/(3 x+1), x ≠ -3 D. (f/g)(x)=sqrt[3]2 x/(3 x+1), x ≠ -1/3

Records indicate that the mean weight of mature chinook salmon is 33.4 kg. After years of major overfishing, biologists estimate that the current mean weight of mature chinook salmon is 14.1 kg. Assume the current weights follow a normal distribution with a standard deviation of 0.3 kg. To test whether the population mean has changed, a random sample of 10 mature chinook salmon will be selected and their weights will be measured. (a) State the null and alternative hypotheses. (b) Find the critical value(s). (c) Perform a hypothesis test. Use α = 0.05. The value of the test statistic is given by z = (x̄ - μ0) / (σ/sqrt(n)) where x̄ is the sample mean and μ0 is the hypothesized population mean.

Price, Quantity Demanded, Quantity Supplied 1 or less, 4, 0 1 to 4, 3, 1 4 to 7, 2, 2 7 to 9, 1, 3 More than 9, 0, 4 Use Eric's supply schedule and Bob's demand schedule to find the quantity supplied and quantity demanded at prices of 2, 5, and 8.

Simple Interest Eddy invests 10,792.39 in a savings certificate that gauntness 7% interest per year. How much Eddy have made in interest (do not include the original investment) after 22years? Round to two decimal places. This is but do not include the sign in your answer.

A grocery store sells for 181,000 and a 25% down payment is made. A 40-year mortgage at 5% is obtained. Compute an amortization schedule for the first 3 months. Round your answers to two decimal places, if necessary. The value of the mortgage is 135,750 and the monthly payment is 654.32. Part: 0 / 3 Part 1 of 3 Payment number Interest Payment on Principal Balance of Loan 1

The Lambert function, W(x), is implicitly defined by the following equation: W(x) e^(W(x))=x Use implicit differentiation to find a formula for d/dx W(x). [Note: W(x) can be written as W ] W'= [There should not be any " x " terms in the answer.] Show that W'(x)=1/(e^W+x).

To make fudge-like brownies, a person bakes a brownie mix for 9 minutes less than the baking time suggested on the box. Let r be the suggested baking time (in minutes) and a be the actual baking time (in minutes). Complete parts (a) through (d). a. Find an equation that describes the relationship between r and a Assume that a is the dependent variable. [Hint: Find the equation by creating a table of values for r and a] An equation that describes the relationship between r and a is a = r - 9 (Type an expression using r as the variable.) b. Perform a unit analysis of the equation found in part (a) Choose the correct answer below O. In the equation, the units on both sides are not the same so the equation is correct O B. In the equation, the units on both sides are the same so the equation is correct.

Reduce the rational expression to lowest terms. 5q^2 + 45q + 100 / 25q^2 - 25q - 500 5q^2 + 45q + 100 / 25q^2 - 25q - 500 =

Week 3 Homework Question 16 of 60 (1 point) I Question Attempt 1 of Unlimited Write the percent proportion. 20% of 60 pictures is 12 pictures. The percent proportion is .

For f(x)=4/(x+8) and g(x)=3/x, find a. (f ∘ g)(x); b. the domain of f ∘ g

Divide. (3c^3 - 26c - 9) ÷ (c - 3) = with remainder

Use the quotient rule to divide. Then simplify if possible. (3 √[4]162) / (√[4]2)

Solve the equation using the quadratic formula. 2 x(x-3)=7 x+7 The solution set is . (Simplify your answer, including any radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

Factor Completely: 8x^6 - 27y^6

Determine whether the equation represents exponential growth, exponential decay, or neither. y=200(0.98)^t growth decay neither

Which of the following sets of numbers could not represent the three sides of a right triangle?

Need Help? f(x) = x^4 + 1.25x^3 - 0.62x Complete the missing values and indicated in the table below. (x) f(x) 64 -3 16 -2 4 -1 1 0 0.25 1 0.0625 2 0.015625 3

g(n)=-2 n-2 h(n)=n^2+5 n Find (5 g-4 h)(-2)

The lengths (in kilometers) of a random sample of 22 rivers on the South island of New Zealand that flow to the Tasman Sea are listed in table below. Lengths of Rivers (in km): 32, 72, 76, 64, 64, 80, 37, 51, 40, 80, 177, 35, 56, 72, 56, 64, 68, 56, 48, 108, 32, 121. For the data shown above, find the following. Do not round any of your answers. The program here will take either answer. a) Find the 5 -number summary: b) Compute the IQR. c) What is the lower fence for this data set?

2x+3+4=34

Find the missing coordinates to complete the following ordered-pair solutions to the given linear equation y+3x=6 (a) (-1, (b) (5,

Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. s = sqrt((n[Σ(f * x^2)] - [Σ(f * x)]^2) / (n(n-1))) Interval 30-36 37-43 44-50 51-57 58-64 65-71 72-78 Frequency 2 2 6 4 9 32 38 Standard deviation = (Round to one decimal place as needed.)

Solve the system of equations using substitution or elimination by addition. x+y=0.5 -0.5x-0.6y=-0.24 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is (Type an ordered pair.) B. There are infinitely many solutions. C. There is no solution.

Solve 1. (x+3)(x+2)=0 2. (x+1)(x-2)=0 3. (x-1)(x-3)=0 4. 2x+1=0 5. 3x-1=0 6. (2x+1)(3x-1)=0 7. 1/2 x-1=0 8. 1/3 x+1=0 9. (1/2 x-1)(1/3 x+1)=0 10. (1/3 x-1/4)(1/2 x-3/7)=0

Use the remainder theorem to find the remainder when f(x) is divided by x-2. Then use f(x) = 3x^3 - 9x^2 + 15x - 12 The remainder is .

Five hundred consumers are surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table. 18-24 25-34 35-55 55 and over Total Liked Crunchicles 1 17 18 75 111 Disliked Crunchicles 20 27 13 30 90 No Preference 69 19 43 168 299 Total 90 63 74 273 500 One consumer from the survey is selected at random. Leave all answers in a reduced fraction. a. What is the probability that the consumer is 18-24 years of age, given that he/she dislikes Crunchicles? b. What is the probability that the selected consumer dislikes Crunchicles? c. What is the probability that the selected consumer is 35-55 years old or likes Crunchicles? d. If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?

The Ludlow Wildcats baseball team, a minor league team in the Cleveland Indians organization, plays 70% of their games at night and 30% during the day. The team wins 50% of their night games and 90% of their day games. According to today's newspaper, they won yesterday. What is the probability the game was played at night? Note: Round your answer to 4 decimal places.

Complete each problem using th than 1 and in simplest form. (a) 1,2,5,9 square + 2/- = /10

Write an equation of the line passing through the points (5,-31) and (-4,14). The equation of the line is □ (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers the equation.)

Determine if a triangle can be formed with the given lengths. If so, classify the triangle by angles.

Complete the following task for the five values that are displayed on the graph. Missing Score

Find the derivative of the function. y = x(x^3 + 1) y' =

Find the exact value of the expression 6 cos (π/6) - 3 tan (π/4) Select the correct choice below and, if n A. 6 cos (π/6) - 3 tan (π/4) = □ (Simplify your answer. Type an ex B. The answer is undefined.

Find the x-coordinates of all points on the circle (x^2+y^2=53) with a y-coordinate of 7.

How many different ID cards can be made if there are six digits on a card and no digit can be used more than once? What if digits can be repeated? Part 1 of 2 There are different ID cards that can be made if no digit can be used more than once. Part 2 of 2 There are different ID cards that can be made if digits can be repeated.

f(x)=2x+5 g(x)=x+1 Find (f+g)(-9)

Choose f(g(x)). Given: f(x)=x^2/2 ; g(x)=x+2 3x^2+2 x^2+2x+2 x^2/2+2 (x^2+4x+4)/2

g(t)=2t+4 f(t)=4t+4 Find g(10)+f(10)

Let y = ∛x * (1/x - 2). Use the product rule to compute and simplify y′.

Find (f+g, f-g, fg) and (fracfg). Determine the domain for each function. [f(x)=3x+2, g(x)=x-9] ((f+g)(x)=4x-7) (Simplify your answer.) What is the domain of (f+g)? A. The domain of (f+g) is (square) - (Type your answer in interval notation.) B. The domain of (f+g) is (square) . (Use a comma to separate answers as needed.) C. The domain of (f+g) is (varnothing).

Solve the system of equations by graphing. 5x + 3y = 18 x + 3y = -6

Given the following graph of two functions, find (f ∘ g)(4).

Solve the equation by factoring. (Enter your answers as a comma-separated list.) a^3+3 a^2-16 a-48=0 a=

Pregunta 2 20 pts Sea f(x)=x^3-4x^2-3x+15. Hallar los valores de x en que la pendiente de la recta tangente en ese punto sea igual a 0. x=-0,45 ; x=-2,2 x=-1 / 3 ; x=3 x=1 / 3 ; x=-3 x=0,45 ; x=2,2

Which of the following points satisfy the equation x^2 - xy^2 = 2 ? A. (-√2 / 2, (4.5)^(1 / 4)) B. (0, √2) C. (-√2, 0) D. (0,0) E. None of these.

Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution. x+y-z= -5 2x-y+z= 5 -x+3y-2z= 1 Use the Gaussian elimination method to obtain the matrix in row-echelon form. Choose the correct answer below. B. [1 1 -1 -5; 0 1 -1 -5; 0 0 1 16] C. [1 0 0 -5; -1 1 0 -5; -1 1 1 16] D. [1 1 -5 -1; 0 1 -5 -1; 0 0 1 16]

Find n(A) for the following set. A=104,105,106,107, ..., 150

Simplify. Do not use negative exponents in the answer. 4^-2 b^8 c^5 / 3^-3 b^4 c^7

∫ 3x^2 sin(πx) dx

Find dy/dx by implicit differentiation. 20 x^2 = 20 - e^y dy/dx = (Type an exact answer.)

What is the measure of angle CBA in the triangle below?

Choose the correct ordered pairs represented in the table. The following table gives per unit costs for furniture and shows selling prices. The numbers represent hundreds of dollars. c 1 2 3 4 5 f(c) 1 4 9 16 25

i. 84 is 20% of □ (Type an integer, proper fraction, or mixed number.)

I want to take a survey of students currently enrolled in my statistics course. There are 250 of them, so I number them from 001 to 250 in alphabetical order. If I use the portion of the given random number table to select the first five students to be interviewed, which five numbers will be selected? 174,095,148,064,239 174,095,148,174,064 690,416,581,787,174

Determine if the given ordered triple is a solution of the system. (-1,5,1) x+y+z=5 x-y+5z=-1 2x+y+z=4 solution not a solution

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