Math Questions

Which data set is the farthest from a normal distribution? . 2, 3, 3, 4, 4, 4, 5, 5, 6 3, 4, 5, 6, 6, 7, 7, 7, 8, 8, 9, 10 0.9, 1.0, 1.0, 1.1, 1.1, 1.1, 1.2, 1.2, 1.3 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 8 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10

A box with an open top has vertical sides, a square bottom, and a volume of 32 cubic meters. If the box has the least possible surface area, find its dimensions. Height = (include units) Length of base= (include units)

Use finite approximations to estimate the area under the graph of the function f(x) = 24-x² - 2x between x = -6 and x = 4 for each of the following cases. a. Using a lower sum with two rectangles of equal width b. Using a lower sum with four rectangles of equal width c. Using an upper sum with two rectangles of equal width d. Using an upper sum with four rectangles of equal width

The quadratic function R(p)= 70p - 5.2p² models the amount of revenue in dollars R(p), generated from a product priced at p dollars. Question: What price(s) generate a revenue of $250? Enter the two solutions rounded to the nearest penny (hundredth of a dollar) in order from least to greatest. IF there is no valid answer enter N/A in all blanks. *Remember: When calculating, do not do any rounding until the end of Answer: The prices that generate a revenue of $250 are $ your calculations. and $

A computer purchased for $1,100 loses 16% of its value every year. The computer's value can be modeled by the function v(t) = ab^t, where v is the dollar value and t the number of years since purchase. (A) In the exponential model a =__and b =___ (B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place. The answer is ___years

What is the solution to the following system? 3x+10y-12z=40 x-5y=0 X-4z=0 (8, 40, 32) (10, 2, 3) (20, 4, 5) (40, 8, 10)

Gordon invested $100,000 into a CD compounded quarterly with an annual interest rate of 6.00%. Determine how much money Gordon would have after 8 years. Round your answer to the nearest cent. Provide only a numerical answer (For example, if the final amount came to $5,023.97, then you would input 5023.97). Your Answer:

Translate the following verbal statement into an algebraic equation and then solve: Rachael bought a bookcase on sale for $220, which was two-fifths of the original price. What was the original price of the bookcase? Use p for your variable. Equation= p=

Kalesha has a statue that is in the shape of a square pyramid. One of the side of the square base is 17 in. long and the volume of the pyramid is 2023 in³. What is the height of the pyramid? Enter your answer in the box. in.

A) Find the exact value for each, given the information. B) In which quadrant is the angle (a + B)? sin a = -4/5 and cos b = 12/13 ; a & ß are in the same quadrant. Find sin(a +b) and cos(a + b). sin a = 8/17 and cos b = 7/25 ; a & ß are in the same quadrant. Find sin(a +b) and cos(a + b).

Sarah borrows a $300 to purchase a new computer and is charged 12% simple interest. She is not required to make payments on the loan for two years, and she makes one payment to pay off the loan after two years. How much was the payment she made? 172 $372 $720 $327

Last week Marcus travelled 150 miles in 3 hours. This week he wants to go on a 300 mile trip in 5 hours. Will it be possible to make this trip if she travels at the same speed as last week's trip? Show your work and explain why or why not this would be possible.

If a stone is thrown vertically upward from the surface of the moon with a velocity of 10 m/s, its height (in meters) after t seconds is h(t) = 10t - 0.83² (a) What is the velocity of the stone after 4 seconds? (b) What is the velocity of the stone after it has risen 25 m?

Grace collected data from twenty of her friends about the number of pets they have. The median number of pets is two. What does the median say about Grace's data set? A. Everyone Grace surveyed has two pets. B. More of Grace's friends have two pets than any other number. C Two is the middle number when the number of pets in the data set is ordered from least to greatest. D. Two is the difference between the greatest and least number of pets Grace's friends have.

In order for applicants to work for the foreign- service department, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that applicants have studied a particular language and the grades they received on the proficiency exam. # of years,x 2 3 3 4 5 5 6 6 8 Grade on test,y 59 62 70 72 78 85 80 88 92 Find the test value for testing linear correlation. 4.26 7.08 1.97 .937

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 41F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms. There is not sufficient evidence to support the claim that the mean temperature is different from 41°F. There is sufficient evidence to support the claim that the mean temperature is different from 41°F. There is sufficient evidence to support the claim that the mean temperature is equal to 41°F. There is not sufficient evidence to support the claim that the mean temperature is equal to 41°F.

The population of a small town in North Carolina is 4,000, and it has a decay rate of 3% per year. Which expression can be used to calculate the town's population x years from now? 4,000x1.03 4,000x³ 4,000(1.03)* 4,000(.97)*

A poll of 1567 adults in a certain country found that 23% identified themselves as the followers of some religion. The margin of error was 4 percentage points with 90% confidence. Which of the following represents a reasonable interpretation of the survey results? A. In 90% of samples of adults in a certain country, the proportion who identify themselves as the followers of some religion is between 19% and 27%. B. There is 90% confidence that 23% of adults in a certain country identify themselves as the followers of some religion. C. There is 90% confidence that the proportion of adults in a certain country who identify themselves as the followers of some religion is between 19% and 27%. D. There is between 86% and 94% confidence that 23% of adults in a certain country identify themselves as the followers of some religion.

The equation for line t can be written as y = -4x + 8. Perpendicular to line t is line u, which passes through the point (-8, -8). What is the equation of line u? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

A 10-foot ladder is to be placed against the side of a building. The base of the ladder must be placed at an angle of 72° with the level ground for a secure footing. Find, to the nearest inch, how far the base of the ladder should be from the side of the building and how far up the side of the building the ladder will reach.

Find the equation of the tangent line to y = 4^(x^2-6z+1) at x=2 y=

Sand is poured onto a surface at 20 cm³/s, forming a conical pile whose base diameter is always equal to its altitude. How fast (in cm/s) is the altitude of the pile increasing when the pile is 3 cm high? Remember, the volume of a cone is V =πr ². Note: Round to the nearest hundredth.

Carolyn was not able to sell her house for $220,000, so she lowered the price to $195,000. What was the percent of decrease? Round to the nearest tenth of a percent.

Solve and check the linear equation. 5(x-2)+17= 4(x+3) What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is {x|x is a real number}. C. The solution set is Ø.

You are given 6 to 1 odds against tossing three heads with three coins . (probability 1/8 meaning you win $ 6 if you succeed and you lose $ 1 if you fail. How much money you expect to win (or lose) after 200 games?

A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is 5730 years.) years

A plane traveled 1120 miles to Cheyenne and back. The trip there was with the wind. It took 10 hours. The trip back was into the wind. The trip back took 20 hours. Find the speed of the plane in still air and the speed of the wind. A) plane: 84 mph, wind: 28 mph C) plane: 39 mph, wind: 39 mph B) plane: 130 mph, wind: 20 mph D) plane: 39 mph, wind: 26 mph

In 1984, the population of Greensboro, N.C. was 197,910. According to the U.S. Census Bureau, Greensboro has been decreasing at the rate of 6.9% annually since 1984. What equation models the population of Greensboro t years after 1984? 197, 910(1 - 6.9)t 197, 910(1 - 0.69)t 197,910(1-0.069)t 197, 910(1 - 69)t

Is the equation A = 21000(1-0.12)t a model of exponential growth or exponential decay, and what is the rate (percent) of change per time period? exponential decay and 88% exponential decay and 12% exponential growth and 12% exponential growth and 88%

Mr. Smith invested $2,500 in a savings account that earns 3% interest compounded annually. He made no additional deposits or withdrawals. Which expression can be used to determine the number of dollars in this account at the end of 4 years? 2500(1+0.04)³ 2500(1+0.3)4 2500(1+0.03)4 2500(1+0.4)³

A hot-air balloon is floating above a straight road. To calculate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be 21 and 23°. How high (in feet) is the ballon?

A psychologist wants to estimate the standard deviation of IQ scores. It is widely believed that IQ scores follow a normal distribution. Her random sample of 20 IQ scores has a mean of 101.3 and a standard deviation of 16.9. Find the 90% confidence interval for the population standard deviation based on this sample. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.)

Order the investments below from 1 to 4, with the investment labeled "1" being theriskiest and the investment labeled "4" being the safest. Foreign Stocks U.S. Government Bonds Fixed-Income Bank Account U.S. Stocks

There are 800 toothpicks in a regular-sized box. If a jumbo box is made by doubling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box hold?

Paul purchased a $2450 bond paying 3.5% annual simple interest after graduating from college. It is now 21 years later and he decides to cash in the bond. What is the value of this bond now? Round your answer to the nearest dollar. $1808 $4251 $4125 $18,008 $1800.75

Given that f(x)= x²(x+3)². Which of the following is correct? As x→∞, f(x)→∞o; as x→∞, f(x)→-∞0. As X →∞, f(x)→-o; as xxx, f(x) →∞. As x→∞, f(x)→∞o; as x→ ∞, f(x) →∞. AS X →∞o, f(x) →∞o; as x→∞o, f(x)→ ∞.

Which best describes the numbers satisfying the inequality x<7? all numbers greater than 7 all numbers less than 7 all numbers greater than and including 7 all numbers less than and including 7

Trials in an experiment with a polygraph include 98 results that include 24 cases of wrong results and 74 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.

A farmer has 100 feet of fence available to enclose a 500 square foot region in the shape of adjoining squares, with sides of length x and y. The big square has sides of length x and the small square has sides oft length y. Find x and y.

A 15-foot ladder leans against the side of a house with its base 4 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth. The ladder reaches feet high.

Samantha wants to start a college fund for her daughter Taylor. She puts $37000 into an account that grows at a rate of 2.14% per year, compounded monthly. Write a function, C(t), that represents the amount of money in the account t years after the account is opened, given that no more money is deposited into or withdrawn from the account C(t) =

A helicopter can hold a maximum of 8 people or 1000 pounds. A group of 7 people want to know if they can take a ride. Which measure of central tendency in relation to the group's weight could you use to determine if the 7 people can ride together? Mean Mode Median Standard Deviation

2. An educator was trying to determine the effect of remote learning on middle school aged children. They randomly selected 250 students who spent a full year with in person learning and 190 of them showed similar or improved scores on a set of metrics. They also randomly selected 350 student who spent the year remotely learning and 252 of them showed similar or improved scores. a. Construct a 95% confidence interval for the difference of proportions. Show all intermediate calculations to receive full credit. b. Based on the confidence interval can you conclude there is a difference between the two groups?

a) Approximate the area under the curve of f(x) = -x³ + 20 from x = 1 to x = 4 to using 3 right approximating rectangles. b) The answer from part "a" is Select an answer

A hyperbola has vertices (1,2) and (3,2). Which of the following equations could represent this hyperbola? Select all that apply.

Consider the following inequality: 25 <(x + 1)^2 + (y+ 6)^2. The shaded solution on the coordinate plane includes all of the area outside the circle, which is bordered by a dotted line. True False

Graph the inverse of the function f(x) = 2x+4. Show the function and its inverse on the same coordinate plane. Your answer must include: • A hand-drawn or calculator-created image of the graphs with the functions f(x) and f1(x) identified, along with labeled axes. • A table of values with at least six ordered pairs for each function, f(x) and f¹(x). . An explanation of the reason these functions are inverses. Use complete sentences.

Determine where the graph of f is below the graph of g by solving the inequality f(x) sgtx). f(x)=x^4 +3 g(x) = x + 3 f(x) ≤ g(x) if x ≤ 0 or x≥ 1 f(x) ≤ g(x) if x ≤ -1 or x≥ 1 f(x) ≤ g(x) if-1 ≤ x ≤ 1 f(x) ≤ g(x) if 0 ≤ x ≤ 1

You approach a hill on top of which there is a tall radio antenna. You know from your map that your horizontal distance from the bottom of the radio antenna is 600 feet. The angle of elevation to the bottom of the antenna is 10°, and the angle of elevation to the top of the antenna is 25°. You figure that the height of the hill is feet, and the height of the antenna is feet. (Enter your answers rounded to the nearest foot.) Hint: Draw a picture. Figure out the height of the hill. Figure out the combined height of the antenna and the hill. Compute the difference.

Read the following description: An organization that provides networking and collaboration for American Indian and Alaska native psychological professionals Which of the following organizations best matches the description? Select the best answer. AAPA NLPA SIP Keyboa