Practice Exam

Question 1

The formula s is equal to square root of cap s cap A over 6 end root gives the length of the side, s , of a cube with a surface area, cap s cap A How much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters?

Revolt · Accepted Answer

C: square root of 5  m

Question 2

A company makes a product and has no way to determine which ones are faulty until an unhappy customer returns it. Three percent of the products are faulty and will cost the company 200 dollars each in customer service and repairs. If the company does not refund the customer when repairing the item, how much should the company charge to make a profit of 2 point 0 0 dollars per item?

Revolt · Accepted Answer

D: 8 point 0 0 dollars

Question 3

An angle in standard position measures pi over 2 radians, and cap p times open paren 0 comma 1 close paren is on the terminal side of the angle. What is the value of the cosine of this angle?

Revolt · Accepted Answer

B: 0

Question 4

An international calling plan charges 45 cents per minute or fraction of a minute for each call. Which graph models the cost, y , in cents of making x minutes of international calls?

Revolt · Accepted Answer

C: Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from negative 0 to 450 in increments of 45. The graph has 10 stepwise arrangements starting from (0 comma 45). Each step has an open circle, a line segment, and a closed circle, and all are connected. The first step begins at (0 comma 45) with an open circle and ends at (1 comma 45) with a closed circle. Each step goes from left to right. The last step has an open circle at (9 comma 450) and a closed circle at (10 comma 450).

Question 5

An initial investment of 200 dollars is now valued at 350 dollars The annual interest rate is 8 percent compounded continuously. The equation 200 e raised to the 0 point 0 8 t power is equal to 350 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use a calculator and round your answer to the nearest whole number.

Revolt · Accepted Answer

B: 7  years

Question 6

Mrs. Gomes found that 40 percent of students at her high school take chemistry. She randomly surveys 12 students. What is the probability that at most 4 students have taken chemistry? Round the answer to the nearest thousandth. cap p times k successes is equal to n cap c sub k p to the k th power open paren 1 minus p close paren raised to the n minus k power n cap c sub k is equal to the fraction with numerator n factorial and denominator open paren n minus k close paren factorial times k factorial

Revolt · Accepted Answer

D: 0 point 4 3 8

Question 7

A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146 , with a standard deviation of 34 Which of the following values is outside the 99 percent confidence interval for the population mean? Use the table to help you answer the question. Confidence Level 90 percent 95 percent 99 percent z to the ast th power -score 1 point 6 4 5 1 point 9 6 2 point 5 8 Remember, the margin of error, ME , can be determined using the formula ME is equal to the fraction with numerator z times s and denominator square root of n

Revolt · Accepted Answer

A: the value of  135  because it is not greater than  136 point 5

Question 8

A textbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard deviation of 3 minutes. A teacher using the book is not sure that this is correct for her classes and wants to check. She collects data on 10 random students and finds that the average time to take the quiz was only 25 minutes. As a result, the teacher performs a two-tailed hypothesis test with a significance level of 5 percent Which conclusion is valid based on the results of the test?

Revolt · Accepted Answer

A: Her students, on average, do not take  30  minutes on the quiz, contrary to what the textbook company stated.

Question 9

The mean sustained wind velocity, v , can be determined by the equation v is equal to 6 point 3 square root of 1013 minus p end root , where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?

Revolt · Accepted Answer

C: 910  millibars; D: 363  millibars

Question 10

A circle has a central angle measuring 7 pi over 6 radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3 point 1 4 for pi

Revolt · Accepted Answer

D: 4 point 9  cm

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