Cumulative Exam Answers

The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. If a person weighs 180 pounds on the surface of the earth and the radius of the earth is 3900 miles, what will the person weigh if he or she is 850 miles above the earth's surface? Round your answer to the nearest hundredth of a pound.a.121.34 lbb.121.74 lbc.122.74 lbd.120.84 lb

Which is the correct graph of ? a. c. b. d. Please select the best answer from the choices provided

A bank account balance, b, for an account starting with s dollars, earning an annual interest rate, r, and left untouched for n years can be calculated as . Find a bank account balance to the nearest dollar, if the account starts with $200, has an annual rate of 4%, and the money left in the account for 10 years. a. $300 c. $280 b. $296 d. $302 Please select the best answer from the choices provided

A set of data is normally distributed with a mean of 455 and a standard deviation of 25. What percent of the data is in the interval 405–455? a. 47.5% c. 68.3% b. 49.85% d. 34.15% Please select the best answer from the choices provided

You have just graduated from college and purchased a car for $8000. Your credit limit is $20,000. Assume that you make no payments and purchase nothing more and that there are no other fees. The monthly interest rate is 12%. Find the y-intercept for the exponential function which represents how much you will owe (represented by y) after x months with no more purchases or payments.a.(0, 20,000)c.(0, 8000)b.(8000, 0)d.(20,000, 0)

Below is a graph of exponential functions labelled I through VI. Determine which of the following exponential formula(s) represents exponential function II in the graph above. () () () () () () a. c. b. d. Please select the best answer from the choices provided

A sample of restaurants in a city shows that the average cost of an appetizer is $6.32 with a standard deviation of $0.47. A brand new restaurant wants to get noticed by offering appetizers for a much lower price. To determine the lower price, should the formula use a z-value that is greater than or less than -1?a.Greater than -1c.Greater than 1b.Less than -1d.Either way, it doesn’t matter

Below is a graph of exponential functions label I though VI. Determine which of the following exponential formula(s) represents I, V, VI in the graph above. () () () () () () a. , , and c. , , and b. , , and d. , , and Please select the best answer from the choices provided

Below is a graph of exponential functions label I though VI. Determine which of the following exponential formula(s) represents II and IV in the graph above. () () () () () () a. and c. and b. and d. and Please select the best answer from the choices provided

Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph.What is the probability that one girl and two boys will be chosen?

The normal curve with a mean of 0 and standard deviation of 1 is called ________________a.standard normal curve.c.the emperical rule.b.a random variable.d.the z-value.

The quadratic regression equation y = –0.1x2 + 143.99x – 13,242.84 models expected company profits in terms of the number of pairs of shoes sold.Based on the regression equation, approximately how much profit can the company expect if it sells 400 pairs of shoes?

Which is the graph of ?

Which function is shown in the graph below?

A scientist calculated the mean and standard deviation of a data set to be and . She then found that she was missing one data value from the set. She knows that the missing data value was exactly 3 standard deviations away from the mean. What was the missing data value?

A supervisor finds the mean number of miles that the employees in a department live from work. He finds and . Which statement must be true?

Given that and What is the domain of the functions f and g? a. only positive integers c. only negative integers b. All non zero real numbers. d. All real numbers including zero Please select the best answer from the choices provided

All 150 eighth grade students at a local middle school were asked how many hours they studied during the week. Each row of the table represents one sample from the population. Find the mean of each sample. Population DataRow 165304Row 245356Row 371453Row 442563Which row has the greatest mean?

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference?

Sam kept track of the number of problems he was assigned for his math homework on the box plot.Which statement must be true according to the box plot?

Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?

Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car. Their responses are shown in the table below.Car ColorFavorite ColorNumber of StudentsBlue5Red18Gray27Silver14White16Using proportional reasoning, how many students out of the 1,000 would you expect to prefer a silver car?

One brand of vinegar has a pH of 4.5. Another brand has a pH of 5.0. The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. What is the approximate difference in the concentration of hydrogen ions between the two brands of vinegar?

A city’s annual rainfall totals are normally distributed, and the probability that the city gets more than 43.2 inches of rain in a year is given by . If the standard deviation of the city’s yearly rainfall totals is 1.8 inches, what is the city’s mean annual rainfall?

You just obtained a credit card. You immediately purchase a stereo system for $200. Your credit limit is $1000. Let’s assume that you make no payments and purchase nothing more and there are no other fees. The monthly interest rate is 1.42%.What is the growth rate of your credit card balance?a.0.42c.14.2b.0.0142d.142