Piecewise Defined Functions — Cumulative exam Answers

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%. The second car depreciates at an annual rate of 15%. What is the approximate difference in the ages of the two cars?

Machine engineers are designing a new ice cube machine. They notice that designs that use cubes containing higher volumes of water take longer to freeze. The data in the table show various volumes (in milliliters) and freezing times (in hours) for a sample of machine designs.

Data were collected from a typing class with 10 students. The class had an average of 56 words per minute (WPM) with a standard deviation of 7 WPM. The teacher realized that the data from one student who typed 70 WPM was not entered. If this student’s results were included in the data set, what effect would it have on the standard deviation?

The scatterplot displays the number of pretzels students could grab with their dominant hand and their handspan, measured in centimeters.

Machine engineers are designing a new ice machine for use in restaurants. They notice that designs that use cubes containing higher volumes of water take longer to freeze.

Information about how the students at Vista View High School got to school this morning is shown in the table.

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”What is the inverse of the original conditional statement?

The dotplot below displays the number of math classes taken by a random sample of 35 students at a high school.

Which statements are true? Select three options.

The following two-way table shows the distribution of weekend work hours and how long employees have been at the company.

A health organization collects data on hospitals in a large metropolitan area. The scatterplot shows the relationship between two variables the organization collected: the number of beds each hospital has available and the average number of days a patient stays in the hospital (mean length of stay).

Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. Some are scented and some are unscented. If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel.For the events "shower gel” and "scented” to be independent, what must be shown to be true?

As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.1, 4, 4, 4, 4, 6, 5

A statistics student gave a survey to students which asked how many first cousins they have. The data from the first nine responses are shown below.6, 2, 7, 8, 8, 8, 5, 10, 10

Review the table.Number of days since rumor started012345Number of people hearing rumor1016264266100

The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5 percent chance that a customer buy apples and carrots, and a 17 percent chance that a customer buys apples or carrots.What is the probability of a customer buying carrots?

The side-by-side stemplot below displays the arm spans, in centimeters, for two classes.

Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books.If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book?

A school administrator asks each student if they participate in a sport and if they participate in a club. The results are shown below. Participates in a Sport YesNoTotalParticipates in a ClubYes6204501070No325535860 Total9459851930What percentage of students do not participate in a sport?

The following two-way table shows the distribution of a random sample of travelers and their preferences for accommodations and method of travel.