AnswersEAP-Algebra Functions and Data Analysis BCumulative Exam

Cumulative Exam — Cumulative exam Answers

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1
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The data in the table represent the height of an object over time.

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A
quadratic, because the height of the object increases or decreases with a multiplicative rate of change
B
quadratic, because the height increases and then decreases
C
exponential, because the height of the object increases or decreases with a multiplicative rate of change
D
exponential, because the height increases and then decreases
2
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People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below.Pink lemonade: 156 males, 72 femalesYellow lemonade: 104 males, 48 females

A
P(pink lemonade | female) = P(pink lemonade) = 0.6.
B
P(female | pink lemonade ) = P(pink lemonade) = 0.3.
C
P(pink lemonade | female) = 0.3 and P(pink lemonade) = 0.6.
D
P(female | pink lemonade ) = 0.3 and P(pink lemonade) = 0.6.
3

The annual inflation rate is 3.5% per year. If a movie costs $7.50, determine which of the following graphs best models the change in price, with respect to time, of the movie ticket. a. c. b. d. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
4

The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

A
2.45
B
3.16
C
5.48
D
7.07
5

For the graphs below, for which probability distribution is the value of the median greater than the value of the mean?

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A
Negatively skewed
B
Normal, symmetrical distribution
C
Positively skewed distribution
D
None of the above
6

Review the table showing the percentage of contaminants remaining in a water sample after passing through each round of filters.Round% of Contaminants Left in Water Sample01001152230.3

A
6.3% of the contaminants remain in the water sample after each round of filters.
B
14.9% of the contaminants remain in the water sample after each round of filters.
C
6.3% of the remaining contaminants are removed from the water sample after each round of filters.
D
14.9% of the remaining contaminants are removed from the water sample after each round of filters.
7

Fiona recorded the mean math exam grade for six random samples of students from the entire seventh-grade class. Sample Sample Mean Grade165292378445595670Why is a valid prediction for the mean of the population not possible using these samples?

A
Fiona had too many samples.
B
Fiona didn’t have enough samples.
C
The variation of Fiona’s samples is too large.
D
The variation of Fiona’s samples is too small.
8

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

Question illustration
A
A
B
B
C
C
D
D
9

The amount of simple interest accrued on a sum of money varies jointly with the amount of money, the interest rate, and the time the money is invested. A sum of money is invested at a simple interest rate of 4% for 3 years and accrues $168 in interest. The same sum of money is invested in a second account at a simple interest rate of 6% for 4 years. Which statement is true?

A
The amount of interest accrued on the second account is less than double the amount of interest accrued on the first account.
B
The amount of interest accrued on the second account is double the amount of interest accrued on the first account.
C
The amount of interest accrued on the second account is more than double but less than triple the interest accrued on the first account.
D
The amount of interest accrued on the second account is more than triple the interest accrued on the first account.
10

A supervisor finds the mean number of miles that the employees in a department live from work. He finds and . Which mileage is within a z-score of -1.5?

Question illustration
A
21 miles
B
24 miles
C
36 miles
D
41 miles
11

What is the solution of ?

Question illustration
A
–8
B
–6
C
8
D
9
12

A simple random sample of 50 adults was surveyed, and it was found that the mean amount of time that they spend surfing the Internet per day is 54.2 minutes, with a standard deviation of 14.0 minutes. What is the 99% confidence interval (z-score = 2.58) for the number of minutes that an adult spends surfing the Internet per day?Remember, the margin of error, ME, can be determined using the formula .

Question illustration
A
49.1 minutes to 59.3 minutes
B
50.3 minutes to 58.1 minutes
C
54.2 minutes to 58.1 minutes
D
54.2 minutes to 59.3 minutes
13

A four-person committee is chosen from a group of eight boys and six girls.If students are chosen at random, what is the probability that the committee consists of all boys?

A
StartFraction 4 Over 1001 EndFraction
Option A
B
StartFraction 15 Over 1001 EndFraction
Option B
C
Option
Option C
D
Option
Option D
14

Julio is selecting a random sample of people to survey for a newspaper article. Which elements are important for Julio to consider when choosing a random sample? Select three options.

A
the size of the population
B
the size of the sample
C
the characteristics and demographics of the population
D
the probable responses to the survey questions from the population
E
the probable responses to the survey questions from the sample
15

In 1985, there were 285 cell phone subscribers in the small town of Glenwood. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in Glenwood in 1990?Years1986 (x = 1)1987 (x = 2)1988 (x = 3)Number of cell phone users4988721527a.1800c.2672b.4677d.8186

A
A
B
B
C
C
D
D
16

How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?

A
The graph of g(x) is a translation of f(x) 2 units left.
B
The graph of g(x) is a translation of f(x) 2 units right.
C
The graph of g(x) is a translation of f(x) 2 units up.
D
The graph of g(x) is a translation of f(x) 2 units down.
17

For which situations is it appropriate to use a sample? Select three options.

A
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
B
What is the average number of rainbows each year in Honolulu?
C
How many pedestrians would use a walkway built over a busy road?
D
How many police cars are equipped with computers?
E
What is the most popular car color in the teachers’ parking lot?
18

Researchers compare the body composition of cattle feeding on a grain diet with that of cattle feeding on a grass diet. This method of gathering data is classified as

A
a census.
B
a sample survey.
C
an experiment.
D
an observational study.
19

Review the table showing wind speed, y, in miles per hour, measured x hours after midnight.Hours after MidnightWind Speed (mph)14.324.24576.898108.1137.2176205.1

A
y = 1.87sin(0.29x + 6.13) + 4.79
B
y = 1.87sin(0.29x + 4.79) + 6.13
C
y = 1.87sin(–0.29x + 6.13) + 4.79
D
y = 1.87sin(–0.29x + 4.79) + 6.13
20

Administrators surveyed students enrolled in a new school in order to choose the school mascot. There are 480 students enrolled in the school. What is the proportion needed to calculate the average number of students that chose the lion for the mascot?Mascot SurveySample 1Sample 2Ducks12Ducks8Grizzlies24Grizzlies30Lions20Lions22Silverbacks16Silverbacks12

A
StartFraction 21 over 72 EndFraction = StartFraction x over 480 EndFraction
Option A
B
StartFraction 72 over 21 EndFraction = StartFraction x over 480 EndFraction
Option B
C
StartFraction 42 over 72 EndFraction = StartFraction x over 480 EndFraction
Option C
D
StartFraction 20 over 22 EndFraction = StartFraction x over 480 EndFraction
Option D

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