AnswersAL-Algebra II with StatisticsCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which graph represents the following piecewise defined function?

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D
22
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David is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?

A
the mean of the population
B
the mean of the sample
C
the standard deviation of the population
D
the significance level of the test
23

A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. The napkin has a perimeter of 38 centimeters.Trigonometric area formula: Area =

Question illustration
A
16 square centimeters
B
30 square centimeters
C
56 square centimeters
D
60 square centimeters
24

Marleny is creating a game of chance for her family. She has 5 different colored marbles in a bag: blue, red, yellow, white, and black. She decided that blue is the winning color. If a player chooses any other color, they lose 2 points. How many points should the blue marble be worth for the game to be fair?

A
4
B
6
C
8
D
10
25

The College Board states that the average math SAT score is 514 with a standard deviation of 117. Colleen gathered data from 50 students in her graduating class and found the average score to be 529. She thinks that her class’s math SAT score is different from the average. Which of the following shows the correct z-statistic for this situation?

A
0.02
B
0.91
C
1.26
D
5.67
26

Which of the following is the inverse of ?

Question illustration
A
y = log Subscript one-twelfth Baseline x
Option A
B
y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction
Option B
C
y = log Subscript x Baseline 12
Option C
D
y = log Subscript 12 Baseline x
Option D
27

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

Question illustration
A
Negatively skewed
B
Normal, symmetrical distribution
C
Positively skewed distribution
D
None of the above
28

Which statements accurately compare the functions in the graph? Select two options.

A
Neither function has a maximum value.
B
The functions share a y-intercept of –1.
C
The functions share an x-intercept of 1.
D
Both functions have a range of all real numbers.
E
Both functions have a domain of all real numbers.
29

What is the approximate angle measure for angle W in the triangle below?

Question illustration
A
48.5°
B
53.9°
C
77.6°
D
89.8°
30

What is radians converted to degrees? If necessary, round your answer to the nearest degree.

Question illustration
A
45°
B
135°
C
240°
D
540°
31

Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives.Number of Hours vs. Amount Left in TankNumber of Hours Spent Driving (h)3579Amount of Gas Left in Tank, in gallons (g)12840Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank?

A
g = 18 – 2h; 18 gallons
B
g = 18 – 2h; 16 gallons
C
g = 3h + 3; 30 gallons
D
g = 3h + 3; 12 gallons
32

What is the value of given the diagram below?

Question illustration
A
Negative StartRoot 5 EndRoot
Option A
B
Negative StartFraction StartRoot 5 EndRoot Over 2 EndFraction
Option B
C
StartFraction StartRoot 5 EndRoot Over 2 EndFraction
Option C
D
StartRoot 5 EndRoot
Option D
33

In the triangle below, represents which ratio?

Question illustration
A
tanB
B
tanC
C
sinB
D
cosC
34

How long is the arc intersected by a central angle of radians in a circle with a radius of 2 ft? Round your answer to the nearest tenth. Use 3.14 for .

Question illustration
A
2.6 ft
B
7.0 ft
C
10.5 ft
D
31.4 ft
35

The height of the equilateral triangle below is 15 units. What is the value of x?

Question illustration
A
15 StartRoot 3 EndRoot
Option A
B
30 StartRoot 3 EndRoot
Option B
C
StartFraction 15 Over StartRoot 3 EndRoot EndFraction
Option C
D
StartFraction 30 Over StartRoot 3 EndRoot
Option D
36

In triangle MNP, and units. What is the approximate length of PN?

Question illustration
A
3.8 units
B
6.5 units
C
15.3 units
D
26.1 units
37

Which expression is equivalent to ?

Question illustration
A
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
Option A
B
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 16
Option B
C
2 log Subscript 5 Baseline x + 2 log Subscript 5 Baseline 4
Option C
D
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
Option D
38

Myra uses an inverse variation function to model the data for the ordered pairs below.(2, 30), (3, 20), (4, 15), (5, 12), (6, 10)Which statement best explains whether an inverse variation function is the best model for the data?

A
An inverse function is the best model because as x increases, y decreases.
B
An inverse function is the best model because the products of corresponding x- and y-values are equal.
C
An inverse variation function is not the best model because data points approximate a straight line.
D
An inverse variation function is not the best model because the data points show an exponential decay.
39

A tree is leaning at a 5° angle from vertical, making an 85° angle with the ground. When the sun is at a 65° angle of elevation, the tree casts a 25-foot shadow. What is the approximate length of the tree?

A
23 ft.
B
27 ft.
C
45 ft.
D
50 ft.
40

What is the equation of the graph below?

Question illustration
A
y = cosine (StartFraction x Over 0.4 EndFraction)
Option A
B
y = cos(5x)
C
y = cos(0.4x)
D
y = cosine (StartFraction x Over 5 EndFraction)
Option D

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