AnswersAlgebra II B 2025Cumulative Exam

Cumulative Exam — Cumulative exam Answers

50 verified answers3 views
21
Free Preview

The scores of a high school entrance exam are approximately normally distributed with a given mean = 82.4 and standard deviation = 3.3. What percentage of the scores are between 75.8 and 89?

Question illustration
A
68%
B
95%
C
99.7%
D
100%
22
Free Preview

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
23

Which graph shows this set of transformations applied to the parent cosine function? l A reflection across the x-axis l A shift of 2 units up l A vertical compression by a factor of 0.5

A
On a coordinate plane, a cosine curve has a maximum value of 2.5 and a minimum value of 1.5. It crosses the y-axis at (0, 2.5) at its maximum point.
Option A
B
On a coordinate plane, a cosine curve has a maximum value of 2.5 and a minimum value of 1.5. It crosses the y-axis at (0, 1.5) at its minimum point.
Option B
C
On a coordinate plane, a cosine curve has a maximum value of 2.5 and a minimum value of 1.5. It crosses the y-axis at (0, 22) at its midpoint.
Option C
D
On a coordinate plane, a cosine curve has a maximum value of 2.5 and a minimum value of 1.5. It crosses the y-axis at (0, 2) at its midpoint.
Option D
24

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°
25

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
26

A survey of pet owners found that on average, they spend $1,225 annually per pet, with a standard deviation of $275. Between which two amounts would you expect 95% of the survey’s respondents to spend annually per pet if the sample is approximately normal and comes from a normally distributed population?

A
$675 and $1,500
B
$675 and $1,775
C
$950 and $1,500
D
$950 and $1,775
27

For what value of x does ?

Question illustration
A
1
B
3
C
12
D
no solution
28

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
29

If , what is the value of c?

Question illustration
A
1
B
2
C
3
D
5
30

Given that , what is the value of ?

Question illustration
A
Plus-or-minus StartRoot eight-thirds EndFraction
Option A
B
Plus-or-minus StartRoot eleven-eighths EndFraction
Option B
C
Eleven-eighths
Option C
D
Eight-thirds
Option D
31

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
32

What are the domain and range of f(x) = 2(3x)?

A
domain: ; range:
Option A
B
domain: ; range:
Option B
C
domain: ; range:
Option C
D
domain: ; range:
Option D
33

Which expression is equivalent to cos120°?

A
°
Option A
B
cos240°
C
cos300°
D
cos420°
34

Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.13, 17, 9, 21What is the standard deviation for the data?Standard deviation:

Question illustration
A
0
B
4.4
C
5.2
D
26.7
35

The amount of a sample remaining after t days is given by the equation , where A is the initial amount of the sample and h is the half-life, in days, of the substance. A sample contains 18% of its original amount of Radon-222. The half-life of Radon-222 is about 3.8 days. Which is the best estimate for the age of the sample?

Question illustration
A
1.5 days
B
2.5 days
C
9.4 days
D
21.1 days
36

What is the solution to

Question illustration
A
mc014-2.jpg
Option A
B
mc014-3.jpg
Option B
C
mc014-4.jpg
Option C
D
mc014-5.jpg
Option D
37

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4.

Question illustration
A
–6.72
B
–0.58
C
0.58
D
6.72
38

Which equation is represented by the graph below?

Question illustration
A
y = one-eighth e Superscript x
Option A
B
y = one-half e Superscript x
Option B
C
y = 2 e Superscript x
Option C
D
y = 8 e Superscript x
Option D
39

Which solution finds the value of x in the triangle below?

Question illustration
A
Secant 60 degrees = StartFraction 8 Over x EndFraction. 2 = StartFraction 8 Over x EndFraction. 2 x = 8. x = 4.
Option A
B
Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction = StartFraction 8 Over x EndFraction. x times 2 StartRoot 3 EndRoot = 24. x = StartFraction 24 Over 2 StartRoot 3 EndRoot EndFraction. x = StartFraction 12 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 12 StartRoot 3 EndRoot Over 3 EndFraction. x = 4 StartRoot 3 EndRoot.
Option B
C
Secant 60 degrees = StartFraction 8 Over x EndFraction. One-half = StartFraction 8 Over x Endfraction. x = 16
Option C
D
Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction StartRoot 3 EndRoot Over 2 EndFraction = StartFraction 8 Over x EndFraction. x times StartRoot 3 EndRoot = 16. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 StartRoot 3 EndRoot Over 3 EndFraction.
Option D
40

What is the solution of ?

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

Did you find these answers helpful?

More from this Course

RC
25 verified answers

Cumulative Exam

Quiz
10 verified answers

Designing a Study

Quiz
25 verified answers

Unit Test