Unit Test — Cumulative exam Answers

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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
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According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth.

Question illustration
A
0.001
B
0.002
C
0.128
D
0.899
43

Which of the following accurately lists all of the discontinuities for the function graphed below?

Question illustration
A
jump discontinuity at x = 0; point discontinuity at x = 8
B
jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8
C
jump discontinuities at x = 0 and x = 8; point discontinuity at x = –2
D
jump discontinuity at x = 0; point discontinuities at x = –2, x = 3 and x = 8
44

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
45

Which of the following is a binomial experiment?

A
Rolling a six-sided number cube 24 times and recording if a 4 comes up
B
Rolling a six-sided number cube and recording the number until a 4 comes up
C
Rolling a six-sided number cube and recording the number until an even number comes up
D
Rolling a six-sided number cube 24 times and recording the number that comes up
46

What is the value of ?

Question illustration
A
3
B
5
C
15
D
25
47

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.
48

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation . What is the frequency of the tuning fork?

Question illustration
A
Hz
Option A
B
Hz
Option B
C
1760 Hz
D
3520 Hz
49

The first figure of the Sierpinski triangle has one shaded triangle. The second figure of the Sierpinski triangle has three shaded triangles. The third figure of the Sierpinski triangle has nine shaded triangles. Which summation represents the total number of shaded triangles in the first 15 figures?

A
Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 1 (3) Superscript n minus 1
Option A
B
Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 3 (1) Superscript n minus 1
Option B
C
Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 1 (one-third) Superscript n minus 1
Option C
D
Sigma-Summation Underscript n = 1 Overscript 15 EndScripts one-third (1) Superscript n minus 1
Option D
50

The tables show linear functions representing the cost for purchasing different amounts of broccoli and cauliflower.

Question illustration
A
The broccoli function has the greater slope, which shows that the cost per pound of broccoli is less than the cost per pound of cauliflower.
B
The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.
C
The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is less than the cost per pound of broccoli.
D
The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is greater than the cost per pound of broccoli.

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