Unit Test — Cumulative exam Answers
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Law of sines:
A
c = StartFraction (3) sine (40 degrees) Over sine (45 degrees) EndFraction
B
c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction
C
c = StartFraction sine (40 degrees) Over (3) sine (45 degrees) EndFraction
D
c = StartFraction sine (45 degrees) Over (3) sine (40 degrees)
42
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Which three-dimensional figure has half the number of vertices as the rectangular prism?
A
hexagonal prismB
rectangular pyramidC
triangular prismD
triangular pyramid43
Which of the following is the graph of the function y = 4csc(x)?
A
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 4 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals negative 3 at (pi by 2 comma negative 3) and (negative 3 pi by 2 comma negative 3) and y equals negative 5 at (3 pi by 2 comma negative 5) and (negative pi by 2 comma negative 5).
B
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 4 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 5 at (pi by 2 comma 5) and (negative 3 pi by 2 comma 5) and y equals negative 3 at (3 pi by 2 comma 3) and (negative pi by 2 comma 3).
C
On a coordinate plane, the x axis ranges from negative pi to 3 pi with an interval of pi units and the y axis ranges from negative 8 to 8 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 4 at (5 pi by 2 comma 4) and (pi by 2 comma 4) and y equals negative 4 at (3 pi by 2 comma negative 4) and (negative pi by 2 comma negative 4).
D
On a coordinate plane, the x axis ranges from negative pi to 3 pi with an interval of pi units and the y axis ranges from negative 8 to 8 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 4 at (9 pi by 5 comma 4) and (pi by 5 comma 4) and y equals negative 4 at (14 pi by 5 comma negative 4) and (negative 4 pi by 5 comma negative 4).
44
To produce the graph of the function , what transformations should be applied to the graph of the parent function ?
A
a horizontal compression to produce a period of and a vertical compression
B
a horizontal compression to produce a period of and a vertical stretch
C
a horizontal stretch to produce a period of and a vertical compression
D
a horizontal stretch to produce a period of and a vertical stretch
45
For which value of is csc () undefined?
A
0B
StartFraction pi Over 2 EndFraction
C
StartFraction 3 pi Over 2 EndFraction
D
StartFraction 7 pi Over 2 EndFraction
46
Which of the following is a valid probability distribution?
A
A 2-column table labeled Probability Distribution A has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.42, 0.38, 0.13, 0.07.
B
A 2-column table labeled Probability Distribution B has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.27, 0.28, 0.26, 0.27.
C
A 2-column table labeled Probability Distribution C has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.16, 0.39, 0.18, 0.17.
D
A 2-column table labeled Probability Distribution D has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.63, 0.12, 0.14, 0.13.
47
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 =
A
16 square centimetersB
30 square centimetersC
56 square centimetersD
60 square centimeters48
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 .
A
2.6 ftB
7.0 ftC
10.5 ftD
31.4 ft49
The box plots below show the ages of college students in different math courses. Math 1 Math 2Which statement is true?
A
The median age of the students in Math 1 is greater than the median age of the students in Math 2.B
The median age of the students is Math 1 is less than the median age of the students in Math 2.C
The mean and median age are most likely the same for both sets of data.D
The mean and median age are more likely to be the same for the students in Math 1.50
For the graphs below, for which probability distribution is the value of the median greater than the value of the mean?
A
Negatively skewedB
Normal, symmetrical distributionC
Positively skewed distributionD
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