AnswersSS26 Math 3 S2 M3960OXUnit Test

Unit Test — Cumulative exam Answers

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Law of sines:

Question illustration
A
c = StartFraction (3) sine (40 degrees) Over sine (45 degrees) EndFraction
Option A
B
c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction
Option B
C
c = StartFraction sine (40 degrees) Over (3) sine (45 degrees) EndFraction
Option C
D
c = StartFraction sine (45 degrees) Over (3) sine (40 degrees)
Option D
42
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Which three-dimensional figure has half the number of vertices as the rectangular prism?

A
hexagonal prism
B
rectangular pyramid
C
triangular prism
D
triangular pyramid
43

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).
Option A
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).
Option B
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).
Option C
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).
Option D
44

To produce the graph of the function , what transformations should be applied to the graph of the parent function ?

Question illustration
A
a horizontal compression to produce a period of and a vertical compression
Option A
B
a horizontal compression to produce a period of and a vertical stretch
Option B
C
a horizontal stretch to produce a period of and a vertical compression
Option C
D
a horizontal stretch to produce a period of and a vertical stretch
Option D
45

For which value of is csc () undefined?

Question illustration
A
0
B
StartFraction pi Over 2 EndFraction
Option B
C
StartFraction 3 pi Over 2 EndFraction
Option C
D
StartFraction 7 pi Over 2 EndFraction
Option D
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.
Option A
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.
Option B
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.
Option C
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.
Option D
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 =

Question illustration
A
16 square centimeters
B
30 square centimeters
C
56 square centimeters
D
60 square centimeters
48

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
49

The box plots below show the ages of college students in different math courses. Math 1 Math 2Which statement is true?

Question illustration
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?

Question illustration
A
Negatively skewed
B
Normal, symmetrical distribution
C
Positively skewed distribution
D
None of the above
51

Law of sines:

Question illustration
A
No triangles can be formed.
B
One triangle can be formed where angle B is about 15°.
C
One triangle can be formed where angle B is about 40°.
D
Two triangles can be formed where angle B is 40° or 140°.
52

A sphere with a diameter of 9 units fits exactly in the clear glass cube as shown.

Question illustration
A
π(4.53) – (4.5)3
Option A
B
(9)3 – π(4.52)
Option B
C
π(4.53) – (9)3
Option C
D
(9)3 – π(4.53)
Option D
53

The graph of a logarithmic function is shown below.What is the domain of the function?

Question illustration
A
x < 0
B
x > 0
C
x < 1
D
all real numbers
54

The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. The linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. According to the model, for what price is each comb being sold?

Question illustration
A
$0.03
B
$0.50
C
$0.95
D
$2.00
55

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
56

Two students created a game of dice. They determined that each roll would add the value of the die if it was an odd number. If the roll was even, it would subtract the value of the die. (For example, a roll of 2 would subtract two points, but a roll of 3 would add three points.) What is the expected value for this game?

A
–3
B
–0.5
C
0
D
0.5
57

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
58

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.
59

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
60

If , what is the value of c?

Question illustration
A
1
B
2
C
3
D
5

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