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Math 3 Final Review Trigonometry & Statistics

Total questions: 43

Worksheet time: 4hrs 35mins

Name
Class
Date
1.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
2.
What is the equation of the graph?
a)
 y = 2 cos x
b)
y = sin x
c)
y = 2 sin x
d)
y = sin 2x 
3.
What is the equation of graph? 
a)
y = sin 5x
b)
y =  cos 5x
c)
y = 5 sin x
d)
y = 5 cos x 
4.
What is the domain and range of y=sinx?
a)
D: (-∞, ∞)
R: [-1, 1]
b)
D: (-∞, ∞)
R: [-π, π]
c)
D: (∞, -∞)
R: [-1, 1]
d)
D: (-∞, ∞)
R: [-∞, ∞]
5.
What is the amplitude of the graph? 
a)
1
b)
3
c)
6
d)
9
6.
sin(5π/3)=
a)
1/2
b)
-√3/2
c)
√3/2
d)
-1/2
7.
Write the equation for a sine function with an amplitude of 6 and a period of π/4.
a)
y=6sin(8x)
b)
y=6sin8(x-1)
c)
y=6sin1/4x
d)
y=6sinx
8.
What is the range of
y= -3sin(x)-2?
a)
[-2,2]
b)
[-5,1]
c)
[-4,2]
d)
[-3,3]
9.
4π/3 is equal to how many degrees?
a)
60°
b)
240°
c)
300°
d)
120°
10.
What is the period of the function:
f(x) = 3sin(2θ) + 4
a)
π
b)
2π
c)
3π
d)
4π
11.
What is the frequency of the function:
f(x) = 3sin(2θ) + 4
a)
1/π
b)
1/2π
c)
1/3π
d)
1/4π
12.
What is the exact value of cos 315°
a)
-√2/2
b)
√2/2
c)
1/2
d)
√3/2
13.
What is the midline of the function:
f(x) = 3sin(2θ) − 4
a)
y = − 4
b)
y = 2
c)
y = 1/2
d)
y = 4
14.
a)
A
b)
B
c)
C
d)
D
15.
Which equation?
a)
y= cos2x
b)
y= (1/2)cosx
c)
y= cos(1/2)x
d)
y= 2cosx
16.
What is the period?
a)
3π/4
b)
π/2
c)
2π/3
d)
6π
17.
Write a sine function that has a frequency of 1/3, an amplitude of 1/4 and a mid line of y = −1/5
a)
f(x) = 1/4sin(1/3x)  − 1/5
b)
f(x) = 4sin(3x)  − 5
c)
f(x) = 1/4sin(6x)  − 1/5
d)
f(x) = 1/3sin(1/4x)  − 1/5
18.

When you leave a store and the cashier asks you to go to a website listed on the receipt to rate your satisfaction with their service, is a form of what type of sampling?

a)

Self Selected

b)

Convenience Sampling

c)

Simple Random Sampling

d)

Systematic Sampling

19.

Disneyland often surveys its guests as they exit a restaurant during their visit. The surveyor stands at the restaurant exit, counts the number of people leaving, and surveys every 25th guest.

This is a form of:

a)

Simple Random Sample

b)

Systematic Random Sample

c)

Voluntary Response

d)

Systematic Random Sampling

20.
To study the amount of time students spend doing homework each day, use a random number generator to select 25 freshmen, 25 sophomores, 25 juniors, and 25 seniors to survey.
a)
Convenience Sample
b)
Simple Random Sample
c)
Stratified Random Sample
d)
Interval Sample
21.
An independent research company wants to go door to door to survey people in the city of Fontana. The company decides to number all blocks within the city limit, randomly choose 50 blocks and survey all households on each selected block. 
This is an example of:
a)
Simple Random Sample
b)
Stratified Random Sample
c)
Cluster Random Sample
d)
Systematic Random Sampling
22.

In a(n) ___, every single person or item in a population is checked, tested, or asked.

a)

census

b)

sample survey

c)

experiment

d)

observational study

23.

In a(n) ___, researchers actually 'do something' to the subjects.

a)

observational study

b)

experiment

c)

census

d)

sample survey

24.
A radio station in Raleigh, NC wants to know the most popular song of the week. The DJ surveys random listeners who call in throughout the week. What is the population of the DJ’s survey?
a)
all the people in Raleigh, NC
b)
listeners of this radio station
c)
the listeners who call the station
d)
the most popular song of the week
25.

What is the margin of error for the interval (6.8, 12.9)?

a)

9.85

b)

3.05

c)

3.50

d)

6.8

26.
A 90% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was ($139,048, $154,144). Give a practical interpretation of the interval.
a)
90% of the sampled CEOs have salaries that fell in the interval $139,048 to $154,144
b)
We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144. 
c)
90% of all CEOs in the electronics industry have salaries that fall between $139,048 to $154,144
d)
We are 90% confident that the mean salary of the sampled CEOs falls in the interval $139,048 to $154,144.
27.
What is the exact value of cos 135°
a)
√2/2
b)
-√2/2
c)
√3/2
d)
-√3/2
28.
A restaurant chain wanted to find out how the customer experience was in a store.
Which choice best represents a statistic?
a)
The percentage of all customers that reported a positive experience.
b)
The percentage of customers surveyed that reported a  positive experience.
c)
All customers.
d)
A random selection of customers that were surveyed.
29.

Identify the population and the sample:

The average annual salary for 35 of a company's 1200 accountants is $68,000.

a)

Population: 1200

Sample: $68,000

b)

Population: 35

Sample: 1200

c)

Population: 1200

Sample: 35

d)

Population: $68,000

Sample: 1200

30.
Researchers have linked an increase in the incidence of breast cancer in Italy to dioxin released by an industrial accident in 1976. The study identified 981 women who lived near the site of the industrial explosion and were under age 40 at the time. Fifteen of the women had developed breast cancer, at an unusually young average age of 45. Medical records showed that these women had heightened concentrations of dioxin in their blood, and that each 10-fold increase in dioxin level was associated with a doubling of the risk of breast cancer. (Science News, Aug. 3, 2002)
a)
Observational Study
b)
Experiment
31.
Find a coterminal angle to -180 degrees.
a)
180
b)
90
c)
270
d)
360
32.

When will the next low tide occur? (assume x = 0 represents 12am)

a)

8am

b)

8pm

c)

4am

d)

4pm

33.

What is the equation of a trigonometric function with the following characteristics:

parent: cos(x)

|a|=4

period = π

h = left 4

k = up 1

a)

y = 4cos2(x - 4) + 1

b)

y = 4cos2(x + 4) + 1

c)

y = 2cos4(x - 1) - 4

d)

y = 2cos4x

34.
4π/3 is equal to how many degrees?
a)
60°
b)
240°
c)
300°
d)
120°
35.
What is the exact value of cos 315°
a)
-√2/2
b)
√2/2
c)
1/2
d)
√3/2
36.
What is the exact value of sin 240°
a)
-1/2
b)
-√3/2
c)
1/2
d)
√3/2
37.
sin(5π/3)=
a)
1/2
b)
-√3/2
c)
√3/2
d)
-1/2
38.
cos(5π/6)
a)
1/2
b)
-√3/2
c)
√3/2
d)
-1/2
39.
What is the frequency of the function:
f(x) = 3sin(2θ) + 4
a)
1/π
b)
1/2π
c)
1/3π
d)
1/4π
40.
What is the amplitude of the function:
f(x) = ⅔sin(⅕θ) + 4
a)
⅔
b)
⅕
c)
¾
d)
4
41.
What is the period?
a)
4π
b)
2π
c)
π
d)
8π
42.
a)
A
b)
B
c)
C
d)
D
43.
Write a cosine function that has a period of 4π, an amplitude of 3 and a mid line of y = 4
a)
f(x) = 3cos(1/2x) + 4
b)
f(x) = 2cos(2x) + 4
c)
f(x) = 3cos(4x) + 2
d)
f(x) = 4cos(3x) + 2

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