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Math Problems
Algebra 2
Experiment design
Freemont Run Club surveyed a random sample of
30
30
30
of their members about their running habits. Of the members surveyed,
9
9
9
said that they run more than
5
5
5
days a week. There are
84
84
84
Freemont Run Club members.
\newline
Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than
5
5
5
days a week?
\newline
Choose
1
1
1
answer:
\newline
(A)
25
25
25
\newline
(B)
30
30
30
\newline
(C)
39
39
39
\newline
(D)
59
59
59
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Katherine leans a
30
30
30
-foot ladder against a wall so that it forms an angle of
7
2
∘
72^{\circ}
7
2
∘
with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary.
\newline
□
\square
□
feet
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Rewrite the following without an exponent.
\newline
1
0
−
2
10^{-2}
1
0
−
2
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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Simplify. Write your answer using whole numbers and variables.
\newline
n
n
2
−
3
n
\frac{n}{n^2-3n}
n
2
−
3
n
n
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Choose one response that most appropriately answers each question. Please answer your question using only the information provided. You do not need to consider leap years in your calculations,
\newline
Parolee Guido is serving a four year parole period for a violent offense. A new law is implemented to change the parole period to five years with a maximum of seven years. His parole period has been changed to seven years What is the difference of his new parole petiod?
\newline
A.
5
5
5
years
\newline
B.
3
3
3
years
\newline
c.
7
7
7
years
\newline
D.
4
4
4
years
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Read the following description of an experiment.
\newline
A massage therapist has received complaints that the fragrance of her massage oil is unpleasant. She is testing whether a new oil will improve each clients' experience.
\newline
The massage therapist randomly sorts her clients into two groups. She massages
5
5
5
clients from the first group with the new oil and
5
5
5
from the other group with her usual oil. She asks all
10
10
10
clients to rate their massages.
\newline
Is this experiment statistically well designed?
\newline
Choices:
\newline
[A]yes
\newline
[B]no
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