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Math Problems
Precalculus
Experiment design
Thirty-three percent of all students at a high school like beef stew. Out of
30
30
30
students,
40
40
40
are selected randomly and asked whether they liked beef stew. If liking beef stew is a success, what is the probability of a failure for this binomial experiment?
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Jack has a bag that contains orange chews, lemon chews, and lime chews. He performs an experiment. Jack randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jack performs the experiment
58
58
58
times. The results are shown below:
\newline
A orange chew was selected
9
9
9
times.
\newline
A lemon chew was selected
35
35
35
times.
\newline
A lime chew was selected
14
14
14
times.
\newline
If the experiment is repeated
500
500
500
more times, about how many times would you expect Jack to remove a lime chew from the bag? Round your answer to the nearest whole number.
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Taub has a bag that contains pineapple chews, cherry chews, and peach chews. She performs an experiment. Taub randomly removes a chew from the bag, records the result, and returns the chew to the bag. Taub performs the experiment
54
54
54
times. The results are shown below:
\newline
A pineapple chew was selected
35
35
35
times.
\newline
A cherry chew was selected
10
10
10
times.
\newline
A peach chew was selected
9
9
9
times.
\newline
If the experiment is repeated
800
800
800
more times, about how many times would you expect Taub to remove a cherry chew from the bag? Round your answer to the nearest whole number.
\newline
Answer:
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Elizabeth has a bag that contains orange chews, lemon chews, and lime chews. She performs an experiment. Elizabeth randomly removes a chew from the bag, records the result, and returns the chew to the bag. Elizabeth performs the experiment
68
68
68
times. The results are shown below:
\newline
A orange chew was selected
44
44
44
times.
\newline
A lemon chew was selected
17
17
17
times.
\newline
A lime chew was selected
7
7
7
times.
\newline
If the experiment is repeated
1800
1800
1800
more times, about how many times would you expect Elizabeth to remove a orange chew from the bag? Round your answer to the nearest whole number.
\newline
Answer:
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Rahul has a bag that contains strawberry chews, cherry chews, and lime chews. He performs an experiment. Rahul randomly removes a chew from the bag, records the result, and returns the chew to the bag. Rahul performs the experiment
76
76
76
times. The results are shown below:
\newline
A strawberry chew was selected
33
33
33
times.
\newline
A cherry chew was selected
8
8
8
times.
\newline
A lime chew was selected
35
35
35
times.
\newline
If the experiment is repeated
700
700
700
more times, about how many times would you expect Rahul to remove a lime chew from the bag? Round your answer to the nearest whole number.
\newline
Answer:
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Taub has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Taub randomly removes a chew from the bag, records the result, and returns the chew to the bag. Taub performs the experiment
69
69
69
times. The results are shown below:
\newline
A orange chew was selected
57
57
57
times.
\newline
A apple chew was selected
8
8
8
times.
\newline
A lime chew was selected
4
4
4
times.
\newline
If the experiment is repeated
2000
2000
2000
more times, about how many times would you expect Taub to remove a apple chew from the bag? Round your answer to the nearest whole number.
\newline
Answer:
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Jonathan has a bag that contains pineapple chews, cherry chews, and watermelon chews. He performs an experiment. Jonathan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jonathan performs the experiment
22
22
22
times. The results are shown below:
\newline
A pineapple chew was selected
5
5
5
times.
\newline
A cherry chew was selected
13
13
13
times.
\newline
A watermelon chew was selected
4
4
4
times.
\newline
Based on these results, express the probability that the next chew Jonathan removes from the bag will be cherry or watermelon as a fraction in simplest form.
\newline
Answer:
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Magan has a bag that contains pineapple chews, lemon chews, and watermelon chews. He performs an experiment. Magan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Magan performs the experiment
46
46
46
times. The results are shown below:
\newline
A pineapple chew was selected
13
13
13
times.
\newline
A lemon chew was selected
21
21
21
times.
\newline
A watermelon chew was selected
12
12
12
times.
\newline
Based on these results, express the probability that the next chew Magan removes from the bag will be pineapple or watermelon as a percent to the nearest whole number.
\newline
Answer:
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