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Math Problems
Precalculus
Interpret confidence intervals for population means
A company wants to study the effects of its new protein shake on muscle gain.
50
50
50
people who exercise regularly and
50
50
50
people who do not exercise regularly were selected for the study. The people who do not exercise regularly were given the shake, while the people who exercise regularly were not. The results showed that, on average, the group that received the shake did not gain any muscle mass. Based on the information provided, which of the following is an appropriate conclusion?
\newline
Choose
1
1
1
answer:
\newline
(A) The shake will not help anyone gain muscle mass.
\newline
(B) The shake can only help people who exercise regularly gain muscle mass.
\newline
(C) People who do not exercise regularly are likely to gain more muscle mass without the shake than with the shake.
\newline
(D) None of the conclusions are appropriate.
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A company wants to determine the effectiveness of its Spanish language learning app. The company studied a large random sample of first-year Spanish majors and found that, on average, students who used the app received higher grades in their Spanish classes than students who did not use the app. Based on the design and results of the study, which of the following is an appropriate conclusion?
\newline
Choose
1
1
1
answer:
\newline
(A) Using the app will improve the grades of any college student.
\newline
(B) Using the app will improve the grades of any Spanish major.
\newline
(C) Using the app is likely to improve the grades of firstyear Spanish majors.
\newline
(D) There is an association between using the app and higher grades in Spanish classes for first-year Spanish majors, but the effect of using the app is unclear.
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A study was conducted to determine the effect of sulfur on the taste of onions.
200
200
200
onion seeds of the same variety were selected at random. Half of the seeds were randomly assigned to be grown in soil treated to have lower sulfur content, and the other half were grown in untreated soil. In a blind taste test of the onions, tasters indicated that the onion grown in soil with lower sulfur content was sweeter. Based on the information provided, which of the following is a reasonable conclusion?
\newline
Choose
1
1
1
answer:
\newline
(A) The variety of onion seeds used produces the sweetest onions.
\newline
(B) For the variety of onion seeds used, onions grown in soil with lower sulfur content are likely to taste sweeter.
\newline
(C) Sulfur in soil improves the sugar production of onions.
\newline
(D) Sulfur content is the only determining factor of onion sweetness.
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In a
2021
2021
2021
online poll with
15
15
15
,
000
000
000
responses from US adults,
61
61
61
percent of US adults responded that they think they can win an unarmed fight against a goose. Based on the results of the poll, which of the following statements must be true?
\newline
I. About
61
61
61
percent of US adults have won unarmed fights against geese.
\newline
II. About
61
61
61
percent of the world adult population think they can win an unarmed fight against a goose.
\newline
III. If
15
15
15
,
000
000
000
randomly selected US adults were surveyed, about
61
61
61
percent of them would respond that they think they can win an unarmed fight against a goose.
\newline
Choose
1
1
1
answer:
\newline
(A) None
\newline
(B) III only
\newline
(C) I and II only
\newline
(D) II and III only
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A study was conducted to test a feed additive's ability to increase the milk production of dairy cows.
100
100
100
dairy cows between
2
2
2
and
3
3
3
years of age were selected at random. Half of the cows were randomly assigned to eat feed containing the additive, and the other half ate feed without the additive. The results showed that the cows that ate the additive produced significantly more milk than the cows that did not. Based on this information, which of the following is an appropriate conclusion?
\newline
Choose
1
1
1
answer:
\newline
(A) The feed additive will improve the milk production of any dairy cow that eats it.
\newline
(B) The feed additive is more effective at increasing the milk production of
2
2
2
- to
3
3
3
- year old dairy cows than dairy cows in other age groups.
\newline
(C) The feed additive is likely to increase the milk production of dairy cows between
2
2
2
and
3
3
3
years old.
\newline
(D) The feed additive is likely to have no effect on the milk production of dairy cows that are not between
2
2
2
and
3
3
3
years of age.
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A research study was conducted to determine if a gene therapy is successful in treating color blindness in mice. From a large population of mice with color blindness,
200
200
200
were selected at random. Half of the mice were randomly assigned to receive the therapy, and the other half did not. The results showed that
80
%
80 \%
80%
of the mice that received therapy had some of their ability to see color restored. Based on the design and results of the study, which of the following is an appropriate conclusion?
\newline
Choose
1
1
1
answer:
\newline
(A) The gene therapy is better at treating color blindness than other available treatments.
\newline
(B) The gene therapy is likely to fully restore the ability to see color for mice with color blindness.
\newline
(C) The gene therapy is likely to improve the ability to see color for mice with color blindness.
\newline
(D) The gene therapy will improve the ability to see color for humans with color blindness.
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A study was conducted on the effect of classical music on puzzle solving.
500
500
500
randomly selected college students were asked to solve a jigsaw puzzle. Half of them were randomly assigned to listen to classical music while solving, and the other half were not. On average, it took participants who were listening to classical music
25
25
25
seconds longer to solve their puzzles. Based on the information provided, which of the following is an appropriate conclusion for college students?
\newline
Choose
1
1
1
answer:
\newline
(A) Listening to classical music is likely to lengthen puzzle solving time.
\newline
(B) Listening to classical music is likely to shorten puzzle solving time.
\newline
(C) Listening to classical music is likely to lengthen the time needed for any activity.
\newline
(D) Classical music is the best genre of music to listen to for shortening puzzle solving time.
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The Quinn Public Interest Institute is studying transit proposals for a city. As part of its study, the institute distributed a survey about car ownership to
100
100
100
randomly chosen households in the surrounding metropolitan area. From the survey results, the institute calculated a
95
%
95\%
95%
confidence interval of for the mean number of cars owned by households in the area.
\newline
Is the following conclusion valid?
\newline
The average number of cars owned by households in the survey is between
2.9
2.9
2.9
and
3.1
3.1
3.1
.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Development officials in a large town in India are planning a new public housing development. To understand what home sizes are currently available to residents, they asked
100
100
100
randomly selected homeowners for the area of their homes in square meters. The officials found a
99
%
99\%
99%
confidence interval of for the mean area of homes in the town.
\newline
Is the following conclusion valid?
\newline
If
100
100
100
more samples are taken (with elements chosen randomly and independently), it is expected that the mean area of homes in the town would be in
99
99
99
of the computed
99
%
99\%
99%
confidence intervals.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
\newline
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A food magazine decided to test the accuracy of Chips-a-ton's slogan: ＂Two thousand chocolate chips in every bag.＂ Magazine employees counted the number of chocolate chips in
100
100
100
randomly selected Chips-a-ton bags. The magazine found a
90
%
90\%
90%
confidence interval of for the mean number of chocolate chips in Chips-a-ton bags.
\newline
Is the following conclusion valid?
\newline
If
100
100
100
more samples are taken (with elements chosen randomly and independently), it is expected that exactly
90
90
90
of them will each produce a
90
%
90\%
90%
confidence interval that contains its sample mean.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
\newline
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Rudolph Bulbs Inc. is testing the long term reliability of its holiday lights. They powered a random sample of
525
525
525
identical light strands from a recent production batch for
10
,
000
10,000
10
,
000
hours. Afterward, the number of dead bulbs in each strand was recorded. Based on the test, a
99
%
99\%
99%
confidence interval of was calculated for the mean number of dead bulbs in a light strand from the production batch after
10
,
000
10,000
10
,
000
hours.
\newline
Is the following conclusion valid?
\newline
If
100
100
100
more samples are taken (with elements chosen randomly and independently), it is expected that exactly
99
99
99
of them will each produce a
99
%
99\%
99%
confidence interval that contains its sample mean.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
\newline
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Tom owned an orange grove and wanted to know how productive his trees were. He randomly selected
175
175
175
trees in the grove and kept track of how many oranges each tree produced during one season. Tom found a
90
%
90\%
90%
confidence interval of for the mean number of oranges produced by his
175
175
175
trees that season.
\newline
Is the following conclusion valid?
\newline
There is a
90
%
90\%
90%
chance that the mean number of produced by his trees that season is in the interval .
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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A lighting company is estimating the life span of its new LED lightbulb. Company engineers randomly selected
775
775
775
lightbulbs from the first product shipment for testing and recorded the number of hours each selected lightbulb lasted. From the test results, the company estimated a
95
%
95\%
95%
confidence interval of for the mean life span of lightbulbs in the first shipment.
\newline
Is the following conclusion valid?
\newline
If
100
100
100
more samples are taken (with elements chosen randomly and independently), it is expected that exactly
95
95
95
of them will each produce a
95
%
95\%
95%
confidence interval that contains its sample mean.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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The director of a college orchestra is building a case for donors to continue their support. To start, she gave a survey to
50
50
50
randomly chosen students at the college about their concert attendance. From the survey results, the director calculated a
90
%
90\%
90%
confidence interval of for the mean number of classical music concerts students at her college attended last year.
\newline
Is the following conclusion valid?
\newline
There is a
90
%
90\%
90%
chance that the mean number of classical music concerts attended by students last year is in the interval .
\newline
Choices:
\newline
(A)yes
\newline
(B)no
\newline
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Bryan is convinced that the German novel he just finished reading has some of the longest sentences he has ever encountered. To prove this to his friends, he randomly selected
100
100
100
sentences in the novel and noted the number of words in each. Bryan found a
95
%
95\%
95%
confidence interval of for the mean number of words in sentences from the novel.
\newline
Is the following conclusion valid?
\newline
If Bryan takes another random sample, there is a
95
%
95\%
95%
chance that the mean number of words in sentences from the novel will be in the new sample's
95
%
95\%
95%
confidence interval.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
\newline
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An inspector at the Yummy Treat candy factory wanted to make sure the chocolate bonbons it produces weigh the correct amount. On a particular day, he weighed
75
75
75
randomly selected bonbons from the production line. From the data, the inspector calculated a
99
%
99\%
99%
confidence interval of for the mean weight of bonbons produced that day (in grams).
\newline
Is the following conclusion valid?
\newline
If
100
100
100
more samples are taken (with elements chosen randomly and independently), it is expected that exactly
99
99
99
of them will each produce a
99
%
99\%
99%
confidence interval that contains its sample mean.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
\newline
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A linguist is interested in current baby name trends in Butler County. She is particularly interested in name length. To begin her study, she noted the number of letters in the first names of
375
375
375
randomly selected babies born in Butler County last year. The linguist found a
95
%
95\%
95%
confidence interval of for the mean length of baby names in Butler County last year.
\newline
Is the following conclusion valid?
\newline
There is a
95
%
95\%
95%
chance that the mean length of baby names in Butler County last year is in the interval .
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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A physical trainer is designing a fitness program for middle-aged men. She asked a random sample of
125
125
125
men in their
40
s
40s
40
s
to report how far they could jump in centimeters from a standstill. The trainer computed a
90
%
90\%
90%
confidence interval of for the mean jump distance for men in their
40
s
40s
40
s
.
\newline
Is the following conclusion valid?
\newline
There is a
90
%
90\%
90%
chance that the mean long jump distance for men in their
40
s
40s
40
s
is in the interval .
\newline
Choices:
\newline
(A)yes
\newline
(B)no
\newline
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Managers at Ken's Sporting Goods are concerned that the dumbbells from one of the store's new suppliers are poorly made. To investigate, the managers used a precision scale to weigh a random sample of
50
50
50
weights labeled ＂
30
kg
30\,\text{kg}
30
kg
.＂ They computed a
95
%
95\%
95%
confidence interval of for the mean weight of ＂
30
kg
30\,\text{kg}
30
kg
＂ dumbbells from their new supplier (in kilograms).
\newline
Is the following conclusion valid?
\newline
If
100
100
100
more samples are taken (with elements chosen randomly and independently), it is expected that exactly
100
100
100
of them will each produce a
95
%
95\%
95%
confidence interval that contains its sample mean.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
\newline
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During a recent exhibit on the physics of football, volunteers at the local science museum conducted a survey of
575
575
575
randomly chosen visitors. The survey included questions about attendance at sporting events. The volunteers calculated a
90
%
90\%
90%
confidence interval of for the mean number of sporting events museum visitors attended last year.
\newline
Is the following conclusion valid?
\newline
If
100
100
100
more surveys are conducted (each using a sample with members chosen randomly and independently), it is expected that exactly
90
90
90
of them will each produce a
90
%
90\%
90%
confidence interval that contains its sample mean.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Theme park executives would like to know what age group to target with their advertisements. To begin, the executives collected the ages of
450
450
450
randomly selected attendees in one month. Analysis of the study produced a
99
%
99\%
99%
confidence interval of for the mean age of attendees at the theme park.
\newline
Is the following conclusion valid?
\newline
If the executives take another random sample, there is a
99
%
99\%
99%
chance that the mean age of attendees at the park will be in the new sample's
99
%
99\%
99%
confidence interval.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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A manager at the Mega Raisin Cereal company wants to confirm that there is an acceptable number of raisins in the company's family-sized boxes. He counted the number of raisins in
100
100
100
randomly sampled boxes from the Mega Raisin factory. From the collected data, he computed a
90
%
90\%
90%
confidence interval of for the mean number of raisins in family-sized boxes of Mega Raisin Cereal.
\newline
Is the following conclusion valid?
\newline
If
100
100
100
more samples are taken (with elements chosen randomly and independently), it is expected that exactly
100
100
100
of them will each produce a
90
%
90\%
90%
confidence interval that contains its sample mean.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
\newline
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Maureen is an epidemiologist interested in how the common cold impacts health clinics. She asked
225
225
225
randomly selected clinics across California for their patient data from one specific month. For each clinic, she looked at the number of patients who came in with a common cold that month. Maureen found a
90
%
90\%
90%
confidence interval of for the mean number of patients with a common cold who visited clinics in California that month.
\newline
Is the following conclusion valid?
\newline
If Maureen takes another random sample, there is a
90
%
90\%
90%
chance that the mean number of patients with a common cold who visited clinics in California that month will be in the new sample's
90
%
90\%
90%
confidence interval.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
\newline
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Researchers are concerned that an unhealthy salmon population in the Kayatoga River Valley would have devastating effects on local brown bear populations. To test the health of the salmon, the researchers weighed
50
50
50
randomly collected specimens from the Kayatoga River. They calculated a
99
%
99\%
99%
confidence interval of for the mean weight of salmon in the Kayatoga River (in kilograms).
\newline
Is the following conclusion valid?
\newline
If
100
100
100
more samples are taken (with elements chosen randomly and independently), it is expected that exactly
99
99
99
of them will each produce a
99
%
99\%
99%
confidence interval that contains its sample mean.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Residents of a small fishing village are gathering the largest clams they can find for an upcoming clam festival. To investigate the environmental impact of this event, activists measured the widths of
175
175
175
randomly selected clams from a local beach (in centimeters). From their measurements, the activists calculated a
95
%
95\%
95%
confidence interval of for the mean width of the clams from this beach.
\newline
Is the following conclusion valid?
\newline
There is a
95
%
95\%
95%
chance that the mean width of all clams from this beach is in the interval .
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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During archery practice one day, Sadie asked a friend to take a picture of the target after she shot each arrow. After practice, they measured the distance from the bull's-eye (in centimeters) in
100
100
100
randomly selected pictures. They found a
99
%
99\%
99%
confidence interval of for the mean distance from the bull's eye for the arrows Sadie shot that day.
\newline
Is the following conclusion valid?
\newline
If
100
100
100
more samples are taken (with elements chosen randomly and independently), it is expected that exactly
99
99
99
of them will each produce a
99
%
99\%
99%
confidence interval that contains its sample mean.
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Suppose
11
%
11\%
11%
of student veterans at a college are involved in sports. A random sample of
135
135
135
student veterans is taken. What is the mean of the sampling distribution for the proportion of veterans in sports at this college?
σ
(
@
)
\sigma^{(@)}
σ
(
@
)
When working with samples of size
135
135
135
, what is the standard error of the sampling distribution for the proportion of veterans in sports at this college? Round answer to
3
3
3
decimal places.
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A survey was given to a random sample of voters in the United States to ask about their preference for a presidential candidate. The survey reported a confidence interval that between
51.5
%
51.5 \%
51.5%
and
56.5
%
56.5 \%
56.5%
of the population preferred Candidate A. What is the margin of error on the survey? Do not write
±
\pm
±
on the margin of error.
\newline
Answer:________
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A survey was given to a random sample of voters in the United States to ask about their preference for a presidential candidate. The survey reported a confidence interval that between
31
%
31 \%
31%
and
35
%
35 \%
35%
of the population preferred Candidate A. What is the margin of error on the survey? Do not write
±
\pm
±
on the margin of error.
\newline
Answer:______
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A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The percentage of people who said the supported the plan to raise taxes was
63
%
63 \%
63%
. The margin of error for the survey was
5
%
5 \%
5%
. Write a confidence interval for the percentage of the population that favors the plan.
\newline
(______,______)
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A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The percentage of people who said the supported the plan to raise taxes was
34
%
34 \%
34%
. The margin of error for the survey was
4
%
4 \%
4%
. Write a confidence interval for the percentage of the population that favors the plan.
\newline
(________ ,_______)
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A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The percentage of people who said they favored the plan was
35
%
35 \%
35%
. The margin of error for the survey was
3
%
3 \%
3%
. Which of the following is a reasonable value for the actual percentage of the residents that support the tax plan?
\newline
32.4
%
32.4 \%
32.4%
\newline
39.4
%
39.4 \%
39.4%
\newline
30.8
%
30.8 \%
30.8%
\newline
38.8
%
38.8 \%
38.8%
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A survey was given to a random sample of voters in the United States to ask about their preference for a presidential candidate. The survey reported a confidence interval that between
47.5
%
47.5 \%
47.5%
and
50.5
%
50.5 \%
50.5%
of the population preferred Candidate A.
\newline
What is the margin of error on the survey? Do not write
±
\pm
±
on the margin of error.
\newline
Answer:________
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A survey was given to a random sample of voters in the United States to ask about their preference for a presidential candidate. The percentage of people who said they preferred Candidate A was
69
%
69 \%
69%
. The margin of error for the survey was
2
%
2 \%
2%
. Write a confidence interval for the percentage of the population that supports Candidate A.
\newline
(______,______)
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A survey was given to a random sample of voters in the United States to ask about their preference for a presidential candidate. The survey reported a confidence interval that between
65.5
%
65.5 \%
65.5%
and
72.5
%
72.5 \%
72.5%
of the population preferred Candidate A. What is the margin of error on the survey? Do not write
±
\pm
±
on the margin of error.
\newline
Answer:_____-
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A hockey team has
$
700
\$ 700
$700
to buy new jerseys. Ice-wear, a jersey supplier, charges
$
50
\$ 50
$50
per jersey. How many new jerseys can the team buy?
\newline
Complete the equation that models the
#
\#
#
of jerseys the team can afford
(
n
)
(n)
(
n
)
. Then, solve the equation. Write a conclusion to the problem.
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Jennica is training for a marathon. During her training, she does
10
k
m
10 \mathrm{~km}
10
km
runs and they typically take her
1
1
1
hour (
60
60
60
minutes) to complete. How long do you think it will take her to finish a full marathon
(
42
k
m
)
(42 \mathrm{~km})
(
42
km
)
?
\newline
Write down any assumptions you are making and show any calculations.
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Makayla spots an airplane on radar that is currently approaching in a straight line, and that fly directly overhead. The plane maintains a constant altitude of
5750
5750
5750
feet. Makayla initially measures an angle of elevation of
1
6
∘
16^{\circ}
1
6
∘
to the plane at point
A
A
A
. At some later time, she measur an angle of elevation of
3
1
∘
31^{\circ}
3
1
∘
to the plane at point
B
B
B
. Find the distance the plane traveled from point
A
A
A
to point
B
B
B
. Round your answer to the nearest foot if necessary.
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Which of these contexts describes a situation that is unlikely?
\newline
Rolling a multiple of
6
6
6
on a standard six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on green or red or blue.
\newline
Winning a raffle that sold a total of
100
100
100
tickets if you bought all the tickets.
\newline
Reaching into a bag full of
10
10
10
strawberry chews and
10
10
10
cherry chews without looking and pulling out a banana chew.
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Which of these contexts describes a situation that is unlikely?
\newline
Rolling a number between
1
1
1
and
6
6
6
(including
1
1
1
and
6
6
6
) on a standard six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue or green.
\newline
Winning a raffle that sold a total of
100
100
100
tickets if you bought
1
1
1
ticket.
\newline
Reaching into a bag full of
10
10
10
strawberry chews and
10
10
10
cherry chews without looking and pulling out a pineapple chew.
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Which of these contexts describes a situation that is likely?
\newline
Rolling an even number on a standard six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue.
\newline
Winning a raffle that sold a total of
100
100
100
tickets if you bought
90
90
90
tickets.
\newline
Reaching into a bag full of
10
10
10
strawberry chews and
10
10
10
cherry chews without looking and pulling out a pineapple chew.
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Which of these contexts describes a situation that is impossible?
\newline
Rolling an
8
8
8
on a standard six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green or blue.
\newline
Winning a raffle that sold a total of
100
100
100
tickets if you bought all the tickets.
\newline
Reaching into a bag full of
15
15
15
strawberry chews and
5
5
5
cherry chews without looking and pulling out a strawberry chew.
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Which of these contexts describes a situation that is impossible?
\newline
Rolling a number less than
6
6
6
on a standard six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or green.
\newline
Winning a raffle that sold a total of
100
100
100
tickets if you bought o tickets.
\newline
Reaching into a bag full of
15
15
15
strawberry chews and
5
5
5
cherry chews without looking and pulling out a strawberry chew.
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Which of these contexts describes a situation that is likely?
\newline
Rolling a
3
3
3
on a standard six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue or yellow.
\newline
Winning a raffle that sold a total of
100
100
100
tickets if you bought o tickets.
\newline
Reaching into a bag full of
15
15
15
strawberry chews and
5
5
5
cherry chews without looking and pulling out a strawberry chew.
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Which of these contexts describes a situation that is unlikely?
\newline
Rolling a
1
1
1
on a standard six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green or blue.
\newline
Winning a raffle that sold a total of
100
100
100
tickets if you bought all the tickets.
\newline
Reaching into a bag full of
19
19
19
strawberry chews and
1
1
1
cherry chew without looking and pulling out a banana chew.
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Which of these contexts describes a situation that is certain?
\newline
Rolling a number less than
6
6
6
on a standard six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on orange.
\newline
Winning a raffle that sold a total of
100
100
100
tickets if you bought all the tickets.
\newline
Reaching into a bag full of
10
10
10
strawberry chews and
10
10
10
cherry chews without looking and pulling out an orange chew.
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Which of these contexts describes a situation that is impossible?
\newline
Rolling a
4
4
4
on a standard six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green or blue.
\newline
Winning a raffle that sold a total of
100
100
100
tickets if you bought
50
50
50
tickets.
\newline
Reaching into a bag full of
3
3
3
strawberry chews and
17
17
17
cherry chews without looking and pulling out a banana chew.
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Which of these contexts describes a situation that is likely?
\newline
Rolling an even number on a standard six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow.
\newline
Winning a raffle that sold a total of
100
100
100
tickets if you bought
1
1
1
ticket.
\newline
Reaching into a bag full of
1
1
1
strawberry chew and
19
19
19
cherry chews without looking and pulling out a cherry chew.
Get tutor help
Which of these contexts describes a situation that is impossible?
\newline
Rolling a
7
7
7
on a standard six-sided die, numbered from
1
1
1
to
6
6
6
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on green.
\newline
Winning a raffle that sold a total of
100
100
100
tickets if you bought
90
90
90
tickets.
\newline
Reaching into a bag full of
1
1
1
strawberry chew and
19
19
19
cherry chews without looking and pulling out a strawberry chew.
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Eric measures a line to be
9.38
f
t
9.38 \mathrm{ft}
9.38
ft
long. If the actual measurement is
9
f
t
9 \mathrm{ft}
9
ft
, find Eric's relative error to the nearest thousandth.
\newline
Answer:
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