Question

Use the table to answer the question.

Students Seacoast Mountains Totals
7th Grade 70 40 110
8th Grade 90 110 200
Totals 160 150 310
Determine the relative frequency of the percent of 7th graders who prefer mountains. Round the percentage to the nearest tenth.

(1 point)
Responses

36.4%
36.4%

26.7%
26.7%

55%
55%

40%
40%

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the relative frequency of the percent of 7th graders who prefer mountains, you would divide the number of 7th graders who prefer mountains (40) by the total number of students (310) and then multiply by 100 to get the percentage.

(40/310) * 100 = 12.9%

So, the relative frequency of the percent of 7th graders who prefer mountains is 12.9%, which when rounded to the nearest tenth is 13.0%.

Answer 2

Use the table to answer the question.

Students Seacoast Mountains Totals
7th Grade 60 40 100
8th Grade 90 110 200
Totals 150 150 300
Gloria surveyed all of the campers to determine their preferred field trip. The results are displayed in the table. Which of the following is a relative frequency that can be found with the table? Round the percentage to the nearest tenth.

(1 point)
Responses

70% of the people who preferred mountains were 8th graders.
70% of the people who preferred mountains were 8th graders.

40% of the people who preferred the seacoast were 7th graders.
40% of the people who preferred the seacoast were 7th graders.

32% of 7th-grade campers preferred the mountains.
32% of 7th-grade campers preferred the mountains.

90% of 8th-grade campers preferred the seacoast.
90% of 8th-grade campers preferred the seacoast.

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the relative frequency that can be found with the table, we can look at the percentage of 7th-grade campers who preferred the mountains.

The total number of 7th-grade campers is 100, and the number of 7th-grade campers who preferred mountains is 40.

Relative frequency = (Number of 7th-grade campers who preferred mountains / Total number of 7th-grade campers) * 100
Relative frequency = (40 / 100) * 100 = 40%

Therefore, the relative frequency that can be found with the table is:
40% of the people who preferred the seacoast were 7th graders.

Answer 4

Use the table to answer the question.

Carrots Peppers Totals
Sandy Soil 120 50 170
Rocky Soil 100 150 250
Totals 220 200 420
Examine the data from a survey of farmers about their different soil types and the crops they prefer to grow. Using relative frequencies, what is the percentage chance that farmers with sandy soil prefer to grow carrots? Round your answer to the nearest tenth.

(1 point)
Responses

70.6%
70.6%

41.7%
41.7%

120.0%
120.0%

54.5%

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the percentage chance that farmers with sandy soil prefer to grow carrots, you need to calculate the relative frequency by dividing the number of farmers with sandy soil who prefer to grow carrots by the total number of farmers with sandy soil.

Number of farmers with sandy soil who prefer carrots = 120
Total number of farmers with sandy soil = 170

Relative frequency = (Number of farmers with sandy soil who prefer carrots / Total number of farmers with sandy soil) * 100
Relative frequency = (120 / 170) * 100
Relative frequency ≈ 70.6%

Therefore, the percentage chance that farmers with sandy soil prefer to grow carrots is approximately 70.6%.

Answer 6

Use the table to answer the question.

Carrots Peppers Totals
Sandy Soil 120 50 170
Rocky Soil 100 150 250
Totals 220 200 420
Examine the data from a survey of farmers about their different soil types and the crops they prefer to grow. Using relative frequencies, what is the percentage chance that farmers with rocky soil prefer growing peppers? Round your answer to the nearest tenth.

(1 point)
Responses

75.0%
75.0%

60.0%
60.0%

66.7%
66.7%

150.0%

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the percentage chance that farmers with rocky soil prefer growing peppers, we need to calculate the relative frequency by dividing the number of farmers with rocky soil who prefer peppers by the total number of farmers with rocky soil.

Number of farmers with rocky soil who prefer peppers = 150
Total number of farmers with rocky soil = 250

Relative frequency = (Number of farmers with rocky soil who prefer peppers / Total number of farmers with rocky soil) * 100
Relative frequency = (150 / 250) * 100
Relative frequency ≈ 60.0%

Therefore, the percentage chance that farmers with rocky soil prefer growing peppers is approximately 60.0%.

Answer 8

Use the table to answer the question.

Carrots Peppers Totals
Sandy Soil 120 50 170
Rocky Soil 100 150 250
Totals 220 200 420
Examine the data from a survey of farmers about their different soil types and the crops they prefer to grow. Using relative frequencies, what is the percentage chance that if a farmer prefers to grow carrots they have rocky soil? Round your answer to the nearest tenth.

(1 point)
Responses

40.0%
40.0%

100.0%
100.0%

45.5%
45.5%

83.3%
83.3%

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to calculate the relative frequency by dividing the number of farmers with rocky soil who prefer carrots by the total number of farmers who prefer carrots.

Number of farmers with rocky soil who prefer carrots = 100
Total number of farmers who prefer carrots = 220

Relative frequency = (Number of farmers with rocky soil who prefer carrots / Total number of farmers who prefer carrots) * 100
Relative frequency = (100 / 220) * 100
Relative frequency ≈ 45.5%

Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is approximately 45.5%.