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

40%
40%

36.4%
36.4%

26.7%
26.7%

55%

11 answers

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

(40/310) x 100 ≈ 12.9%

Therefore, the relative frequency of the percent of 7th graders who prefer mountains is 12.9%, which is closest to 26.7%.
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

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

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

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

D. 70% of the people who preferred mountains were 8th graders.
To determine which of the following is a relative frequency that can be found with the table, we first need to calculate the relative frequencies for each statement:

A. 90% of 8th-grade campers preferred the seacoast.
This can be calculated by: (90 / 200) x 100 = 45%. This statement is not correct.

B. 40% of the people who preferred the seacoast were 7th graders.
This can be calculated by: (60 / 150) x 100 = 40%. This statement is correct.

C. 32% of 7th-grade campers preferred the mountains.
This can be calculated by: (40 / 100) x 100 = 40%. This statement is incorrect.

D. 70% of the people who preferred mountains were 8th graders.
This can be calculated by: (110 / 150) x 100 = 73.3%. This statement is not correct.

Therefore, the correct statement based on the relative frequencies is:
B. 40% of the people who preferred the seacoast were 7th graders.
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

A. 120.0%
B. 54.5%
C. 70.6%
D. 41.7%
To find the percentage chance that farmers with sandy soil prefer to grow carrots, we need to divide the number of farmers with sandy soil who prefer to grow carrots (120) by the total number of farmers with sandy soil (170) and multiply by 100 to get the percentage.

(120/170) x 100 ≈ 70.6%

Therefore, the percentage chance that farmers with sandy soil prefer to grow carrots is 70.6%, which is closest to option C.
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

A. 75.0%
B. 60.0%
C. 66.7%
D. 150.0%
To find the percentage chance that farmers with rocky soil prefer growing peppers, we need to divide the number of farmers with rocky soil who prefer to grow peppers (150) by the total number of farmers with rocky soil (250) and multiply by 100 to get the percentage.

(150/250) x 100 ≈ 60%

Therefore, the percentage chance that farmers with rocky soil prefer growing peppers is 60%, which is closest to option B.
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

A. 83.3%
B. 40.0%
C. 45.5%
D. 100.0%
To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to divide the number of farmers with rocky soil who prefer to grow carrots (100) by the total number of farmers who prefer to grow carrots (220) and multiply by 100 to get the percentage.

(100/220) x 100 ≈ 45.5%

Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 45.5%, which is closest to option C.
Are you sure that these answers are 100% correct it is very important that they are.
Let me reassess the calculation to ensure 100% accuracy based on the given data.

To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to focus on the proportion of farmers with rocky soil who prefer carrots out of all those who prefer carrots.

Given:
- Farmers with rocky soil who prefer carrots: 100
- Total farmers who prefer carrots: 220

Percentage chance = (100/220) x 100 ≈ 45.45%

Therefore, based on the calculations, the correct answer is indeed 45.5%, which aligns with option C.
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