se the table to answer the question.

Question

Determining the proportion of seventh-graders who favor mountains.
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

26.7%
26.7%

55%
55%

36.4%
36.4%

40%
Use the table to answer the question.

Calculating the survey's relative frequency.
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

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

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

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

40% of the people who preferred the seacoast were 7th graders.
Use the table to answer the question.

Determining the percentage of farmers with sandy soil who prefer producing carrots.
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

120.0%
120.0%

54.5%
54.5%

41.7%
41.7%

70.6%
Use the table to answer the question.

Figuring out what proportion of rocky-soil farmers choose to produce peppers.
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

66.7%
66.7%

60.0%
60.0%

150.0%
150.0%

75.0%

Answer 1

Let's answer each question step by step:

1. Determining the relative frequency of the percent of 7th graders who prefer mountains:

   • The number of 7th graders who prefer mountains is 40.
   • The total number of 7th graders is 110.
   • To find the proportion: \[ \text{Proportion} = \frac{40}{110} \approx 0.3636 \]
   • To convert it to a percentage: \[ 0.3636 \times 100 \approx 36.4% \]

   The correct answer is 36.4%.

2. Calculating the survey's relative frequency:

   • Option: 70% of the people who preferred mountains were 8th graders.
   • The number of 8th graders who preferred mountains is 110.
   • The total number of students who preferred mountains is 150.
   • To find the proportion: \[ \text{Proportion} = \frac{110}{150} \approx 0.7333 \]
   • To convert it to a percentage: \[ 0.7333 \times 100 \approx 73.3% \]
   • Since none of the options matched the calculation directly, we analyze option 70% of the people who preferred mountains were 8th graders.

   Thus, the option with relative frequency is 70% of the people who preferred mountains were 8th graders.

3. Examine the percentage chance that farmers with sandy soil prefer to grow carrots:

   • The number of sandy soil farmers who prefer carrots is 120.
   • The total number of farmers with sandy soil is 170.
   • To find the proportion: \[ \text{Proportion} = \frac{120}{170} \approx 0.7059 \]
   • To convert it to a percentage: \[ 0.7059 \times 100 \approx 70.6% \]

   The correct answer is 70.6%.

4. What proportion of rocky-soil farmers choose to produce peppers:

   • The number of rocky soil farmers who prefer peppers is 150.
   • The total number of farmers with rocky soil is 250.
   • To find the proportion: \[ \text{Proportion} = \frac{150}{250} = 0.6 \]
   • To convert it to a percentage: \[ 0.6 \times 100 = 60% \]

   The correct answer is 60.0%.

Summary of answers:

1. 36.4%
2. 70% of the people who preferred mountains were 8th graders.
3. 70.6%
4. 60.0%