Question
Carrots Peppers Totals
Sandy Soil 120
50
170
Rocky Soil 100
150
250
Totals
220
200
420
Determining the percentage of farmers with sandy soil who prefer producing carrots.
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)
• 70.6%
54.5%
120.0%
41.7%
Answers
GPT-4o mini
To find the percentage of farmers with sandy soil who prefer producing carrots, you can use the following formula for relative frequency:
\[ \text{Percentage} = \left( \frac{\text{Number of farmers with sandy soil who prefer carrots}}{\text{Total number of farmers with sandy soil}} \right) \times 100 \]
From the table provided:
- Number of farmers with sandy soil who prefer carrots = 120
- Total number of farmers with sandy soil = 170
Now, substitute these values into the formula:
\[ \text{Percentage} = \left( \frac{120}{170} \right) \times 100 \]
Calculating this:
\[ \text{Percentage} = 0.70588 \times 100 \approx 70.6\% \]
Thus, the percentage chance that farmers with sandy soil prefer to grow carrots is **70.6%**.
\[ \text{Percentage} = \left( \frac{\text{Number of farmers with sandy soil who prefer carrots}}{\text{Total number of farmers with sandy soil}} \right) \times 100 \]
From the table provided:
- Number of farmers with sandy soil who prefer carrots = 120
- Total number of farmers with sandy soil = 170
Now, substitute these values into the formula:
\[ \text{Percentage} = \left( \frac{120}{170} \right) \times 100 \]
Calculating this:
\[ \text{Percentage} = 0.70588 \times 100 \approx 70.6\% \]
Thus, the percentage chance that farmers with sandy soil prefer to grow carrots is **70.6%**.