Question

Question

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

45.5%
45.5%

83.3%
83.3%

40.0%
40.0%

100.0%

Answer 1

To find the percentage chance that if a farmer prefers to grow carrots, they have rocky soil, we can use the formula for relative frequency:

\[ \text{Relative Frequency} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} \times 100 \]

In this case, the number of farmers who grow carrots in rocky soil is 100 (from the table). The total number of farmers who grow carrots, regardless of the soil type, is 220.

Now, we can calculate the relative frequency:

\[ \text{Relative Frequency} = \frac{100}{220} \times 100 \]

Calculating this gives:

\[ \text{Relative Frequency} = \frac{100}{220} \approx 0.4545 \]

Multiplying by 100 to convert to a percentage:

\[ 0.4545 \times 100 \approx 45.45% \]

Rounded to the nearest tenth, this is:

45.5%

Thus, the correct answer is:

45.5%