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)Responses45.5%45.5%40.0% 40.0% 100.0%100.0%83.3%
To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to look at the relative frequency of farmers who prefer to grow carrots and have rocky soil.
From the given data:
- 45.5% of farmers prefer to grow carrots
- 40.0% of farmers have rocky soil
- 40.0% of farmers who prefer carrots have rocky soil
To find the percentage chance, we multiply the percentage of farmers who prefer carrots by the percentage of farmers with rocky soil who also prefer carrots:
45.5% * 40.0% = 18.2%
Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 18.2%.
wrong answer choices are
45.5
40.0
100.0
83.3
To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to use the relative frequency of farmers who prefer to grow carrots and have rocky soil.
From the given data:
- The relative frequency of farmers who prefer to grow carrots is 45.5%
- The relative frequency of farmers with rocky soil is 40.0%
- The relative frequency of farmers who prefer carrots and have rocky soil is 40.0%
To find the percentage chance, we divide the relative frequency of farmers who prefer carrots and have rocky soil by the relative frequency of farmers who prefer carrots:
40.0% / 45.5% ≈ 0.879
Converting this to a percentage, we get 87.9%.
Therefore, the percentage chance that if a farmer prefers to grow carrots they have rocky soil is 87.9% (rounded to the nearest tenth).