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)
To find the percentage chance that a farmer who prefers to grow carrots has rocky soil, we need to calculate the relative frequency.
The relative frequency represents the proportion of farmers who prefer to grow carrots and have rocky soil out of the total number of farmers who prefer to grow carrots.
The total number of farmers who prefer to grow carrots is 220. Out of those 220 farmers, 100 have rocky soil.
To find the relative frequency, we divide the number of farmers who prefer to grow carrots and have rocky soil (100) by the total number of farmers who prefer to grow carrots (220):
Relative Frequency = (Number of farmers who prefer to grow carrots and have rocky soil) / (Total number of farmers who prefer to grow carrots) = 100 / 220 = 0.4545
To convert the relative frequency to a percentage, we multiply it by 100:
Percentage = 0.4545 * 100 = 45.45
Rounded to the nearest tenth, the percentage chance that a farmer who prefers to grow carrots has rocky soil is 45.5%.