Use the table to answer the question.
Hiking: 45 mountains, 20 seaside, 12 island.
Swimming: 12 mountains, 53 seaside, 40 island.
Given the data and the table what is the relative frequency that people who prefer island vacations also prefer swimming around the percentage to the nearest 10th
To find the relative frequency that people who prefer island vacations also prefer swimming, we need to calculate the ratio of people who prefer island vacations AND swimming to the total number of people who prefer island vacations.
The number of people who prefer island vacations and swimming is 40.
The total number of people who prefer island vacations is 12 + 40 = 52.
Relative frequency = (people who prefer island vacations and swimming) / (total people who prefer island vacations)
Relative frequency = 40 / 52 = 0.7692
To convert this to a percentage to the nearest 10th, multiply by 100:
Relative frequency = 0.7692 * 100 = 76.9%
Therefore, the relative frequency that people who prefer island vacations also prefer swimming is 76.9% to the nearest 10th.