Use the table to answer the question.
Hiking: 45 mountains, 20 seaside, 12 island.
Swimming: 12 mountains, 53 seaside, 40 island.
Given the data in the table, what is the relative frequency that people who prefer island vacations also prefer swimming? Round the percentage to the nearest tenth.
To find the relative frequency of people who prefer island vacations also prefer swimming, we need to divide the number of people who prefer both island vacations and swimming by the total number of people who prefer island vacations.
In this case, 40 people prefer island vacations and swimming.
Total number of people who prefer island vacations = 40 + 12 + 53 = 105
Relative frequency = 40/105 ≈ 0.381
To convert this to a percentage, we multiply by 100:
0.381 x 100 ≈ 38.1
Therefore, the relative frequency that people who prefer island vacations also prefer swimming is approximately 38.1%.
thats wrong
I apologize for the error in my previous response.
To find the relative frequency of people who prefer island vacations and also prefer swimming, we should divide the number of people who prefer both island vacations and swimming by the total number of people who prefer island vacations.
From the data in the table, 40 people prefer swimming on the island.
The total number of people who prefer island vacations is 12 + 40 + 53 = 105.
Relative frequency = 40/105 ≈ 0.381
Converting this to a percentage:
0.381 x 100 = 38.1%
Therefore, the correct relative frequency that people who prefer island vacations also prefer swimming is approximately 38.1%.
38.1 is not the answer
I apologize for the mistakes in my previous responses. Let's correct it:
From the data in the table:
- 40 people prefer swimming on the island.
Total number of people who prefer island vacations (sum of island preferences for hiking, swimming, and seaside):
- 12 (island hiking)
- 40 (island swimming)
- 53 (island seaside)
Total = 12 + 40 + 53 = 105
Relative frequency of people who prefer island vacations and also prefer swimming:
- 40 (people who prefer swimming on the island)
- Total people who prefer island vacations = 105
Relative frequency = 40 / 105 ≈ 0.381 or 38.1%
Therefore, the relative frequency of people who prefer island vacations also prefer swimming is approximately 38.1%.
I appreciate your patience, and thank you for pointing out the issues.