Use the table to answer the question. The distribution of hiking and swimming inclinations across mountain, seashore, and island locales is displayed in the table. Preferences Mountains Seaside Island

Question

Hiking 45 20 12
Swimming 12 53 40 Given the data in the table, what is the relative frequency that the people who prefer hiking also prefer mountains? Round the percentage to the nearest tenth. (1 point) %

Answer 1

To find the relative frequency of people who prefer hiking and also prefer mountains, you need to use the formula for relative frequency:

\[ \text{Relative Frequency} = \frac{\text{Number of people who prefer hiking and mountains}}{\text{Total number of people who prefer hiking}} \]

From the table:

• Number of people who prefer hiking and mountains = 45
• Number of people who prefer hiking:
  • Mountains: 45
  • Seaside: 20
  • Island: 12

Calculating the total number of people who prefer hiking:

\[ \text{Total number of people who prefer hiking} = 45 + 20 + 12 = 77 \]

Now, substituting these values into the relative frequency formula:

\[ \text{Relative Frequency} = \frac{45}{77} \]

Now, to convert this to a percentage:

\[ \text{Relative Frequency as a percentage} = \left(\frac{45}{77}\right) \times 100 \approx 58.441% \]

Rounding to the nearest tenth:

\[ \approx 58.4% \]

So, the relative frequency that the people who prefer hiking also prefer mountains is 58.4%.