A Summer camp offers two activities to male and female campers, a nature hike and canoeing. The two-way frequency table of the number of campers that signed up for each activity is given by:

Nature Hike Canoeing
Male 15 12
Female 20 8
What percent of campers participating in the nature hike are female?
Responses

71.4%

57.1%

42.9%

36.3%

The total number of campers participating in the nature hike is 15 + 20 = 35. The number of female campers who signed up for the nature hike is 20.

To find the percentage of campers participating in the nature hike that are female, we can use the formula:

(Female campers in nature hike / Total campers in nature hike) x 100

Plugging in the values, we get:

(20 / 35) x 100 = 57.1%

Therefore, the answer is option B, 57.1%.

To find the percentage of campers participating in the nature hike who are female, we need to calculate the ratio of females who signed up for the nature hike to the total number of campers who signed up for the nature hike.

First, let's find the total number of campers who signed up for the nature hike:
Male campers = 15
Female campers = 20
Total campers = 15 + 20 = 35

Next, let's find the number of females who signed up for the nature hike:
Female campers signed up for the nature hike = 20

Now, let's calculate the percentage of females who signed up for the nature hike:
Percentage = (Number of females who signed up for the nature hike / Total campers signed up for the nature hike) * 100
Percentage = (20 / 35) * 100
Percentage = 57.1%

Therefore, the correct answer is 57.1%.

To determine the percentage of campers participating in the nature hike who are female, we first need to find the total number of campers who signed up for the nature hike.

In the given two-way frequency table, we can see that for the nature hike, 15 males and 20 females signed up. So the total number of campers participating in the nature hike is 15 + 20 = 35.

Next, we'll determine the number of females who signed up for the nature hike. From the table, we see that 20 females signed up for the nature hike.

To find the percentage, we'll divide the number of females by the total number of campers participating in the nature hike, and then multiply by 100 to get the percentage.

(20/35) * 100 = 57.1%

Therefore, the percentage of campers participating in the nature hike who are female is 57.1%.

The correct answer is option B: 57.1%.