The correct answer is A. 40%. The percentage of the people surveyed who are adults is 40%.
To find the percentage of adults surveyed, we need to consider the total number of people surveyed and the relative frequency of adults. The relative frequency table provides us with the necessary information.
From the table, we have the following relative frequencies:
- Adults who can swim: 0.34
- Adults who cannot swim: 0.06
- Children who can swim: 0.48
- Children who cannot swim: 0.12
The relative frequency of adults, regardless of their ability to swim, is the sum of the relative frequencies of adults who can swim and adults who cannot swim. Therefore, we add 0.34 (adults who can swim) and 0.06 (adults who cannot swim) to get the total relative frequency of adults:
[tex]\[ 0.34 + 0.06 = 0.40 \][/tex]
This means that 40% of the people surveyed are adults.
To confirm this, we can also look at the relative frequencies of children and ensure that they add up to 100% when combined with the adults' relative frequencies:
[tex]\[ 0.48 + 0.12 = 0.60 \][/tex]
This is the relative frequency of children, which is 60%. Since the total must be 100%, the adults and children together should account for all the surveyed individuals:
[tex]\[ 0.40 + 0.60 = 1.00 \][/tex]
This confirms that 40% of the surveyed individuals are adults, and 60% are children.
Therefore, the percentage of the people surveyed who are adults is 40%.
