Answered

In a survey, 250 adults and children were asked whether they know how to swim. The survey data are shown in the relative frequency table.

\begin{tabular}{|c|c|c|c|}
\hline
& Can swim & Cannot swim & Total \\
\hline
Adults & 0.34 & 0.06 & \\
\hline
Children & 0.48 & 0.12 & \\
\hline
Total & & & \\
\hline
\end{tabular}

What percentage of the people surveyed can swim?

A. [tex]$34 \%$[/tex]

B. [tex]$18 \%$[/tex]

C. [tex]$48 \%$[/tex]

D. [tex]$82 \%$[/tex]



Answer :

GinnyAnswer
To determine the percentage of people surveyed who can swim, we need to follow these steps:

1. Identify the relative frequencies for adults and children who can swim:
- From the table, the relative frequency of adults who can swim is [tex]\(0.34\)[/tex].
- The relative frequency of children who can swim is [tex]\(0.48\)[/tex].

2. Calculate the total relative frequency of people who can swim:
- To find the total relative frequency of people who can swim, simply add the relative frequencies of adults and children who can swim:
[tex]\[ 0.34 + 0.48 = 0.82 \][/tex]

3. Convert the relative frequency to a percentage:
- To convert the total relative frequency to a percentage, multiply by 100:
[tex]\[ 0.82 \times 100 = 82\% \][/tex]

Thus, the percentage of people surveyed who can swim is [tex]\(\boxed{82\%}\)[/tex]. The correct answer is:

D. [tex]\(82\%\)[/tex]

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