Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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]


Sagot :

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]