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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.

[tex]\[
\begin{tabular}{|c|c|c|c|}
\hline & Can swim & Cannot swim & Total \\
\hline Adults & 0.34 & 0.06 & 0.40 \\
\hline Children & 0.48 & 0.12 & 0.60 \\
\hline Total & 0.82 & 0.18 & 1.00 \\
\hline
\end{tabular}
\][/tex]

What percentage of the people surveyed cannot swim?

A. [tex]$12 \%$[/tex]

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

C. [tex]$40 \%$[/tex]

D. [tex]$6 \%$[/tex]


Sagot :

To determine the percentage of people surveyed who cannot swim, we need to analyze the given relative frequencies.

1. Adults:
- Fraction of adults who can swim: 0.34
- Fraction of adults who cannot swim: 0.06

2. Children:
- Fraction of children who can swim: 0.48
- Fraction of children who cannot swim: 0.12

Next, we sum up the fractions of adults and children who cannot swim:

[tex]\[ \text{Fraction of adults who cannot swim} + \text{Fraction of children who cannot swim} = 0.06 + 0.12 \][/tex]

[tex]\[ 0.06 + 0.12 = 0.18 \][/tex]

Therefore, the combined fraction of people who cannot swim is 0.18. To convert this fraction into a percentage, we multiply by 100:

[tex]\[ 0.18 \times 100 = 18\% \][/tex]

Thus, the percentage of the people surveyed who cannot swim is [tex]\( 18\% \)[/tex].

The correct answer is: [tex]\( \text{B. } 18\% \)[/tex]
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