Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.