To find the joint relative frequency for school children who plan to attend camp and have swimming lessons, follow these steps:
1. Identify the Given Values:
- The number of students who plan to attend camp and have swimming lessons is given as [tex]\(42\)[/tex].
- The total number of students is given as [tex]\(96\)[/tex].
2. Calculate the Joint Relative Frequency:
- The formula for joint relative frequency is:
[tex]\[
\text{Joint Relative Frequency} = \left( \frac{\text{Number of students who plan to attend camp and have swimming lessons}}{\text{Total number of students}} \right) \times 100
\][/tex]
3. Substitute the Given Values into the Formula:
[tex]\[
\text{Joint Relative Frequency} = \left( \frac{42}{96} \right) \times 100
\][/tex]
4. Perform the Calculation:
- Divide [tex]\(42\)[/tex] by [tex]\(96\)[/tex] to get approximately [tex]\(0.4375\)[/tex].
- Multiply [tex]\(0.4375\)[/tex] by [tex]\(100\)[/tex] to convert it to a percentage. This gives approximately [tex]\(43.75\%\)[/tex].
5. Round to the Nearest Percent:
- The number [tex]\(43.75\)[/tex] rounded to the nearest percent is [tex]\(44\%\)[/tex].
Therefore, the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent, is [tex]\(44\%\)[/tex]. The correct answer is:
[tex]\[
\boxed{44\%}
\][/tex]
