Answered

Given the frequency table, what percentage of the students that like rap are also in grades [tex]$9-10$[/tex]? Round to the nearest whole percent.

\begin{tabular}{|l|l|l|l|l|}
\hline \multicolumn{5}{|c|}{ Band Preference for School Dance } \\
\hline & Rap & Rock & Country & Row totals \\
\hline Grades 9-10 & 40 & 30 & 55 & 125 \\
\hline Grades 11-12 & 65 & 20 & 35 & 120 \\
\hline Column totals & 105 & 50 & 90 & 245 \\
\hline
\end{tabular}

A. [tex]$16 \%$[/tex]

B. [tex]$32 \%$[/tex]

C. [tex]$38 \%$[/tex]

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



Answer :

GinnyAnswer
To determine the percentage of students who like rap and are in grades 9-10, you can follow these steps:

1. Identify the relevant data:
- Number of students in grades 9-10 who like rap: [tex]\( 40 \)[/tex]
- Total number of students who like rap: [tex]\( 105 \)[/tex]

2. Calculate the percentage:
- The percentage is calculated by dividing the number of students in grades 9-10 who like rap by the total number of students who like rap.
- The formula for this calculation is:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of students who like rap in grades 9-10}}{\text{Total number of students who like rap}} \right) \times 100 \][/tex]
- Substituting the given values:
[tex]\[ \text{Percentage} = \left( \frac{40}{105} \right) \times 100 \approx 38.095238095238095 \][/tex]

3. Round to the nearest whole percent:
- Rounding [tex]\( 38.095238095238095 \)[/tex] to the nearest whole number gives [tex]\( 38 \)[/tex].

Therefore, the percentage of students that like rap and are also in grades 9-10 is [tex]\( 38\% \)[/tex].

Thus, the correct answer is [tex]\( 38\% \)[/tex].

Other Questions