Answered

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Miss Rose teaches three ballet classes. Her students' data are shown in the relative frequency table.

\begin{tabular}{|c|c|c|c|c|}
\hline & Beginner & Intermediate & Advanced & Total \\
\hline Boys & 0.15 & 0.2 & 0.05 & 0.4 \\
\hline Girls & 0.1 & 0.35 & 0.15 & 0.6 \\
\hline Total & 0.25 & 0.55 & 0.2 & 1.0 \\
\hline
\end{tabular}

Which statement is true?

A. [tex]$15\%$[/tex] of her students are boys.
B. [tex]$10\%$[/tex] of her students are in the beginner class.
C. [tex]$60\%$[/tex] of her students are girls.
D. [tex]$35\%$[/tex] of her students are in the intermediate class.

Sagot :

GinnyAnswer
To determine which statement is true based on the provided data of Miss Rose's ballet classes, let's analyze each option:

1. Statement A: [tex]$15 \%$[/tex] of her students are boys.
- The relative frequency table shows that 0.4 (or 40%) of the students are boys.
- Thus, this statement is false.

2. Statement B: [tex]$10 \%$[/tex] of her students are in the beginner class.
- The relative frequency table indicates that 0.25 (or 25%) of the students are in the beginner class.
- Therefore, this statement is false.

3. Statement C: [tex]$60 \%$[/tex] of her students are girls.
- According to the table, 0.6 (or 60%) of the students are girls.
- This confirms that the statement is true.

4. Statement D: [tex]$35 \%$[/tex] of her students are in the intermediate class.
- The table tells us that 0.55 (or 55%) of the students are in the intermediate class.
- Hence, this statement is false.

Based on our analysis:

- Statement A is false because 40% (not 15%) of the students are boys.
- Statement B is false because 25% (not 10%) of the students are in the beginner class.
- Statement C is true because 60% of the students are girls.
- Statement D is false because 55% (not 35%) of the students are in the intermediate class.

Therefore, the correct statement is:
C. [tex]$60 \%$[/tex] of her students are girls.
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