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Ms. Stewart teaches three science classes. Her students are freshmen and sophomores. Her student data are shown in the relative frequency table.

\begin{tabular}{|c|c|c|c|c|}
\hline & Biology & Chemistry & \begin{tabular}{c}
Physical \\
science
\end{tabular} & Total \\
\hline Freshman & 0.15 & 0.1 & 0.2 & 0.45 \\
\hline Sophomores & 0.2 & 0.25 & 0.1 & 0.55 \\
\hline Total & 0.35 & 0.35 & 0.3 & 1.0 \\
\hline
\end{tabular}

Which statement is false?
A. [tex]$35 \%$[/tex] of her students are in biology.
B. [tex]$35 \%$[/tex] of her students are in chemistry.
C. [tex]$55 \%$[/tex] of her students are sophomores.
D. [tex]$20 \%$[/tex] of her students are in physical science.

Sagot :

GinnyAnswer
To determine which statement is false, we need to review the data presented in the table and compare each statement to the information given:

### Review of the Table

[tex]\[ \begin{tabular}{|c|c|c|c|c|} \hline & Biology & Chemistry & \begin{tabular}{c} Physical \\ science \end{tabular} & Total \\ \hline Freshman & 0.15 & 0.1 & 0.2 & 0.45 \\ \hline Sophomores & 0.2 & 0.25 & 0.1 & 0.55 \\ \hline Total & 0.35 & 0.35 & 0.3 & 1.0 \\ \hline \end{tabular} \][/tex]

### Assess Each Statement

Statement A: [tex]\(35\% \)[/tex] of her students are in biology.

- From the table, the total percentage of students in biology is given as 0.35 (or 35%).

Therefore, Statement A is true.

Statement B: [tex]\( 35\% \)[/tex] of her students are in chemistry.

- From the table, the total percentage of students in chemistry is 0.35 (or 35%).

Therefore, Statement B is true.

Statement C: [tex]\( 55\% \)[/tex] of her students are sophomores.

- From the table, the total percentage of sophomores is 0.55 (or 55%).

Therefore, Statement C is true.

Statement D: [tex]\( 20\% \)[/tex] of her students are in physical science.

- From the table, the total percentage of students in physical science is 0.3 (or 30%).

Therefore, Statement D is false.

### Conclusion

Based on the information from the table, the false statement is:

D. [tex]\( 20\% \)[/tex] of her students are in physical science.
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