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A teacher collected data from students to track whether they had completed the test review before their most recent test and whether they passed the test. The table below shows the relative frequencies.

\begin{tabular}{|c|l|l|l|}
\hline & Passed Test & Did Not Pass Test & Total \\
\hline Completed Test Review & [tex]$56 \%$[/tex] & [tex]$11 \%$[/tex] & [tex]$67 \%$[/tex] \\
\hline Did Not Complete Test Review & [tex]$12 \%$[/tex] & [tex]$21 \%$[/tex] & [tex]$33 \%$[/tex] \\
\hline Total & [tex]$68 \%$[/tex] & [tex]$32 \%$[/tex] & [tex]$100 \%$[/tex] \\
\hline
\end{tabular}

What percentage of students who completed the test review passed the test?

A. [tex]$83.58 \%$[/tex]

B. [tex]$82.35 \%$[/tex]

C. [tex]$68 \%$[/tex]

D. [tex]$56 \%$[/tex]



Answer :

GinnyAnswer
To determine the percentage of students who completed the test review and passed the test, follow these steps:

1. Identify the data needed from the table:
- The percentage of students who completed the test review and passed: \( 56\% \)
- The total percentage of students who completed the test review: \( 67\% \)

2. The required percentage is the proportion of students who completed the test review and passed, relative to all students who completed the test review. This is calculated as follows:
[tex]\[ \left( \frac{\text{Percentage of students who completed the test review and passed}}{\text{Total percentage of students who completed the test review}} \right) \times 100 \][/tex]

3. Substitute the identified data into the formula:
[tex]\[ \left( \frac{56\%}{67\%} \right) \times 100 = 83.5820895522388 \][/tex]

4. As a result, the percentage of students who completed the test review and passed the test is approximately \( 83.58\% \).

Thus, the correct answer to the question is:

[tex]\( 83.58\% \)[/tex]

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