To help her students prepare for a test, Ms. Anderson passed out a review sheet. After the test, she asked her students if they had completed the review sheet. This table shows some of the results.

Complete the table.
Completed the review Did not complete the review Total
Passed the test
19
8
27
Did not pass the test
21
10 11
Total 20
38
What percentage of students who passed the test completed the review sheet? Round your answer to the nearest tenth of a percent.

1 answer

To complete the table, we first need to fill in the missing values based on the provided information.

  1. Fill in the total for "Did not pass the test":

    • Total for "Did not pass the test" = Did not pass the test who completed + Did not pass the test who did not complete
    • \(21 + 11 = 32\)
  2. Now we can also confirm the total number of students:

    • The total number of students who passed the test = 27
    • The total number of students who did not pass the test = 32
    • Total = 27 + 32 = 59
  3. The completed table thus looks like this:

| | Completed the review | Did not complete the review | Total | |--------------------------|----------------------|-----------------------------|-------| | Passed the test | 19 | 8 | 27 | | Did not pass the test | 21 | 11 | 32 | | Total | 40 | 19 | 59 |

Now, to find the percentage of students who passed the test and completed the review sheet:

  • The number of students who passed the test and completed the review = 19
  • The total number of students who passed the test = 27

The percentage can be calculated as follows:

\[ \text{Percentage} = \left( \frac{\text{Number of students who passed and completed the review}}{\text{Total number of students who passed}} \right) \times 100 \]

\[ \text{Percentage} = \left( \frac{19}{27} \right) \times 100 \approx 70.37037037 \]

Rounding to the nearest tenth of a percent:

\[ \text{Percentage} \approx 70.4% \]

Thus, the percentage of students who passed the test and completed the review sheet is 70.4%.