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Answer :
Sure! Let's solve the problem step-by-step.
1. Understanding the question: We need to find the ratio of the number of students who used their computers to the total number of students surveyed. This means we should look at how many students actually spent non-zero hours on their computers.
2. Data given:
- Liliana surveyed 20 students.
- The hours each student spent on their computer are: 8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.
3. Identifying students who used computers:
- We need to count how many students have spent more than 0 hours on the computer. These are the students who actually used their computers.
- From the data, the students with non-zero hours are:
- 8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.
- There are 18 students who used their computers.
4. Total students surveyed:
- Liliana surveyed a total of 20 students.
5. Calculating the ratio:
- We find the ratio of students who used their computers to the total number of students surveyed.
- The ratio is:
[tex]\[
\frac{\text{Number of students who used computers}}{\text{Total number of students surveyed}} = \frac{18}{20}
\][/tex]
- To simplify this, divide both the numerator and the denominator by their greatest common divisor, which is 2:
[tex]\[
\frac{18}{20} = \frac{9}{10}
\][/tex]
6. Conclusion:
- The ratio of the total number of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex].
Therefore, the correct answer to the question is [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
1. Understanding the question: We need to find the ratio of the number of students who used their computers to the total number of students surveyed. This means we should look at how many students actually spent non-zero hours on their computers.
2. Data given:
- Liliana surveyed 20 students.
- The hours each student spent on their computer are: 8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.
3. Identifying students who used computers:
- We need to count how many students have spent more than 0 hours on the computer. These are the students who actually used their computers.
- From the data, the students with non-zero hours are:
- 8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.
- There are 18 students who used their computers.
4. Total students surveyed:
- Liliana surveyed a total of 20 students.
5. Calculating the ratio:
- We find the ratio of students who used their computers to the total number of students surveyed.
- The ratio is:
[tex]\[
\frac{\text{Number of students who used computers}}{\text{Total number of students surveyed}} = \frac{18}{20}
\][/tex]
- To simplify this, divide both the numerator and the denominator by their greatest common divisor, which is 2:
[tex]\[
\frac{18}{20} = \frac{9}{10}
\][/tex]
6. Conclusion:
- The ratio of the total number of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex].
Therefore, the correct answer to the question is [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
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