Answer :
To find the ratio of the number of students who used their computers to the total number of students surveyed, follow these steps:
1. Review the Survey Results:
Liliana surveyed 20 seventh-grade students and recorded how many hours each spent on their computers each week. The results are:
[tex]\(8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21\)[/tex].
2. Identify Students Using Their Computers:
Count how many students spent at least 1 hour on their computer each week. This means we count each number in the list that is greater than 0.
3. Count:
From the results, the hours that are greater than 0 are:
[tex]\(8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21\)[/tex].
There are 18 such numbers.
4. Calculate the Ratio:
The total number of students surveyed is 20. The number of students who used their computers is 18.
The ratio of students who used their computers to the total number of students surveyed is:
[tex]\[
\frac{18}{20}
\][/tex]
5. Simplify the Ratio:
To simplify [tex]\(\frac{18}{20}\)[/tex], divide both the numerator and the denominator by their greatest common divisor, which is 2:
[tex]\[
\frac{18 \div 2}{20 \div 2} = \frac{9}{10}
\][/tex]
The ratio of students who used their computers to the total number surveyed is [tex]\(\frac{9}{10}\)[/tex]. Thus, the correct choice is [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
1. Review the Survey Results:
Liliana surveyed 20 seventh-grade students and recorded how many hours each spent on their computers each week. The results are:
[tex]\(8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21\)[/tex].
2. Identify Students Using Their Computers:
Count how many students spent at least 1 hour on their computer each week. This means we count each number in the list that is greater than 0.
3. Count:
From the results, the hours that are greater than 0 are:
[tex]\(8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21\)[/tex].
There are 18 such numbers.
4. Calculate the Ratio:
The total number of students surveyed is 20. The number of students who used their computers is 18.
The ratio of students who used their computers to the total number of students surveyed is:
[tex]\[
\frac{18}{20}
\][/tex]
5. Simplify the Ratio:
To simplify [tex]\(\frac{18}{20}\)[/tex], divide both the numerator and the denominator by their greatest common divisor, which is 2:
[tex]\[
\frac{18 \div 2}{20 \div 2} = \frac{9}{10}
\][/tex]
The ratio of students who used their computers to the total number surveyed is [tex]\(\frac{9}{10}\)[/tex]. Thus, the correct choice is [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
