Answer :
To solve this problem, we need to find how many students out of the 20 surveyed used their computers and express this as a ratio.
1. Identify the Total Number of Students Surveyed:
Liliana surveyed 20 seventh-grade students.
2. Count the Students Who Used Their Computers:
We are given the data of how many hours each student spends on their computer per week:
`8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21`.
To find out how many students used their computers, count how many entries are greater than 0. This means we exclude any students who spend `0` hours on their computers.
- List of hours (excluding zeroes): `8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21`.
- Count these numbers: There are 18 non-zero entries.
3. Calculate the Ratio:
- Number of students who used their computers: 18.
- Total number of students surveyed: 20.
The ratio of students who used their computers to those surveyed is [tex]\(\frac{18}{20}\)[/tex].
4. Simplify the Ratio:
- Simplify [tex]\(\frac{18}{20}\)[/tex]. Both numbers are divisible by 2:
[tex]\[
\frac{18}{20} = \frac{18 \div 2}{20 \div 2} = \frac{9}{10}
\][/tex]
5. Select the Correct Answer:
The correct option for the ratio of students who used their computers to the total number of students surveyed is [tex]\(\frac{18}{20}\)[/tex] or simplified [tex]\(\frac{9}{10}\)[/tex]. This corresponds to the third option provided: [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
1. Identify the Total Number of Students Surveyed:
Liliana surveyed 20 seventh-grade students.
2. Count the Students Who Used Their Computers:
We are given the data of how many hours each student spends on their computer per week:
`8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21`.
To find out how many students used their computers, count how many entries are greater than 0. This means we exclude any students who spend `0` hours on their computers.
- List of hours (excluding zeroes): `8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21`.
- Count these numbers: There are 18 non-zero entries.
3. Calculate the Ratio:
- Number of students who used their computers: 18.
- Total number of students surveyed: 20.
The ratio of students who used their computers to those surveyed is [tex]\(\frac{18}{20}\)[/tex].
4. Simplify the Ratio:
- Simplify [tex]\(\frac{18}{20}\)[/tex]. Both numbers are divisible by 2:
[tex]\[
\frac{18}{20} = \frac{18 \div 2}{20 \div 2} = \frac{9}{10}
\][/tex]
5. Select the Correct Answer:
The correct option for the ratio of students who used their computers to the total number of students surveyed is [tex]\(\frac{18}{20}\)[/tex] or simplified [tex]\(\frac{9}{10}\)[/tex]. This corresponds to the third option provided: [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
