Answer :
Let's go through the solution step-by-step.
1. Identify the Total Number of Students Surveyed:
Liliana surveyed 20 seventh-grade students.
2. Determine the Number of Students Who Used Their Computers:
We need to find out how many students actually used their computers for more than 0 hours. Here are the given hours each student spent on their computers:
[tex]\[8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21\][/tex]
Count the number of entries where the number of hours is greater than 0:
- 8 is greater than 0
- 15 is greater than 0
- 0 is not counted
- 11 is greater than 0
- 12 is greater than 0
- 13 is greater than 0
- 16 is greater than 0
- 13 is greater than 0
- 0 is not counted
- 4 is greater than 0
- 17 is greater than 0
- 14 is greater than 0
- 30 is greater than 0
- 13 is greater than 0
- 5 is greater than 0
- 12 is greater than 0
- 1 is greater than 0
- 13 is greater than 0
- 12 is greater than 0
- 21 is greater than 0
There are 18 students who used their computers.
3. Calculate the Ratio:
We now have 18 students who used their computers out of a total of 20 students surveyed. The ratio of students who used their computers to the total number of students surveyed is [tex]\(\frac{18}{20}\)[/tex].
4. Simplify the Ratio:
To simplify the fraction [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]
So, the simplified ratio of the number of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex]. This matches the option [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. Determine the Number of Students Who Used Their Computers:
We need to find out how many students actually used their computers for more than 0 hours. Here are the given hours each student spent on their computers:
[tex]\[8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21\][/tex]
Count the number of entries where the number of hours is greater than 0:
- 8 is greater than 0
- 15 is greater than 0
- 0 is not counted
- 11 is greater than 0
- 12 is greater than 0
- 13 is greater than 0
- 16 is greater than 0
- 13 is greater than 0
- 0 is not counted
- 4 is greater than 0
- 17 is greater than 0
- 14 is greater than 0
- 30 is greater than 0
- 13 is greater than 0
- 5 is greater than 0
- 12 is greater than 0
- 1 is greater than 0
- 13 is greater than 0
- 12 is greater than 0
- 21 is greater than 0
There are 18 students who used their computers.
3. Calculate the Ratio:
We now have 18 students who used their computers out of a total of 20 students surveyed. The ratio of students who used their computers to the total number of students surveyed is [tex]\(\frac{18}{20}\)[/tex].
4. Simplify the Ratio:
To simplify the fraction [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]
So, the simplified ratio of the number of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex]. This matches the option [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
