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Answer :
Step 1: Determine the total number of students surveyed.
Since Liliana surveyed 20 seventh-grade students, the total number of students is
[tex]$$
\text{Total students} = 20.
$$[/tex]
Step 2: Count the number of students who used their computers.
A student is considered to have used their computer if the number of hours is greater than zero. When we look at the list
[tex]$$
8,\, 15,\, 0,\, 11,\, 12,\, 13,\, 16,\, 13,\, 0,\, 4,\, 17,\, 14,\, 30,\, 13,\, 5,\, 12,\, 1,\, 13,\, 12,\, 21,
$$[/tex]
we see that there are two entries with [tex]$0$[/tex] hours. Thus, the number of students who used their computers is
[tex]$$
\text{Used students} = 20 - 2 = 18.
$$[/tex]
Step 3: Write the ratio of students who used their computers to the total number of students.
The ratio is
[tex]$$
\frac{18}{20}.
$$[/tex]
Step 4: Simplify the fraction.
Both the numerator and the denominator can be divided by their greatest common divisor, which is [tex]$2$[/tex]. Dividing both by [tex]$2$[/tex] gives:
[tex]$$
\frac{18 \div 2}{20 \div 2} = \frac{9}{10}.
$$[/tex]
Thus, 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]
Since Liliana surveyed 20 seventh-grade students, the total number of students is
[tex]$$
\text{Total students} = 20.
$$[/tex]
Step 2: Count the number of students who used their computers.
A student is considered to have used their computer if the number of hours is greater than zero. When we look at the list
[tex]$$
8,\, 15,\, 0,\, 11,\, 12,\, 13,\, 16,\, 13,\, 0,\, 4,\, 17,\, 14,\, 30,\, 13,\, 5,\, 12,\, 1,\, 13,\, 12,\, 21,
$$[/tex]
we see that there are two entries with [tex]$0$[/tex] hours. Thus, the number of students who used their computers is
[tex]$$
\text{Used students} = 20 - 2 = 18.
$$[/tex]
Step 3: Write the ratio of students who used their computers to the total number of students.
The ratio is
[tex]$$
\frac{18}{20}.
$$[/tex]
Step 4: Simplify the fraction.
Both the numerator and the denominator can be divided by their greatest common divisor, which is [tex]$2$[/tex]. Dividing both by [tex]$2$[/tex] gives:
[tex]$$
\frac{18 \div 2}{20 \div 2} = \frac{9}{10}.
$$[/tex]
Thus, 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]
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