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Answer :
Let's solve the problem step by step.
1. Understand the Problem: We need to find the ratio of students who use their computers each week to the total number of students surveyed.
2. Identify the Data:
Liliana surveyed 20 students with the following hours they spend on their computers each week:
8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.
3. Determine the Total Number of Students:
The total number of students surveyed is 20.
4. Count Students Using Their Computers:
We need to count how many students spend more than 0 hours on their computers each week.
Going through the list, the students with 0 hours are 2 in number (the entries '0, 0').
So, the number of students who used their computers is [tex]\(20 - 2 = 18\)[/tex].
5. Calculate the Ratio:
The ratio of students using their computers to the total number of students is:
[tex]\[
\frac{\text{Number of students using computers}}{\text{Total students}} = \frac{18}{20}
\][/tex]
6. Simplify the Ratio:
Simplify [tex]\(\frac{18}{20}\)[/tex] by dividing 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]
Therefore, the ratio of the number of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex]. So, the correct option is [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
1. Understand the Problem: We need to find the ratio of students who use their computers each week to the total number of students surveyed.
2. Identify the Data:
Liliana surveyed 20 students with the following hours they spend on their computers each week:
8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.
3. Determine the Total Number of Students:
The total number of students surveyed is 20.
4. Count Students Using Their Computers:
We need to count how many students spend more than 0 hours on their computers each week.
Going through the list, the students with 0 hours are 2 in number (the entries '0, 0').
So, the number of students who used their computers is [tex]\(20 - 2 = 18\)[/tex].
5. Calculate the Ratio:
The ratio of students using their computers to the total number of students is:
[tex]\[
\frac{\text{Number of students using computers}}{\text{Total students}} = \frac{18}{20}
\][/tex]
6. Simplify the Ratio:
Simplify [tex]\(\frac{18}{20}\)[/tex] by dividing 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]
Therefore, the ratio of the number of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex]. So, the correct option is [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
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Rewritten by : Barada
