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Liliana wants to start a seventh-grade computer club at Hamden Middle School. She surveyed 20 seventh-grade students at the town park, asking each how many hours they spend on their computers each week. The results are as follows:

[tex]\[ 8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21 \][/tex]

What is the ratio of the total number of students who used their computers to the total number of students surveyed?

A. [tex]\(\frac{2}{20}\)[/tex] or [tex]\(\frac{1}{10}\)[/tex]

B. [tex]\(\frac{2}{18}\)[/tex] or [tex]\(\frac{1}{9}\)[/tex]

C. [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex]

D. [tex]\(\frac{18}{2}\)[/tex] or [tex]\(\frac{9}{1}\)[/tex]

Answer :

Certainly! Let's find the ratio of the total number of students who used their computers to the total number of students surveyed.

1. Understand the Data: We have surveyed 20 students, and we have a list indicating how many hours each student spends on their computer each week.

2. Identify Students Using Computers: To count the number of students who have used their computers, we need to identify those who have spent more than 0 hours on them. Here's the list of hour usage:
- 8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21

3. Count the Students Using Computers: Look through the list and count all the numbers that are greater than 0. In this case, there are 18 students who used their computers because two students reported 0 hours.

4. Calculate the Ratio: Now, we know:
- Total number of students surveyed: 20
- Number of students who used their computers: 18

We can now calculate the ratio of students who used their computers to the total number surveyed:

[tex]\[
\frac{18}{20}
\][/tex]

5. Simplify the Ratio: The fraction [tex]\(\frac{18}{20}\)[/tex] can be simplified 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]

So, the ratio of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex].

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Rewritten by : Barada