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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. She asked each student how many hours they spend on their computers each week. She obtained the following results:

[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 :

Sure! Let's solve the problem step by step:

Liliana wants to find out how many seventh-grade students use their computers each week. She surveyed a total of 20 students and recorded the number of hours each of them spends on their computers. Here's the list of hours:

8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.

To find the ratio of students who use their computers to the total number of students surveyed, we need to:
1. Determine how many students actually use their computers each week.
2. Compare this number to the total number of students surveyed.

Step 1: Count students using computers
- We look through the data and count how many students have hours greater than 0 since this indicates they have used their computers.
- From the data provided, 18 students have hours greater than 0.

Step 2: Define the total number of students surveyed
- The total number of students surveyed is 20.

Step 3: Calculate the ratio
- The ratio of students who use their computers to the total number of students surveyed is 18 (students using computers) divided by 20 (total students surveyed).

This gives us the ratio of [tex]\(\frac{18}{20}\)[/tex].

To simplify this fraction:
- Both 18 and 20 can be divided by 2.
- [tex]\( \frac{18 \div 2}{20 \div 2} = \frac{9}{10} \)[/tex].

Thus, the simplified ratio is [tex]\(\frac{9}{10}\)[/tex].

So, the correct answer is [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].

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Rewritten by : Barada