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Answer :
To solve this problem, we're going to find the ratio of students who used their computers to the total number of students surveyed. Here’s how you can do it step-by-step:
1. Identify the students who used their computers:
- Look at the list of hours each student spends on their computer:
8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.
- Count how many students have a number greater than 0 for computer usage. A value of 0 means the student didn't use the computer at all.
2. Count the students with non-zero computer usage:
- Going through the list, count each student who has more than 0 hours. Those students are:
- 8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, and 21.
- There are 18 students who used their computers.
3. Total number of students surveyed:
- According to the problem, 20 students were surveyed in total.
4. Calculate the ratio:
- We now have 18 students who used their computers (non-zero) out of 20 total students surveyed.
- The ratio is written as 18 out of 20, or [tex]\(\frac{18}{20}\)[/tex].
5. 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].
So, the ratio of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex]. This corresponds to the option "C: [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex]".
1. Identify the students who used their computers:
- Look at the list of hours each student spends on their computer:
8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.
- Count how many students have a number greater than 0 for computer usage. A value of 0 means the student didn't use the computer at all.
2. Count the students with non-zero computer usage:
- Going through the list, count each student who has more than 0 hours. Those students are:
- 8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, and 21.
- There are 18 students who used their computers.
3. Total number of students surveyed:
- According to the problem, 20 students were surveyed in total.
4. Calculate the ratio:
- We now have 18 students who used their computers (non-zero) out of 20 total students surveyed.
- The ratio is written as 18 out of 20, or [tex]\(\frac{18}{20}\)[/tex].
5. 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].
So, the ratio of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex]. This corresponds to the option "C: [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex]".
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