Answer :
Sure! Let's solve the problem step by step.
Liliana surveyed 20 seventh-grade students and asked how many hours they spend on their computers each week. We need to find the ratio of the number of students who used their computers to the total number of students surveyed.
Here's how we can solve it:
1. List of Computer Hours:
The students provided the following data on their weekly computer usage (in hours):
8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21
2. Determine Students Using Computers:
Count the number of students who used their computers, meaning the number of hours must be greater than 0.
By checking the list:
- Students using their computers: 8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21
- There are 18 non-zero entries.
3. Find the Ratio:
We have 18 students who used their computers out of 20 students surveyed.
Thus, the ratio is:
[tex]\[
\frac{\text{Number of students using their computers}}{\text{Total number of students surveyed}} = \frac{18}{20}
\][/tex]
4. 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 students who used their computers to the total number of students surveyed is [tex]\(\frac{18}{20}\)[/tex] or simplified, [tex]\(\frac{9}{10}\)[/tex].
The correct choice from the given options is: [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
Liliana surveyed 20 seventh-grade students and asked how many hours they spend on their computers each week. We need to find the ratio of the number of students who used their computers to the total number of students surveyed.
Here's how we can solve it:
1. List of Computer Hours:
The students provided the following data on their weekly computer usage (in hours):
8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21
2. Determine Students Using Computers:
Count the number of students who used their computers, meaning the number of hours must be greater than 0.
By checking the list:
- Students using their computers: 8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21
- There are 18 non-zero entries.
3. Find the Ratio:
We have 18 students who used their computers out of 20 students surveyed.
Thus, the ratio is:
[tex]\[
\frac{\text{Number of students using their computers}}{\text{Total number of students surveyed}} = \frac{18}{20}
\][/tex]
4. 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 students who used their computers to the total number of students surveyed is [tex]\(\frac{18}{20}\)[/tex] or simplified, [tex]\(\frac{9}{10}\)[/tex].
The correct choice from the given options is: [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
