Answer :
Sure! Let's tackle the problem step by step.
1. Understand the Survey Data:
Liliana surveyed 20 seventh-grade students to find out how many hours each of them spends on their computers per week. The data she collected were:
8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.
2. Identify Students Using Computers:
We need to determine how many students used their computers for more than 0 hours. By checking each number, we find that 0 hours appear twice. Thus, the number of students who used their computers is the total number of students minus those who did not.
3. Calculate Total Students Using Computers:
Out of the 20 students, 2 did not use their computers at all. Therefore, the remaining students who did use their computers is 20 - 2 = 18 students.
4. Calculate the Ratio:
We want to find the ratio of students who used their computers to the total number of students surveyed. The formula is:
Ratio = (Number of students using computers) / (Total number of students surveyed)
Substituting the numbers, we have:
Ratio = 18 / 20.
5. Simplify the Ratio:
Simplifying 18/20 gives us 9/10.
By understanding these steps, you'll find that the correct ratio of the total number of students who used their computers to the total number of students surveyed is:
[tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
Thus, the correct choice from the answers provided is [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
1. Understand the Survey Data:
Liliana surveyed 20 seventh-grade students to find out how many hours each of them spends on their computers per week. The data she collected were:
8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21.
2. Identify Students Using Computers:
We need to determine how many students used their computers for more than 0 hours. By checking each number, we find that 0 hours appear twice. Thus, the number of students who used their computers is the total number of students minus those who did not.
3. Calculate Total Students Using Computers:
Out of the 20 students, 2 did not use their computers at all. Therefore, the remaining students who did use their computers is 20 - 2 = 18 students.
4. Calculate the Ratio:
We want to find the ratio of students who used their computers to the total number of students surveyed. The formula is:
Ratio = (Number of students using computers) / (Total number of students surveyed)
Substituting the numbers, we have:
Ratio = 18 / 20.
5. Simplify the Ratio:
Simplifying 18/20 gives us 9/10.
By understanding these steps, you'll find that the correct ratio of the total number of students who used their computers to the total number of students surveyed is:
[tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
Thus, the correct choice from the answers provided is [tex]\(\frac{18}{20}\)[/tex] or [tex]\(\frac{9}{10}\)[/tex].
