Answer :
To solve the problem of finding the ratio of the total number of students who used their computers to the total number of students surveyed, follow these steps:
1. Understand the Problem: We need to determine how many students actually used their computers out of the total surveyed.
2. Identify Relevant Data: Liliana surveyed 20 students and obtained data on their computer usage in hours per week. The key here is to count how many students used their computers at all, meaning their reported hours are more than 0.
3. Count Students Using Computers: From the results, students who used computers reported hours greater than 0. So, we count these instances:
- 8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21
There are 18 students whose computer usage is greater than 0.
4. Calculate the Total Number of Students Surveyed: As mentioned, Liliana surveyed a total of 20 students.
5. Find the Ratio: To find the ratio of the number of students who used their computers to the total number of students surveyed:
- Number of students who used computers = 18
- Total students surveyed = 20
The ratio is therefore 18 to 20.
6. Simplify the Ratio: The ratio 18:20 can be simplified by dividing both numbers by their greatest common divisor, which is 2:
- [tex]\( \frac{18}{20} = \frac{9}{10} \)[/tex]
Therefore, the ratio of the total number of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex].
1. Understand the Problem: We need to determine how many students actually used their computers out of the total surveyed.
2. Identify Relevant Data: Liliana surveyed 20 students and obtained data on their computer usage in hours per week. The key here is to count how many students used their computers at all, meaning their reported hours are more than 0.
3. Count Students Using Computers: From the results, students who used computers reported hours greater than 0. So, we count these instances:
- 8, 15, 11, 12, 13, 16, 13, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21
There are 18 students whose computer usage is greater than 0.
4. Calculate the Total Number of Students Surveyed: As mentioned, Liliana surveyed a total of 20 students.
5. Find the Ratio: To find the ratio of the number of students who used their computers to the total number of students surveyed:
- Number of students who used computers = 18
- Total students surveyed = 20
The ratio is therefore 18 to 20.
6. Simplify the Ratio: The ratio 18:20 can be simplified by dividing both numbers by their greatest common divisor, which is 2:
- [tex]\( \frac{18}{20} = \frac{9}{10} \)[/tex]
Therefore, the ratio of the total number of students who used their computers to the total number of students surveyed is [tex]\(\frac{9}{10}\)[/tex].
