Answer :
To determine what fraction of the students in the sample were male, follow these steps:
1. Identify the total number of students surveyed.
According to the table, the total number of students surveyed is 200.
2. Determine the number of male students in the survey.
From the table, the number of male students is given as 90.
3. Calculate the fraction of male students.
The fraction of male students can be found by dividing the number of male students by the total number of students surveyed:
[tex]\[ \text{Fraction of male students} = \frac{\text{Number of male students}}{\text{Total number of students}} = \frac{90}{200} \][/tex]
4. Simplify the fraction (if possible).
Simplify \(\frac{90}{200}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 10.
[tex]\[ \frac{90 ÷ 10}{200 ÷ 10} = \frac{9}{20} \][/tex]
So, the fraction of students who are male is \(\frac{9}{20}\), which simplifies to 0.45.
Therefore, the fraction of students in the sample who were male is [tex]\(\frac{9}{20}\)[/tex] or 0.45.
1. Identify the total number of students surveyed.
According to the table, the total number of students surveyed is 200.
2. Determine the number of male students in the survey.
From the table, the number of male students is given as 90.
3. Calculate the fraction of male students.
The fraction of male students can be found by dividing the number of male students by the total number of students surveyed:
[tex]\[ \text{Fraction of male students} = \frac{\text{Number of male students}}{\text{Total number of students}} = \frac{90}{200} \][/tex]
4. Simplify the fraction (if possible).
Simplify \(\frac{90}{200}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 10.
[tex]\[ \frac{90 ÷ 10}{200 ÷ 10} = \frac{9}{20} \][/tex]
So, the fraction of students who are male is \(\frac{9}{20}\), which simplifies to 0.45.
Therefore, the fraction of students in the sample who were male is [tex]\(\frac{9}{20}\)[/tex] or 0.45.
