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11. There are 32 students in a class. Nine of those students are women. What percent are men? (Round to the nearest tenth.)



Answer :

To determine the percentage of men in the class, follow these steps:

1. Find the total number of students:
The total number of students is given as 32.

2. Determine the number of women students:
The number of women students is given as 9.

3. Calculate the number of men students:
Subtract the number of women students from the total number of students:
[tex]\[ \text{Number of men students} = \text{Total students} - \text{Number of women students} = 32 - 9 = 23 \][/tex]

4. Find the fraction of the class that represents the men:
Divide the number of men students by the total number of students:
[tex]\[ \text{Fraction of men} = \frac{\text{Number of men students}}{\text{Total students}} = \frac{23}{32} \][/tex]

5. Convert the fraction to a percentage:
Multiply the fraction by 100:
[tex]\[ \text{Percentage of men} = \left(\frac{23}{32}\right) \times 100 = 71.875\% \][/tex]

6. Round the percentage to the nearest tenth:
The percentage of men calculated is 71.875%. When rounded to the nearest tenth, it becomes 71.9%.

Thus, the percentage of men in the class is [tex]\( 71.9\% \)[/tex].

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