QuestionWhat percent of the 200 freshmen voted for the change or had no opinion? Freshmen: For 20, Against 100, No Opinion 80.

Studdy Solution

STEP 1

Assumptions1. The total number of students who responded to the survey is500. . The number of freshmen who voted for the change is20.
3. The number of freshmen who had no opinion is80.

STEP 2

First, we need to find the total number of freshmen who voted for the change or had no opinion. We can do this by adding the number of freshmen who voted for the change and the number of freshmen who had no opinion.
$\text{Total Freshmen For or No Opinion} = \text{Freshmen For} + \text{Freshmen No Opinion}$

STEP 3

Now, plug in the given values for the number of freshmen who voted for the change and the number of freshmen who had no opinion to calculate the total number of freshmen who voted for the change or had no opinion.
$\text{Total Freshmen For or No Opinion} =20 +80$

STEP 4

Calculate the total number of freshmen who voted for the change or had no opinion.
$\text{Total Freshmen For or No Opinion} =20 +80 =100$

STEP 5

Now that we have the total number of freshmen who voted for the change or had no opinion, we can find the percentage of these students out of the total number of students who responded to the survey. We can do this by dividing the total number of freshmen who voted for the change or had no opinion by the total number of students who responded to the survey and then multiplying by100.
$\text{Percentage} = \left( \frac{\text{Total Freshmen For or No Opinion}}{\text{Total Students}} \right) \times100$

STEP 6

Plug in the values for the total number of freshmen who voted for the change or had no opinion and the total number of students who responded to the survey to calculate the percentage.
$\text{Percentage} = \left( \frac{100}{500} \right) \times100$

STEP 7

Calculate the percentage.
$\text{Percentage} = \left( \frac{100}{500} \right) \times100 =20\%$ 20% of the total number of students who responded were freshmen who voted for the change, or freshmen who had no opinion.

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