Question

kerry is conducting a marketing survey. she mailed 45,128 surveys, and received 17,892 responses. approximately what percentage of people responded to the survey? a) 18% b) 27% c) 40% d) 45%

Explanation:

Step1: Identify the formula for percentage

To find the percentage of respondents, we use the formula: $Percentage = \frac{Number\ of\ responses}{Total\ number\ of\ surveys\ mailed} \times 100\%$

Step2: Substitute the values

Here, the number of responses is 17,892 and the total number of surveys mailed is 45,128. So we calculate $\frac{17892}{45128} \times 100\%$

Step3: Perform the division and multiplication

First, divide 17892 by 45128: $\frac{17892}{45128} \approx 0.3965$

Then multiply by 100%: $0.3965\times 100\% \approx 40\%$ (when approximated)

Answer:

C) 40%