Question
A local bank serves 43,900 customers. The bank generates a list of all its customers, assigns them consecutive IDs, then sends out a survey to every fourth customer it 8,637 of the surveyed participants reapond, what is the response rate, to the nearest integer? (1 point) A. 20 percert B. 10 percent C. 25 percant D. 79 percent
Answers
GPT-4o mini
To determine the response rate, we can use the following formula:
\[
\text{Response Rate} = \left( \frac{\text{Number of Responses}}{\text{Total Number Surveyed}} \right) \times 100
\]
First, we need to find the total number of customers surveyed. Since the bank sends out a survey to every fourth customer, we will divide the total number of customers by 4:
\[
\text{Total Number Surveyed} = \frac{43,900}{4} = 10,975
\]
Now, we can plug in the values for the number of responses and the total number surveyed:
\[
\text{Response Rate} = \left( \frac{8,637}{10,975} \right) \times 100
\]
Calculating this gives us:
\[
\text{Response Rate} \approx 0.7876 \times 100 \approx 78.76\%
\]
Rounding to the nearest integer, the response rate is approximately 79%.
Thus, the correct answer is **D. 79 percent**.
\[
\text{Response Rate} = \left( \frac{\text{Number of Responses}}{\text{Total Number Surveyed}} \right) \times 100
\]
First, we need to find the total number of customers surveyed. Since the bank sends out a survey to every fourth customer, we will divide the total number of customers by 4:
\[
\text{Total Number Surveyed} = \frac{43,900}{4} = 10,975
\]
Now, we can plug in the values for the number of responses and the total number surveyed:
\[
\text{Response Rate} = \left( \frac{8,637}{10,975} \right) \times 100
\]
Calculating this gives us:
\[
\text{Response Rate} \approx 0.7876 \times 100 \approx 78.76\%
\]
Rounding to the nearest integer, the response rate is approximately 79%.
Thus, the correct answer is **D. 79 percent**.