Question
A local library has 3,425 patrons who use the library at least once a month. The library randomly surveys 20% of these patrons. If 467 of the surveyed participants respond, what is the response rate, to the nearest integer? (1 point) 68 percent 14 percent 10 percent 20 percent
Answers
GPT-4o mini
To find the response rate, you can use the following formula:
\[
\text{Response Rate} = \left( \frac{\text{Number of Respondents}}{\text{Total Number Surveyed}} \right) \times 100
\]
First, we need to determine how many patrons were surveyed. Since the library surveys 20% of the 3,425 patrons, we calculate:
\[
\text{Total Number Surveyed} = 0.20 \times 3,425 = 685
\]
Next, we know that 467 of the surveyed participants responded. Now we can calculate the response rate:
\[
\text{Response Rate} = \left( \frac{467}{685} \right) \times 100 \approx 68.2
\]
Rounding this to the nearest integer gives us:
\[
\text{Response Rate} \approx 68\%
\]
Therefore, the response rate is **68 percent**.
\[
\text{Response Rate} = \left( \frac{\text{Number of Respondents}}{\text{Total Number Surveyed}} \right) \times 100
\]
First, we need to determine how many patrons were surveyed. Since the library surveys 20% of the 3,425 patrons, we calculate:
\[
\text{Total Number Surveyed} = 0.20 \times 3,425 = 685
\]
Next, we know that 467 of the surveyed participants responded. Now we can calculate the response rate:
\[
\text{Response Rate} = \left( \frac{467}{685} \right) \times 100 \approx 68.2
\]
Rounding this to the nearest integer gives us:
\[
\text{Response Rate} \approx 68\%
\]
Therefore, the response rate is **68 percent**.