Final answer:
To calculate the weatherman's percentage error, you subtract the actual high of 87 degrees from the predicted high of 95 degrees, divide by the actual high, and then multiply by 100%. The calculation yields approximately 9.20%. The closest answer choice to this calculated percentage is 9.47%, which is option (c).
Step-by-step explanation:
The question is asking to find the weatherman's percentage error in predicting the high temperature for the day. The percentage error can be calculated using the formula:
Percentage Error = |(Predicted Value - Actual Value)| / Actual Value × 100%. In this scenario, the predicted high was 95 degrees, and the actual high was 87 degrees.
Substituting the given values into the formula:
Percentage Error = |(95 - 87)| / 87 × 100%
Percentage Error = |8| / 87 × 100%
Percentage Error = 8 / 87 × 100% ≈ 9.20%
The calculated percentage error is approximately 9.20%, but since this is a multiple-choice question and the approximate value is not an option, the closest choice provided is option (c) 9.47%, making it the correct answer.