Question

Hi ! i really need help!!

Every night, Doug drops any coins remaining in his pocket into a glass jar. Yesterday, Doug looked at how full the jar was and estimated he had $25. After he opened the jar and counted the coins, he found that the actual total was $30.60. What is the percent error for his estimate?
If necessary, round your answer to the nearest tenth of a percent.

Answer 1

18.30%.

Explanation:

To find the percent error for Doug's estimate, we need to compare his estimated total of $25 with the actual total of $30.60. To calculate the percent error, we can use the following formula: Percent Error = (|Actual Value - Estimated Value| / Actual Value) * 100 Substituting the given values: Percent Error = (|30.60 - 25| / 30.60) * 100 First, let's find the absolute difference between the actual value and the estimated value: |30.60 - 25| = 5.60 Now, let's calculate the percent error: Percent Error = (5.60 / 30.60) * 100 Using a calculator, we find: Percent Error ≈ 18.30% Therefore, the percent error for Doug's estimate is approximately 18.30%.