The estimate of a bookcase was 78.25in. The actual measurement was 75.50in. To the nearest tenth of a percent, what was the percent error in the estimate.

Question

Mathematics

Adison Tucker

9 August, 01:41

The estimate of a bookcase was 78.25in. The actual measurement was 75.50in. To the nearest tenth of a percent, what was the percent error in the estimate.

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Jorge Tyler · Answer 1

3.5% Error

Step-by-step explanation:

I used this equation - 100 * (1 - (75.5/78.25)) = 3.514376 ... (Rounded to the tenths place you get 3.5)

Breakdown: You want to get your error to do this first you get your percent that was correct which is - (75.5/78.25)

You then subtract this by one because this will give you your margin of error as a decimal hence - (1 - (75.5/78.25))

Lastly, multiply this by 100 because you want to convert the decimal into a percent then round to the nearest tenth of a percent resulting in 3.5% error.