Question

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.

Answer 1

3.5% Error

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.