Answer
Find out the percent error in Annie's estimate .
To prove
Formula
\(Percentage\ error = \frac{error\times 100}{exact\ value}\)
As error = approx value - exact value
As given
Annie estimates that the height of a bookcase is 78.25 in.
The actual height is 75.50 in.
approx value = 78.25 in.
actual value = 75.50 in.
error = 78 .25 - 75 .50
= 2.75
put in the formula
\(Percentage\ error = \frac{2.75\times 100}{75.50}\)
\(Percentage\ error = \frac{27500}{7550}\)
Percentage error = 3.64 % (approx)
Therefore the Percentage error be 3.64 % (approx).
