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Annie estimates that the height of a bookcase is 78.25 in. The actual height is 75.50 in.

To the nearest tenth of a percent, what is the percent error in Annie's estimate?

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Verified Answer :

Answer:

The percentage error is 3.6 % .

Step-by-step explanation:

Formula

\(Error\ percentage = \frac{Error\times 100}{Exact\ value}\)

\(Error = \left |Approx - Exact \right |\)

As given

Annie estimates that the height of a bookcase is 78.25 in. The actual height is 75.50 in.

Here

Approx value =  78.25 in

Exact value = 75.50 in

\(Error = \left |78.25 - 75.50\right |\)

Error = 2.75

Put in the formula

\(Error\ percentage = \frac{2.75\times 100}{75.50}\)

\(Error\ percentage = \frac{275}{75.50}\)

Error percentage = 3.6 %

Therefore the percentage error is 3.6 % .


Azygula

Answer:


The percentage error is 3.6 % .


Step-by-step explanation:


Formula






As given


Annie estimates that the height of a bookcase is 78.25 in. The actual height is 75.50 in.


Here


Approx value =  78.25 in


Exact value = 75.50 in




Error = 2.75


Put in the formula






Error percentage = 3.6 %


Therefore the percentage error is 3.6 % .


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