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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Answer:

The percentage error is 3.6 % .

Step-by-step explanation:

Formula

[tex]Error\ percentage = \frac{Error\times 100}{Exact\ value}[/tex]

[tex]Error = \left |Approx - Exact \right |[/tex]

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

[tex]Error = \left |78.25 - 75.50\right |[/tex]

Error = 2.75

Put in the formula

[tex]Error\ percentage = \frac{2.75\times 100}{75.50}[/tex]

[tex]Error\ percentage = \frac{275}{75.50}[/tex]

Error percentage = 3.6 %

Therefore the percentage error is 3.6 % .


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 % .