Respuesta :
Given:
Estimated weight of a cat = 16 pounds
Actual weight of that cat = 14.25 pounds
To find:
The percent error to the nearest tenth of a percent.
Solution:
We know that,
[tex]\text{Percent error}=\dfrac{\text{Estimated value - Actual value}}{\text{Actual value}}\times 100[/tex]
Using the above formula, we get
[tex]\text{Percent error}=\dfrac{16-14.25}{14.25}\times 100[/tex]
[tex]\text{Percent error}=\dfrac{1.75}{14.25}\times 100[/tex]
[tex]\text{Percent error}=0.122807\times 100[/tex]
[tex]\text{Percent error}=12.2807[/tex]
Round the percent error to the nearest tenth of a percent.
[tex]\text{Percent error}\approx 12.3[/tex]
Therefore, the percent error is 12.3%.