Question

mal estimated the weight of her mountain bike to be 14 kg. the actual weight of her mountain bike was 13.1 kg. find the absolute error and the percent error of mals estimate. if necessary, round your answers to the nearest tenth. absolute error = □ kg percent error = □%

Explanation:

Step1: Calculate the absolute error

The formula for absolute error is \(| \text{Estimated value}-\text{Actual value}|\).
Here, the estimated value is \(14\) kg and the actual value is \(13.1\) kg.
So, \(|14 - 13.1|=|0.9| = 0.9\) kg.

Step2: Calculate the percent error

The formula for percent error is \(\frac{\text{Absolute error}}{\text{Actual value}}\times100\%\).
Substitute the absolute error \(0.9\) kg and actual value \(13.1\) kg into the formula:
\(\frac{0.9}{13.1}\times 100\%=\frac{90}{13.1}\% \approx 6.9\%\) (rounded to the nearest tenth).

Answer:

absolute error \( = 0.9\) kg, percent error \(=6.9\%\)