Question

after a stressful day, you go home to take a nap. you estimated you slept for 20 minutes but your mom told you slept for 45 minutes. what is your percent of error?

Explanation:

Step1: Find the absolute error

The formula for absolute error is \(| \text{Estimated Value}-\text{Actual Value}|\). Here, the estimated value is \(20\) minutes and the actual value is \(45\) minutes. So, \(|20 - 45|=| - 25| = 25\).

Step2: Calculate the percent error

The formula for percent error is \(\frac{\text{Absolute Error}}{\text{Actual Value}}\times100\%\). Substitute the values: \(\frac{25}{45}\times100\%=\frac{2500}{45}\% \approx 55.56\%\approx56\%\) (rounded to the nearest whole number).

Answer:

\(56\%\)