Question

find the absolute and relative errors in the following situation. your bike speedometer reads 25 miles per hour when you are actually traveling 21 miles per hour. the absolute error is 2 miles per hour. (type an integer or decimal rounded to the nearest tenth as needed)

Explanation:

Step1: Calculate absolute error

Absolute error formula: \(| \text{Measured Value}-\text{True Value}|\).
Here, measured value \(= 25\) mph, true value \(= 21\) mph.
\(|25 - 21|\)
\(=4\)

Step2: Calculate relative error

Relative error formula: \(\frac{| \text{Measured Value}-\text{True Value}|}{\text{True Value}}\).
Substitute values: \(\frac{4}{21}\approx0.190476\)

Answer:

The absolute error is \(4\) miles per hour. The relative error is approximately \(0.19\) (rounded to two decimal places).