Question

find the absolute and relative errors in the following situation. the actual body temperature of an animal is 24.4°f, but the thermometer reads 24.52°f. the absolute error is 0.12°f. (simplify your answer. round to the nearest hundredth as needed.) the relative error is % (simplify your answer. round to the nearest tenth as needed.)

Explanation:

Step1: Recall relative - error formula

The formula for relative error is $\text{Relative Error}=\frac{\text{Absolute Error}}{\text{True Value}}\times100\%$.
We know that the absolute error is $0.12^{\circ}F$ and the true value (actual body - temperature) is $24.4^{\circ}F$.

Step2: Calculate relative error

Substitute the values into the formula: $\text{Relative Error}=\frac{0.12}{24.4}\times100\%$.
First, calculate $\frac{0.12}{24.4}\approx0.004918$.
Then, multiply by 100: $0.004918\times100 = 0.4918\%$.
Rounding to the nearest tenth, we get $0.5\%$.

Answer:

$0.5$