an engineer is estimating the weight of a steel beam. the actual weight of the beam is 308 pounds. the…

an engineer is estimating the weight of a steel beam. the actual weight of the beam is 308 pounds. the engineers estimate is 300 pounds. find the absolute error and the percent error of the engineers estimate. if necessary, round your answers to the nearest tenth. absolute error = pounds percent error = %

an engineer is estimating the weight of a steel beam. the actual weight of the beam is 308 pounds. the engineers estimate is 300 pounds. find the absolute error and the percent error of the engineers estimate. if necessary, round your answers to the nearest tenth. absolute error = pounds percent error = %

Answer

Explanation:

Step1: Calculate absolute error

The formula for absolute error is $| \text{actual value}-\text{estimated value}|$. Here, the actual value is 308 pounds and the estimated value is 300 pounds. So, $|308 - 300|=8$ pounds.

Step2: Calculate percent error

The formula for percent error is $\frac{\text{absolute error}}{\text{actual value}}\times100%$. Substitute the absolute error of 8 pounds and actual value of 308 pounds. So, $\frac{8}{308}\times 100%=\frac{800}{308}% \approx 2.6%$.

Answer:

absolute error = 8 pounds percent error = 2.6%