Question

solve each problem.

1. doug estimates that his soccer team will win 7 games this year. the team actually wins 10 games. what is the percent error of dougs estimate? round the answer to the nearest tenth percent, if necessary.

(example 1)

Explanation:

Step1: Calculate the absolute error

The formula for absolute error is \(| \text{Estimated Value}-\text{Actual Value}|\).
Here, the estimated value \(E = 7\) and the actual value \(A=10\).
\(|E - A|=|7 - 10|=3\)

Step2: Calculate the percent error

The formula for percent error is \(\text{Percent Error}=\frac{|E - A|}{A}\times100\%\)
Substitute \(|E - A| = 3\) and \(A = 10\) into the formula:
\(\text{Percent Error}=\frac{3}{10}\times100\%=30\%\)

Answer:

\(30\%\)