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Question
ray predicted that he would score 16 points during the basketball game. he only scored 12 points. what is the percent error?
Step1: Calculate the absolute error
The formula for absolute error is \(| \text{Predicted Value}-\text{Actual Value}|\).
Here, predicted value \(= 16\), actual value \(= 12\).
\(|16 - 12|=4\)
Step2: Calculate the percent error
The formula for percent error is \(\frac{\text{Absolute Error}}{\text{Actual Value}}\times100\%\)
Substitute absolute error \( = 4\) and actual value \(=12\) into the formula:
\(\frac{4}{12}\times 100\%=\frac{1}{3}\times100\%\approx 33.3\%\)
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\(33.3\%\)