A radar gun measured the speed of a baseball at 103 miles per hour. If the baseball was actually going 102.8 miles per hour, what was the percent error in this measurement? Round to the nearest hundredth percent

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Answer

Percent Error = 0.195%

Explanation

Percent error is given as

[tex]\text{Percent Error = }\frac{Error}{True\text{ value}}\times100\text{ percent}[/tex]

Error = | (Incorrect value) - (True value) |

Incorrect value = 103 miles per hour

True value = 102.8 miles per hour

Error = | (Incorrect value) - (True value) |

Error = | 103 - 102.8 |

Error = 0.2 miles per hour

[tex]\begin{gathered} \text{Percent Error = }\frac{Error}{True\text{ value}}\times100\text{ percent} \\ \text{Percent Error = }\frac{0.2}{102.8}\times100\text{ percent} \\ \text{Percent Error = 0.195 percent} \end{gathered}[/tex]

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