jill measures the width of her bike seat at 123 mm, but its actually 130 mm. what is the percent error in…

jill measures the width of her bike seat at 123 mm, but its actually 130 mm. what is the percent error in jills measurement? round to the nearest whole percent.

jill measures the width of her bike seat at 123 mm, but its actually 130 mm. what is the percent error in jills measurement? round to the nearest whole percent.

Answer

Explanation:

Step1: Find the error

The error is the absolute - value of the difference between the measured value and the actual value. Let the measured value $m = 123$ mm and the actual value $a=130$ mm. The error $E=\vert a - m\vert=\vert130 - 123\vert = 7$ mm.

Step2: Calculate the percent - error formula

The percent - error formula is $Percent\ Error=\frac{E}{a}\times100%$. Substitute $E = 7$ mm and $a = 130$ mm into the formula: $Percent\ Error=\frac{7}{130}\times100%$.

Step3: Evaluate and round

$\frac{7}{130}\times100%=\frac{700}{130}% \approx 5.38%$. Rounding to the nearest whole percent gives $5%$.

Answer:

$5%$