Question
Raven is a geologist. She is measuring something called the porosity of a rock. The actual porosity of the rock sample is 0.114 Raven measures the porosity as 0.120. What is Raven’s percent error on this measurement?
0.006%
5.26%
0.600%
0.0526%
Answers
GPT-4o mini
To calculate the percent error of Raven's measurement, you can use the formula for percent error:
\[
\text{Percent Error} = \left( \frac{|\text{Measured Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100
\]
In this case, the measured value is 0.120 and the actual value is 0.114.
1. Calculate the absolute error:
\[
|\text{Measured Value} - \text{Actual Value}| = |0.120 - 0.114| = 0.006
\]
2. Plug the values into the percent error formula:
\[
\text{Percent Error} = \left( \frac{0.006}{0.114} \right) \times 100
\]
3. Calculate the division:
\[
\frac{0.006}{0.114} \approx 0.05263
\]
4. Convert to percent:
\[
0.05263 \times 100 \approx 5.263
\]
So, Raven's percent error is approximately 5.26%.
The correct answer is **5.26%**.
\[
\text{Percent Error} = \left( \frac{|\text{Measured Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100
\]
In this case, the measured value is 0.120 and the actual value is 0.114.
1. Calculate the absolute error:
\[
|\text{Measured Value} - \text{Actual Value}| = |0.120 - 0.114| = 0.006
\]
2. Plug the values into the percent error formula:
\[
\text{Percent Error} = \left( \frac{0.006}{0.114} \right) \times 100
\]
3. Calculate the division:
\[
\frac{0.006}{0.114} \approx 0.05263
\]
4. Convert to percent:
\[
0.05263 \times 100 \approx 5.263
\]
So, Raven's percent error is approximately 5.26%.
The correct answer is **5.26%**.