(x) In science class, Anita is learning to use a method called water displacement to find the volume of a solid. In today's experiment, she misread the markings on her graduated cylinder and found the volume of a solid to be 0.46 cubic centimeters. Anita's lab partner corrected her by saying the actual volume of the solid was 0.50 cubic centimeters. What is the percent error for Anita's measurement? 4) If necessary, round your answer to the nearest tenth of a percent. \( \% \)
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To calculate the percent error, use the formula: \[ \text{Percent Error} = \left( \frac{|\text{Measured Value} - \text{True Value}|}{\text{True Value}} \right) \times 100 \] Anita's measured value is 0.46 cm³, and the true value is 0.50 cm³. First, find the absolute error: \[ |\text{Measured Value} - \text{True Value}| = |0.46 - 0.50| = 0.04 \text{ cm}³ \] Now, plug the absolute error into the formula: \[ \text{Percent Error} = \left( \frac{0.04}{0.50} \right) \times 100 = 8\% \] So, Anita's percent error is **8.0%**.