Pregunta
(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. \( \% \)
Ask by Peters Chen. in the United States
Feb 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Anita's percent error is 8.0%.
Solución
Percent error is calculated using the formula:
Percent error = (|measured value – true value| / true value) × 100%
Substitute the values:
Percent error = (|0.46 - 0.50| / 0.50) × 100%
= (0.04 / 0.50) × 100%
= 0.08 × 100%
= 8.0%
Thus, the percent error for Anita's measurement is 8.0%.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Beyond the Answer
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%**.

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium