Question
Julia estimated her cat weight to be 14 pounds. The actual weight of the cat is 11.75 pounds. What is the percent error of Julia’s estimate relative to the
actual weight? Round your answer to the nearest tenth of a percent.
actual weight? Round your answer to the nearest tenth of a percent.
Ask by Whittaker Fernandez. in the United States
Jan 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The percent error of Julia’s estimate is approximately 19.2%.
Solution
To find the percent error of Julia’s estimate relative to the actual weight of the cat, we can use the formula:
Given:
- Estimated weight of the cat by Julia = 14 pounds
- Actual weight of the cat = 11.75 pounds
Substitute the values into the formula:
Now, we can calculate the percent error.
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
- step1: Remove the parentheses:
- step2: Subtract the numbers:
- step3: Divide the terms:
- step4: Multiply:
- step5: Multiply:
The percent error of Julia’s estimate relative to the actual weight of the cat is approximately 19.15%.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To find the percent error, use the formula: Percent Error = |(Estimated Value - Actual Value)| / Actual Value × 100.
In Julia’s case, the estimated weight is 14 pounds and the actual weight is 11.75 pounds. The calculation goes: |14 - 11.75| / 11.75 × 100 = 2.25 / 11.75 × 100 ≈ 19.15%. Rounding to the nearest tenth of a percent, the percent error is approximately 19.2%.
So, Julia’s estimate has a percent error of about 19.2%.
