Question

lily estimates that her dog weighs 185 kg, but her dog actually weighs 175 kg. what is the percent error in lilys estimate? ?% round to the nearest whole percent.

Explanation:

Step1: Find the absolute error

The absolute error is the absolute value of the difference between the estimated value and the actual value. So, \( |185 - 175| = 10 \).

Step2: Use the percent error formula

The formula for percent error is \( \text{Percent Error} = \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \times 100\% \). Substituting the values, we get \( \frac{10}{175} \times 100\% \).

Step3: Calculate the value

First, \( \frac{10}{175} \approx 0.0571 \). Then, multiplying by 100% gives \( 0.0571 \times 100\% = 5.71\% \). Rounding to the nearest whole percent, we get 6%.

Answer:

6%