jill estimated a room to be 18ft tll it was actually only 15ft tall what is her prcantage error

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To calculate the percentage error in Jill's estimate, you can use the formula for percentage error:

\[ \text{Percentage Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100 \]

In this case:

  • Estimated Value = 18 ft
  • Actual Value = 15 ft

First, calculate the absolute error:

\[ |\text{Estimated Value} - \text{Actual Value}| = |18 - 15| = 3 \]

Now, plug the values into the percentage error formula:

\[ \text{Percentage Error} = \left( \frac{3}{15} \right) \times 100 \]

\[ \text{Percentage Error} = 0.2 \times 100 = 20% \]

So, Jill's percentage error is 20%.