Question

A scientist estimated that a mixture would need 4 milliliters of a chemical to balance. The actual amount needed was 7 milliliters. What was the percent error of the scientist's estimation?

Answer 1

42.86% error was in the scientist's estimation.

Step-by-step explanation:

Given data;

Approx amount = 4 ml

Exact amount needed = 7 ml

Percentage error = $\frac{|Approx-Exact|}{Exact}*100$

$Percentage\ error=\frac{|4-7|}{7}*100\\Percentage\ error=\frac{|-3|}{7}*100\\Percentage\ error=\frac{3}{7}*100\\\\Percentage\ error=\frac{300}{7}\\Percentage\ error= 42.86\%$

42.86% error was in the scientist's estimation.

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Answer 2

The percent error of scientist estimation is 42.85 %

Solution:

Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%.

Percentage error is a measurement of the discrepancy between an observed and a true, or accepted value.

The actual amount needed was 7 milli liters and the estimate was 4 milli liters

$\text { percent error }=\frac{\text { Actual amount - Estimated amount }}{\text { actual amount }} \times 100$

Plugging in the values in above formula, we get

$\text { percent error }=\frac{7-4}{7} \times 100$

$\text { percent error }=\frac{3}{7} \times 100=\frac{300}{7}=42.85 \%$