The estimate is 57.6 %
Solution:
Given that, On percent error, 48% is the actual and the error rate is 20%
To find: Estimate
Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%
The formula for percent error is given as:
[tex]\text { percent error }=\frac{\text {estimated value}-\text {actual value}}{\text {actual value}} \times 100[/tex]
Here given that,
percent error = 20 %
Actual = 48 %
Estimate = ?
Let "x" be the estimate
Substituting the values we get,
[tex]20 = \frac{x-48}{48} \times 100\\\\20 \times 48 = (x-48) \times 100\\\\960 = x - 48 \times 100\\\\x - 48 = \frac{960}{100}\\\\x - 48 = 9.6\\\\x = 48 + 9.6\\\\x = 57.6[/tex]
Thus the estimate is 57.6 %
