The relative error is: 0.0625 or 0.0625 * 100 = 6.25%
Step-by-step explanation:
Relative error is given by the formula:
[tex]Relative\ error = \frac{absolute\ error}{Actual\ Value}[/tex]
While the absolute error is given by:
[tex]Absolute\ Error = |Measured - Actual|[/tex]
Given
Required Sauce = Actual = 4 ounces
Added Sauce = Measured = 3 3/4 = 15/4 ounces
So,
[tex]absolute\ error = |\frac{15}{4} - 4|\\= |\frac{15-16}{4}|\\=|\frac{-1}{4}|\\= \frac{1}{4} => 0.25[/tex]
Putting the values in the formula
[tex]Relative\ error = \frac{0.25}{4} = 0.0625[/tex]
Hence,
The relative error is: 0.0625 or 0.0625 * 100 = 6.25%
Keywords: Relative error, error
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