Your homemade pasta sauce recipe calls for 4 ounces of olive oil. You mistakenly use 3 3/4 ounces what is the relative error?

Respuesta :

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

Learn more about relative error at:

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