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

Question

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

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Faith 3 months 2022-02-15T17:40:59+00:00 1 Answer 0 views 0

Answers ( )

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    2022-02-15T17:42:03+00:00

    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:

    • brainly.com/question/4710621
    • brainly.com/question/4767370

    #LearnwithBrainly

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