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27 March, 11:35

What error did the student most likely make? The student multiplied by 6 instead of 10. The student multiplied by 10 instead of 6. The student used the ratio of 1:4,000 instead of 2:4,000. The student used the ratio of 2:2,000 instead of 1:2,000.

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  1. 27 March, 12:04
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    Incomplete question

    Step-by-step explanation:

    What error did the student most likely make? The student multiplied by 6 instead of 10. The student multiplied by 10 instead of 6. The student used the ratio of 1:4,000 instead of 2:4,000. The student used the ratio of 2:2,000 instead of 1:2,000.

    When the student multiply by 6 instead of 10

    Let say the value he wanted to mulipty is x

    Then the true value is 10x

    Then the measure value is 6x

    %error = |measure value-true value| / true value * 100

    %error=|6x-10x|/10x * 100

    %error = 4x/10x * 100

    %error = 40%

    When he was suppose to multiply by 6, he then multiply by 10.

    Let say the value he wanted to multiply is x

    Then the true value is 6x

    Then the measure value is 10x

    %error = |measure value-true value| / true value * 100

    %error=|10x-6x|/6x * 100

    %error = 4x/6x * 100

    %error = 66.67%

    When the student suppose to do 2:4000, he did 1:4000

    The let assume what he want to find it's ration is y

    The true value is 2:4000 of y

    True value = 2/4000*y

    True value = y/2000

    Then measure value 1:4000 of y

    Measure value = y/4000

    %error=|measure value - true value| / true value * 100

    %error = (y/2000-y/4000) / y/2000 * 100

    %error = y/4000/y/2000*100

    %error = 2000/4000*100

    %error = 50%

    The student use 2:2000 instead of 1:2000

    The let assume what he want to find it's ration is y

    The true value is 1:2000 of y

    True value = 1/2000*y

    True value = y/2000

    Then measure value 2:2000 of y

    Measure value = 2y/2000

    %error=|measure value - true value| / true value * 100

    %error = (2y/2000-y/2000) / y/2000 * 100

    %error = y/2000/y/2000*100

    %error = 2000/2000*100

    %error = 100%

    Doubled
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