The average (arithmetic mean) of the 43 numbers in list L is a positive number. The average of all 48 numbers in both lists L and M is 50 pe

Question

The average (arithmetic mean) of the 43 numbers in list L is a positive number. The average of all 48 numbers in both lists L and M is 50 percent greater than the average of the 43 numbers in list L. What percent greater than the average of the numbers in list L is the average of the numbers in list M?

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Isabella 2 months 2021-09-26T21:48:43+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-26T21:50:14+00:00

    Answer:

    33\frac{1}{3} \%

    Step-by-step explanation:

    Given:

    The average (arithmetic mean) of the 43 numbers in list L is a positive number.

    The average of all 48 numbers in both lists L and M is 50 percent greater than the average of the 43 numbers in list L.

    Question asked:

    What percent greater than the average of the numbers in list L is the average of the numbers in list M?

    Solution:

    As the total number of observation in both list = 48

    And the number of observation in list L = 43

    Then, the number of observation in list M = 48 – 43 = 5

    Let the average of the 43 numbers in list L = 100

    Then the average of all 48 numbers in both lists L and M = 100+ 100\times50\%

                                                                                                    =100+100\times\frac{50}{100} \\= 100+\frac{5000}{100} \\= 100+50 = 150

    The average of the numbers in list M = 150 – 100 = 50

    To find percent greater than the average of the numbers in list L in compare to average of the numbers in list M,

    Average of the numbers in list L – average of the numbers in list M divided by the average of all 48 numbers in both lists L and M multiplied by 100

    =\frac{100-50}{150} \times100\\\ =\frac{50}{150} \times100\\=\frac{5000}{150} = 33\frac{1}{3} \%

    Thus, 33\frac{1}{3} \% greater than the average of the numbers in list L is the average of the numbers in list M.

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45:7+7-4:2-5:5*4+35:2 =? ( )