the quality rating of 8 movies showing at a movie theater near you is 5.6, 7.9, 7.0, 5.9, 7.8, 6.2, 6.4, and 5.2. What do the ninth movies n

Question

the quality rating of 8 movies showing at a movie theater near you is 5.6, 7.9, 7.0, 5.9, 7.8, 6.2, 6.4, and 5.2. What do the ninth movies need to be for the theater to average a movie rating of 6.4?

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Edana Edana 5 years 2021-09-03T07:44:39+00:00 1 Answers 14 views 0

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  1. Maris
    0
    2021-09-03T07:45:57+00:00
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    Answer:

    5.6

    Step-by-step explanation:

    Given :

    Quality rating for 8 movies :

    5.6, 7.9, 7.0, 5.9, 7.8, 6.2, 6.4, 5.2

    Let rating for the 9th movie = x

    Average quality rating olfor the 9 movies = 6.4

    To find x :

    Sum of all ratings / number of ratings = 6.4

    (5.6 + 7.9 + 7.0 + 5.9 + 7.8 + 6.2 + 6.4 + 5.2 + x) / 9 = 6.4

    (52 + x) / 9 = 6.4

    52 + x = 57.6

    x = 57.6 – 52

    x = 5.6

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