Kimberly's grade in Algebra is comprised of tests (40%), quizzes (40%), and a final project (20%). Her scores for each of the categories are 82 on tests, 100 on quizzes, and a 84 on her final project. Compute her weighted average for the class. (to the nearest tenth of a percent) A) 86.4% B) 88.6% C) 89.1% D) 89.6%

D) 89.6 %

Average  or mean of the given data = 89.6 %

Step-by-step explanation:

Step(i):-

Given data

        X      :     82        100        84

P(X=x)       :    0.40      0.40     0.20

Step(ii)

Let 'X' be the discrete distribution

Mean of the discrete distribution = ∑ x P( x=x)

                                                       = 82 ×0.40 +100 ×0.40 +84 ×0.20

                                                       = 89.6

Final -

Average of the given data = 89.6 %