A professor grades students on 4 tests, a term paper, and a final examination. Each test counts as 15% of the course grade. The term paper counts as 20% of the course grade. The final examination counts as 20% of the course grade. Alan has test scores of 80, 78, 92, and 84. Alan received an 84 on his term paper. His final examination score was 88. Use the weighted mean formula to find Alan’s average for the course. Hint: The sum of all the weights is 100%=1.

Final grade:     84.50

Step-by-step explanation:

We multiply the score by the weight in the final note. THen, we add up all the weighted scored and get the final score.

15% x 80  =      12

15% x 78  =       11.7

15% x 92  =      13.8

15% x 84  =      12.6

20% x 84  =      16.8

20% x 88  =       17.6    

Final grade:     84.50

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.