Elaine gets quiz grades of 71, 75, and 64. she gets a 60 on her final exam. find the weighted mean if the quizzes each count for 20% and the final exam counts for 40% of the final grade. round to one decimal place.

Answer

Find out the weighted mean .

To prove

As given

Elaine gets quiz grades of 71, 75, and 64.

She gets a 60 on her final exam

if the quizzes each count for 20% and the final exam counts for 40% of the final grade.

20 % is written in the decimal form

= 0.20

40 % is written in the decimal form

= 0.40

20% of 71 =  0.20 × 71

               = 14.2

20% of 75 =  0.20 × 75

                 = 15

20% of 64 =  0.20 × 64

                 = 12.8

40% of 60  = 0.40 × 60

                  = 24

Thus

Weighted mean = 14.2 + 15 + 12.8 + 24

                           = 66

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40