Answer:
It is not possible for Alice to score an average of 75% because what she needs to score in the fifth exam exceeds the maximum possible score.
Step-by-step explanation:
She scored an average 68% in all 4 exams.
This means; (68% + 68% + 68% + 68%)/4
Now, a fifth exam is added and we want to know if her average can now be 75%.
Thus, let the score in the 5th exam be x and we now have;
(68% + 68% + 68% + 68% + x)/5 = 75%
Multiply both sides by 5 to get;
(68% + 68% + 68% + 68% + x) = 375%
272% + x = 375%
x = 375% - 272%
x = 103%
The maximum score is 100% and therefore it is impossible for her to score 103%. Therefore it is not possible for Alice to score an average of 75%
Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(6+x) * 6 =(5+x+3) *5
(6+x) * 6 =(x+8) *5
Distribute
36+6x = 5x+40
Subtract 5x from each side
36+6x-5x = 5x-5x+40
36+x = 40
Subtract 36 from each side
36+x-36 = 40-36
x = 4
Answer:
Step-by-step explanation:
the formula for an arithmetic sequence is
a, a+d,a+3d,a+3d etc, where d is the common difference
we have the terms -6, 13,23
first term is -6
-6+19=13
however, 13+10=23
this is not an arithmetic sequence
The domain { x | x = -5 , -3 , 1 , 2 , 6}
Answer:
A
Step-by-step explanation: