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:
There will be 8 possible outcomes.
Step-by-step explanation:
(Assume that there is no other outcome such as "no opinion" and "do not know.")
3 persons are selected at random from this group and their opinions in favor or against raising such taxes are noted.
So, the number of possible outcomes are = 
YYY, YYN, YNY, NYY, YNN, NNY, NYN, NNN
Y = Yes and N = No
Therefore, there will be 8 possible outcomes.
9514 1404 393
Answer:
A. Simon's unit rate is 2 more miles per hour than Eric's unit rate
Step-by-step explanation:
We are concerned with the number of miles each runs in 1 hour.
For Eric, that means x=1 in his equation, so his mileage is ...
y = 6×1 = 6 . . . . miles
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For Simon, it means we want to find time = 1 hour on the horizontal axis at the bottom of the graph. Then we want to see where the graphed line crosses that vertical line. The point of crossing has horizontal line that goes over to 8 on the vertical distance axis. That is, Simon runs 8 miles in 1 hour.
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Eric's unit rate (miles in 1 hour) is 6 miles per hour.
Simon's unit rate (miles in 1 hour) is 8 miles per hour.
Simon's unit rate is 2 more miles per hour than Eric's unit rate.
Answer:
y=3x.........1
y=x^2-10.......2
substituting value of eq 1 to 2
3x=x^2-10
x^2-10-3x=0
x^2-3x-10=0
x^2-5x+2x-10=0
X(x-5)+2(x-5)=0
(x-5)(X+2)=0
then
X=5 or X=-2
again
y=??
when X=5
y=3×5=15
when X=-2
y=-6
Answer:
B
Step-by-step explanation:
