One national test has a normal distribution with a mean of 500 and a standard deviation of 100, while a second test has a normal distribution with a mean of 18 and a standard deviation of 6. A student scored 677 on one test and 29 on the other. Relative to the respective distributions, which score is better? A: The scores are equally strong.

B: The score of 677 is better.

C: It is improper to compare scores for the same student on different exams.

D: A comparison cannot be made without knowing the number of students who took the exam.

E: The score of 29 is better.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0