Which option identifies which of the two studies described has the more reliable data set and explains why? Study 1: A survey was conducted 10 times, and the standard deviation was 7.8 percent of the mean.

Study 2: A survey was conducted 100 times, and the standard deviation was 14.5 percent of the mean.

Because the data distribution is more spread out as standard deviation increases, study 1 is more reliable.
Because the margin of error increases as sample size increases, study 1 is more reliable.
Because the data distribution is less spread out as standard deviation increases, study 2 is more reliable.
Because the margin of error decreases as sample size increases, study 2 is more reliable.

Study 2 because it has been done 100 times

Step-by-step explanation:

2x3 – 6x2 – 14x + 24 square centimeters

if i'm wrong i'm sorry : )

-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