Carl's candies has determined that a candy bar measuring 3 inches long has a z-score of +1 and a candy bar measuring 3.75 inches long has a z-score of +2.
what is the standard deviation of the length of candy bars produced at carl's candies?
a 0.75
b 3
c 3.75
d 2

A 0.75

Step-by-step explanation:

Formula for z-score :

, where x= random variable

= Population mean

= Standard deviation

As per given , we have

From (i) and (ii) , we have

Hence, the standard deviation of the length of candy bars produced at Carl's Candies is 0.75.

Thus , the correct answer is A.  0.75.

-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

yes

step-by-step explanation: