A lumber company is making boards that are 2979 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 34 boards is taken, and it is found that they have a mean of 2975.6 millimeters. Assume a population standard
deviation of 12. Is there evidence at the 0.05 level that the boards are either too long or too short?
Step 2 of 3: Find the P-value for the hypothesis test. Round your answer to four decimal places.

20

step-by-step explanation:

-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

the answer is b.

step-by-step explanation:

a long term investor

step-by-step explanation:

because he is a long term investor