Answer:
Angles that are directly across from each other
Step-by-step explanation:
Vertical angles are angles that are directly across from each other, forming an x. They always have the same degree
Supposing, for the sake of illustration, that the mean is 31.2 and the std. dev. is 1.9.
This probability can be calculated by finding z-scores and their corresponding areas under the std. normal curve.
34 in - 31.2 in
The area under this curve to the left of z = -------------------- = 1.47 (for 34 in)
1.9
32 in - 31.2 in
and that to the left of 32 in is z = ---------------------- = 0.421
1.9
Know how to use a table of z-scores to find these two areas? If not, let me know and I'll go over that with you.
My TI-83 calculator provided the following result:
normalcdf(32, 34, 31.2, 1.9) = 0.267 (answer to this sample problem)
Answer:

Step-by-step explanation:
Recall that
. Using this, we can simplify and combine the two terms:
. Therefore, the terms may be combined.
Answer:
-98
Step-by-step explanation:
Answer:
4x +5y = 10
Step-by-step explanation:
Standard form of an equation is Ax +By = C
y=-4/5x+2
Add 4/5 x to each side
4/5 x +y=-4/5x+ 4/5x+2
4/5 x + y = 2
Now we don't have fractions in A ,B or C
So Multiply by 5
5(4/5 x + y) = 2*5
Distribute
4x +5y = 10