First we distribute

into

and

.


That makes the left side of the equation

Now we subtract

from

, which makes

Now the equation is

Our goal is to isolate

, so we both sides by 30
That will make the equation

We multiply -1 on both sides of the equation:

Finally we simplify

, which makes
So the answer is
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:
The 3rd option is correct.
Step-by-step explanation:
This is because of an exponent rule that goes:
(xy)^z = x^z(y^z)
The whole thing gets raised to the power. Therefore only the 3rd one works (ps. if you can mark as brainliest that would be amazing, but if not that's fine)
Answer:
1. $1.60
2. gallon
Step-by-step explanation:
Each gallon of lemonade would cost $1.60.
The rate is $1.60 per gallon.
Hope it helps!
Answer:
Step-by-step explanation:
Given
span of bridge 
height of span 
Equation of Parabola

i.e.


length of Arc




