Answer:
50
Step-by-step explanation:
MHJ and LHK are vertical angles, which means they are equal
2x-20 = x+15
Subtract x from each side
2x-20-x = x+15-x
x-20 = 15
Add 20 to each side
x-20+20 = 15+20
x = 35
We want to find MHJ
MHJ =2x-20
=2(35) -20
= 70 -20
= 50
Step-by-step explanation:
A can is a cylinder.
Volume of a can = Volume of Cylinder

Given Radius = 3.2 inches and height = 15 inches,
Volume of one olive oil can =

Volume of 5 olive oil cans = 5 x volume of one olive can

I will just leave the answer in terms of pi as I'm not sure if you need to round off your answers.
Answer: 121
Step-by-step explanation:
To check whether a function is odd or even, we simply substitute the argument by its negative version, namely "x" by "-x".
if the expression simplifies to resemble the original expression, that simply means the expression is
even. If it resembles the original negative expression, is
odd.

well, that doesn't look like the original
- 2x³ - 9, so is not
even.
and -f(x) would be
2x³ + 9, and that doesn't look like either, so is not
odd.
thus is neither.
The probability would be 0.9738.
We first find the z-score for each end of this interval:
z = (x-μ)/(σ/√n) = (100-110)/(18/√49) = -10/(18/7) = -3.89
z = (x-μ)/(σ/√n) = (115-110)/(18/√49) = 5/(18/7) = 1.94
Using a z-table (http://www.z-table.com) we see that the probability that a score is less than the first z-score is 0. The probability under the curve to the left of, less than, the second z-score is 0.9738. Subtracting these we find the area between them:
0.9738 - 0 = 0.9738.