<span>Simplifying
X + 4y = 36
Solving
X + 4y = 36
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-4y' to each side of the equation.
X + 4y + -4y = 36 + -4y
Combine like terms: 4y + -4y = 0
X + 0 = 36 + -4y
X = 36 + -4y
Simplifying
X = 36 + -4y</span>
Answer:
a) 
b) 
And replacing we got:
![P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%203%29%20%3D%201-%20%5B0.2%2B0.3%2B0.1%5D%3D%200.4)
c) 
d) 
e) 
f) 
And replacing we got:

And the variance would be:
![Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4](https://tex.z-dn.net/?f=%20Var%28X0%20%3DE%28X%5E2%29-%20%5BE%28X%29%5D%5E2%20%3D%206.4%20-%282%5E2%29%3D%202.4)
And the deviation:

Step-by-step explanation:
We have the following distribution
x 0 1 2 3 4
P(x) 0.2 0.3 0.1 0.1 0.3
Part a
For this case:

Part b
We want this probability:

And replacing we got:
![P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%203%29%20%3D%201-%20%5B0.2%2B0.3%2B0.1%5D%3D%200.4)
Part c
For this case we want this probability:

Part d

Part e
We can find the mean with this formula:

And replacing we got:

Part f
We can find the second moment with this formula

And replacing we got:

And the variance would be:
![Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4](https://tex.z-dn.net/?f=%20Var%28X0%20%3DE%28X%5E2%29-%20%5BE%28X%29%5D%5E2%20%3D%206.4%20-%282%5E2%29%3D%202.4)
And the deviation:

1 cup milk= 1 3/4 cup flour
1 cup flour=3/7 cup cocoa
4cups milk= 4x 1 3/4=7 cups flour
7 cups flour= 7x3/7= 3 cups cocoa
So the answer would be 3 cups of Cocoa
Answer:
4
Step-by-step explanation:
I see the cosine in problem 7 and I see the cotangent in problem eight. So I know that you're talking about trig functions in class. Problem 9 is trying to find out if you know what they're good for. You have a right triangle and you know the lengths of all three sides. So you can easily find the sine or the cosine or the tangent or the cotangent of the angle. Pick one and calculate the number. Then use your calculator to find the angle that has that number for the trig function that you chose.