To get the probability of two individual events both occurring,
you have to multiply the probabilities of their individual events occurring. Therefore
in this problem, the probability that a student selected at random will pass
both French 101 and French 102 is 0.683 (.75 x .91). The answer is already
rounded to three decimal places.
Answer:
x = 1.153846153846154
y = -1.923076923076923
Step-by-step explanation:
Multiply 7x - y = 12 by -4 and then add it to 2x - 4y = 10
2x - 4y = 10
+(-4( 7x - y = 12))
-26x = -30

x = 1.153846153846154
Then plug in x to get y.
2(1.153846153846154) - 4y = 10
2.307692307692308 - 4y = 10
-2.307692307692308 -2.307692307692308
-4y = 7.692307692307692

y = -1.923076923076923
Answer:
41887.90 cubic feet
Step-by-step explanation:
We need to find the volume of the silo.
We simply need to find the volume of the cylindrical part and the conical part and add them together.
The body of the silo is a cylinder with height of 30 ft and radius of 20 ft and the roof is a cone with height 10 ft and radius 20 ft.
The volume of a cylinder is given as:

The volume of a cone is given as:

where r = radius of cylinder and cone
h = height of cylinder
H = height of cone
Adding them together, we have that the volume of the silo is:

![V = \pi r^2 (h + \frac{1}{3}H)\\ \\V = \pi * 20^2 (30 + [\frac{1}{3}* 10]) \\\\V = 1256.64 ( 30 + 3.33)\\\\V = 1256.64(33.33)\\\\V = 41887.90 ft^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20r%5E2%20%28h%20%2B%20%5Cfrac%7B1%7D%7B3%7DH%29%5C%5C%20%5C%5CV%20%3D%20%5Cpi%20%2A%2020%5E2%20%2830%20%2B%20%5B%5Cfrac%7B1%7D%7B3%7D%2A%2010%5D%29%20%5C%5C%5C%5CV%20%3D%201256.64%20%28%2030%20%2B%203.33%29%5C%5C%5C%5CV%20%3D%201256.64%2833.33%29%5C%5C%5C%5CV%20%3D%2041887.90%20ft%5E3)
The volume of the silo is 41887.90 cubic feet.