Answer:

Step-by-step explanation:
Just factored out the 10.
Total number of marbles in the bag =20
Number of blue marbles =4
Now we just want two blue marbles out of four.
Probability of taking out first marble which is blue =4/20
Now after we took out one blue marble , number of blue marbles left are 3.
Probability of taking out second marble which is blue =3/20
Total probability = 4/20 *3/20 = 12/400
So probability of taking out two blue marbles is 0.03 or 12/400.
The partial fraction decomposition is 
<h3>How to determine the decomposition?</h3>
The fraction is given as:

Split the fraction as follows:

Take the LCM

Cancel the common factors
8x + 19 = Ax - A + Bx + 8B
By comparison, we have:
Ax + Bx = 8x
-A + 8B = 19
This gives
A + B = 8
-A + 8B = 19
Add both equations
9B = 27
Divide by 9
B = 3
Substitute B = 3 in A + B = 8
A + 3 = 8
Solve for A
A = 5
So, we have:

Hence, the partial fraction decomposition is 
Read more about partial fraction at:
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So volue of a cone=1/3 times (area of base[which is a circle]) times height
area of base=area of circle=pi time radius^2
area=pi times 5^2
area=pi times 25=25pi
1/3 times 25pi times 18
25pi times 18 times 1/3
25pi times 18/3
25pi times 6=150pi
the answer is 150π in^3 or 150π cubic inches or C
( to solve, aprox pi to 3.141592 an multiply 150 by 3.141592=471.239 in^3)