Answer:
Answer b
Step-by-step explanation:
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Answer: The required probability is 9.09%.
Step-by-step explanation: Given that a jar contains 6 blue, 4 red, and 2 green marbles.
We are to find the probability that three blue marbles are drawn with out replacement.
Total number of marbles = 6 + 4 + 2 = 12.
After drawing one blue marble, we are left with total 11 marbles. And after drawing the second blue marble, we are left with total 10 marbles.
Therefore, the probability of drawing three blue marbles without replacement is given by

Thus, the required probability is 9.09%.
Answer:
4x^2 + 4x -2
Step-by-step explanation:
Use FOIL to solve (x+2) (x+2)
4(x^2 + 4x +4) - 6
4x^2 + 4x -2
Answer:
x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
Step-by-step explanation:
Solve for x over the real numbers:
x/x - 1 = x - 3 - 2/x
x/x - 1 = 0:
0 = x - 3 - 2/x
0 = x - 3 - 2/x is equivalent to x - 3 - 2/x = 0:
x - 3 - 2/x = 0
Bring x - 3 - 2/x together using the common denominator x:
(x^2 - 3 x - 2)/x = 0
Multiply both sides by x:
x^2 - 3 x - 2 = 0
Add 2 to both sides:
x^2 - 3 x = 2
Add 9/4 to both sides:
x^2 - 3 x + 9/4 = 17/4
Write the left hand side as a square:
(x - 3/2)^2 = 17/4
Take the square root of both sides:
x - 3/2 = sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
x = 3/2 + sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
Answer: x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2