Answer: 4/25
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Explanation:
Let's define two events A and B
A = event of selecting red on the first draw
B = event of selecting red on the second draw
P(A) is the notation that means "probability of event A occurring"
P(A) = 2/5 because there are 2 red marbles out of 5 total (2 red + 3 black = 5)
Similarly, P(B) = 2/5 as well because A and B deal with the same color red, and because Abby put the first marble back
Multiply the probabilities
P(A and B) = P(A)*P(B) ... see note below
P(A and B) = (2/5)*(2/5)
P(A and B) = (2*2)/(5*5)
P(A and B) = 4/25 which is the answer
Note: the equation used is only valid if events A and B are independent, which they are in this case. The fact we put the marble back means the chances of picking red are the same as before.
Answer:
X=3 or X=9
Step-by-step explanation:
Step 1: Subtract 12x-27 from both sides.
x2−(12x−27)=12x−27−(12x−27)
x2−12x+27=0
2: Factor left side of equation.
(x−3)(x−9)=0
Step 3: Set factors equal to 0.
x−3=0 or x−9=0
x=3 or x=9
Y=5x+3 the domain is 3 but the answer is B.8
