You must follow the steps below:
1. First, you should apply the dstributive property:
=(x²-<span>8x+15/3x)(8x/x-3)
=(8</span>x³-64x²+120x)/3x(x-3)
2. As you can see, the common factor in the numerator is: "8x". So, you have:
=8x(x²-8x+15)/3x(x-3)
3. Then, when you simplify, you obtain:
=8(x²-8x+15)/3(x-3)
Therefore, the solution is: 8(x²-8x+15)/3(x-3)
2/7 x 1/3 = 2/21. it is already simplified so your answer is 2/21
$160 marked down 25% would be 40
Answer:
A and B are independent events if P(A ∩ B) = 0.06
Step-by-step explanation:
Two events A and B are independent if the probability of occurrence of A does not influence the occurrence of B.
Mathematically it is written that A and B are independent events if and only if:
P(A ∩ B) = P(A)P(B)
We know that:
P(A) = 0.20
P(B) = 0.30
Then A and B are independent if:
P(A ∩ B) = (0.20)(0.30)
P(A ∩ B) = 0.06
Finally A and B are independent events if P(A ∩ B) = 0.06