<span>Simplifying
p = 1.7 <----------- Thats your solution</span>
I'm assuming you meant to say
P(A) = 2/3
P(A and B) = 1/3
If that is the case, then A and B are independent if and only if the following equation is true
P(A and B) = P(A)*P(B)
So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it
-------------------------
P(A and B) = P(A)*P(B)
P(A)*P(B) = P(A and B)
(2/3)*P(B) = 1/3
P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3
P(B) = (1*3)/(3*2)
<h3>P(B) = 1/2 is the answer</h3>
------------------------
If P(B) = 1/2, then
P(A and B) = P(A)*P(B)
P(A and B) = (2/3)*(1/2)
P(A and B) = (2*1)/(3*2)
P(A and B) = 1/3
Which is the given probability for both events happening. This confirms we have the correct P(B) value.
Hello,
This is not an equation but an expression.
We must see the sign "=" in a equation!
Netherless,
12x^4-27x^3+6x²=3x²(4x²-9x+2)=3x²(4x²-8x-x+2)
=3x²(4x(x-2)-1(x-2))
=3x²(x-2)(4x-1)
Answer:
x = 2
Step-by-step explanation:
log27(x + 7) - log27(x - 1) = ⅔
log27[(x + 7)/(x - 1)] = ⅔
(x + 7)/(x - 1) = 27^⅔
(x + 7)/(x - 1) = 9
x + 7 = 9(x - 1)
x + 7 = 9x - 9
8x = 16
x = 2