I will be including both an basic explanation of what it is and its proof.
I'm guessing you are either learning about conditional probability at school or preparing for competitions.
Baye's theorem states:

That is the theorem itself and it means that the probability that event A happens given B is true equals the probability event B happens given A is true times the probability event A happens divided by the probability B happens.
That was the basic of the theorem and the proof of this is basically just testing how well you understand what conditional probability is.


Now we know that the probably that A and B both happens is the same as the probably that B and A both happens.
Therefore P(A|B) can be seen as P(B|A) multiplied by P(A) and then divided by P(B) which gives the right hand side of the first equation. And this is basically the theorem.

**Note P(B) have to be not equal to 0 because having a 0 in the denominator would make this equation undefined.
If you have any questions or need further explanations please ask me in the comments of the answer, I hope this helped!
Answer:
Step-by-step explanation:
given,
a) √x + 6 = 4
to solve the above equation subtract both side with 6
√x + 6 - 6 = 4 - 6
√x = -2
squaring both side
(√x)² = (-2)²
x = 4
a) ∛x + 6 = 4
to solve the above equation subtract both side with 6
∛x + 6 - 6 = 4 - 6
∛x = -2
cubing both side
(√x)³ = (-2)³
x = -8
C= chair cost
t= table cost
Create two equations with the given information. Solve for one variable in equation one. Substitute that answer in equation two. Then you can solve for the needed information.
3c+2t=$18
5c+6t=$48
3c+2t=18
Subtract 2c from both sides
3c=18-2t
Divide both sides by 3
c=(18-2t)/3
Substitute the value for c in equation two:
5c+6t=$48
5((18-2t)/3)+6t=48
(90-10t)/3+6t=48
Multiply everything by 3 to eliminate fraction
(3)((90-10t)/3)+(3)(6t)=(3)(48)
90-10t+18t=144
90+8t=144
Subtract 90 from both sides
8t=54
Divide both sides by 8
t=$6.75 cost for table
Substitute the t value to solve for c:
3c+2t=18
3c+2(6.75)=18
3c+13.50=18
3c=4.50
c=$1.50 chair cost
Check:
5c+6t=$48
5(1.50)+6(6.75)=48
7.50+40.50=48
48=48
Hope this helps! :) If it does, please mark as brainliest.
Answer:
Step-by-step explanation:
4=y/8+1
rewrite equation
y/8 + 1 = 4
move all terms not containing y to the right of the equation
y/8 = 3
multiply both sides of the equation by 8
8 x y/8 = 8 x 3
simplify both sides of the equation.
y = 24
Answer:
Your answer is he’s going to die out of Obesity
Step-by-step explanation: