Answer:
a. 14 and 14= (-1)56+1(44)
b. 3 and 3= (-4)60+3(81)
Step-by-step explanation:
Case 1: GCD is the highest common divisor for both numbers without reminder
a. GCD of 56 and 42 = 14
b GCD of 81 and 60 = 3
Case 2: Express GCD as a Linear combination.
a. GCD = 14 which is also the difference between 56 and 42
Therefore
14= (-1)56+1(44) expresses 14 as a linear combination of 56 and 44.
b. GCD=3, we need to look for a multiple of 60 and 81 that their differences would be 3
Therefore the multiples are:
For 60 = 240 (60×4)
For 81 = 243 (81×3)
3= (-4)60+3(81) expresses 3 as a linear combination of 81 and 60
Answer:
125%
Step-by-step explanation:
divide 250% by 2
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: 36 centimeters.
Step-by-step explanation:
Given : Area of a rectangular poster = 504 square centimeters.
The width of the poster is 14 centimeters.
We know that area of rectangle :-

Let l be the length of the poster .
Substitute the above values into this , we get

i.e. 
Divide both sides bby 14 , we get

Hence, the length of the poster = 36 centimeters.