P(A) = probability of event A, P(B) = probability of event B
P(A) = x is given to us
P(B) = y is also given
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If A and B are independent, then neither event affects the other. If we know A happens, then that doesn't change the probability of B happening (vice versa).
So that means P(A|B) = P(A) = x and P(B|A) = P(B) = y
This points to the answer being P(B|A) = y which is choice A or the first answer choice
note: P(A|B) is read as "probability of A given that B has happened". It is known as conditional probability. The symbol between the A and B is not the letter i or L, it is a vertical pipe symbol to separate the letters.
Answer: The required probability is
Step-by-step explanation:
Since we have given that
Divisors of 64= 1,2,4,8,16,32,64
Sum would be less than 32
Since it has 7 divisors in total.
If we select any two distinct divisors from first five divisors, the sum will always less than 32.
So, the probability that their sum will be less than 32 is given by
Hence, the required probability is
Answer:
Step-by-step explanation:
Because we have to rewrite this equation in the format , we have to divide, or factor to find basic terms,
Expanding the value of k(x), we have . We see that each term can be divisible by 4, so we can factor out 4 to get
Now, we have two different terms getting multiplied. We can separate the two to get
Because we are multiplying 4 by the other term, this is represented by
Now, we can just set f(x) and g(x) to these functions:
Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.
Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).
Answer:
p > 4
Step-by-step explanation:
your welcome
Answer:
d. p = 2*20 + 2*10
Step-by-step explanation:
You know to find the perimeter, just add side + side + side + side.
And two pairs of sides on a rectangle are congruent, so the missing side lengths based on the width and length, will be 20 & 10.
So add 20 + 20 + 10 + 10.
To simplify this, say 2*20 and 2*10. And then add them.
So it is D