The events A and B are independent if the probability that event A occurs does not affect the probability that event B occurs.
A and B are independent if the equation P(A∩B) = P(A) P(B) holds true.
P(A∩B) is the probability that both event A and B occur.
Conditional probability is the probability of an event given that some other event first occurs.
P(B|A)=P(A∩B)/P(A)
In the case where events<span> A and B are </span>independent<span> the </span>conditional probability<span> of </span>event<span> B given </span>event<span> A is simply the </span>probability<span> of </span>event<span> B, that is P(B).</span>
Statement 1:A and B are independent events because P(A∣B) = P(A) = 0.12. This is true.
Statement 2:<span>A and B are independent events because P(A∣B) = P(A) = 0.25.
This is true.
Statement 3:</span><span>A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25.
This is true.
Statement 4:</span><span>A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25
This is true.</span>
Answer:
-13a^2 + 170ab - 13b^2.
Step-by-step explanation:
1. 36(a+b)^2 - 49(a-b)^2
This is the difference of 2 squares: a^2 - b^2 = (a + b)(a - b).
36(a+b)^2 - 49(a-b)^2
= (6(a + b) + 7(a - b))( 6(a + b) - 7(a - b))
= (6a + 7a + 6b - 7b)( 6a - 7a + 6b + 7b)
= (13a - b)(-a + 13b)
If you require the expansion of this it is:
-13a^2 + 170ab - 13b^2.
Hey
Question 1: For this one, we simply need to look at the "fat grams over 25" and the "Total" sections. We can see that 27 out of 50 have fat grams over 25. This written as a percentage is: 54%
Question 2: Using the same logic above we conclude the answer is 45.45%
Question 3: For this we need to look at the "total" section and the answer is 50
Question 4: We add all the "over 300" and write it as a percentage out of 50 which is 14%
Question 5: Same as #1 answer is 21%
Hope this helps
Answer:
Option 1: -8c^8
Step-by-step explanation:
We multiply the numbers by the numbers, then the variables times the variables.
-2 times 4 gives us -8
c^3 times c^5 = c ^8. When multiplying a variable with exponents, you add the exponents.
You only multiply the exponents when it's something like (c^3)^5
I would pick the third choice because in order to find x, you must multipy your 4.
