Answer:
P(a|b) = 1/2
Step-by-step explanation:
* Lets study the meaning independent probability
- Two events are independent if the result of the second event is not
affected by the result of the first event
- If A and B are independent events, the probability of both events
is the product of the probabilities of the both events
- P (A and B) = P(A) · P(B) ⇒ P (A ∩ B) = P(A) · P(B)
- If A and B are two events, then the conditional probability of A
given B is defined as P(A|B) = P(A∩B)/P(B)
* Lets solve the problem
∵ P(a) = 0.50
∵ P(b) = 0.20
∵ a and b are independent events
∴ P (a ∩ b) = P(a) · P(b)
∴ P (a ∩ b) = 0.50 × 0.20 = 0.10
∵ P(a|b) = P(a∩b)/P(b)
∴ P(a|b) = 0.10/0.20 = 1/2
* P(a|b) = 1/2
Answer:
x = -7 or x = 1
Step-by-step explanation:
Given expression:
(x + 3)² = -16
Problem;
Solve for x;
Solution:
To solve for x; we use the factorization method;
Take -16 to the left of the equation;
(x + 3)² = -16
(x + 3)² + 16 = 0
(x+ 3)² + 4² = 0
if x² + y² = (x + y)(x - y)
So;
(x + 3 + 4) (x + 3 - 4) = 0
(x + 7)(x - 1) = 0
x + 7 = 0 or x - 1 = 0
x = -7 or x = 1
The answer is A. The player runs 7 meters forward and then runs 7 meters in the opposite direction. Hope it helped!
- Shadow.
You probably meant: "<span>utilize as much of the space AS POSSIBLE on the paper."
Set up and solve an equation of ratios:
3 8.5
---- = -------
5 x
Then 3x = 42.5. The image on the paper would be 8.5 by 42.5/3 inches, or 8.5 by 14.17 inches. Won't fit!!
So, try this instead:
</span> 3 x
---- = -------
5 11
Then 5x =33, and x = 6.6. An image with the same proportions as the 3x5 card will be 6.6 by 11 inches on the 8.5 by 11 inch paper.
Yes, it does apply when you add negative integers