Answer:
(a) P(A1 ∪ A2) = 0.35
Step-by-step explanation:
(a) A1 ∪ A2 :
We start by defining the events.
A1 : '' awarded project 1''
A2 : ''awarded project 2''
A3: ''awarded project 3''
In set theory we write the union of events A and B as A∪B.
A∪B means that the event A occurs,event B occurs or either both events occurs at the same time.
The probability is given by the equation :
P(A∪B) = P(A) + P(B) - P(A∩B) (1)
Where the event (A∩B) is the event where A and B occur at the same time
and P(A∩B) is the probability of (A∩B)
Using the equation (1) :
P(A1 ∪ A2) = P(A1) + P(A2) - P(A1∩A2)
P(A1 ∪ A2) = 0.22 + 0.25 - 0.12
P(A1 ∪ A2) = 0.35
9514 1404 393
Answer:
9(x +y)
Step-by-step explanation:
You observe that both terms have a coefficient of 9. The distributive property lets you factor that out, so you can rewrite the expression as ...
9x +9y = 9(x +y)
_____
It might help to think of parentheses as a "bag." The expression 9(x+y) tells you the contents of one bag is (x+y) and you have 9 of them. You could think of x, and y as representing two different physical objects, for example, perhaps a ball and a cube.
The first expression, 9x +9y, tells you that you have 9 of each of these objects. The distributive property says this could be the result of dumping the contents of 9 bags, each containing one each of the objects. The expression 9(x+y) is the version of the expression that shows these objects as being grouped into 9 bags.
Answer:
x=4
Step-by-step explanation:
Pentagon's sum of interior angle is 540°
let's add all the given degrees
100+20x+16x+16+140+160-5x=540
Collect like terms
100+16+140+160+20x+16x-5x=540
416+31x=540
31x=540-416
31x=124
x=124/31
x=4```
Answer:
4
Step-by-step explanation:
hi! let's divide -24 and -6 to simplify this. this is the same answer as 24/6 since two negatives that are divided by each other equal a positive number, and 24 divided by 6 is 4, so the answer is 4.
Answer:
Answer:Rolling a odd number is 1/5 and rolling a number less than five is 3/5
Step-by-step explanation:
