Answer:
x=5
Step-by-step explanation:
for the work I use a website called symbolab.com and it does all the work and everything for you!
It is read as a minus b minus c whole square. The (a - b - c)2 formula is expressed as (a - b - c)2 = a2 + b2 + c2 - 2ab + 2bc - 2ca.
9514 1404 393
Answer:
A) 29/40
Step-by-step explanation:
The formula for this is ...
P(A or B) = P(A) + P(B) - P(A and B)
Filling in the given values, you have ...
P(A or B) = 9/20 +1/2 - 9/40
P(A or B) = 18/40 +20/40 -9/40 = (18+20-9)/40
P(A or B) = 29/40 . . . . matches choice A
X 1, 2, 3, 4 Y -2, -10, -18, -26
Answer:
True
Step-by-step explanation:
If two events X and Y are mutually exclusive,
Then,
P(X∪Y) = P(X) + P(Y)
Let A represents the event of a diamond card and B represent the event of a heart card,
We know that,
In a deck of 52 cards there are 4 suit ( 13 Club cards, 13 heart cards, 13 diamond cards and 13 Spade cards )
That is, those cards which are heart can not be diamond card,
⇒ A ∩ B = ∅
⇒ P(A∩B) = 0
Since, P(A∪B) = P(A) + P(B) - P(A∩B)
⇒ P(A∪B) = P(A) + P(B)
By the above statement,
Events A and B are mutually exclusive,
Hence, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event is a true statement.