Answer:
The variable representation is x, x+2 and x+4 for this sequence.
Step-by-step explanation:
Given that:
The sum of 3 consecutive even numbers is 78.
Let,
The first even number is represented by x.
As the numbers are consecutive, thus,
First even number = x
Second even number = x+2
Third even number = x+4
Hence,
The variable representation is x, x+2 and x+4 for this sequence.
In a hand of 5 cards, you want 4 of them to be of the same rank, and the fifth can be any of the remaining 48 cards. So if the rank of the 4-of-a-kind is fixed, there are
possible hands. To account for any choice of rank, we choose 1 of the 13 possible ranks and multiply this count by
. So there are 624 possible hands containing a 4-of-a-kind. Hence A occurs with probability

There are 4 aces in the deck. If exactly 1 occurs in the hand, the remaining 4 cards can be any of the remaining 48 non-ace cards, contributing
possible hands. Exactly 2 aces are drawn in
hands. And so on. This gives a total of

possible hands containing at least 1 ace, and hence B occurs with probability

The product of these probability is approximately 0.000082.
A and B are independent if the probability of both events occurring simultaneously is the same as the above probability, i.e.
. This happens if
- the hand has 4 aces and 1 non-ace, or
- the hand has a non-ace 4-of-a-kind and 1 ace
The above "sub-events" are mutually exclusive and share no overlap. There are 48 possible non-aces to choose from, so the first sub-event consists of 48 possible hands. There are 12 non-ace 4-of-a-kinds and 4 choices of ace for the fifth card, so the second sub-event has a total of 12*4 = 48 possible hands. So
consists of 96 possible hands, which occurs with probability

and so the events A and B are NOT independent.
Answer:
9x-8 is the simplified form
Answer:
1 and 2 go in the 2nd area and 3 gos to the 1st and 4th gos to the last one
Step-by-step explanation:
hope this helped!
P.S. can i pls have brainlyist am trying to lv up thx! ;D
Answer:
21 minutes
Step-by-step explanation:
30%=9
10%=3
100%-30%=70%
7×10%=70%
3x7=21
=21minutes