Answer: D
Step-by-step explanation:
6i+10i+7
=16i+7
I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.
A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.
Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.
The number of ways of drawing 2 aces and 3 2s is

and the number of ways of drawing 3 aces and 2 2s is the same,

so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.
Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is

The total number of hands that can be drawn is

Then the probability of getting a full house is

Answer:
-7x^2 + 3x + 5
Step-by-step explanation:
-3x^2 + x + 5 - 4x^2 + 2x
Brianna listen 60 songs on Saturday !
<u>Step-by-step explanation:</u>
Here we have , On Saturday, 45% of the music Brianna listened to was country songs. She listened to 27 country songs on Saturday. How many songs did Brianna listen to on Saturday .Let's find out:
Let Brianna listens x songs ! So , 45% of x songs is 27 songs , i.e. On Saturday, 45% of the music Brianna listened to was country songs. She listened to 27 country songs on Saturday as :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , Brianna listen 60 songs on Saturday !
Answer:
(2,-1)
Step-by-step explanation:
Multiply first equation by 2:
10x + 2y = 18
Subtract the second equation from this so that the 2y terms cancel:
10x - 3x = 18 - 4
7x = 14
x = 2
Plug into first equation to find y:
5(2) + y = 9
10 + y = 9
y = -1
The answer is (2,-1)