If you take all the possible 5 card draws, and multiply that by the probability all 5 cards are hearts, the result is all the possible 5 heart draws.
The number of ways to draw 5 cards from 52 is a combination...52C5. Remember the formula for combinations:
nCk = n! / (k! * (n-k)!. In this case n=52 and k=5:
52!/(5!*(52-5)!)= 52!/(5!*47!) = (52*51*50*49*48)/(5*4*3*2*1) = 2,598,960.
That's the total number of five-card combinations. But what is the probability that all five cards are hearts? There are 13 hearts in the deck of 52 cards.
P card 1 being a heart is 13/52.
<span>P card 2 being a heart (there are one less card and one less heart) is 12/51
</span>
<span>P card 3: 11/50
P card 4: 10/49
P card 5: 9/48
</span>
The probability of all five events is the product of their probabilities:
13/52 * 12/51 * 11/50 * 10/49 * 9/48 = 0.000495198079231693.
The number of combinations of five cards, times the probability of all five hearts, gives us the answer we want.
0.000495198079231693*2,598,960=1,287.
A graph's correlation between two variables reveals the relationship between them. The correlation is given a name based on the characteristics of the variables represented on the graphs.
What does the term correlation mean?
The data points of a person with two different factors are related in a scatterplot. The term "correlation" refers to this connection.
A correlation is the relationship between any two variables represented on any graph.
The correlation is divided into three main categories based on the sort of relationship between the variables. Those are
i) Positively correlation
ii) Negative correlation
iii) No correlation
To learn more about correlation visit:
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Answer:
-384x - 120y
Step-by-step explanation:
General Concepts and Formulas:
Brackets
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Steps:
1) Distribute
We must distribute the expression above by multiplying -12 by the coefficients and then adding the variables.
So first, multiple -12 by 32 and add the variable 'x' when getting the product:
-12(-384x - 10y)
Now that we have one part, let's solve the other part.
We now must multiple -12 by -10, which gets us 120, now we must plug in:
(-384x - 120y)
(Remove parenthesis)
⇒ -384x - 120y
