There are 13 hearts in the deck of 52.
If we want to simply choose 7 of them, we use combinatorics, and not permutations.
Thus, the total number of ways to choose 7 of the 13 hearts, is: ¹³C₇ or 1716 ways.
The total in our sample space is simply choosing 7 of the 52 cards, which is: ⁵²C₇ or 133 784 560.
Thus, the probability becomes:
The possible values (L,W): (1,7),(2,6),(3,5),(5,3),(6,2),(7,1)
Answer:
-2
Step-by-step explanation:
x^2 + x=2
Subtract 2 from each side
x^2 + x-2=2-2
x^2 + x-2=0
Factor
What 2 numbers multiply to -2 and add to 1
2*-1 = -2
2+-1 =1
(x-1)(x+2)=0
Using the zero product property
x-1 = 0 x+2 = 0
x=1 x = -2
Product of the roots
1*-2 = -2
Answer:
Step-by-step explanation:
650 - 50 one off fee = 600
600÷150=4 hours
<span>2(4x - 12) + 3x = 6x + 1
Distribute.
8x - 24 + 3x = 6x + 1
Combine like terms.
11x - 24 = 6x + 1
5x = 25
x = 5
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