Answer:
Probability is:
Step-by-step explanation:
From a deck of 52 cards there are 26 black cards. (Spades and Clubs).
Also, there are 26 red cards. (Hearts and Diamonds).
First, we determine the probability of drawing a black card.
P(drawing a black card) =
Now, since we don't replace the drawn card, there are only 51 cards.
But the number of red cards is still 26,
∴ P(drawing a red card) =
Now, the probability of both black and red card =
Hence, the answer.
9514 1404 393
Answer:
y = (5/27)(x -7)^2 -5/3
Step-by-step explanation:
Use the given points to find the unknowns in the equation.
If the axis of symmetry is x=7, then the equation can be written in the form ...
y = a(x -7)^2 +b
Filling in the two point values, we have two equations:
0 = a(4 -7)^2 +b ⇒ 9a +b = 0
5 = a(1 -7)^2 +b ⇒ 36a +b = 5
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Subtracting the first equation from the second, we have ...
(36a +b) -(9a +b) = (5) -(0)
27a = 5
a = 5/27
Substituting that value into the first equation gives ...
9(5/27) +b = 0
5/3 +b = 0
b = -5/3
So, the quadratic can be written in vertex form as ...
y = (5/27)(x -7)^2 -5/3
