Factor 3x^2 + 7x + 2
2 answers:
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Answer:
Step-by-step explanation:
Formula : Probability =
Given , Sam has 4 cards numbered 2,3,5, and 7.
His friend has 4 cards numbered 1,2,6 and 7.
If they both draw one card and put that on table , then the possible combinations of cards would be (2,1) , (2,2), .... (7,6), (7,7).
i.e. Number of possible outcomes would be (S) 4 x 4 = 16
Favorable outcomes that they will choose same number (F) = (2,2) , (7,7)
Now , the probability that they will both choose the same number would be :
Hence, the required probability =
Answer:
1.875
Step-by-step explanation:
To find the expected winnings, we need to find the probability of all cases possible, multiply each case by the value of the case, and sum all these products.
In the die, we have 6 possible values, each one with a probability of 1/6, and the value of each output is half the value in the die, so we have:
Now, analyzing the coin, we have heads or tails, each one with 1/2 probability. The value of the heads is 2 wins, and the value of the tails is the expected value of the die we calculated above, so we have:
So the equation basically is 3x-2=y. The x intercept is when y is 0. We need to move the equation so it equals x.
3x-2=y
Let's add 2 to both sides.
3x=y+2
Now divide.
(y+2)/3=x
Let's make y=0.
(0+2)/3
2/3=x
So, the x intercept is (0,2/3). We could even look on a graph (below).
3x-2=y
Let's add 2 to both sides.
3x=y+2
Now divide.
(y+2)/3=x
Let's make y=0.
(0+2)/3
2/3=x
So, the x intercept is (0,2/3). We could even look on a graph (below).