Simple, use the process of elimination to figure this out:
4x-y=2
2x+9y=-12
Convert these, to be able to find either x or y.
2(4x-y=2) 8x-2y=4 multiply by 2.
then
4(2x+9y=-12) 8x+36y=-48
Which makes them
8x-2y=4
-
8x+36y=-48
-38y=52
This simplified makes it y= -26/19.
Then plug y back into the original equation
4x-y=2
4x-(-26/19)=2
Making it x= 3/19.
Thus your Point of Intersection is at (3/19, -26/19)
Answer and Step-by-step explanation:
A) The first three terms are:
5, 8, 11
B) The tenth term is 32
You find the answer by plugging in the value for n. So for A), you would plug in 1, 2, and 3 (the first 3 terms), then to find the tenth term, you plug in 10 for n.
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Answer:
(a)
The probability that you stop at the fifth flip would be
(b)
The expected numbers of flips needed would be
Therefore, suppose that 
, then the expected number of flips needed would be 1/0.5 = 2.
Step-by-step explanation:
(a)
Case 1
Imagine that you throw your coin and you get only heads, then you would stop when you get the first tail. So the probability that you stop at the fifth flip would be
Case 2
Imagine that you throw your coin and you get only tails, then you would stop when you get the first head. So the probability that you stop at the fifth flip would be
Therefore the probability that you stop at the fifth flip would be
(b)
The expected numbers of flips needed would be
Therefore, suppose that , then the expected number of flips needed would be 1/0.5 = 2.
Answer:
Step-by-step explanation:
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