Isolate y^2 in (x+4)^2+y^2=22
2 answers:
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Answer:
Step-by-step explanation:
The expected value for a discrete variable is calculated as:
Where and
are the values that the variable can take and
and
are their respective probabilities.
So, a player can win 2 dollars or looses 1 dollar, it means that is equal to 2 and
is equal to -1.
Then, we need to calculated the probability that the player win 2 dollars and the probability that the player loses 1 dollar.
If there are n identical and independent events with a probability p of success and a probability (1-p) of fail, the probability that a events from the n are success are equal to:
Where
So, in this case, n is number of times that the player tosses a die and p is the probability to get a 6. n is equal to 6 and p is equal to 1/6.
Therefore, the probability that a player get at least two times number 6, is calculated as:
On the other hand, the probability that a player don't get at least two times number 6, is calculated as:
Finally, the expected value of the amount that the player wins is:
It means that he can expect to loses 0.2101 dollars.
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Here is the correct computation of the question;
Evaluate the integral :
Your answer should be in the form kπ, where k is an integer. What is the value of k?
(Hint: )
k = 4
(b) Now, lets evaluate the same integral using power series.
Then, integrate it from 0 to 2, and call it S. S should be an infinite series
What are the first few terms of S?
Answer:
(a) The value of k = 4
(b)
Step-by-step explanation:
(a)
The value of k = 4
(b)