What is the area of the following circle?
1 answer:
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Answer:
30.91% probability that the islanders will win exactly one out of four games in a series against the rangers
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The probability that the islanders will beat the rangers in a game is 0.44
This means that
What is the probability that the islanders will win exactly one out of four games in a series against the rangers?
This is P(X = 1) when n = 4. Then
30.91% probability that the islanders will win exactly one out of four games in a series against the rangers
Answer:
1.) Therefore the side parallel to the building is 100 feet.
2.) The side perpendicular to the building is 200 feet.
Step-by-step explanation:
The parking lot, which is rectangular, is built along the side of one of its buildings.
The side of the parking lot which is alongside the building needs no fence,
let us say that this side is of length y.
Let the perpendicular to the building be of length x.
The perimeter of the parking lot that actually needs to be fenced = 2x + y
The amount of fencing available = 400 feet.
Therefore 2x + y = 400 .... (i)
Therefore y = 400 - 2x .... (ii)
The area of the parking lot, A = xy = x ( 400 - 2x) = 400x - .... (iii)
Therefore .... (iv)
Also we get .... (v)
Hence we will get the maximum value of the parking lot by equating the first order differential of area, A to zero as the second order differential of area, A is negative.
Therefore from (iv) we get 400 - 4x = 0 ∴ x = 100 feet
y = 400 - 2x = 400 - 200 = 200 feet.
1.) Therefore the side parallel to the building is 100 feet.
2.) The side perpendicular to the building is 200 feet.