Answer:
It is known that if Z is a binomial random variable with parameters n and p and in addition, W is a binomial random variable, independent of X, with parameters m and p, it is assumed that the variable R = Z + W, is a binomial random variable with parameters (n + m and p. In this case, m = 1. Therefore, R is a binomial random variable with parameters (n + 1) and p.
Step-by-step explanation:
Sorry, but I don't really feel like doing all of them right now. Instead, heres a tool to help you out with that. Use the mixed numbers calculator and it'll simplify everything for you.
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X=11. Bisects means the angles on both sides of the line are equal, so 4x-16=2x+16 then solve for x
So we will be using dimensional analysis to solve it as such:
In short, 23,843 kL is 6,291,029.02 (6,291,029 rounded to the whole gallon) gallons.
Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
