Vid R.

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Geometry

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Question:

Angles A and B are complementary and the measure of angle A is twice the measure of angle B. Find the measures of angles A and B

Vid R.

Answer:

measure of A = 60 degrees, measure of B = 30 degrees

Calculus

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Question:

F(x)=x^2+3x-7. Find F''(5)

Vid R.

Answer:

F'(x)=2x+3 F''(x)=2 F''(5)=2

Statistics

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Question:

Compute the expectation and variance of a Bernoulli(p) random variable.

Vid R.

Answer:

X: 0 1 prob: (1-p) p X^2: 0 1 E(X)=0(1-p)+1(p)=p X and X^2 are same so E(X)=E(X^2)=p Therefore, Var(X)=p-p^2=p(1-p)

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