I would say that the angle would be an exterior angle because it's usually between the side of the polygon connected by a line as an extension of the adjacent side.
here's an example. hope it helps!
here's an example. hope it helps!
42 is 64% of what number
2 answers:
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Answer:
(a)
(b)
Step-by-step explanation:
Let X and Y be discrete random variables and E(X) and Var(X) are the Expected Values and Variance of X respectively.
(a)We want to show that E[X + Y ] = E[X] + E[Y ].
When we have two random variables instead of one, we consider their joint distribution function.
For a function f(X,Y) of discrete variables X and Y, we can define
Since f(X,Y)=X+Y
Let us look at the first of these sums.
Similarly,
Combining these two gives the formula:
Therefore:
(b)We want to show that if X and Y are independent random variables, then:
By definition of Variance, we have that:
Since X and Y are independent, Cov(X,Y)=0
Therefore as required:
Correct answer is A.
Answer:
The domain is (-∞,∞) and range is (k,∞)
Step-by-step explanation:
The graph is given as .
When x =0, we have f(x) = y intercept
Consider the exponential function y = .
This is defined for domain all real numbers and range = (0,infinity) for all positive a.
This function is transformed into our function by horizontal shift of h units to left and vertical units of k units up.
i.e. Y = y-k and X = x-h
Since x has domain as set of all real numbers X also set of real numbers
So domain is (-∞,∞)
Since range of original graph is (0,∞), we have Y minimum value as k and max as infinity.
Range = (k,∞)