If Y is a continuous random variable such that E[(Y − a) 2 ] < [infinity] for all a, show that E[(Y − a) 2 ] is minimized when a = E[Y ]. Hint: E[(Y − a) 2 ] = E[((Y − E[Y ]) + (E[Y ] − a))2 ]

Which system of linear inequalities is graphed? can somebody pleasssse

Dexter read 11 science fiction books and 5 history books. lena read 9 science fiction books and 4 history books. compare the students’ ratios of science fiction books to history books. 1. determine the ratios’ form:    science fiction books to history books 2. write the ratios as fractions:    dexter: 115; lena: 94 3. rewrite with a common denominator. 4. compare. 5. answer the question. determine which shows the correct comparison of the ratios for this problem.

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x)