Suppose we have two weighted coins, one of which comes up heads with probability 0.2, and the other of which comes up heads with probability 0.6. unfortunately, the coins are otherwise identical, and we have lost track of which is which. suppose we flip a randomly chosen coin 12 times and let n be the random variable giving the number of heads seen. if in the first 3 flips we see 2 heads, what is the conditional expected number of heads in the 12 flips?

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

Given: hf || jk; hg ? jg prove: fhg ? kjg to prove that the triangles are congruent by asa, which statement and reason could be used as part of the proof? fgh ? kgj because vertical angles are congruent. jkg ? hfg because vertical angles are congruent. fhg ? jkg because right angles are congruent. hfg ? kjg because alternate interior angles are congruent.

Last year, a state university received 3,560 applications from boys. of those applications, 35 percent were from boys who lived in other states. part a)how many applications did the university receive from boys who lived in other states? part b)applications to the university from boys represented 40percent of all applications. how many applications did the university receive in all? i don't how to do part b so me and plz tell how you got your answer