Simon tosses a fair coin repeatedly. Let Hn denote the number of heads among the first n tosses of the coin and let Rn denote the remainder when Sn is divided by 4. (a) What is the state space for the MC (R1,R2,R3,...)? (b) What is the PTM for this MC?

Quadrilateral ghjk has vertices g(2, 3), h(8, 2), j(6, 8), and k(3, 6). it is transformed according to the rule t(–4, –5). what are the coordinates of g”? (–7, 3) (–2, 2) (–1, –7) (2, –2)

Which type of graph would allow us to compare the median number of teeth for mammals and reptiles easily

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.