2.3.1 the purpose of this exercise is to play with the definitions a bit. plot five points on the integral grid in [0, 5]x [0, 5]. provide a sample of parameters 2 0, and list the correspondng rips and cech abstract simplicial complexes. you can also include sketches of the embeddings of these complexes in 2d or 3d, at least for small values of t

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Iknow its nothing to do with education, but what type of thing should i wrote here? ? : ) its for mcdonald's btw.

If wxyz is a square, which statements must be true? plz < 3