Agroup of research proposals was evaluated by a panel of experts to decide whether or not they were worthy of funding. when these same proposals were submitted to a second independent panel of experts, the decision to fund was reversed in 30% of the cases. if the probability that a proposal is judged worthy of funding by the first panel is .2, what are the probabilities that: a. a worthy proposal is approved by both panels. b. a worthy proposal is disapproved by both panels. c. a worthy proposal is approved by one panel.

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.

Justin has 750 more than eva and eva has 12 less than justin together they have a total of 63 how much money did

Prove sin2a + cos2a - 1 / sin2a + cos2a + 1 = 1 - tana / 1 + cota