Exercise 1 below is a proof showing that two logical expressions are logically equivalent. label the steps in the proof with the law used to obtain each proposition from the previous proposition. the first line in the proof does not have a label. (p →9)(qv) (p v a) ^ (qv) (q vap) ^ ( v p) qv(pap) qv (p 4-p) qvf

Acharity is conducting a raffle, and it sells one ticket each to 35 women and 21 men. if 5 winners are randomly selected, what is the probability that they are all men? round to five decimal places. 0.00533 0.06268 0.09537 0.07776

Can somebody 1. what is the formula for finding the vertical distance between two points on a coordinate plane?

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.