A researcher is interested in determining if a psychic really has power to predict. The researcher takes four cards, each of a different type: king, queen, jack, and ace. After mixing up the cards many times and he selects one card without showing the psychic. The researcher asks the psychic which card was selected. The researcher records if the psychic was correct or not. The researcher does this two hundred times. If the psychic really has special abilities then he should pick the correct card more often then if it was by chance alone. The researcher is interested in determining if the card was identified correctly significantly more often then chance would suggest. What would be the null and alternative hypothesis for this case

y=2x−1 5x−4y=1 is (1,1)(1,1) a solution of the system?

Time (minutes) amount of water (gallons) practice 1. jin fills up a 510-gallon pool in the backyard for her children. she fills it with the garden hose at a rate of 17 gallons per minute. after it is filled, she lets it sit for 30 minutes in order to let the water temperature rise. the children then get in and have fun for an hour. the pool loses about 5 gallon of water each minute due to their splashing and playing. at the end of the hour, they tear the pool while getting out, which causes a leak the pool then begins to lose water at a rate of 2 gallons per minute. a. complete the table to show the amount of water in the pool after each minute. b. create a graph to model the problem situation. include when the pool will be empty. c. write a piecewise function that models this problem situation. explain your reasoning for each piece of the function. d. identify the x- and y-intercept. explain what they mean in terms of the problem situation, atamantha a cul 80 100 120 150 200 ning, inc

Emmanuel added 888 links per minute to his chain mail. allesia started 202020 minutes after emmanuel and added 131313 links per minute to her chain mail. how long had emmanuel worked when allesia caught up to him, and how many links had he added?