Manny Ramirez, a Major League Baseball player, was an outfielder for the Boston Red Sox in 2007. Consider the experiment of Ramirez making a batting appearance. There are five experimental outcomes: He is out, he advances to first base, he hits a double, he hits a triple, or he hits a home run. Define the random variable x as the number of bases that Ramirez advances on the baseball diamond from his batting appearance. Thus, the values of x are:

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?