Kyle has to make a decision about his health insurance. Under one plan, the monthly cost of insurance is $15, but if he visits a doctor, he has to pay $50 for an office visit.

Kyle estimates that he has a 0.05 probability of needing to visit a doctor in any given month.

What is the expected monthly value of this plan for Kyle?

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?