The gym teacher is told that the average height of the girls in her physical education class is 5’4”, and the heights follow the normal distribution. she is told that 68% of the girls are 5’2” to 5’6” tall. she measures the height of each girl and finds that the heights do follow the normal distribution. based on her findings, she determines that 95% of the girls will be 5’0” to 5’8” tall. use your knowledge of normal distribution to select two options that will justify the gym teacher’s belief.

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?