Celeste wants to have her hair cut and permed and also go to lunch. she knows she will need $59. the perm costs twice as much as her haircut and she needs $5 for lunch. how much does the perm cost?

After surveying students in her homeroom, katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. in katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes. according to katie’s model, what is the probability that three randomly chosen students will all stay after school for extracurricular activities today?