Sonia is adapting the following scene into a sketch for her school’s drama club. Compare her version to the original: Original: Rory stood pensively before the wall, which towered many dozens of feet high and had, so far as he could tell, no doors, no notches, no features of any kind. How frustrating, and yet, it was certainly a challenge. Staged: (RORY and BELINDA stare up at a wall—it is high enough that its top cannot be seen on stage.) BELINDA: How many feet high is it, do you think? RORY: (excitedly) Dozens, I should think! No less than 60. BELINDA: There must be some kind of door! Or notches, or dents, something to climb . . . RORY: (gleeful) No, nothing of the sort. No features of any kind—look! BELINDA (pouting): How tremendously frustrating! RORY: Ah, but what a delicious challenge! Which of the following best describes how adding a second character affects the scene?

Which inequality is equivalent to -3x < -12? x < 4 , x < -4 , x > 4, x > -4

Aright cylinder has a diameter of 8 m and a height of 6m. what is the volume of the cylinder

When booking personal travel by air, one is always interested in actually arriving at one’s final destination even if that arrival is a bit late. the key variables we can typically try to control are the number of flight connections we have to make in route, and the amount of layover time we allow in those airports whenever we must make a connection. the key variables we have less control over are whether any particular flight will arrive at its destination late and, if late, how many minutes late it will be. for this assignment, the following necessarily-simplified assumptions describe our system of interest: the number of connections in route is a random variable with a poisson distribution, with an expected value of 1. the number of minutes of layover time allowed for each connection is based on a random variable with a poisson distribution (expected value 2) such that the allowed layover time is 15*(x+1). the probability that any particular flight segment will arrive late is a binomial distribution, with the probability of being late of 50%. if a flight arrives late, the number of minutes it is late is based on a random variable with an exponential distribution (lamda = .45) such that the minutes late (always rounded up to 10-minute values) is 10*(x+1). what is the probability of arriving at one’s final destination without having missed a connection? use excel.