Mrs. peters' classroom is 14 feet by 18 feet. she wants to put a border around all the walls of her classroom just below the ceiling. how many feet of border does she need to buy?

Two number cubes are rolled- one blue and one yellow. part a) find the probability that the blue cube is less than 3 and the product is 8. part b) is this event independent or dependent? explain why. your

Me #1 using vocabulary words, including the word “congruent”, state why the measure of angle d is 120 degrees. #2 what is the measure of angle e and why?

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?