Consider the following graph. stem-and-leaf plot of ages of college professors with key stem 5 with leaf 3 means 53. the plot includes the following data: stem 3 with leaves 0 and 2; stem 4 with leaves 1, 4, 4, and 5; stem 5 with leaves 3, 5, 8, and 9; stem 6 with leaves 2, 2, 2, 5, 6, and 8; and stem 7 with leaves 5, 5, and 6. calculate the mean. explain what the mean would signify for the entire population of college professors by using this sample.

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?

Joe has a rectangular chicken coop. the length of the coop is 4 feet less than twice the width. the area of the chicken coop is 510 square feet. what is the length of the chicken coup?

Which equation is y = -6x2 + 3x + 2 rewritten in vertex form?