The engineering department of a steel manufacturer is analyzing the company’s rolling machine that’s produces sheets of steel with varying thickness. The thickness is found to be a uniform random variable with values between 90 and 200 millimeters. Any sheets less than 150 millimeters thick must be scrapped, since they are unacceptable to buyers. Find the probability distribution for thickness f(x), and then calculate the mean and standard deviation of the thickness of the sheets produced by this machine.

What are correct trigonometric ratios that could be used to determine the length of ln

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?

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. which graph represents the set of heights that satisfy this requirement?