You are told that you will have to wait for 5 hours in a line with a group of other people. Determine if:
1. You know the number of minutes you have to wait.
2. You know how many people have to wait.
For each statement, if you answer yes draw an input-output diagram and write a
statement that describes the way one quantity depends on another.
If you answer no give an example of 2 outputs that are possible for the same
input.

Which graph represents the solution of the inequality?

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?

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.