Given that r and s are both irrational numbers, determine which statement is true. (A)The values of r + s and r · s are sometimes irrational.

(B)The value of r + s is sometimes irrational, and the value of r · s is never irrational.

(C) The values of r + s and r · s are never irrational.

(D) The value of r + s is always irrational, and the value of r · s is sometimes irrational.

(E)The value of r + s is always irrational, and the value of r · s is never irrational.

(F)The values of r + s and r · s are always irrational.

(G)The value of r + s is never irrational, and the value of r · s is always irrational.

(H) The value of r + s is sometimes irrational, and the value of r · s is always irrational.

Which of these choices show a pair of equivalent expressions?

Which statement best describes the polynomial

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?