The average life expectancy of tires produced by the Whitney Tire company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of its tires has increased. In order to test the validity of this belief, the correct set of hypotheses is a. H_0: mu < 40,000 H_a: mu greaterthanorequalto 40,000 b. H_0: mu lessthanorequalto 40,000 H_a: mu > 40,000 c. H_0: mu > 40,000 H_a: mu lessthanorequalto 40,000d. H_0: mu greaterthanorequalto 40,000 H_a: mu < 40,000

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?

The spring the owner of a sporting good store decreases the price of winter gloves from $10 to $8 each increases the price of swimming goggles from $8 to $10 without doing the math you think the percent decrease in the price of the gloves the same as the percent increase of the goggles explain why or why not

F(x)= 4x g(x) =x-1 what is f(x) divided by g(x)