3. In chemistry, Isaac can mix the correct solution in 20 minutes. Together, Isaac and Newton can mix the same solution in 11 minutes. How long
does it take Newton to mix the solution when he is working alone

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?

Astore manager records the total visitors and sales, in dollars, for 10 days. the data is shown in the scatter plot. what conclusion can the store manager draw based on the data? question 3 options: an increase in sales causes a decrease in visitors. an increase in sales is correlated with a decrease in visitors. an increase in visitors is correlated with an increase in sales.

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?