On a coordinate plane, a piecewise function has 3 lines. The graph shows cleaning time in hours on the x-axis and total cost in dollars on the y-axis. The first line has an open circle at (0, 50) and continues horizontally to a closed circle at (2, 50). The second line has an open circle at (2, 100) and continues horizontally to a closed circle at (6, 100). The third line has an open circle at (6, 200) and continues horizontally to a closed circle at (8, 200). The graph represents the cleaning costs charged by a housekeeping service. What is the domain of the function? What is the range of the function?

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 sales totals at macy's food store have increased exponentially over the months. which of these best shows the sales in the first three months?

For a science project, a high school research team conducted a survey of local air temperatures. based on the results of the survey, the found that the average temperatures were around 10 degrees higher than expected. this result was wrong. the trouble with the survey was that most of the locations were exposed to direct sunlight and located over asphalt or sand, which resulted in higher temperatures than normal. this is a classic example of an error in which phase of inferential statistics?