Surya gave each member of his family a different playlist of random songs to listen to and asked them to rank each song between 000 and 101010. He compared his family's rankings with the release year of each song and created the following scatterplot and regression line. The fitted line has a slope of -0.096−0.096minus, 0, point, 096.
What is the best interpretation of this slope?

2x - 20 = 32 20 - 3x = 8 6x - 8 = 16 -13 - 3x = -10

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?

Kapil needed to buy a long wooden beam. he went to two sawmills that each charge an initial fee plus an additional fee for each meter of wood. the following equation gives the price (in dollars) of a wooden beam from the first sawmill as a function of its length (in meters). p = 5+20xp=5+20x