The data below shows the annual salaries (in millions) and the number of viewers (in millions) of eight television actors and actresses. construct a scatterplot, find the value of the linear correlation coefficient r, and find the p-value using alphaαequals=0.05. is there sufficient evidence to conclude that there is a linear correlation between the two variables?

salary_(x) viewers_(y)
92 13
14 4.9
12 5.7
34 1.4
13 10.3
10 9.8
6 13.3
2 4.3

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?

Jude is making cement for a driveway. the instructions show the amount of each ingredient to make 1 batch of cement. complete each statement to adjust the ingredients for each new situation if jude uses these instructions.

What is the value of the discriminant of the quadratic equation -2x = -8x + 8 and what does its value mean about thenumber of real number solutions the equation has?