To attract business, a clothing store mails discount coupons to residents of a town. To estimate the proportion of the store’s shoppers who are using the coupons, the store manager selects a random sample of 100 customers who visit the store on a weekend. The manager finds that 38 of them are using the coupons mailed to their homes. Which of the following describes the sample in this setting? A) all residents of the town
B) the 38 shoppers who used coupons
C) the 100 randomly selected shoppers
D) all shoppers in the store on the weekend

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?

Which of the following expressions is equal to 2x^2+8

Which of the expressions (on the photo document i inserted) together represent all solutions to the following equation? 8cos(12x)+4=-4 *the answer should be in degrees.* > i would like for someone to explain the process to find the solutions for this.