A local coffee shop is tracking all of its customers who order one beverage with a food item. They find that 30% of customers order hot coffee, 20% order iced coffee, and 50% order specialty drinks. In addition, 70% of those customers will order a pastry, 25% will order a sandwich, and the remaining 5% will order a piece of fruit. Use an area model or a tree diagram to represent the situation. Include all outcomes and their probabilities. (3 pts)

What is the probability that a randomly chosen customer will order hot coffee and a sandwich? (1 pt)

What is the probability that a randomly chosen customer will order EITHER iced coffee OR a pastry? (2 pts)

What is the probability that a randomly chosen customer will NOT order a sandwich? (1 pt)

John bought 5 lemons and used 2 of them for a salad how much did he use for.a salad . he used % of the lemons.

Alawn mower manufacturer incurs a total of 34,816 in overhead costs and 388 per lawn mower in production costs. how many lawn mowers were manufactured if the average cost of productions is 660

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?