Suppose that you head an insurance company. Your most popular insurance policy has a premium of $600 and a deductible of $1,000. This insurance policy provides your state’s minimum coverage of $30,000 for injury or death to one person, $50,000 for injury or death to two or more people, and $10,000 for damage to property, which is called 30/50/10 coverage. Assume that, on average, 2 of your 100 customers have an accident every year. One of the accidents causes damage to property and the other causes injury or death to one person. Both drivers file for the maximum claims. After paying the claims, will your company still profit from the premiums collected in a year? Explain your answer.

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?

Drag the tiles to the correct boxes to complete the pairs. label each function. as even , odd, or neither.

Round each of the decimals to the nearest hundredth a. 0.596 b. 4.245 c. 53.6843 d. 17.999