The revenue R (in millions of dollars) for a company from 1999 to 2005 can be modeled by the equation below, where t is the year, with t = 9 corresponding to 1999. R = 0.59221t4 – 18.0042t3 + 175.293r2 - 316.42t – 116.5 Polo Ralph Lauren Revenue 4000 3500 3000 2500 2000 1500 10 11 12 13 14 15 Year (9+ 1999) (a) Find the slope of the graph for the year 2002. (Round your answer to two decimal places.) Find the slope of the graph for the year 2004. (Round your answer to two decimal places.) (b) What are the units for the slope of the graph? O dollars per year millions of dollars millions of dollars per year dollars O no units Interpret the slope of the graph in the context of the problem. The slope of the graph at time t is the rate at which sales are increasing. The slope of the graph at time t is the rate at which average sales are increasing. The slope of the graph at time t is the total amount of sales. The slope of the graph at time t is the effect time has had on sales. The slope of the graph at time t is the amount by which sales are increasing. anuanay (in millions of dollars)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
For the given Revenue function slope is calculated as shown below
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