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Jeff is producing an outdoor concert. He estimates that he will make 3200 dollars if it does not rain, and make 1000 dollars if it does rain. The local weather station (which we'll assume is accurate in giving forecasts) predicts that the chance of rain is 25 percent for the day of the concert. What is Jeff's expected earnings from the concert?
Find the radius of convergence and the interval of convergence of this taylor series.
A bookstore has an annual demand for 40,000 copies of a best-selling book. It costs $0.90 to store one copy for one year, and it costs $15 to place an order. Find the optimum number of copies per order.
Calculate the mean of this sampling distribution
Use mathematical induction to prove that 2-2*7+2*7^2-.....+2(-7)^n=(1-(-7)^n+1)/4 whenever n is a nonnegative integer. Show that 1^3+2^2+....n^3=[n(n+1)/2]^2 whenever n is a positive integer.
Let G be a simple graph with no isolated vertex and no induced subgraph with exactly two edges. Prove that G is a complete graph. (Please read carefully the definition of an induced subgraph before you attempt to solve it!).
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 46.5ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
Find the mean, median, standard deviation, variance and range.(Use correct notation, you don't have to show work)
In planning for a major redesign, Beth collected data at her store on several consecutive Saturday mornings. She noticed that customers arrived at the checkout at a rate of approximately 100 per hour. Fully 20 percent of the customers had 10 items..
an architect has allocated a rectangular space of 416 ft^2 for a square dining room and a 10 ft wide kitchen. find both the width of the square dining room and the length of the entire rectangular space?
Construct examples showing that every possible connectivity number occurs (for graphs regular of degree 3):(Kappa) = 0, 1, 2, 3. Kappa = connectivity
Identifying and Recognizing Variations in Sets, I am currently working on sets and how to identify/recognize variations based on symbols. Is there any kind of "outline" or list/reference that I can utilize to better understand their core meaning?
Complete the given ordered pairs so that each ordered pair satisfies the given equation. Determine the equation of each line. Write the answer in standard form using only integers as the coefficients.
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