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the owner of a ski apparel shop in Winter Park, Colorado must make a decision in July regarding the number of ski jackets to order the following ski season. Each ski jacket costs $54 each and can be sold during the ski season for $145. Any unsold jackets at the end of the season are sold for $45. The demand for jackets is expected to follow a Poisson distribution with an average rate of 80. The store owner can order jackets in lot sizes of 10 units. How many jackets should the store owner order if she wants to maximize the expected profit?
Use the disk method to calculate the volume of the solid shape than will come about as a result of rotating the area bounded by the graphs of y=x^3, y=1, and x=2 about the x-axis.
Conditional Probability: Ball Colour, An urn contains four coloured balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange.
At the downtown office of First National Bank there are five tellers. Last week the tellers made the following number of errors each: 2, 3, 5, 3, and 5.
Find all extreme values of f and the values of x at which they occur. Find the interval(s) on which the function f is concave up?
During the 12-month period the couple owned the stock, Cisco Systems paid no dividends. Calculate the Hernandez's total return for this investment.
Assume that, at a certain college, 33% of all physics majors belong to ethnic minorities. Given a random sample of 10 physics majors, find the probability of the indicated event. Round your answer as appropriate.
A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime.
Estimate the profit for each item as difference between total revenue and total cost of the item and
Calculating the height of the statue - find out how high is the statue?
Assume that the nonzero complex numbers from group G with respect to multiplication. If a and b are real numbers and i=sqrt -1, the conjugate of the complex number a+bi is defined to be a-bi.
Determine whether the given ordered pair is a solution of the system. Solve each system by substitution method
Probability Calculating the Expected Value, You give $3 for a bet in a casino game and there is a 253/495 probability that you will lose your $3 and there is a 242/495 probability that you will make a net gain of $3
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