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In a large department store a customer-complaints office handles an average of six complaints per hour about the quality of service. The distribution is Poisson.
What is the probability that in any hour exactly six complaints will be received?
What is the probability that more than 20 minutes will elapse between successive complaints?
What is the probability that fewer than 5 minutes will elapse between successive complaints?
The store manager observes the complaints office for a 30-minute period, during which no complaints are received. He concludes that a talk he gave to his staff on the theme "the customer is always right" has obviously had a beneficial effect. Suppose that, in fact, the talk had no effect. What is the probability of the manager observing the office for a period of 30-minutes or longer with no complaints?
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 equations for the tangent line of the graph f(x) = -x2 + 2x at x = 4. Performe the implicit differentiation to find the slop of the curve 2x2 + 3y2 = 5xy at the point (1,1).
In a group of 40 students, 25 applied to Columbia and 30 applied to Cornell. If 3 students applied to neither Columbia nor Cornell, how many students applied to both schools?
A closed rectangular box has a volume of 32 cubic centimeters. What are the lengths of the edges giving the minimum surface area?
A sample of 100 provided a sample mean of 75.7. The population standard deviation is known to be 12. At 0.01 level of significance, what is your conclusion? Use either the p-value approach on the critical value of approach.
Write as a system of 2 equations in 2 unknowns. Solve each system by substitution and show each step. Perimeter of a rectangle : the length of a rectangular swimming pool is 15 feet longer than the width.
Find the volume of the solid formed when when the graph of the region bounded by y=e^x, x=0, x=2, and y=0 is revolved about the x-axis.
Write a goal equation that represents the fluctuations in the production level from May to June, June to July, and July to August.
The sales representative informs you that there are 65 houses for sale with two floor plans still available. Use x to represent floor plan one and y to represent floor plan two. Write an equation that illustrates the situation.
Jose has a fish tank that measures 11.8 inches wide, 19.7 inches long, and 15.7 inches deep. He empties it halfway to clean it. To refill it when he is done, he will fill a one-gallon jug in the sink and carry it to the tank, pour it in, and then r..
Which one of the variables is the independent variable (x) and which one is the dependent variable (y)? Why?
Create your own unique quadratic equation in the form y = ax2 + bx + c that opens the same direction and shares one of the x-intercepts of the graph of y = x2 + 4x - 12. Determine the following. Use complete sentences and show all work to receive ..
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