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A facility produces items according to a Poisson process with rate ?. However, it has shelf space for only k items and so it shuts down production whenever k items are present. Customers arrive at the facility according to a Poisson process with rate µ. Each customer wants one item and will immediately depart either with the item or empty handed if there is no item available.
(a) Find the proportion of customers that go away empty handed.
(b) Find the average time that an item is on the shelf.
(c) Find the average number of items on the shelf.
Find the Fourier series for the odd extention of the function f(x)=5, 0
Suppose that population (measure in millions) is modeled by the linear function pl(t) = a + bt. Find the least-squares estimates for the parameters a and b.
Parenthesis, Exponents, Multiplication and Division, addition and subtraction. Why are the order of operations required when simplifying expressions?
Write each ratio as a fraction in simplest form.
Compute the line integrals ∫c_1 F · dr and ∫c_2 F · dr, where c1 (t) = (t, t2) and c2(t) = (t, t) for 0 ≤ t ≤ 1. Can you decide from your answers whether or not F is a gradient vector field? Why or why not?
A random sample of 700 NAU students in Flagstaff found 287 NAU students who drink coffee daily. Find a 95% confidence interval for the true percent of NAU students in Flagstaff who drink coffee daily. Express your results to the nearest hundredth ..
Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18. Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.
It takes 3 seconds to flip a sandwich and 5 seconds to take one off or put one on the grill. What is the shortest amount of time needed to toast all 5 sandwiches?
task 1 lewis carroll the author of alice in wonderland liked to ask his friends to solve this puzzletake a square of 13
solve y^2=x(x-1)(x-2) for y in terms of x. explain why the graph contained 2 parts and at what point it have a horizontal tangent line. Derivative of a function.
Find all the values of the undetermined coefficients by plugging yp and its derivatives into the original DE. Write out the particular solution yp once you determine the coefficients.
Front range cabinet distributors in colorado springs, colorado, sells to its contractors with a 42% markup on cost. if the selling price for cabinets is $9,655, what is the cost to contractors based on cost?
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