30 + (-87) – 140 + 8A

Consider a disease whose presence can be identified by carrying out a blood test. Let p denote the probability that a randomly selected individual has the disease. Suppose n individuals are independently selected for testing. One way to proceed is to carry out a separate test on each of the n blood samples. A potentially more economical approach, group testing, was introduced during World War II to identify syphilitic men among army inductees. First, take a part of each blood sample, combine these specimens, and carry out a single test. If no one has the disease, the result will be negative, and only the one test is required. If at least one individual is diseased, the test on the combined sample will yield a positive result, in which case the n individual tests are then carried out. [The article "Random Multiple-Access Communication and Group Testing"† applied these ideas to a communication system in which the dichotomy was active/idle user rather than diseased/nondiseased.] If p = 0.15 and n = 5, what is the expected number of tests using this procedure? (Round your answer to three decimal places.)

Work out what x =
Please and explication

An airline company is considering a new policy of booking as many as 354 persons on an airplane that can seat only 330. (Past studies have revealed that only 88% of the booked passengers actually arrive for the flight.) Estimate the probability that if the company books 354 persons, not enough seats will be available

steve must pay 28% of his salary in federal income tax. If his salary is 168,000, how much is his federal income tax

The Williams are buying a house that costs $323,000 and can afford a 10% down payment. If the Williams want the lowest monthly payment, which loan option would you recommend?a. 15 year fixed, 5% down at a fixed rate of 5.5%
b. 30 year FHA, 3.5% down at a fixed rate of 6.25%
30 year fixed, 20% down at a fixed rate of 5.75%
d. 30 year fixed, 10% down at a fixed rate of 6%

If f Subscript x​(a,b)equals f Subscript y​(a,b)equals​0, does it follow that f has a local maximum or local minimum at​ (a,b)? Explain. Choose the correct answer below. A. Yes. The point​ (a,b) is a critical point and must be a local maximum or local minimum. B. Yes. The tangent plane to f at​ (a,b) is horizontal. This indicates the presence of a local maximum or a local minimum at​ (a,b). C. No. One​ (or both) of f Subscript x and f Subscript y must also not exist at​ (a,b) to be sure that f has a local maximum or local minimum at​ (a,b). D. No. It follows that​ (a,b) is a critical point of​ f, and​ (a,b) is a candidate for a local maximum or local minimum.