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You are the manufacturer of a product that gives guarantees against failure. Each month there is a 50% chance that there will be exactly one failure, a 30% chance that there will be exactly two failures, and a 20% chance that there will be exactly three failures. Moreover, 20% of failures will be complete, requiring a full reimbursement of 800, while 80% will require only partial reimbursement of 400. Each month you purchase insurance that will provide all reimbursements for that period above a total of 1000. (So, for example, if there were three complete failures, the insurer would pay 1400.) What is the expected amount of reimbursement that the insurer will pay each month?
The purchasing power of a dollar is decreasing at the rate of 4.4% annually, compounded continuously. How long will it take for the purchasing power of $1.00 to be worth $0.70?
A worker on scaffolding 75 ft above the ground needs to lift a 450 lb bucket of cement from the ground to a point 20 feet above the ground by pulling on a rope weighing 5 lb/ft. How much work is required?
the hypotenuse of a right triangle is 17 ft long. one leg is 3.4 ft longer than the other leg. what are the lenghts of the legs?
The DNA molecule has the shape of a double helix. The radius of each helix is about 8 angstroms (1Å = 10-8 cm). Each helix rises about 33 Å during each complete turn, and there are about 2.9 108 complete turns. Estimate the length of each helix. (..
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with a diameter 50m. (Answer should be in cubic meters, rounded to two decimal places.)
A printer has a contract to print 100,000 invitations for a political candidate. He can run the invitations by using any number of metal printing plates from 1 to 20 on his press.
give the definition for a cauchy sequence of real numbers, prove that every convergent sequence is a cauchy sequence.
The perimeter of a swimming pool is 97m. The width is 2m more than helf of lenght of the pool, find the lenght and the width of the pool?
The area of an isosceles right triangle is 121 feet squared. what is the approximate length of each of the two equal sides?
write the name of congruent angles from the given figure.parallel lines bd and eg are intersected by line ah. eight
There are 1000 students in the senior class at a certain high school. The high school offers two advanced placement math / stat classes to seniors only:
Determine a real-life example scenario for how to find the distance between two points.
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