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A bank wishing to increase its customer base advertises that it has the fastest service and that virtually all of its customers are served in less than 10 minutes. A management scientist has studied the service times and concluded that service times are exponentially distributed with a mean of 5.5 minutes. Determine what the bank means when it claims 'virtually all' its customers are served in under 10 minutes. What is the proportion of customers served in under 10 minutes?
A contractor purchases a new bulldozer for $45,000. After 15 years the bulldozer will be outdated and have no value. Write a linear equation giving the value V of the equipment during the 15 years it will be used, where t is the number of years af..
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
How fast is the area of the rectangle changing when the width is 10 cm and the height is 15 cm? Is the area decreasing or increasing?
Two angles are complementary of each other. Twice one angle is equal to the other angle plus the product of three and five. Set up a system of linear equations to represent the two angles.
A 100% concentrate is to be mixed with a mixture having a concentration of 30% to obtain 65 gallons of a mixture with a concentration of 80%. How much of the 100% concentrate will be needed?
Consider y''+9y=t^2(cos(3t)+4sin(3t)). This has homogeneous solution C1cos(3t)+C2sin(3t). Use method of undetermined coefficient to find a particular solution.
A palindrome is a number such as 131 that reads the same backward and forward. How many 3-digit palindromes are there between 100 adn 200 and what are they?
Suppose you constructed a bull call spread contract using March natural gas futures (size: 10,000 MMBtu). Call premium is $0.30 for $4.20 strike price per MMBtu. Call premium is $0.25 for $4.50 strike price per MMBtu. Compute your net profit or lo..
What is the probability of there being 2 aces in a single column at the start of a Free Cell game? What about 3 and 4 aces in a single column? Conduct an experiment that validates your findings.
A hemispherical bowl of radius 5 cm is filled with water to within 3 cm of the top. Find the volume of water in the bowl.
a square quilt displayed at the colonial museum measured 425 cm. on each side. how much binding did the quilt maker use to bind the edges of the quilt?
An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane is 10 miles away (s = 10), the radar detects that the distance s is changing at a rate of 250 miles per hour. What is the speed of the airplane?
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