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A trough is 4 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of from to . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is pounds per cubic foot.
Quantitative Methods- Probabilities Problem. A country road averages 6 potholes per mile. A road crew is sent out to repair the road. Find the following probabilities. Use the appropriate table or software if you want.
How many pizzas would need to sell if you wanted to make a profit greater than $1,595? interpret result.
Probability using Bayes theorem. An oil executive has determined that the probability that this oil field contains oil is 0.6. Before starting the drilling she decides to order a seismological test to see if there is oil in the ground.
Suppose f and g are functions analytic in a domain D. If z_n is a bounded sequence of distinct points in D and if f(z_n) = g(z_n) for all n, show that f(z) = g(z) for all z in D.
sean's older brother is 16 years old, he run between 15 and 25 miles each week, the sum of the digits of the total number of miles that he ran laast week is eight less than his age, how many miles did sean run last week.
An electric charge is distributed throughout 3-space with density inversely proportional to the distance from the origin. Show that the total charge inside a sphere of radius R is proportional to R^2.
There are 12 light bulbs, 5 of which are defective. All bulbs look alike and have an equal probability of being chosen. Three light bulbs are selected and placed on the table.
Responses to Other Students: Respond to at least 2 of your fellow classmates with at least a 1-paragraph reply about their Primary Task Response regarding items you found to be compelling and enlightening.
Determine the volume of the solid of revolution formed when R is revolved about the x-axis. Use the washer method (and no other method) to dertermine the volume of the solid of revolution formed when R is revolved about the line x=7.
Use the rational root theorem to list all possible rational roots of the polynomial equation. (Enter your answers as a comma-separated list.)
In mountain communities, helicopters drop chemical retardants over areas which approximate the shape of an isosceles triangle having a vertex angle of 38 degrees. The angle is included by two sides, each measuring 20 ft.
a company owns 400 laptops.each laptop has an 8% probability of not working. you randomly select 20 laptops for your salespeople. a. what is the likelihood that 5 will be broken? b. what is the likelihood that they will all work? c. what is the li..
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