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A trough is 10 meters long, 3 meters wide, and 3 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 3 meters, and base, on top, of length 3 meters). The trough is full of water (density ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use as the acceleration due to gravity.)
A boat's crew rowed 12 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current, covered the same distance, but took 4 hours. Find the crew's rowing rate in still water and the rate of the current.
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.
Find a vector a with representation given by the directed line segment AB. Draw AB and the equivalent representation starting at the origin.
In an inventory study it was determined that on average demands for a particular item at a warehouse were made four times per day. What is the probability that on a given day an item is requested.
Thirty-eight percent of hospital admissions for diabetic patients are related to problems with the kidneys. In a sample of 10 diabetic hospital admissions, calculate the mean and standard deviation of diabetic patients with kidney problems.
Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7000
a normal distribution has a mean of 500 a standard deviation of 50. A manager wants to simulate one value from this distribution, and has drawn the number 1.4 randomly. What is the simulated value?
A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a yellow marble? If a yellow marble is drawn the first time and then a second marble is drawn without replacement
An arrow shot straight up into the air reached a height of 75m. With what velocity did it leave the bow? How long was the arrow in the air?
What is the relationship between correlation and regression? Can you have one without the other? Why or why not?
A motorboat travels 448km in 7 hours going upstream. It travels 630km going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Find the lateral area of a triangular prism with base edges of 5cm, 12cm, and 13 cm. The height of the prism is 14cm.
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