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Use your newly aquired skills in graphing quadratic equations to determine the dimensions of a rectangle with a perimeter of 20 that encloses the greatest area. Remember that the perimeter is the sum of all sides of the rectangle. Is there another shape that would be more efficient( higher area to perimeter ratio?)
Is empty set a symmetric relation? Prove or disprove.
you enter a 3 mile walk race and win. your time is 28.2 minutes. write and inequality about the average speed of second place walker.
"In three days, Carter drove 2196 miles in 36 hours behind the wheel. The first day he averaged 64 mph, the second day 62 mph, and the third day 58 mph. If he drove 4 more hours on the third day than on the first day, then how many hours did he dr..
Simulation of an expectation. Design a simulation exercise in R to approximate the value of E ( X^X) when X has a U [0,1] distribution. Plot the value of the approximation as the sample size goes from 1 to 10,000
Ten percent of all undergraduates at a university are chemistry majors. In a random sample of nine students, find the probability that exactly two are chemistry majors. (Round your answer to 4 decimal places.)
What is the standard deviation of this sampling distribution? (Round your answer to two decimal places.)
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?
The angle of elevation to the top of a building from a point on the ground is 39 degrees. From a point 50 feet closer to the building, the angle of elevation is 45 degrees. What is the height of the building?
Identify the definite integral that represents the volume of the solid formed by revolving the region bounded by y=x^3, y=1, and x=2 about the line y=10.
The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travel 310 miles in the same time it takes the freight train to travel 260 miles. Find the speed of each train.
Talk about the old days! A long-playing record has a radius of 6 inches. How far does a fly sitting on the rim of the record travel after the record has turned around once? (Use pi = 3.14).
A swimming pool is circular with a 10-ft diameter. The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whol..
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