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The outfield fencing field forms a circular sector with home plate as the center. The fence is placed at a unifrom distance of 215 ft away from home plate. The boundaries of the fence, which extends partway into foul territory, create an angle of 105 degrees with home plate. At $32.00 per foot, how much will the fence cost?
Suppose that S and T are sets of size m and n, respectively. Choose a representation of these sets that makes it possible to implement Intersection(S,T), which returns S ? T , in time O((m + n) log m). Explain how the intersection is found and arg..
A bottle company estimated 155,000 on delivery cost alone this year, if the total cost estime is 668,000. what percentage of total sales will be spent on delivery.
A power Station and a factory are on opposite sides of a river 60m wide. A cable must be run from the power station to the factory. it costs $25 per meter to run a cable in the river and $20 per meter on land.
Tami goes shopping for a snow blower. She knows nothing about snow blowers. She is equally likely to decide on any of the choices available to her. The snow blower choices are a 5-horsepower and a 10 horse power model, and each is available with a..
Let p be a prime, let K be a number not divisible by p, and let b be a number that has a kth root modulo p. Find a formula for the number of kth roots of b modulo p and prove that your formula is correct. (hint. your formula should only depend on ..
A surveyor standing 66 meters from the base of a building measures the angle to the top of the building and finds it to be 36°. The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 45°. How tall i..
Let M>0, and let f:[a,b]-->R be a function which is continuous on [a,b] and differentiable on (a,b), and such that |f'(x)|
Let G be a simple graph with no isolated vertex and no induced subgraph with exactly two edges. Prove that G is a complete graph. (Please read carefully the definition of an induced subgraph before you attempt to solve it!).
If the mean is 510, the standard deviation is 80, and the SAT Math scores are rounded to the nearest 10 points, what is the lowest SAT Math score that would be used for sending letters?
The surface area S of a right prism is given by S = 2B + Ph. The length of a rectangle is five times its width. If the area of the rectangle is 500m², find its perimeter.
an investment of $12000 is deposited into two simple interest accounts. On one account, the annual simple interest rate is 7.8%. On the other, the annual simple interest rate is 9%. The total interest earned for one year is $1020. How much was inv..
Apply the product limit method to determine the survival function
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