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A nuclear tower is a hyperboloid that is a hyperbola rotated around its conjugate axis. The equation of hyperbola is X^2/100^2 - y^2/150^2 = 1. The tower is 500 feet tall, the top is 150 feet above the center of the hyperbola and the base is 350 feet below the center. What is the radius of the top and the base?
Make a table showing the probability distribution function(pdf) and cumulative distribution function (cdf) for X. Hint: draw a probability tree modeling the game.
The mass of Uranus is about 8.7 x 10^22 metric tons. The mass of the sun is about 1.998 x 10^27 metric tons. About how many times the mass of Uranus is the mass of the sub? Give you answer in scientific notation.
A 240 horsepower car beginning at a stop goes 1/10 of a mile. At optimum performance, what is the maximum speed in miles per hour the car can reach? Feet per minute?
Use a Venn diagram and the given information to estimate the number of elements in the indicated region.
Erika's cell-phone bill for july was $82. she sent a check for $50 and then made $37 worth of calls in August. How much did she then owe on her cell-phone bill?
Find the level of production that will maximize the total revenue and determine the maximum revenue.
Rank the data from lowest to highest and determine the requested quartile. The following scores on the midterm exam in Chemistry 102 were recorded. 93 81 59 69 82 73 61 77 95 84 88 71 85 97 63 72 89 80 98 91 62 78 83 76 81 94 66 83 96. Find the ls..
It takes 16 minutes to set up a candy making machine. Once the machine is set up, it produces 30 candies per minute. Use an inequality to find the number of candies that can be produced in 5 hours if the machine has not yet been set up.
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.5 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall?
in triangle MNO, angle M is equal to angle N, and angle O is 5 more than three times angle N. what is the measure of each angle?
Let n=pm such that p is the largest prime factor and n is divisible by p only once. Let G be of order n. Let H be a Sylow p-subgroup of G, and S is the set of all Sylow p-subgroups. How is S decomposed into H-orbits?
A furniture manufacturer produces sofas, tables, and chairs. The profits per item are, respectively, $70, $120, and $80. The pieces of furniture require the following labor-hours for their manufacture.
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