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Among 459 randomly selected light bulbs tested in a laboratory, 291 lasted more than 500 hours. Find a point estimate of the true proportion of all light bulbs that last more than 500 hours.
gold has a mass of 452 gram and a density of 19.3 gram per cm cube. what is the volume of the gold?
A ski-lift runs to the top of a hill has a rise to run ratio of 3/7. The horizontal distance from the bottom of the lift to the center of the mountain is 3000 ft. How high is the hill?
What percentage of the residents who are 30 or older own iPods? Or, equivalently, what is the conditional probability that a resident known to be 30 or more years of age will own in iPod? (Give your answer as a percentage correct to two decimal pl..
A 62 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 31 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the height of the..
Prove that the subgroup of A4 generated by any element of order 2 and and any element of order 3 is all of A4. Prove that if x and y are distinct 3-cycles in S4 with x != y^-1 (x not equal to the inverse of y), then the subgroup of S4 generated by x..
From central parking it is 9/10 of a mile to the science building. Bob started at central parking and walked 1/5 of a mile toward the science building. He stopped for coffee.
Is empty set a symmetric relation? Prove or disprove.
A square has a 40-cm diagonal. How long is each side of the square? Round your answer to the nearest tenth of a centimeter.
A point on the bank directly across the river is sighted from another point 200 feet downstream at an angle of 67° 13' . Find the width of the river.
Describe each of the following as an indexed family of sets. Here, pi denotes the coordinated xy-plane.
Two sides of an isoceles triangle each measure 10 cm, and the vertex angle measures 132 degrees, Find the length of the altitude to the base. Find the length of the base.
Suppose that a body moves in a straight line through a resisting medium with resistance proportional to the square of it's speed v with initial speed v_0 and initial position x_0.
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