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Let ? be a set, and G a subgroup of the group Sym(?) of permutations of ?. Let ω ∈ ?, and let G_ω denote the stabilizer of ω in G.(a) If H is a subgroup of G such that H acts transitively on ?, show that G = HG_ω.(b) If G acts transitively on ?, show that G/G_ω ' ? as G-sets.
Find a quadratic function that models the data shown as a function of x, the number of weeks.
Water is pumped out of a holding tank at a rate of 6- 6e-0.10t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 1000 liters of water when the pump is started, how much water does it hold one hour later?
6Na + Fe2O3 → 3Na2O + 2Fe In the reaction, 138 g of Na react with 160 g of Fe2O3 to produce 186 g of Na2 and Fe. How many grams of Fe are produced?
in a study of heart surgery one issue was the effect of drugs called beta-blockers on the pulse rate of patients during
Assume that the nonzero complex numbers from group G with respect to multiplication. If a and b are real numbers and i=sqrt -1, the conjugate of the complex number a+bi is defined to be a-bi.
The length of a rectangular garden is 9 feet longer than its width. If the garden's perimeter is 202 feet, what is the area of the garden in square feet?
Park rangers catch, tag, and then release 140 elk back into a national park. One month later, they select a sample of 130 elk, 91 of which are tagged. Assuming the ratio of tagged elk in the sample holds for all elk in the park, approximately how ..
Identify a sampling method that would lead to a representative sample for the survey. Explain why it would be a good choice and give details about the process.
Given the following annual net cash flows, determing the IRR to the nearest whole percent of a project with an initial outlay of $1520.
A car traveling along a straight road at 74 ft/sec accelerated to a speed of 89 ft/sec over a distance of 315 ft. What was the acceleration of the car, assuming it was constant? (Round your answer to two decimal places.)
He plans to pay the loan back in full in 5 months using his income tax refund. He can go to a finance company that will charge him 18% or to his uncle, who has greed to charge him 9%. Find the difference in the interest charges.
A bookcase is to be constructed. The length is to be 3 times the height. If 60 feet of lumber is available for the entire unit, find the length and height of the bookcase
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