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Prove that for all positive integers n > 1, the inequality 2^n < 2nCn (2n choose n) holds.
The hint given is: create a one-to-one function f : P → Q between particular sets of sizes |P| = 2n, |Q| = 2nCn. This will prove |P|≤|Q|.
What is the standard deviation of a random variable X?
Graph triangle WXY on a separate piece of paper. How many lines of symmetry does Triangle WXY have?
Carla's Coffee Company mixes two blends of coffee. Blend 1 is made by mixing 4 scoops of Arabica beans and 8 scoops of Brazilian beans. Blend 2 uses 10 scoops of Arabica beans and 6 scoops of Brazilian beans.
What is the probability that x=5
Ratio of sides of two cubes is 1:4. Calculate the volume of the bigger cube if the smaller one has a volume of 560 cm^3
The air pressure inside the teadbox of a paper machine is adjusted using a dual valve system (see schematic below). The control valve at the inlet is used to regulate the flow of air entering the headbox whereas the manual valve at the outlet acts as..
The perimeter of a rectangular lot is 56 meters. The length exceeds the width by 12 meters. Find the length of the lot.
Follow the method of Example 3 to describe the solutions of the following system in parametric vector form. Also, give a geometric description of the solution set and compare it to that in Exercise 5.
My mom makes $70,000 a year in her job. Our state income tax rate is 6.00%. What is the federal rate on this salary? Then, How much does she really bring home each year, month, two weeks? Thanks
The population of a community is known to increase at a rate proportional to the number of people present at time t
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Rate Walmarts diversity efforts in each of the following categories 1) Top Management Support; 2) Employee Support; 3) Recruitment and Hiring; 4) Identifying and developing talent; 5) Ensuring fair treatment; 6) Holding managers accountable; an..
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