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A deck of 52 cards contains 13 spades. If 5 cards are drawn without replacement, what is the probability of drawing exactly 2 spades? Group of answer choices 0.274 0.453 0.062 0.325

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Multiple Choice 1 point Trophic level transfer efficiency is related to population turnover rate in agricultural pests. There are 15g/m² of locust (herbivorous insect) per 1000g/m² of wheat (primary producer) and 4g/m² of cutworms (herbivorous insect) per 200g/m² of corn (primary producer). have the largest population turnover rate and have the biggest impact on crops. locust, cutworms both, both cutworms, cutworms locust, both cutworms, locust

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Determine the Hamiltonian's equation of motion for a simple pendulum Determine the Hamiltonian's equation of motion for a simple pendulum.

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Evaluate the formula ?² = rac{(n-1)s²}{?²} when ? = 2.89, n = 35, and s = 3.86.

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Find the derivative of the function.\\ $y = \frac{x^6 + 9}{x^2}$

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Differentiate the function.\\ y = (9 - x)^{63}\\ \frac{dy}{dx} = \boxed{ }

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Which of the following grammars generate the language L? L = \{uv|u \in \Sigma*1\Sigma*, v \in \Sigma*, |u| \le |v|\}, \Sigma = \{0,1\} ? S \to 1X X \to 1X|0X|1|0 ? S \to 0S0|0S1|1X X \to 1X|0X|1|0 ? S \to X1XX X \to 1X|0X|1|0 ? S \to 0S0|0S1|1X X \to 1X|0X|\epsilon

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Hafnaoui Company reported pretax net income from continuing operations of $903,500 and taxable income of $712,500. The book–tax difference of $191,000 was due to a $242,000 favorable temporary difference relating to depreciation, an unfavorable temporary difference of $117,000 due to an increase in the reserve for bad debts, and a $66,000 favorable permanent difference from the receipt of life insurance proceeds. The question is, "compute Hafnaoui company's effective tax rate?

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First National Bank offers 2-year CDs at 9.73%, compounded daily, and Citywide Savings offers 2-year CDs at 9.74% compounded quarterly. Compute the annual yield for each institution.

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2. Photoelectric effect in magnetic field. A small metallic ball is suspended at the center of a cylindrical glass vessel of radius R. A monochromatic light of frequency f illuminates the surface of the ball, and the photo-electrons are being emitted. The inside of the vessel is in high vacuum, and the inner wall of the side of the cylinder is coated with phosphorus, so that it glows when the photo-electrons are able to reach it. a) Under these conditions, what is the maximal kinetic energy of the photo-electrons? The work function of the metal is ?w. b) The whole system is placed in a big electromagnet capable of producing a homogeneous magnetic field throughout the glass vessel. The field is collinear with the axis of the cylinder. What is the minimal magnetic field, Bmin, necessary to stop the side of the glass vessel from glowing - that is, to prevent the photo-electrons from reaching its surface? What is the dependence of Bmin on f? c) Can we use this apparatus to study the photoelectric effect? Imagine that we can't measure B directly, but only measure the current I that goes through the electromagnet. (That would be a more realistic scenario.) Will we still be able to prove that the energy of the photon only depends on the frequency and not on the intensity of the light? (Please explain why, or why not.) Light illuminating the ball R Photo-electron reaching the side of the cylinder (side still glowing) B A metallic ball in the center of a cylinder

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