Numerade

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in this exercise you will prove that the sum of a collection of independent chi-squared random variables also has a chi-squared distribution. Recall that chi-squared was a special case of the gamma distribution with β = 2 and α = γ/2. Let X1, . . . , Xn be independent chi-squared random variables with γ1, γ2, γ3, . . . , γn degrees of freedom, respectively. Let Y = X1 + X2 + X3 + · · · + Xn. Show that Y is a chi-squared random variable with γ degrees of freedom where γ = Pn i=1 γi.

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Which of the following statements is TRUE with respect to nonfungible tokens (NFTs)? They can be replaced or substituted with another digital asset. They are not considered unique digital assets. Creators recognize capital gains or losses when the token is sold. Buyers recognize capital gains or losses when exchanging crypto for an NFT or reselling an NFT.

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Can a patient that undergoes surgical removal of the gallbladder (cholecystectomy) still produce bile? Yes, the patient will still be able to produce bile because bile is produced in the liver and the hepatic duct can still transport the bile to the duodenum. This is why patients that undergo a cholecystectomy can still digest fats as effectively as people with a gallbladder because the liver will produce more bile to properly emulsify lipids as the chyme moves into the duodenum. No, the patient won't be able to produce bile because bile is produced in the gallbladder. This is why patients that undergo a cholecystectomy need to eat low fat diets. Since these patients don't produce bile, they can't emulsify lipids and therefore they can't digest lipids well. Yes, the patient will still be able to produce bile because bile is produced in the liver and the hepatic duct can still transport the bile to the duodenum. Patients that undergo a cholecystectomy can't digest fats very well though. The gallbladder concentrates and stores the bile that the liver produces. When lipids in the chyme move into the duodenum, larger quantities of concentrated bile will be released from the gallbladder. This way lipids can be properly emulsified and emulsified lipids will be properly digested by pancreatic lipases. Yes, the patient will still be able to produce bile because bile is produced in the liver and the hepatic duct can still transport the bile to the duodenum. Patients that undergo a cholecystectomy can't digest fats very well though. This is because when bile gets stored into the gallbladder, there it mixes with lipase enzyme produced by the gallbladder. Individuals without a gallbladder will lack important lipase enzymes needed to properly digest lipids such as fats.

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QUESTION 2 Match the personal values and beliefs: Loyalty Collaboration Importance of family Honesty Authenticity A. strong sense of commitment, duty, or faithfulness B. genuine, staying true to yourself C. belief in telling the truth and being straightforward D. quality time and relationships with loved ones E. valuing teamwork and work with others

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A nurse is preparing to administer penicillin IM to an adult client. Which of the following angles should the nurse use for injection into the client's ventrogluteal muscle? 45° 60° 75° 90° ........... ...........

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Predict how many electrons each element will most likely gain or lose. Ga Li Br S

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Was the hypothesis that you stated above supported or contradicted by your experimental results ? Explain .

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Where in the marked life stage does long-distance dispersal happen? fern lifecycle.jpg Group of answer choices i ii iii iv v

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2. A 20 km, 50 Hz single-phase system has a series resistance of 0.04 Ω/km and inductance of 2 mH/km. Shunt admittance is neglected. At full load, the line delivers 3000 kW at 0.85 pf lagging and a load voltage of 10 kVrms. Calculate: i) the sending end voltage and current ii) the sending end real and reactive power and power factor iii) the voltage regulation and the efficiency

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4. Consider the following minimization problem: \begin{align*} \min_{b, m, g \ge 0} & b^2 + 3m^2 + 6g^2 \\ \text{subject to} \\ (1) & b + 3m + 6g \ge 140 \\ (2) & 2m + 4g \ge 70 \\ (3) & -2b + 2g \ge 20 \end{align*} a.) Determine which of the three numbered constraints is redundant (in other words, the constraint is unnecessary because it is already implied by the other two). How can you simplify the constrained minimization problem knowing that this con- straint is redundant? b.) Solve the constrained optimization problem (find the optimal values of b, m, g). You do not need a formal sufficiency proof, just find the right answer and show me how you got it.

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pamela l.