Numerade

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4. The length of time, in minutes, for an airplane to obtain clearance for takeoff at a certain airport is a random variable $Y = 3X + 2$, where X has the density function $f(x) = \begin{cases} \frac{1}{4}e^{-\frac{x}{4}}, & x > 0 \\ 0, & \text{elsewhere.} \end{cases}$ a. Find the CDF of the random variable X. b. Find the mean (expected value) of X c. Find the variance of X d. Find the mean and variance of the random variable Y. e. What is the probability that the airplane waits exactly 3 minutes? f. What is the probability that the airplane waits between 2 and 3? (Hint: do not attempt to find the pdf of Y, we have not done that in class yet. Instead find the condition on X)

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Women with gestational diabetes should be encouraged to: avoid bedtime snacks limit carbohydrate to 25% of total calories avoid excessive weight gain during pregnancy eat a high carbohydrate breakfast

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Culture is a set of human-made objective and subjective elements that have increased the probability of survival in the past. O True O False

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What two vaccines may be indicated following an animal bite? MRSA and rabies MRSA and tetanus rabies and tetanus Bartonella and rabies

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Current Attempt in Progress The Tour de France in 2018 entails a route that is 2080 statute miles plus 1711 yards long. There are exactly 1760 yards in a statute mile. A Irish mile comprises 2240 yards. What is the length of the above route measured in Irish miles and yards? Reply with the maximum integer number of Irish miles.

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While the official Union policy at the beginning of the war was not to harbor runaways from slavery, why did many Union military personnel violated this policy? Multiple select question. They agreed with the view of Republicans against the use of Northern soldiers as slave catchers. Some runaways from slavery offered valuable services or military intelligence. They disagreed with Lincoln's war strategy and wanted to undermine his orders on general principle. They had personal antislavery convictions.

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Question 3 Which tissue type, or organ, is NOT correctly matched with its germ layer tissue? (CSLO 3,4,6) nervous - mesoderm muscular - mesoderm lining of stomach - endoderm epiddermis of skin - ectoderm

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6. Calculate the pressure at which 0.250 mol of CO$_2$ occupies 6.46 L at 27 $^\circ$C.

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Mitsubishi Heavy Industries makes the wings of the new Boeing 787 Dreamliner in Japan. Toyota assembles cars for the U.S. market in Kentucky. Where does the production of wings appear in the National Income and Product Accounts of the United States? The wings _____ A. appear as imports in the expenditure approach to measuring U.S. GDP. If U.S.-owned factors of production are used in production, their income appears as net factor income from abroad and is part of U.S. GNP B. appear as imports in the expenditure approach to measuring U.S. GDP and a negative entry in U.S. GNP C. appear as a positive entry in U.S. GDP and a negative entry in U.S. GNP D. are not included in the measure of U.S. GNP E. appear as a positive entry in U.S. GDP. If U.S.-owned factors of production are used in production, their income appears as net factor income from abroad and is part of U.S. GNP

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Find the characteristic equation (as a function of 𝜆 ) and the eigenvalues of the matrix. 8 −4 −2 1 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (𝜆1, 𝜆2) =

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