The German "Autumn Mist" offensive in the west in late 1944 1) drove Allied forces back to Normandy 2) led to a fierce tank battle near Kursk 3) almost succeeded for a time but was eventually repulsed by the Western Allies 4) caused only light U.S. casualties The "Battle of the Bulge" of 1944-45 refers to 1) Allied attempts to take a hilltop in Belgium 2) Allied attempts to cross the Bulge River in Belgium 3) the bulge U.S. forces made into the German defensive line near Antwerp 4) the bulge German forces made into the U.S. offensive line in their "Autumn Mist" offensive near Bastogne General MacAuliffe's response to German demands that he surrender U.S. forces at Bastogne during the Battle of the Bulge was 1) "Never was so much owed by so many to so few." 2) "Pour on the shells.... Storm the place." 3) "Nuts" 4) "Do they want total war? Then we'll give them total war!"
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The "Autumn Mist" offensive, also known as the Battle of the Bulge, was a major German offensive campaign on the Western Front during World War II. It was launched through the densely forested Ardennes region of Wallonia in Belgium, France, and Luxembourg on the Show more…
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The Cookenwythe Gas Company pumps propane gas to the nearby Noxious Chemicals, Inc., polypropylene production plant. The gas is metered at the Noxious plant at $400 \mathrm{m}^{3} / \mathrm{h}$ at $4.7 \mathrm{atm}$ gauge and $30^{\circ} \mathrm{C}$. The pressure at the Cookenwythe plant is 8.5 atm gauge, and the temperature is also $30^{\circ} \mathrm{C} .$ Noxious pays Cookenwythe at the rate of $0.60 / \mathrm{kg} \mathrm{C}_{3} \mathrm{H}_{8}$ One dark night Sebastian Goniff, a Noxious engineer who is really a spy for the Rancid Plastics Corporation - Noxious's principal competitor and a bunch of really rotten guys - puts into effect his plan to divert propane from the Cookenwythe-Noxious line into an underground pipe that leads to a secret Rancid tank-truck loading station in the middle of a nearby abandoned garbage dump. To cover the operation, Goniff obtains a broken pressure gauge that is stuck at 4.7 atm and substitutes it for the gauge at the Noxious plant. He adjusts the gas pressure regulator so that the real gauge pressure is 1.8 atm, instructs his associate in the ficld via mobile phone to open the Rancid line gradually, and tells him to hold it when the flowmeter at Noxious reads $400\mathrm{m}^{3} / \mathrm{h}$. To the unsuspecting Noxious meter reader, the flow rate and pressure would therefore appear to be normal. The plan goes according to schedule until the associate smells gas, suspects a leak near the valve, and lights a match to see if he can pinpoint the location. (a) What should the flowmeter read at the Cookenwythe end of the pipcline? (b) How much does Noxious pay Cookenwythe each month? (c) What flow rate of propane ( $\mathbf{k g} / \mathrm{h}$ ) should the Rancid trucks be prepared to handle? (d) What happened?
On June $24,1948,$ the former Soviet Union blocked all land and water routes through East Germany to Berlin. A gigantic airlift was organized using American and British planes to bring food, clothing, and other supplies to the more than 2 million people in West Berlin. The cargo $20,000$ cubic feet for a British plane. To break the Soviet blockade, the Western Allies had to maximize cargo capacity, but were subject to the following restrictions: $\cdot$ No more than 44 planes could be used. $\cdot$The larger American planes required 16 personnel per flight, double that of the requirement for the British planes. The total number of personnel available could not exceed 512 . $\cdot$The cost of an American flight was $\$ 9000$ and the cost of a British flight was $\$ 5000 .$ Total weekly costs could not exceed $\$ 300,000$. Find the number of American planes and the number of British planes that were used to maximize cargo capacity.
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6.20 Government shutdown. The United States federal government shutdown of 2018–2019 occurred from December 22, 2018 until January 25, 2019, a span of 35 days. A Survey USA poll of 614 randomly sampled Americans during this time period reported that 48% of those who make less than $40,000 per year and 55% of those who make $40,000 or more per year said the government shutdown has not at all affected them personally. A 95% confidence interval for (p<40K - p≥40K), where p is the proportion of those who said the government shutdown has not at all affected them personally, is (-0.16, 0.02). Based on this information, determine if the following statements are true or false, and explain your reasoning if you identify the statement as false. (a) At the 5% significance level, the data provide convincing evidence of a real difference in the proportion who are not affected personally between Americans who make less than $40,000 annually and Americans who make $40,000 annually. (b) We are 95% confident that 16% more to 2% fewer Americans who make less than $40,000 per year are not at all personally affected by the government shutdown compared to those who make $40,000 or more per year. (c) A 90% confidence interval for (p<40K - p≥40K) would be wider than the (-0.16, 0.02) interval. (d) A 95% confidence interval for (p≥40K - p<40K) is (-0.02, 0.16).
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