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Madison and the other framers realized that the role of the new Constitution was to define what is meant by "citizen" and "rights " strictly limit the power of government . spell out the natural rights of citizens . none of the above The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3. (Rockwell hardness is measured on a continuous scale.)a. If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?b. If the acceptable range of hardness is (70-c, 70+c) , for what value of c would 95% of all specimens have acceptable hardness?c. If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten?d. What is the probability that at most eight of ten independently selected specimens have a hardness of less than73.84? [Hint: Y = the number among the ten specimens with hardness less than 73.84 is a binomial variable; what is p?] How did the United States react when oil production in Iran decreased after the Iranian Revolution?A. It set up many new oil refineries to increase the production of oil.B. It passed the Energy Policy and Conservation Act to make the use of oil more efficient.C. It developed the Deep Anadarko Basin to increase domestic oil production.D. It created the Department of Energy to manage energy activities.E. It introduced policies to decrease the demand for oil. On the image below, which is the correct answer? is the sum of two rational numbers sometimes zero ture or false? A company is evaluating a new 4-year project. The equipment necessary for the project will cost $3,500,000 and can be sold for $715,000 at the end of the project. The asset is in the 5-year MACRS class. The depreciation percentage each year is 20.00 percent, 32.00 percent, 19.20 percent, 11.52 percent, and 11.52 percent, respectively. The company's tax rate is 34 percent. What is the aftertax salvage value of the equipment?Hint: 1. Find the remaining book value at the end. 2. Subtract this from the expected sale price to find the gain on sale. 3. Apply the tax rate to this gain to find the taxes owed. 4. The after-tax salvage value is the sale price minus the taxes.a) $715,000.b) $752,468.c) $540,444.d) $677,532.e) $471,900. Question ProgressHomework Progress8/17 Marks91%Find the Lowest Common Multiple of 3, 5 and 6. at the present time, gerald is eight less than five times his nephews age. seven years ago gerald was 9 times his nephews age. (A)if g represents geralds age now and n represents his nephews age today. use a system of equations that could be used to model this scenario?(B)than use the equations to determine algebraically the ages of both Gerald and his nephew.(C)than determine in how many years Gerald will be three times as old as his nephew? How do I solve this? (3^0y)^2x2(xy)^0 XYZ Tile Installation Corporation measures its activity in terms of square feet of tile installed. Last month, the budgeted level of activity was 1,180 square feet and the actual level of activity was 1,270 square feet. The company's owner budgets for supply costs, a variable cost, at $3.50 per square foot. The actual supply cost last month was $4,980. What would have been the spending variance for supply costs 3(x-1) (x+1) -6. Topic is Linear inequalities The ability to overcome all barriers to effective listening is within our control.TrueFalse What does gene mutation mean? Chet has $1200 invested in a bank account modeled by the function P(n) = 1200(1.002) Question 1(Multiple Choice Worth 3 points)The ancient Romans influenced the Enlightenment thinkers and the Founding Fathers. Which of the following events best reflects the republican government of ancient Rome? A town holds a meeting, and every citizen present votes to make a decision. People vote for representatives who will make decisions on their behalf. The president makes a speech about the need to protect rights for all citizens. National leaders decide to split government into three separate branches.Question 2(Multiple Choice Worth 3 points)If people believe that separation of powers is important, which of the following would not be a government they support? a government where responsibility is divided between groups of people a government where a single ruler, like a king, makes all the decisions a government with legislative, executive, and judicial branches a government where no one group of people has all the controlQuestion 3(Multiple Choice Worth 3 points)Which of the following ideas from the Baron de Montesquieu influenced the Founding Fathers? Separation of powers Declaration of independence Social contract Natural lawQuestion 4(Multiple Choice Worth 3 points)According to John Locke, the "natural rights" are separation of powers will of the majority and power social contracts and voting life, liberty, and propertyQuestion 5(Multiple Choice Worth 3 points)Which of the following ideas is about dividing government into legislative, judicial, and executive branches? Separation of powers Social contract Natural rights Will of the majorityQuestion 6(Multiple Choice Worth 3 points)The idea of "natural rights" means that people have the right to life, liberty, and property government may rule because of citizen agreement people divide government into three tasks government has final authority over all citizensQuestion 7(Multiple Choice Worth 3 points)Which of Europe's Enlightenment philosophers wrote about natural rights? John Locke Baron de Montesquieu George Washington Thomas HobbesQuestion 8(Multiple Choice Worth 3 points)John Locke believed that if government does not protect natural rights, then citizens know that the government is working because they have safety it breaks the social contract, and people can create a new government citizens should combine the parts of government into a single branch it must have a good reason for doing so, and citizens should not complainQuestion 9(Multiple Choice Worth 3 points)Read the quote. Then answer the question that follows."Government, even in its best state, is but a necessary evil; in its worst state an intolerable one; for when we suffer or are exposed to the same miseries by a government, which we might expect in a country without government, our calamity is heightened by reflecting that we furnish the means by which we suffer."Thomas PaineWhich of the following Enlightenment ideas does Thomas Paine reflect in the phrase furnish the means? Separation of powers, because the means of government are the responsibilities of each part Limited government, because creating a limited government would only cause suffering Social contract, because people can agree to a bad government as easily as to a good one Natural law, because leaving a people to a state of nature would cause sufferingQuestion 10(Multiple Choice Worth 3 points)Read the quote. Then answer the question that follows.The judicial power ought to be distinct from both the legislative and executive, and independent upon both, that so it may be a check upon both, as both should be checks upon that. John AdamsWhich of the following Enlightenment ideas does John Adams support in this quote? separation of powers limited government social contract natural lawIF WRONG = REPORT IF CORRECT = NITRO ON DISCORD + BRAINLIST If R1 and R2 are in parallel and R3 is in series with them then equivalent resistance will be 2. A carpenter wants to cut a wood board that is feet longd on5into pieces that are feet long. How many whole piecescan be cut from the board? How much wood is left over16 What's the difference between interpersonal and institutional bias? Mandy borrows $10,000 for 3 years at a 6% interest. What is the cost of the loan, or total interest? Sienna is determining the solution 6b + 12 = 102 A:15 B:17 C:90 D:102