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A random sample of 68 SAT scores of students applying for merit scholarships showed an average of 1300 with a standard deviation of 240. If we want to provide a 95% confidence interval for the population mean SAT score, what are the degrees of freedom for reading the t value? 6465 6667

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Management is considering two options. Option 1 has projected revenue per year of $100,000 and costs of $70,000 while Option 2 has revenue of $100,000 and costs of $60,000. Both projects require an initial investment of $250,000 of which $75,000 has already been set aside and will be used as a down payment on the project that is chosen. There are also other qualitative factors that management must consider before making a final choice. Which of the following statements is correct about relevant costs and relevant revenues. 2 points A The only relevant item are the costs as they differ between alternatives B The projected revenues are relevant to the decision C The sunk cost of $75,000 is relevant D The initial investment of $250,000, the projected revenues, and the projected costs are all relevant

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Write a program that takes in three integers and outputs the largest value. If the input integers are the same, output the integers' value. Ex: If the input is: 1 2 3 the output is: Max of [1, 2, 3] is 3

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What is the legal burden of the prosecution to prove a defendant is guilty in a criminal case?

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$2x \frac{dy}{dx} + y = 2x \sin x,$

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Write out the form of the partial fraction decomposition of the function (See Example). Do not determine the numerical values of the coefficients. (a) 1/ (x2 − 2x)(x + 9)^2

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c. For each star, roll a die, and give it absolute magnitude MV = MV,£ + 0.3(N - 3.5), where N was the roll of the die. Now assume you have a survey with a limit of MV = 9.8; these stars are your sample. Which stars do you see? What is their distribution of distances and absolute magnitudes?

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MIDDLESEX COLLEGE ECO 201-01: SPRING 2023. HOMEWORK #2, DUE 4/26/2023 C. below equilibrium. D. More information is needed. 18. Which of the following is the basic economic policy function of the Federal Reserve Banks? A. holding the deposits or reserves of commercial banks B. acting as fiscal agents for the federal government C. controlling the supply of money D. collecting or clearing checks among commercial banks 19. If investment decreases by $25 billion and the economy's MPC is 0.5, the aggregate demand curve will shift A. B. leftward by $50 billion at each price level. rightward by $25 billion at each price level. rightward by $50 billion at each price level. C. D. leftward by $75 billion at each price level. 20. If inventories unexpectedly rise, then production ______ sales and firms will respond by ______ output. A. trails; expanding B. trails; reducing C. exceeds; expanding D. exceeds; reducing 21. Suppose that real domestic output in an economy is 144 units, the quantity of inputs is 12, and the price of each input is $4. The level of productivity is A. 24. B. 144. C. 10. D. 12. 22. The M2 money supply includes A. stock certificates. B. currency in bank vaults. C. the cash value of life insurance policies. D. individual shares in money market mutual funds 23. Suppose that real domestic output in an economy is 120 units, the quantity of inputs is 50, and the price of each input is $6. The per-unit cost of production in the economy described is A. $4.00 B. $25. C. $2.5 D. $20. Page 3 of 7

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Suppose there is a policy debate over whether the United States should impose trade restrictions on imported ball bearings: A congresswoman from a state with several ball-bearing factories argues that the government should impose a tariff on ball bearings because they are a necessary input into the production of various weapons. Free trade would make the United States overly dependent on foreign countries for the supply of ball bearings. In case of a war, the United States might not be able to make or purchase enough ball bearings and, therefore, would not be able to make enough weapons to defend itself. Which of the following justifications is the congresswoman using to argue for the trade restriction on ball bearings? Infant Industry argument National security argument Employment argument Cheap foreign labor argument Grade It Now Save & Continue Continue without saving

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1) When dealing with rigid bodies, an important assumption is made: No two points on the rigid body can move closer or further to each other. This is interesting when dealing with the motion of the rigid body - the relative motion between any two points on the rigid body can have no translation but can only have fixed point rotation. In other words, if we imagine we are at point B on a rigid body and we observe another point A on the same rigid body then point A can only ever move in rotation around us at a fixed radius, in can not move closer or further from us. For the rigid bar AB in this problem, this means: $\vec{V}_{A/B} = \vec{\omega}_{AB} \times \vec{r}_{A/B}$ Fixed point rotation eqn (pt. A rotating around pt.B) We can also still relate the relative motion to the absolute velocities: $\vec{V}_{A/B} = \vec{V}_A - \vec{V}_B$ This is our old equation for relative motion For problem 1, solve for the magnitude of velocity $V_B$ and the angular acceleration of the bar $\omega_{AB}$ if $V_A = 3$ m/s, using the vector equation below (combines the two relative velocity eqns from above): $(\vec{\omega}_{AB} \times \vec{r}_{A/B}) = \vec{V}_A - \vec{V}_B$ Fill in the vector terms and execute the cross- product, then you can separate the $i$ terms for the x-equation and the $j$ terms for the y-equation. You can then solve two equations for the two unknowns.

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brittany e.