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Questions in Grade College

📝 Answered - Select the correct answer. $\triangle A B C$ with vertices $A(-3,0), B(-2,3), C(-1,1)$ is rotated $180^{\circ}$ clockwise about the origin. It is then reflected across the line $y=-x$. What are the coordinates of the vertices of the image? A. $A^{\prime}(0,3), B^{\prime}(2,3), C(1,1)$ B. $A^{\prime}(0,-3), B^{\prime}(3,-2), C^{\prime}(1,-1)$ C. $A^{\prime}(-3,0), B^{\prime}(-3,2), C(-1,1)$ D. $\left.A^{\prime}(0,-3), B^{\prime}(-2,-3), C^{\prime}-1,-1\right)$

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - Alright so with that information, let's put together your balance sheet. A Personal Balance Sheet is a statement of your net worth. It is an accounting of what you own as well as what you owe. But first, what are the main categories that belong on a personal balance sheet? Select all that apply: A. Liabilities B. Checking/Savings C. Credit Cards D. Assets

📝 Answered - Select the correct answer. Polonium-210 decays once before it becomes a stable atom. What is that stable atom? [tex] {}_{84}^{210} Po \rightarrow \ldots+{ }_2^4 He [/tex] A. [tex] {}_{82}^{206} Pb [/tex] B. [tex] {}_{84}^{210} Po ^{-} [/tex] C. [tex] {}_{86}^{214} Rn [/tex] D. [tex] {}_{86}^{222} Rn [/tex] E. [tex] {}_{82}^{214} Pb [/tex]

📝 Answered - The average score for games played in the NFL is 21.2 and the standard deviation is 9 points. 48 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of [tex]$\bar{x} \sim N($[/tex] [tex]$\square$[/tex] , [tex]$\square$[/tex] ) b. What is the distribution of [tex]$\qquad x ? \sum x \sim N($[/tex] [tex]$\square$[/tex] , [tex]$\square$[/tex] ) c. [tex]$P (\bar{x}\ \textgreater \ 19.6515)= \square$[/tex] d. Find the 68th percentile for the mean score for this sample size. [tex]$\square$[/tex] e. [tex]$P (19.5515\ \textless \ \bar{x}\ \textless \ 22.5495)= \square$[/tex] f. Q1 for the [tex]$\bar{x}$[/tex] distribution [tex]$= \square$[/tex] g. [tex]$P \left(\sum x\ \textgreater \ 996.072\right)= \square$[/tex] h. For part c) and e), is the assumption of normal necessary? Yes No

📝 Answered - What is the value of [tex]$x$[/tex] in the equation [tex]$2x + 3y = 36$[/tex], when [tex]$y = 6$[/tex]?

📝 Answered - What did the US do in response to the Soviet Union's invasion of Afghanistan in 1979? A. Mobilized NATO in the event of escalation of hostilities B. Suspended grain shipments to the Soviet Union C. Send military forces to oust Soviet troops D. Established a naval blockade to prevent shipment of arms

📝 Answered - A department store holds a year-end clearance sale that includes a 9.1% discount on cosmetics. Find the sale price of a bottle of perfume if its original price was $71.29.

📝 Answered - Read the following lines from Macbeth: "I must not look to have, but, in their stead, Curses, not loud but deep, mouth-honor, breath Which the poor heart would fain deny and dare not. Seyton!" What do these words tell us about Macbeth's state of mind on the eve of battle? A. He is angry that Lady Macbeth has killed herself and left him alone. B. He feels ill and is worried that he will not win the upcoming battle. C. He is confident he will win the battle because of the witches' prophecies. D. He is prepared to die and regrets that he will not grow old gracefully.

📝 Answered - 1) $A, B, C, D$ are points on a circle centered at $0$. $\angle ADB = 57$ and $\angle BCD = 10$. Consider the function defined on a set of numbers by $h(x) = -7px^2 + 9x - 2$. If $h(i) \Rightarrow$ card $\#(\frac{5}{2}x) = 10$, find: i) the value of $p$ and $q$ ii) the zeros of $h(x)$ iii) the points $p(60^{\circ}N, 35^{\circ}E)$ and $q(600NH8)$ lie on the surface of the earth. Illustrate the information.