# Draw each of the following compounds a triethyl cyclopentene b butyl butyl benzene c ethyl fluoro dimethyl octyne d propyl cyclohexadiene e benzyl butyl iodo heptane

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l butyl benzene c) 2-ethyl-7-fluoro -3,6-dimethyl 4-octyne d) 2-propyl-1,4-cyclohexadiene e) 2-benzyl-4-butyl-2-iodo heptane
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g and 30 cm each, respectively. Both M1 and M2 rest on frictionless surfaces and the system starts from rest. (a) Draw the fbd for each of M1, M2 and the pulley. (b) Write the equations of motion for each of M1, M2 and the pulley. (c) Calculate the linear acceleration of the two masses, as well as the angular acceleration of the pulley. (d) Calculate the angular velocity of the pulley after M1 and M2 have been displaced linearly by 2 m. Q2) (10 points) A basketball is thrown with an initial speed v0 of 10.8 m/s at 400 above horizontal, and it enters the hoop from above. The ball is released at 2.00 m above the ground. The hoop is 3.05 m above the ground and 10.0 m away from the player. (a) Find the time at which the ball passes through the hoop. (b) Find the ball’s velocity (express in component form) just when it enters the hoop. (c) Find the ball’s maximum height. Q3) (5 Points) An object is thrown up from the top of a building of height of 400 m with an initial velocity of 20 m/s. (a) Find the position and the velocity of the object 5 s later. (b) With what velocity will it hit the ground? (c) At the same time the first object is thrown up, a second object is thrown up from the ground at 100 m/s. Will the two objects collide? If yes, calculate when and where,
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y aces or twos, you lose the game immediately. You also lose if you draw picture cards(J,Q,K) more than twice. In this question, you’ll study the probability of winning this game.(a) What is the probability of drawing no aces or twos after thirteen draws?(b) Given you have drawn thirteen times, none of which is aces or twos, what is the probability that you draw at most two picture cards?(c) What is the probability to win this game? 12. Suppose you are tossing an unbiased coin for100times.(a) What is the probability of getting50heads and50tails?(b) LetXbe the random variable counting the number of heads you observe in this exper-iment. What is the expected value ofX? What is the variance ofX? What is thestandard deviation ofX? 13. The following are probability distributions for two random variablesX,Y. kPr(X=k) 0,0.4 1,0.3 2,0.3 kPr(Y=k) 0,0.5 1,0.3 2,0.2 (a) Construct the probability distribution table for the random variableXY.(b) Find E[X],E[Y] and E[XY]. Is is true that E[XY] =E[X]E[Y]?(c) Find the variances σ2X,σ2Y,σ2XY of X,Y and XY. Is it true that σ2XY=σ2Xσ2Y? 14. The aliens who are fond of gambling came back to play another game with you. In this game, you first toss a coin5times. If you observe3or fewer tails, you roll a die3times. If youobserve4or more tails, you roll a die20times. What is the probability that you end up with at most two6’s in your dice rolls? 15. (Challenge question, worth2points) You have two bags, each of which contains10marbles.Each time you remove a marble from a random bag. What is the probability that after one of the bags is emptied, there are still exactly3marbles in the other bag?
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vice. The company has four stores located at malls and is planning on expanding to other locations. Each store has a manager, a technician, and between one and four sales reps. The owners want to create a personnel records database, and they asked you to review a table that they had designed. They suggested fields for Store Number, location, store telephone, manager name, and manager home telephone. They also want fields for technician name and technician home telephone and fields for up to four sales rep names and sales rep home telephones. Draw an Entity Relationship Diagram modeling their suggested design. Analyze their original design using the normalization concepts you learned in Module 9. For this part of the question, make sure you begin with the original table in an unnormalized form as requested by the company. Work your way through 1st, 2nd, and 3rd normal forms. At each point, be sure you use the standard notation format to show the changes in the structure of your table(s) (Module 9; 9.6.1). During your analysis, be sure to explicitly illustrate/write about the reason behind the design decisions you make. Additionally, each normal form should have it's own section/heading. Draw a final ERD showing your final analysis showing the relationship among the entities you identified during normalization
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rvice. The company has four stores located at malls and is planning on expanding to other locations. Each store has a manager, a technician, and between one and four sales reps. The owners want to create a personnel records database, and they asked you to review a table that they had designed. They suggested fields for Store Number, location, store telephone, manager name, and manager home telephone. They also want fields for technician name and technician home telephone and fields for up to four sales rep names and sales rep home telephones. a. Draw an Entity Relationship Diagram modeling their suggested design. b. Analyze their original design using the normalization concepts you learned in Module 9. For this part of the question, make sure you begin with the original table in an unnormalized form as requested by the company. Work your way through 1st, 2nd, and 3rd normal forms. At each point, be sure you use the standard notation format to show the changes in the structure of your table(s) (Module 9; 9.6.1). During your analysis, be sure to explicitly illustrate/write about the reason behind the design decisions you make. Additionally, each normal form should have it's own section/heading. c. Draw a final ERD showing your final analysis showing the relationship among the entities you identified during normalization
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given in a local coordinate frame. Draw the result of applying each of the following transformations to the flag. Label the new coordinates for the four vertices labelled above. Show values to 1 decimal place. R(-90°) S(-2,1) T(1,2) R(180°) R(90°) T(-1,0) S(1,2) R(-45°) R(-45°) S(1,2)
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2,3,4,7). If it lands tails, a fair six-sided die is thrown (with values 3,4,5,6,7,9). Regardless of which die is used, Alice eats n grains of rice, where n is the largest prime factor of the die result (for example, the largest prime factor of 9 is 3). (a) What is the conditional probability that the coin lands heads, given that Alice eats three grains of rice? (b) Suppose that the entire experiment is conducted twice on the following day (starting with a new coin toss on the second run-through). What is the conditional probability that the coin lands heads on both run-throughs, given that Alice eats a total of five grains of rice during the two run-throughs? (Do not count the two grains from part (a) in part (b); we assume two brand new experiments, each with a new coin toss. Start your solution by defining a suitable partition of the sample space. Please use an appropriate notation and/or justification in words, for each value that you give as part of your solution.) Exercise 5) Alice and Bob throw an unfair coin repeatedly, with probability 2/5 of landing heads. Alice starts with £2 and Bob starts with £3 . Each time the unfair coin lands heads, Alice gives Bob £1 . Each time the unfair coin lands tails, Bob gives Alice £1 . The game ends when one player has £5 . (a) Draw a labelled Markov chain describing the problem, and write down a transition matrix P. Write down the communication classes, and classify them as either recurrent or transient. (b) Using the transition matrix, calculate the probability that Alice loses all of her money in exactly four tosses of the unfair coin. (c) Calculate the (total) probability that Alice loses all of her money (before Bob loses all of his). (d) Calculate the expected (mean) number of tosses of the unfair coin, for the game to end.
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0.5 kilometers. a) Draw a figure to represent the above problem. Let l and w represent the length and width of the rectangle, respectively. b) Write the area A of the rectangular region as a function of I and in meters (not kilometers). c) Write the area A of the rectangular regional as a function of w and in meters (not kilometers).
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics