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7. Pug the penguin ride a cart along a track as shown in the figure. The graph shows the force exerted by Pug to propel the cart from point A to point B as a function of time. Pug is initially at rest at point A. The combined mass of Pug and the cart is 30.0 kg. FIN) 5 10 15 20 25 30 35 40 45 a) Calculate the work done by Pug as he moves from point A...
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Pug the Rock-hopper penguin has a speed of 8.00 m/s at point A. His mass is 4.00 kg. The hill between points A and C is frictionless a. Pug slides down the hill from point A to point B. Calculate Pug’s speed at point B.Pug arrives at point C and has an inelastic collision with Zazza the Adelie penguin, who is initially at rest and is 2.00 kg. After the collision Zazza is moving rightwards at 18.0 m/s. b. Calculate...
The three penguins Pug, Tug and Click are standing in the coordinates as indicated in the diagram (below left). Assume the penguins can be treated as point sized objects, with mass as indicated on the diagram. Calculate the coordinate of the center of mass of the system of penguins. Express your answer in unit vector notation. Origin -0.6 m 08 m 2.0 kg 0.8m+ 1.0 m 5.0 kg 9 kg Click 3.0 kg 1.0 m +-4
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The following table illustrates the activities of a small project Duration Days) Activity Depends orn 7 7 9 2 419 A a. Calculate the mean Project duration; b. Write and Highlight the Critical Path; c. Find the probability to finish this project at 15 days; d. Find the probability to finish this project at 19 days; e. Find the project duration that satisfies probability equal to 8 %; f. Find the project duration that satisfies probability equal to 92 %.
ef) Test no hether Wiz Significane for the gilen Sample 9 9.7 Confidence interval about - N2 are nor Assume that both population the e=0.01 level distributed data 16) Construct a 99%.
10. Prove that P(E UFUG)P(E) P(F) + 2P(EFG). 11. If P(E)9 and P(F).8, show that P(EF .7 In general, prove Bonferroni's inequality, namely, P(EF) 2 P(E) + P(F)-1 13. Prove that P(EF*)= P(E)-P(EF).