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mathematics
september 2021
24

Mathematics Questions and Answers September 24, 2021

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This season, the probability that the Yankees will win a game is 0.55 and the probability that the Yankees will score 5 or more runs in a game is 0.57. The probability that the Yankees lose and score fewer than 5 runs is 0.37. What is the probability that the Yankees win and score 5 or more runs? Round your answer to the nearest thousandth .

Express the number .0057 as a percent rounded to the hundredth place. (Please include the % symbol.) Answer 1. 5.7% 2. 57% 3. .57% 4. .057%

Example #3 Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates 7(-2,3) #(-5,-4), A(2,-1) and MY(5.). Jim believes that he has created a rhombus but not a square. Prove that Jim is correct. [The use of the grid is optional.]

Show that the set W of all vectors that are of the form x = (a, b, 2a, 3b, - a) in which a and b are any real numbers is a subspace of R 5 by finding a set of spanning vectors for W. What kind of geometric object is W ?

Calculate the final selling price to the nearest cent and markdown percent to the nearest hundredth percent: Original selling price $4900 1st markdown: 20% 2nd markdown: 10% markup: 12% final markdown: 5% Final selling price: $ Markdown percent: %

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