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Q: 1. Sketch the curve 4(x − 1)² — 9(y + 1)² = 36 in R². What is this curve? -
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- 5Suppose that in the first half of a certain season, Dustin Pedroia of the Boston Red Sox batted .300 while Mike Napoli batted only .275. And further suppose that in the seocnd half, Pedroia batted .250 while Napoli batted only .240. Someone claims that Napoli had a higher batting average for the entire season than Pedroia. Is that possible, or must the claim be rejected outright?I need help wiith all parts of this quesiton 19Assume that in a university with 1000 students, 200students are taking a course in mathematics, 300 aretaking a course in physics, and 50 students are takingboth. How many students are taking at least one of thosecourses? How many are taking none of those courses? Howmany students are taking only Mathematics?
- Choose the correct Boolean Expresion describe by the given black diagram.A lottery issues tickets whose number is made up ofsix digits, the first digit not being zero. What is theprobability that the winning number is made up of six digitsdifferent ?a 50 letter combiantion comes from {P,Q,R,S,T,U} where letters can be repeated how many 50 letter combinations can take place while meeting the three conditions conditon 1 - at elast 8 Ps , atleast 8 Qs , and 8Rs conditon 2 - at least 3Us are required conditon 3 - exaclty 5Ss and exaclty 5 Ts are rwquired
- Give a contrapositive proof: For every 2D table of blue and gray pebbles, if the total number of gray pebbles is at most the number of columns, then at least half of the columns are almost-blue. (Note: almost-blue is to mean the column has at most one gray pebble.) Be sure to clearly explain.7,8,9 Written out on the X form way A- B- C- X- labelProve that the following are equivalent by using rules of replacement (picture attached)
- what is req for A+B to existConstruct a Venn Diagram for the scenario. Suppose that a total of 208 students are enrolled in a Math course which offers three classes under Instructor X, Instructor Y, and Instructor Z. 4 students are enrolled under all three instructors. 48 students are enrolled under Instructor. Y. Twice as many students are enrolled under Instructor Y and Z (but not Instructor X) as those who are enrolled under both Instructor Y and X (but not Instructor Z), and 4 times as many as those enrolled under all three instructors. 124 students are enrolled in Instructor Z. 27 students are not enrolled in any class. Students enrolled under both Instructor Y and Z (but not Instructor X) is exactly the same size as the students enrolled under both Instructor X and Z.In ZFC How does the Axiom of Separation prevent Russell's paradox? Thanks