Combination v permutation Combination order doesn’t matter Permutation order matters Permutation -can be with replacement‚ which means same probability every time N x n x n x n (r times) -Without replacement: decrease in possibilities: n x (n-1) x(n-2) etc (n!/(n-r)!) Combination Without repetition (like lottery): you assume its permutation then you divide by r! (there are r! ways to arrange when order counts) (n!/ r!(n-r)!) the sum of the angles in any polygon is 180 x (number
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About the Cover Peter Blair Henry received his first lesson in international economics at the age of eight‚ when his family moved from the Caribbean island of Jamaica to affluent Wilmette‚ Illinois. Upon arrival in the United States‚ he wondered why people in his new home seemed to have so much more than people in Jamaica. The elusive answer to the question of why the average standard of living can be so different from one country to another still drives him today as a Professor of Economics in
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Real number Irrational numbers π ‚ √�� Rational numbers Integers Whole Natural 3 5 1 2 4 2 2 3 Rational Like: Integers {…‚ -3‚ -2‚ -1‚ 0‚ 1‚ 2‚ 3…….} Whole {0‚ 1‚ 2‚ 3…} Natural {1‚ 2‚ 3…} ‚ ‚ ‚ Properties of real numbers 1234- Reflexive property a=a Symmetric property a = b then b = a Transitive property a = b and b = c then a = c Principle of substitution if a = b then we can substitute b for a in any expirations Commutative properties a+b=b+a ‚ a.b=b.a Associative properties
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CBSE Sample Question Paper (Solved) [Released by CBSE‚ New Delhi in July 2010 for First Term (SA-I) to be held during the academic year 2010-11 and onward] Time : 3 to 3 1 hours 2 M.M. : 80 General Instructions (i) All questions are compulsory. (ii) The question paper consists of 34 questions divided into four sections A‚ B‚ C and D. Section A comprises of 10 questions of 1 mark each‚ Section B comprises of 8 questions of 2 marks each‚ Section C comprises of 10 questions of 3 marks each and
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Grade 12 Term 3 Student Name: _______________________ ID#: ________________ Student Name: _______________________ ID#: ________________ Section: _____ 2012 2013 OBJECTIVES This project will involve students in: solving real world problems with the use of Trigonometric Identities (sum and difference of angles identities‚ double angle and half angle identities). evaluating limits algebraically. Task 1: COMMUNICATION Radio waves that pass through the same place at the same time
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Question1: Frequency Distribution. Histograms‚ Cumulative Frequency and Ogives. 1) a) 799 b) 1000 c) 900+9992 = 949.5 d) Lower Class Boundary=1100-0.5 =1099.5 Upper Class Boundary=1199.5+0.5=1199.5 e) 100 f) 76 g) 62400×100=15.5 h) 600-699‚ the fourth class has the largest frequency of 76. i)14+46+58400 ×100=29.5% j) 48+22+6400 ×100=19.0% k) 4002=200 200 lie in the fifth class interval 700-799 ∴The median lies in this interval. =l+n2-cff×h =700+200-19468×99 =708.735 l)
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GPS AND TRIANGULATION GPS calculation works on the principle of the receiver (example the handheld GPS receiver on car or mobile) calculating the distance of that receiver from a set of known points. 1) The receiver needs to receive a straight line signal (also called line of sight) from the known point without reflection. The best things that can do that are satellites overhead. 2) To enable that‚ the US department of defence has setup 24 low earth orbit (LEO) satellites. They are called the
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their life‚ and why they spend so much time playing them. But kids do not have a voice in our society. Although they are empowered in many areas of their life‚ they still have a hard time getting their story out. My observation is that kids would rather play video games then pay attention in school and do the work. Kids get bored with school having to go five days a week for about nine months. Kids enjoy the weekends and having free time to themselves.
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are many applications of math in racing. The purpose of racing is to win and in order to do that there must be a lot of math involved. If you don’t use math and use it correctly then you will not win. Mathematics is involved in racing in two ways‚ the car setup and scoring an measurements. The car setup involves tire pressure‚ down force‚ wedge‚ aerodynamic Drag‚ camber‚ track bar and valance. The scoring system also uses math. In addition to scoring math is also used to measure
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Alex Bolstrum 11/5/14 1st Math Extra Credit Essay In the graphs provided it is very obvious that the author in the second graph has lied. The graphs were exactly the same besides the fact that in the second graph the author added a break in the graph which completely skews the data. Instead of looking like a modest profit growth like the first graph it looks like a huge increase in profit because the whole graph is not shown. The scale on the first graph is bigger so it doesn’t look like as big
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