1. The street of a city are arranged like the lines of a chessboard ‚ there are m street running north and south and n east and west . Find the no. ways in which a man can travel from N.W to the S.E corner‚ going by the shortest possible distance. 2. How many different arrangement can be made out of the letters in the ex-pression a^3b^2c^4 when written at full length? Ans. 1260. 3. How many 7-digit numbers exist which are divisible by 9 and whose last but one digit is 5? 4. You continue
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Angeline Foote 00215-‐0022 Mathematics SL Inter’l School of Tanganyika 2014 The Birthday Paradox: An Exploration of Probability Angeline Foote Candidate number: 00215-‐0022 Mathematics Standard Level Teacher: Mr. Michael Smith International School of Tanganyika 2014
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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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The teacher’s hypothesis is horribly inaccurate. First of all‚ Scenario A is the only linear function in the group consisting of A‚B‚ and C. Scenario B is a function‚ but not linear. Scenario C is not a function. Scenario A has all the criteria of a linear function. For every independent variable (aka “x” value or input) in the domain‚ there is one and only one dependent variable (aka output or “y” value) in the range. It can be written in the form “y=mx+b” where “m” and “b” are real numbers‚ “x”
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Determining the Enthalpy of Combustion of a Wood Chip IB Chemistry 12 September 18‚ 2014 Ryan Ingham Table 1: Raw data collected from the temperature probe and scale for the water‚ the aluminum can and the wood chip. (Quantitative) Quantity Initial Temperature (±0.1K) Final Temperature (±0.1K) Aluminum Can 46.29g (±0.01g) 296.5 314.7 Water 250g (±0.1g) 296.5 314.7 Wood Chip Before: 4.64g(±0.01g) After: 3.29g (±0.01g) NA
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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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MATME/PF/M12/N12/M13/N13 MATHEMATICS Standard Level The portfolio - tasks For use in 2012 and 2013 © International Baccalaureate Organization 2010 7 pages For final assessment in 2012 and 2013 2 MATME/PF/M12/N12/M13/N13 C O N T E N TS T y p e I t as k s Circles T y p e I I t as k s Fish Production Gold Medal Heights INTRODUC TI ON W h a t is t h e p u r p ose of t h is d oc u m e n t ? This document contains new tasks for the portfolio in mathematics SL
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* O C E / 2 6 2 9 0 * Data‚ Formulae and Relationships Booklet (Revised Version 2.1) GCE Advanced Level and Advanced Subsidiary Physics A Physics units G481‚ G482‚ G484‚ G485 Instructions to Exams Officer/Invigilator • Do not send this Data Sheet for marking; it should be retained in the centre or destroyed. These data‚ formulae and relationships are for the use of candidates following the Physics A specification. Clean copies of this booklet must be available in the examination room‚ and must
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