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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this term in year 11 we have collected data from two different species of trees and compared this data in graphs and statistics. we needed to prove or decline that as trees grow larger there leavs get smaller due to the fluid flow within the tree TABLE OF CONTENTS Part A: INTRODUCTION EXPECTAIONS‚ PREDICTIONS AND ASSUMPTIONS PAGE 3 DATA SECONDARY DATA – STEM AND LEAF PLOT PAGE 4 SECONDARY DATA – LINE GRAPH AND OGIVES PAGE 6 SECONDARY DATA
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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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Fifth Grade Multiplying and Dividing Fractions North Carolina Department of Public Instruction www.ncdpi.wikispaces.net Overview The implementation of the Common Core State Standards in Mathematics (CCSSM) is both an exciting and anxious time for teachers around the country. Part of the excitement is the CCSS inclusion of both the Content Standards and the Standards for Mathematical Practice. The Standards for Mathematical Practice provide a foundation for the process skills that
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Introduction Obesity can lead to various health problems. My school has decided to carry out a “Healthy Lifestyle Campaign” with the aim to create awareness among students about obesity-related health problems. The Body Mass Index (BMI) gives an indication of the physical state of person as being underweight‚ normal‚ overweight or obese. BMI can be calculated by using the following formula: BMI = History Body Mass Index (BMI) The body mass index (BMI)‚ or Quetelet index
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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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