Chebyshev’s Theorem and The Empirical Rule Suppose we ask 1000 people what their age is. If this is a representative sample then there will be very few people of 1-2 years old just as there will not be many 95 year olds. Most will have an age somewhere in their 30’s or 40’s. A list of the number of people of a certain age may look like this: |Age |Number of people | |0 |1 | |1 |2 | |2 |3
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In mathematics‚ the Pythagorean Theorem — or Pythagoras’ theorem — is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas‚ it states: In any right-angled triangle‚ the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). The theorem can be written as an equation relating the lengths
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4.14 TRIANGLES Triangles are three-sided shapes that lie in one plane. Triangles are a type of polygons. The sum of all the angles in any triangle is 180º. Triangles can be classified according to the size of its angles. Some examples are : Acute Triangles An acute triangle is a triangle whose angles are all acute (i.e. less than 90°). In the acute triangle shown below‚ a‚ b and c are all acute angles. Sample Problem 1: A triangle has angles 46º‚ 63º and 71º. What type of triangle is this? Answer:
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HYDROLOGY & HYDRAULIC ENGINEERING I LABORATORY REPORT 3 TITLE : BERNOULLI’S THEOREM APPARATUS NAME : ID. NO. : SECTION : 02 EXPERIMENT DATE : 10th December 2009 SUBMISSION DATE : 17th December 2009 GROUP NO. : 2 GROUP MEMBERS : LECTURER : LAB INSTRUCTOR : TABLE OF CONTENT Content | Page | Summary | 2 | Objective | 2 | Theory | 3 - 5 | Equipment/ description of experimental apparatus | 6 | Procedure | 6 | Data and observation | 6a | Analysis | 7‚8
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Poverty in Real life vs. Gilead The issue of poverty would be handled differently in Gilead than in real life‚ as it would include hiding the truth from the citizens of society‚ sending the poor to the colonies and ignoring the issue altogether. A major difference between Gilead and in real life‚ would be that in Gilead the government would attempt to resolve this issue by concealing the hard facts about poverty within their society. Unlike in real life‚ most people find out about issues as they
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Greek mathematician and philosopher. Pythagoras was responsible for important developments in the history of mathematics‚ astronomy‚ and the theory of music. The thing that Pythagoras is probably the most famous for is the Pythagorean Theorem. The Pythagorean Theorem is used in the field of mathematics and it states the following: the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides. This means that if one makes a square (with all sides equal in
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The AKS primality test (also known as Agrawal–Kayal–Saxena primality test and cyclotomic AKS test) is a deterministic primality-proving algorithm created and published by Manindra Agrawal‚ Neeraj Kayal‚ and Nitin Saxena‚ computer scientists at the Indian Institute of Technology Kanpur‚ on August 6‚ 2002‚ in a paper titled "PRIMES is in P".[1] The authors received many accolades‚ including the 2006 Gödel Prize and the 2006 Fulkerson Prize‚ for this work. The algorithm determines whether a number
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A real life by Alice Munro I would like to start this presentation by asking you and myself something; what is a real life? I would like you to think for a few seconds‚ what is a real life for you‚ is it something subjective or objective‚ is it something easy or difficult to answer. Maybe‚ if we go beyond‚ I can ask you‚ what is real for you? Indeed‚ this is a difficult question‚ but I think that the writer of this story that we are discussing now‚ made a very close attempt to answer this huge
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TV Shows and Real Life TV shows are probably the primary source of entertainment for the average American. Most of them run from 7 p.m. to 10 p.m. with reruns starting at 5 p.m. We watch them because they give us something to do‚ a way to relax‚ something to help pass the time. We all watch different shows‚ some people like "Married...with Children"‚ some are repulsed with it‚ but like to watch "Home Improvement"‚ what draws particular crowds to certain shows? How do these shows portray the
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Pythagorean Theorem: Some False Proofs Even smart people make mistakes. Some mistakes are getting published and thus live for posterity to learn from. I ’ll list below some fallacious proofs of the Pythagorean theorem that I came across. Some times the errors are subtle and involve circular reasoning or fact misinterpretation. On occasion‚ a glaring error is committed in logic and leaves one wondering how it could have avoided being noticed by the authors and editors. Proof 1 One such error appears
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