h b Volume of sphere = 4 r 3 3 Surface area of sphere = 4 r 2 r Volume of cone = 1 r 2h 3 Curved surface area of cone = rl l r h In any triangle ABC b A c a sin A b sin B C a B The Quadratic Equation The solutions of ax 2 + bx + c = 0 where a 0‚ are given by x= −b ± (b 2 − 4ac) 2a Sine Rule c sin C Cosine
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Determine the sampling distribution of the sample mean for samples of size 60. b . Repeat part (a) for samples of size 120. c . Must you assume that the blood glucose levels are normally distributed to answer parts (a) and (b)? Explain your answer. Ans: a . Approximately normally distributed with mean 4.60 and standard deviation 0.021. b . Approximately normally distributed with mean 4.60 and standard deviation 0.015. c . No‚ because‚ in each case‚ the sample size exceeds 30. 2. Diamond Pricing
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division of Macmillan Publishers Limited Companies and representatives throughout the world www.macmillan-caribbean.com ISBN: 978-0-230-40738-1 Text © Derek McMonagle 2011 Design and illustration © Macmillan Publishers Limited 2011 All rights reserved; no part of this publication may be reproduced‚ stored in a retrieval system‚ transmitted in any form or by any means‚ electronic‚ mechanical‚ photocopying‚ recording‚ or otherwise‚ without the prior written permission of the publishers. Design by Tech Type
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– 3 Surface area of sphere = 4 π r 2 1 Volume of cone = – π r2h l 3 h Curved surface area of cone = π rl r In any triangle ABC Area of triangle = 1 – 2 C ab sin C a b b a c Sine rule ––––– = ––––– = ––––– sin A sin B sin C A c B Cosine rule a2 = b2 + c2 – 2bc cos A The Quadratic Equation The solutions of ax2 + bx + c = 0‚ where a ≠ 0‚ are given by – b ± √ (b2 – 4ac) ––––––––––––––– x= 2a (02) WMP/Jun14/4365/1H Do not write outside the box 3 Answer all questions in the spaces
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c++ 1. (10 points) Consider the usual algorithm to convert a fully parenthesized infix expression to a postfix expression. Suppose that you have read 10 input characters during a conversion and that the stack now contains these symbols: | | | + | | ( | bottom |___*___| Now‚ suppose that you read and process the 11th symbol of the input. Draw the stack for the case where the 11th symbol is:
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Business Decisions Page 475 # 20 A‚ B‚ & C A – Jamie and Alice’s combined housing expense ratio is 20.6% B – Jamie & Alice’s total obligations ratio is 49.6% Total obligations ration (TOR) Total Monthly Financial Obligations (TMFO) Monthly Gross Income (MGI) TMFO = $2811+$2002=$4813 C – Jamie and Alice would not qualify for a conventional nor an FHA mortgage. Page 585 #33 – Replacing the Asset A‚B‚C‚ & D A – The annual depreciation for the original
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1. Solve a. e^.05t = 1600 0.05t = ln(1600) 0.05t = 7.378 t = 7.378/.05 t = 147.56 b. ln(4x)=3 4x = e^3 x = e^3/4 x = 5.02 c. log2(8 – 6x) = 5 8-6x = 2^5 8-6x = 32 6x = 8-32 x = -24/6 x = -4 d. 4 + 5e-x = 0 5e^(-x) = -4 e^(-x) = -4/5 no solution‚ e cannot have a negative answer 2. Describe the transformations on the following graph of f (x) log( x) . State the placement of the vertical asymptote and x-intercept after the transformation. For example‚ vertical shift
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STAMFORD UNIVERSITY Course: Advanced Quantitative Technique Code: MAT-520 Fall-2013 MBA ID NAME Part-I Part-II Ques. No. Ans. at Page Ques. No. Ans. at Page 1 6 2 7 3 8 4 9 5 10 1. Write down a short Essay on Operation Research/ Linear Programming which includes the following: Definition‚ Characteristics‚ Classification‚ Necessity‚ Scope/Application and Limitation.
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Write your name here Surname Other names Centre Number Candidate Number Edexcel GCSE Mathematics A Paper 2 (Calculator) Foundation Tier Thursday 8 November 2012 – Afternoon Time: 1 hour 45 minutes Paper Reference 1MA0/2F You must have: Ruler graduated in centimetres and millimetres‚ protractor‚ pair of compasses‚ pen‚ HB pencil‚ eraser‚ calculator. Tracing paper may be used. Total Marks Instructions Use black ink or ball-point pen. Fill in the boxes at the
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THE IMPORTANCE OF MATHEMATICS W. T. Gowers It is with some disbelief that I stand here and prepare to address this gathering on the subject of the importance of mathematics. For a start‚ it is an extraordinary honour to be invited to give the keynote address at a millennium meeting in Paris. Secondly‚ giving a lecture on the significance of mathematics demands wisdom‚ judgment and maturity‚ and there are many mathematicians far better endowed than I am with these qualities‚ including several
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