I calculate the unemployment rate as (In Labor Force Employed)/In Labor Force


 Conrad Summers
 4 years ago
 Views:
Transcription
1 Introduction to the Prctice of Sttistics Fifth Edition Moore, McCbe Section 4.5 Homework Answers to 98, 99, 100,102, 103,105, 107, 109,110, 111, 112, 113 Working. In the lnguge of government sttistics, you re "in the lbor force" if you re vilble for work nd either working or ctively seeking work. The unemployment rte is the proportion of the lbor force (not of the entire popultion) who re unemployed. The tble is for people ged 25 yers or older. The tble is in thousnds of people find the unemployment rte for people with ech level of eduction. How does the unemployment rte chnge with eduction? Explin crefully why your results show tht level of eduction nd being employed re not independent. Highest Eduction Totl Popultion In Lbor Force Employed Did not finish high school 28,021 12,623 11,552 High School but no college 59,844 38,210 36,249 Less thn bchelors degree 46,777 33,928 32,429 College Grdute 51,568 40,414 39,250 Totl 186, , ,480 I clculte the unemployment rte s (In Lbor Force Employed)/In Lbor Force Unemployment Highest Eduction In Lbor Force Employed Rte Employed Rte Did not finish high school 12,623 11, High School but no college 38,210 36, Less thn bchelors degree 33,928 32, College Grdute 40,414 39, Totl 125, , Notice tht the unemployment rte chnges s we look t different eduction ctegories, tht is the vlue of the unemployment rte depends on which ctegory of eduction you re considering. Thus, eduction level nd the unemployment rte re not independent.
2 Highest Eduction Totl Popultion In Lbor Force Employed Did not finish high school 28,021 12,623 11,552 High School but no college 59,844 38,210 36,249 Less thn bchelors degree 46,777 33,928 32,429 College Grdute 51,568 40,414 39,250 Totl 186, , , () Wht is the probbility tht rndomly chosen person 25 yers of ge or older is in the lbor force? P(in lbor force) = 125, , (b) If you know tht the person chosen is college grdute, wht is the conditionl probbility tht he or she is in the lbor force? P(in lbor force college grdute) = (c) Are the events "in the lbor force" nd "college grdute" independent? How do you know? t No, since P(in lbor force college grdute) P(in lbor force); see pge 322.
3 4.100 You know tht person is employed. Wht is the conditionl probbility tht he or she is college grdute? You know tht second person is college grdute. Wht is the conditionl probbility tht he or she is employed? P(college grdute employed) = =.3285 P(employed college grdute) = = This is the nswer if you only consider college grdutes tht re ctegorized in being in the lbor force. P(employed college grdute) = = This is the nswer if you consider the entire popultion of college grdutes The probbility tht rndomly chosen student t the University of New Hrmony is womn is 0.6. The probbility tht the student is studying eduction is The conditionl probbility tht the student is womn, given tht the student is studying eduction, is 0.8. Wht is the conditionl probbility tht the student is studying eduction, given tht she is womn? P(womn) = 0.6, P(study eduction) = P(womn study eduction) = 0.8. P(study eduction womn) =? Notice tht the probbility we wnt is the opposite of the conditionl probbility given. This would normlly signl for me to crete tree digrm, but, when I tried I relize there is informtion tht is missing not llowing me to finish the tree. So, next I look to see if formul will show me the wy. Here is the formul for the conditionl probbility P(A B) = P(A nd B) P(B) this trnsfers to P(study eduction womn) = = P(study eduction AND womn) P(womn) P(study eduction)p(womn study eduction) P(womn) = (0.15)(0.8) 0.6
4 4.103 As explined in Exercise 4.60 (pge 305), spelling errors in text cn be either nonword errors or word errors. Nonword errors mke up 25% of ll errors. A humn proofreder will ctch 90% of nonword errors nd 70% of word errors. Wht percent of ll errors will the proofreder ctch? (Drw tree digrm to orgnize the informtion given.) P(nonword) = 0.25, P(ctch nonword) = 0.9 P(ctch word) = Question: P(ctch) P(ctch) = 0.25(0.9) (0.7) = nonword word ctch not ctch ctch not ctch The voters in lrge city re 40% white, 40% blck, nd 20% Hispnic. (Hispnics my be of ny rce in officil sttistics, but in this cse we re speking of politicl blocks.) A blck myorl cndidte nticiptes ttrcting 30% of the white vote, 90% of the blck vote, nd 50% of the Hispnic vote. Drw tree digrm with probbilities for the rce (white, blck, or Hispnic) nd vote (for or ginst the cndidte) of rndomly chosen voter. Wht percent of the overll vote does the cndidte expect to get? P(white ) = 0.4, P(blck) = 0.4, P(Hispnic) = 0.2 P(get vote white) = 0.3, P(get vote blck) = 0.9, P(get vote Hispnic) = 0.5 The question is P(get vote) =? P(get vote) = 0.4(0.3) + 0.4(0.9) + 0.2(0.5) = 0.58
5 4.105 At selfservice gs sttion, 40% of the customers pump regulr gs, 35% pump midgrde, nd 25% pump premium gs. Of those who pump regulr, 30% py t lest $20. Of those who pump midgrde, 50% py t lest $20. And of those who pump premium, 60% py t lest '$20. Wht is the probbility tht the next customer pys t lest $20? P(regulr) = 0.4, P(midgrde) = 0.35, P(premium) = P(py $20 regulr) = 0.3 P(py $20 midgrde) = 0.5 P(py $20 premium) = 0.6 The question is P(py $20) =? regulr mid py $20 py < $20 py $20 py < $ P(py $20) = 0.4(0.3) (0.5) (0.6) = prem 0.6 py $ In the setting of Exercise 4.105, wht percent of customers, who py t lest $20, pump premium? (Write this s conditionl probbility.) P(pump premium py $20) = 0.25(0.6) 0.4(0.3) (0.5) (0.6) = Albinism. People with lbinism hve little pigment in their skin, hir, nd eyes. The gene tht governs lbinism hs two forms (clled lleles), which we denote by nd A. Ech person hs pir of these genes, one inherited from ech prent. A child inherits one of ech prent's two lleles, independently with probbility 0.5. Albinism is recessive trit, so person is lbino only if the inherited pir is () Beth's prents re not lbino but she hs n lbino brother. This implies tht both of Beth's prents hve type A. Why? Becuse if Beth s prents re not lbino, but she hs n lbino brother (), then ech prent must hve the llele.
6 (b) Which of the types, A, AA could child of Beth's prents hve? Wht is the probbility of ech type? Since ech type is eqully likely, nd ech is inherited independently of ech other then A P(AA) = 0.5(0.5) = ¼, P(A) = (0.5)(0.5) + (0.5)(0.5) = ½, nd P() = ¼. A A AA A (c) Beth is not lbino. Wht re the conditionl probbilities for Beth's possible genetic types, given this fct? (Use the definition of conditionl probbility.) Notice tht we cn rule out, since Beth is not n Albino. So hving ruled out tht possibility the new probbilities re: P(AA not ) = 1/3. P(A not ) = 2/3. A A AA A A Albinism, continued. Beth knows the probbilities for her genetic types from prt (c) of the previous exercise. She mrries Bob, who is lbino. Bob's genetic type must be. () Wht is the conditionl probbility tht child of Beth nd Bob is nonlbino if Beth hs type A? Wht is the conditionl probbility of nonlbino child if Beth hs type AA? ' BOB BOB Beth A A A Beth A A A A A A P(no child Beth A) = 1/2 P(no child Beth AA) = 1 (b) Beth nd Bob's first child is nonlbino. Wht is the conditionl probbility tht Beth is crrier, type A? I used the informtion from problem 109c to help me nswer this question. Wht I hd to relize determine ws the strting point, which turned out to be Beth s possible genetic mkeup. How did I now this? Becuse prt (), of this problem, delt with the chnces of Bob nd Beth hving n lbino child, depending (given) on the ssumed genetic mke up of Beth. I relized tht the problem, mteril ws llowing me to crete the second brnch of the tree. The question then is P(Beth A no child), the grph is below, nd then I used it to nswer the question by reding the tree. 1/2 A 2/3 1/2 No 1/3 AA 0 1 No
7 P(Beth A no child) = () 1 = Cystic fibrosis. Cystic fibrosis is lung disorder tht often results in deth. It is inherited but cn be inherited only if both prents re crriers of n bnorml gene. In 1989, the CF gene tht is bnorml in crriers of cystic fibrosis ws identified. The probbility tht rndomly chosen person of Europen ncestry crries n bnorml CF gene is 1/25. (The probbility is less in other ethnic groups) The CF20m test detects most but not ll hrmful muttions of the CF gene. The test is positive for 90% of people who re crriers. It is (ignoring humn error) never positive for people who re not crriers. Json tests positive. Wht is the probbility tht he is crrier? P(crries gene) = 1/25 Note tht I m ssuming from this point on tht we re only considering someone from Europen ncestry. 0.9 pos crry gene P(positive test crries gene) = 0.9 1/ neg P(positive test NOT crries gene) = 0 P(crries gene positive test) =? 24/25 /3 Not cg 0 1 neg pos You cn logiclly see tht the nswer is 1, since the test is never positive if you re crrier. Creting tree digrm will llow you to see this s well. P(crries gene positive test) = 1 ( 0.9) ( 0.9 ) + (0) = Cystic fibrosis, continued. Json knows tht he is crrier of cystic fibrosis. His wife, Julinne, hs brother with cystic fibrosis, which mens the probbility is 2/3 tht she is crrier. If Julinne is crrier, ech child she hs with Json hs probbility ¼ of hving cystic fibrosis. Is she is not crrier, her children cn not hve the disese. Json nd Julinne hve one child, who does not hve cystic fibrosis. This informtion reduces the probbility tht Julinne is crrier; given tht she nd Json hve one child who does not hve cystic fibrosis. This problem involves Julinne which my crry the gene for Cystic Fibrosis. The known fcts re tht her husbnd Json is crrier, her brother is lso crrier, nd tht they hve one child who does not hve the cystic fibrosis. P(crry gene) = 2/3 P(cystic F. crry gene) = ¼, P(cystic F. not crry gene) = 0
8 The question is given tht their child does not hve cystic fibrosis, wht is she is still crrier? P(crry gene not cystic F.) = () = Musculr dystrophy. Musculr dystrophy is n incurble musclewsting disese. The most common nd serious type, clled DMD, is cused by sexlinked recessive muttion. Specificlly: women cn be crriers but do not get the disese; son of crrier hs probbility 0.5 of hving DMD; dughter hs probbility 0.5 of being crrier. As mny s 1/3 of DMD cses, however, re due to spontneous muttions in sons of mothers who re not crriers. Toni hs one son, who hs DMD In the bsence of other informtion, the probbility is 1/3 tht the son is the victim of spontneous muttion nd 2/3 tht Toni is crrier. There is screening test clled the CK test tht is positive with probbility 0.7 if womn is crrier nd with probbility 0.1 if she is not. Toni s CK test is positive. Wht is the probbility tht she is crrier? P(son hs DMD mom crrier) = 0.5 P(dughter crrier of DMD mom crrier) = 0.5 P(son hs DMD mom not crrier) = Toni hs one son who hs DMD P(CK test positive mom is crrier) = 0.7 P(CK test is positive mom not crrier) = 0.1 P(Toni crrier test positive) =? After I wrote ll this down, nd I begn constructing the tree, I relized tht I did not need much of the informtion tht ws given. P(Toni crrier test positive) = 2 ( 0.7 ) (0.7) ( ) =
Introduction to the Practice of Statistics Sixth Edition Moore, McCabe Section 4.5 Homework Answers
Introduction to the Practice of Statistics Sixth Edition Moore, McCabe Section 4.5 Homework Answers 4.103 Attendance at 2 year and 4 year colleges. In a large national population of college students, 61%
More informationUnit 29: Inference for TwoWay Tables
Unit 29: Inference for TwoWy Tbles Prerequisites Unit 13, TwoWy Tbles is prerequisite for this unit. In ddition, students need some bckground in significnce tests, which ws introduced in Unit 25. Additionl
More informationEcon 4721 Money and Banking Problem Set 2 Answer Key
Econ 472 Money nd Bnking Problem Set 2 Answer Key Problem (35 points) Consider n overlpping genertions model in which consumers live for two periods. The number of people born in ech genertion grows in
More informationAP STATISTICS SUMMER MATH PACKET
AP STATISTICS SUMMER MATH PACKET This pcket is review of Algebr I, Algebr II, nd bsic probbility/counting. The problems re designed to help you review topics tht re importnt to your success in the clss.
More informationPolynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )
Polynomil Functions Polynomil functions in one vrible cn be written in expnded form s n n 1 n 2 2 f x = x + x + x + + x + x+ n n 1 n 2 2 1 0 Exmples of polynomils in expnded form re nd 3 8 7 4 = 5 4 +
More informationbaby on the way, quit today
for mumstobe bby on the wy, quit tody WHAT YOU NEED TO KNOW bout smoking nd pregnncy uitting smoking is the best thing you cn do for your bby We know tht it cn be difficult to quit smoking. But we lso
More informationMathematics. Vectors. hsn.uk.net. Higher. Contents. Vectors 128 HSN23100
hsn.uk.net Higher Mthemtics UNIT 3 OUTCOME 1 Vectors Contents Vectors 18 1 Vectors nd Sclrs 18 Components 18 3 Mgnitude 130 4 Equl Vectors 131 5 Addition nd Subtrction of Vectors 13 6 Multipliction by
More informationReasoning to Solve Equations and Inequalities
Lesson4 Resoning to Solve Equtions nd Inequlities In erlier work in this unit, you modeled situtions with severl vriles nd equtions. For exmple, suppose you were given usiness plns for concert showing
More informationHomework 3 Solutions
CS 341: Foundtions of Computer Science II Prof. Mrvin Nkym Homework 3 Solutions 1. Give NFAs with the specified numer of sttes recognizing ech of the following lnguges. In ll cses, the lphet is Σ = {,1}.
More informationLecture 3 Gaussian Probability Distribution
Lecture 3 Gussin Probbility Distribution Introduction l Gussin probbility distribution is perhps the most used distribution in ll of science. u lso clled bell shped curve or norml distribution l Unlike
More informationExperiment 6: Friction
Experiment 6: Friction In previous lbs we studied Newton s lws in n idel setting, tht is, one where friction nd ir resistnce were ignored. However, from our everydy experience with motion, we know tht
More informationHelicopter Theme and Variations
Helicopter Theme nd Vritions Or, Some Experimentl Designs Employing Pper Helicopters Some possible explntory vribles re: Who drops the helicopter The length of the rotor bldes The height from which the
More informationBayesian Updating with Continuous Priors Class 13, 18.05, Spring 2014 Jeremy Orloff and Jonathan Bloom
Byesin Updting with Continuous Priors Clss 3, 8.05, Spring 04 Jeremy Orloff nd Jonthn Bloom Lerning Gols. Understnd prmeterized fmily of distriutions s representing continuous rnge of hypotheses for the
More informationDlNBVRGH + Sickness Absence Monitoring Report. Executive of the Council. Purpose of report
DlNBVRGH + + THE CITY OF EDINBURGH COUNCIL Sickness Absence Monitoring Report Executive of the Council 8fh My 4 I.I...3 Purpose of report This report quntifies the mount of working time lost s result of
More informationTreatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3.
The nlysis of vrince (ANOVA) Although the ttest is one of the most commonly used sttisticl hypothesis tests, it hs limittions. The mjor limittion is tht the ttest cn be used to compre the mens of only
More informationHealth insurance marketplace What to expect in 2014
Helth insurnce mrketplce Wht to expect in 2014 33096VAEENBVA 06/13 The bsics of the mrketplce As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum
More informationPhysics 43 Homework Set 9 Chapter 40 Key
Physics 43 Homework Set 9 Chpter 4 Key. The wve function for n electron tht is confined to x nm is. Find the normliztion constnt. b. Wht is the probbility of finding the electron in. nmwide region t x
More informationExample 27.1 Draw a Venn diagram to show the relationship between counting numbers, whole numbers, integers, and rational numbers.
2 Rtionl Numbers Integers such s 5 were importnt when solving the eqution x+5 = 0. In similr wy, frctions re importnt for solving equtions like 2x = 1. Wht bout equtions like 2x + 1 = 0? Equtions of this
More informationVendor Rating for Service Desk Selection
Vendor Presented By DATE Using the scores of 0, 1, 2, or 3, plese rte the vendor's presenttion on how well they demonstrted the functionl requirements in the res below. Also consider how efficient nd functionl
More informationVectors 2. 1. Recap of vectors
Vectors 2. Recp of vectors Vectors re directed line segments  they cn be represented in component form or by direction nd mgnitude. We cn use trigonometry nd Pythgors theorem to switch between the forms
More informationUse Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions.
Lerning Objectives Loci nd Conics Lesson 3: The Ellipse Level: Preclculus Time required: 120 minutes In this lesson, students will generlize their knowledge of the circle to the ellipse. The prmetric nd
More informationActive & Retiree Plan: Trustees of the Milwaukee Roofers Health Fund Coverage Period: 06/01/201505/31/2016 Summary of Benefits and Coverage:
Summry of Benefits nd Coverge: Wht this Pln Covers & Wht it Costs Coverge for: Single & Fmily Pln Type: NPOS This is only summry. If you wnt more detil bout your coverge nd costs, you cn get the complete
More informationa GAO03568 GAO COLLEGE COMPLETION Additional Efforts Could Help Education with Its Completion Goals Report to Congressional Requesters
GAO United Sttes Generl Accounting Office Report to Congressionl Requesters My 2003 COLLEGE COMPLETION Additionl Efforts Could Help Eduction with Its Completion Gols GAO03568 My 2003 COLLEGE COMPLETION
More informationGraphs on Logarithmic and Semilogarithmic Paper
0CH_PHClter_TMSETE_ 3//00 :3 PM Pge Grphs on Logrithmic nd Semilogrithmic Pper OBJECTIVES When ou hve completed this chpter, ou should be ble to: Mke grphs on logrithmic nd semilogrithmic pper. Grph empiricl
More informationBinary Representation of Numbers Autar Kaw
Binry Representtion of Numbers Autr Kw After reding this chpter, you should be ble to: 1. convert bse rel number to its binry representtion,. convert binry number to n equivlent bse number. In everydy
More informationOperations with Polynomials
38 Chpter P Prerequisites P.4 Opertions with Polynomils Wht you should lern: Write polynomils in stndrd form nd identify the leding coefficients nd degrees of polynomils Add nd subtrct polynomils Multiply
More informationUnderstanding Life Cycle Costs How a Northern Pump Saves You Money
Understnding Life Cycle Costs How Nrn Pump Sves You Money Reference: Hydrulic Institute (www.s.g) Introduction Wht Life Cycle Cost (LCC) Clculting Totl LCC LCC Components Wht Life Cycle Cost Life Cycle
More informationHealth insurance exchanges What to expect in 2014
Helth insurnce exchnges Wht to expect in 2014 33096CAEENABC 02/13 The bsics of exchnges As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum mount
More informationDistributions. (corresponding to the cumulative distribution function for the discrete case).
Distributions Recll tht n integrble function f : R [,] such tht R f()d = is clled probbility density function (pdf). The distribution function for the pdf is given by F() = (corresponding to the cumultive
More informationData replication in mobile computing
Technicl Report, My 2010 Dt repliction in mobile computing Bchelor s Thesis in Electricl Engineering Rodrigo Christovm Pmplon HALMSTAD UNIVERSITY, IDE SCHOOL OF INFORMATION SCIENCE, COMPUTER AND ELECTRICAL
More informationHumana Critical Illness/Cancer
Humn Criticl Illness/Cncer Criticl illness/cncer voluntry coverges py benefits however you wnt With our criticl illness nd cncer plns, you'll receive benefit fter serious illness or condition such s hert
More informationFAULT TREES AND RELIABILITY BLOCK DIAGRAMS. Harry G. Kwatny. Department of Mechanical Engineering & Mechanics Drexel University
SYSTEM FAULT AND Hrry G. Kwtny Deprtment of Mechnicl Engineering & Mechnics Drexel University OUTLINE SYSTEM RBD Definition RBDs nd Fult Trees System Structure Structure Functions Pths nd Cutsets Reliility
More informationModule 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur
Module Anlysis of Stticlly Indeterminte Structures by the Mtrix Force Method Version CE IIT, Khrgpur esson 9 The Force Method of Anlysis: Bems (Continued) Version CE IIT, Khrgpur Instructionl Objectives
More informationHuman Pedigrees. Independent Assortment. Mendel s Second Law. Independent Assortment Test Cross. 4 phenotypes. Pedigree analysis:
Biology 2250 rinciples of Genetics nnouncements B2250 edings nd roblems Lb 3 Informtion: B2250 (Innes) webpge downlod nd print before lb. Virtul fly: log in nd prctice http://biologylb.wlonline.com/ Ch.
More informationAppendix D: Completing the Square and the Quadratic Formula. In Appendix A, two special cases of expanding brackets were considered:
Appendi D: Completing the Squre nd the Qudrtic Formul Fctoring qudrtic epressions such s: + 6 + 8 ws one of the topics introduced in Appendi C. Fctoring qudrtic epressions is useful skill tht cn help you
More informationFactoring Polynomials
Fctoring Polynomils Some definitions (not necessrily ll for secondry school mthemtics): A polynomil is the sum of one or more terms, in which ech term consists of product of constnt nd one or more vribles
More informationRotating DC Motors Part II
Rotting Motors rt II II.1 Motor Equivlent Circuit The next step in our consiertion of motors is to evelop n equivlent circuit which cn be use to better unerstn motor opertion. The rmtures in rel motors
More information2015 EDITION. AVMA Report on Veterinary Compensation
2015 EDITION AVMA Report on Veterinry Compenstion AVMA Report on Veterinry Compenstion 2015 EDITION Copyright 2015 by the All rights reserved. ISBN13: 9781882691319 AVMA Report on Veterinry Compenstion
More informationSmall Businesses Decisions to Offer Health Insurance to Employees
Smll Businesses Decisions to Offer Helth Insurnce to Employees Ctherine McLughlin nd Adm Swinurn, June 2014 Employersponsored helth insurnce (ESI) is the dominnt source of coverge for nonelderly dults
More informationIntegration by Substitution
Integrtion by Substitution Dr. Philippe B. Lvl Kennesw Stte University August, 8 Abstrct This hndout contins mteril on very importnt integrtion method clled integrtion by substitution. Substitution is
More information9 CONTINUOUS DISTRIBUTIONS
9 CONTINUOUS DISTIBUTIONS A rndom vrible whose vlue my fll nywhere in rnge of vlues is continuous rndom vrible nd will be ssocited with some continuous distribution. Continuous distributions re to discrete
More informationPHY 222 Lab 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS
PHY 222 Lb 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS Nme: Prtners: INTRODUCTION Before coming to lb, plese red this pcket nd do the prelb on pge 13 of this hndout. From previous experiments,
More informationWarmup for Differential Calculus
Summer Assignment Wrmup for Differentil Clculus Who should complete this pcket? Students who hve completed Functions or Honors Functions nd will be tking Differentil Clculus in the fll of 015. Due Dte:
More informationAnthem Blue Cross Life and Health Insurance Company University of Southern California Custom Premier PPO 800/20%/20%
Anthem Blue Cross Life nd Helth Insurnce Compny University of Southern Cliforni Custom Premier 800/20%/20% Summry of Benefits nd Coverge: Wht this Pln Covers & Wht it Costs Coverge Period: 01/01/201512/31/2015
More informationUnit 6: Exponents and Radicals
Eponents nd Rdicls : The Rel Numer Sstem Unit : Eponents nd Rdicls Pure Mth 0 Notes Nturl Numers (N):  counting numers. {,,,,, } Whole Numers (W):  counting numers with 0. {0,,,,,, } Integers (I): 
More informationMATH 150 HOMEWORK 4 SOLUTIONS
MATH 150 HOMEWORK 4 SOLUTIONS Section 1.8 Show tht the product of two of the numbers 65 1000 8 2001 + 3 177, 79 1212 9 2399 + 2 2001, nd 24 4493 5 8192 + 7 1777 is nonnegtive. Is your proof constructive
More informationEQUATIONS OF LINES AND PLANES
EQUATIONS OF LINES AND PLANES MATH 195, SECTION 59 (VIPUL NAIK) Corresponding mteril in the ook: Section 12.5. Wht students should definitely get: Prmetric eqution of line given in pointdirection nd twopoint
More informationOr more simply put, when adding or subtracting quantities, their uncertainties add.
Propgtion of Uncertint through Mthemticl Opertions Since the untit of interest in n eperiment is rrel otined mesuring tht untit directl, we must understnd how error propgtes when mthemticl opertions re
More informationQuick Reference Guide: Onetime Account Update
Quick Reference Guide: Onetime Account Updte How to complete The Quick Reference Guide shows wht existing SingPss users need to do when logging in to the enhnced SingPss service for the first time. 1)
More informationCS99S Laboratory 2 Preparation Copyright W. J. Dally 2001 October 1, 2001
CS99S Lortory 2 Preprtion Copyright W. J. Dlly 2 Octoer, 2 Ojectives:. Understnd the principle of sttic CMOS gte circuits 2. Build simple logic gtes from MOS trnsistors 3. Evlute these gtes to oserve logic
More information9.3. The Scalar Product. Introduction. Prerequisites. Learning Outcomes
The Sclr Product 9.3 Introduction There re two kinds of multipliction involving vectors. The first is known s the sclr product or dot product. This is soclled becuse when the sclr product of two vectors
More informationP.3 Polynomials and Factoring. P.3 an 1. Polynomial STUDY TIP. Example 1 Writing Polynomials in Standard Form. What you should learn
33337_0P03.qp 2/27/06 24 9:3 AM Chpter P Pge 24 Prerequisites P.3 Polynomils nd Fctoring Wht you should lern Polynomils An lgeric epression is collection of vriles nd rel numers. The most common type of
More informationRecognition Scheme Forensic Science Content Within Educational Programmes
Recognition Scheme Forensic Science Content Within Eductionl Progrmmes one Introduction The Chrtered Society of Forensic Sciences (CSoFS) hs been ccrediting the forensic content of full degree courses
More informationRoudmup for Los Angeles Pierce College ADIV Program ancl csu Dominguez Hilk RltB^sr/ progrum
Roudmup for Los Angeles Pierce College ADIV Progrm ncl csu Dominguez Hilk RltB^sr/ progrum Admission Requirements for Los Angeles pierce (LApC) LAPC hs foursemester Associte Degree in Nursing (ADN) Progrm.
More information2 DIODE CLIPPING and CLAMPING CIRCUITS
2 DIODE CLIPPING nd CLAMPING CIRCUITS 2.1 Ojectives Understnding the operting principle of diode clipping circuit Understnding the operting principle of clmping circuit Understnding the wveform chnge of
More informationGuide to Reading Your Morgan Stanley Smith Barney Statement
Guide to Reding Your Morgn Stnley Smith Brney Sttement Your Morgn Stnley Smith Brney ( MSSB ) ccount sttement is vluble nd, powerful resource tht provides you with the informtion you need to prtner with
More informationExample A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding
1 Exmple A rectngulr box without lid is to be mde from squre crdbord of sides 18 cm by cutting equl squres from ech corner nd then folding up the sides. 1 Exmple A rectngulr box without lid is to be mde
More informationBasic Analysis of Autarky and Free Trade Models
Bsic Anlysis of Autrky nd Free Trde Models AUTARKY Autrky condition in prticulr commodity mrket refers to sitution in which country does not engge in ny trde in tht commodity with other countries. Consequently
More informationSection 5.2, Commands for Configuring ISDN Protocols. Section 5.3, Configuring ISDN Signaling. Section 5.4, Configuring ISDN LAPD and Call Control
Chpter 5 Configurtion of ISDN Protocols This chpter provides instructions for configuring the ISDN protocols in the SP201 for signling conversion. Use the sections tht reflect the softwre you re configuring.
More informationSection 74 Translation of Axes
62 7 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY Section 74 Trnsltion of Aes Trnsltion of Aes Stndrd Equtions of Trnslted Conics Grphing Equtions of the Form A 2 C 2 D E F 0 Finding Equtions of Conics In the
More informationHealth insurance exchanges What to expect in 2014
Helth insurnce exchnges Wht to expect in 2014 33096CAEENABC 11/12 The bsics of exchnges As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum mount
More informationUtilization of Smoking Cessation Benefits in Medicaid Managed Care, 20092013
Utiliztion of Smoking Cesstion Benefits in Medicid Mnged Cre, 20092013 Office of Qulity nd Ptient Sfety New York Stte Deprtment of Helth Jnury 2015 Introduction According to the New York Stte Tocco Control
More informationSmall Business Networking
Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd processes. Introducing technology
More information15.6. The mean value and the rootmeansquare value of a function. Introduction. Prerequisites. Learning Outcomes. Learning Style
The men vlue nd the rootmensqure vlue of function 5.6 Introduction Currents nd voltges often vry with time nd engineers my wish to know the verge vlue of such current or voltge over some prticulr time
More informationffiiii::#;#ltlti.*?*:j,'i#,rffi
5..1 EXPEDTNG A PROJECT. 187 700 6 o 'o' 600 E 500 17 18 19 20 Project durtion (dys) Figure 66 Project cost vs. project durtion for smple crsh problem. Using Excel@ to Crsh Project T" llt ffiiii::#;#ltlti.*?*:j,'i#,rffi
More informationHow To Study The Effects Of Music Composition On Children
Ccrcs Cognitive  Counselling Reserch & Conference Services (eissn: 23012358) Volume I Effects of Music Composition Intervention on Elementry School Children b M. Hogenes, B. Vn Oers, R. F. W. Diekstr,
More information3 The Utility Maximization Problem
3 The Utility Mxiiztion Proble We hve now discussed how to describe preferences in ters of utility functions nd how to forulte siple budget sets. The rtionl choice ssuption, tht consuers pick the best
More informationMath 135 Circles and Completing the Square Examples
Mth 135 Circles nd Completing the Squre Exmples A perfect squre is number such tht = b 2 for some rel number b. Some exmples of perfect squres re 4 = 2 2, 16 = 4 2, 169 = 13 2. We wish to hve method for
More informationLumpSum Distributions at Job Change, p. 2
Jnury 2009 Vol. 30, No. 1 LumpSum Distributions t Job Chnge, p. 2 E X E C U T I V E S U M M A R Y LumpSum Distributions t Job Chnge GROWING NUMBER OF WORKERS FACED WITH ASSET DECISIONS AT JOB CHANGE:
More information2. Transaction Cost Economics
3 2. Trnsction Cost Economics Trnsctions Trnsctions Cn Cn Be Be Internl Internl or or Externl Externl n n Orgniztion Orgniztion Trnsctions Trnsctions occur occur whenever whenever good good or or service
More informationModule Summary Sheets. C3, Methods for Advanced Mathematics (Version B reference to new book) Topic 2: Natural Logarithms and Exponentials
MEI Mthemtics in Ection nd Instry Topic : Proof MEI Structured Mthemtics Mole Summry Sheets C, Methods for Anced Mthemtics (Version B reference to new book) Topic : Nturl Logrithms nd Eponentils Topic
More informationThe Economic Footprint of Michigan s Fifteen Public Universities
December 10, 2013 The Economic Footprint of Michign s Fifteen Public Universities Prepred by: Json Horwitz Smnth Superstine Commissioned by: Presidents Council, Stte Universities of Michign Anderson Economic
More information5.2. LINE INTEGRALS 265. Let us quickly review the kind of integrals we have studied so far before we introduce a new one.
5.2. LINE INTEGRALS 265 5.2 Line Integrls 5.2.1 Introduction Let us quickly review the kind of integrls we hve studied so fr before we introduce new one. 1. Definite integrl. Given continuous relvlued
More informationFDIC Study of Bank Overdraft Programs
FDIC Study of Bnk Overdrft Progrms Federl Deposit Insurnce Corportion November 2008 Executive Summry In 2006, the Federl Deposit Insurnce Corportion (FDIC) initited twoprt study to gther empiricl dt on
More informationTwo hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE. Date: Friday 16 th May 2008. Time: 14:00 16:00
COMP20212 Two hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE Digitl Design Techniques Dte: Fridy 16 th My 2008 Time: 14:00 16:00 Plese nswer ny THREE Questions from the FOUR questions provided
More informationtrademark and symbol guidelines FOR CORPORATE STATIONARY APPLICATIONS reviewed 01.02.2007
trdemrk nd symbol guidelines trdemrk guidelines The trdemrk Cn be plced in either of the two usul configurtions but horizontl usge is preferble. Wherever possible the trdemrk should be plced on blck bckground.
More informationIntegration. 148 Chapter 7 Integration
48 Chpter 7 Integrtion 7 Integrtion t ech, by supposing tht during ech tenth of second the object is going t constnt speed Since the object initilly hs speed, we gin suppose it mintins this speed, but
More informationSmall Business Networking
Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd business. Introducing technology
More informationCypress Creek High School IB Physics SL/AP Physics B 2012 2013 MP2 Test 1 Newton s Laws. Name: SOLUTIONS Date: Period:
Nme: SOLUTIONS Dte: Period: Directions: Solve ny 5 problems. You my ttempt dditionl problems for extr credit. 1. Two blocks re sliding to the right cross horizontl surfce, s the drwing shows. In Cse A
More informationc. Values in statements are broken down by fiscal years; many projects are
Lecture 18: Finncil Mngement (Continued)/Csh Flow CEE 498 Construction Project Mngement L Schedules A. Schedule.of Contrcts Completed See Attchment # 1 ll. 1. Revenues Erned 2. Cost of Revenues 3. Gross
More informationAntiSpyware Enterprise Module 8.5
AntiSpywre Enterprise Module 8.5 Product Guide Aout the AntiSpywre Enterprise Module The McAfee AntiSpywre Enterprise Module 8.5 is n ddon to the VirusScn Enterprise 8.5i product tht extends its ility
More informationA National Look at the High School Counseling Office
A Ntionl Look t the High School Counseling Office Wht Is It Doing nd Wht Role Cn It Ply in Fcilitting Students Pths to College? by Alexndri Wlton Rdford, Nicole Ifill, nd Terry Lew Introduction Between
More informationCOMPARISON OF SOME METHODS TO FIT A MULTIPLICATIVE TARIFF STRUCTURE TO OBSERVED RISK DATA BY B. AJNE. Skandza, Stockholm ABSTRACT
COMPARISON OF SOME METHODS TO FIT A MULTIPLICATIVE TARIFF STRUCTURE TO OBSERVED RISK DATA BY B. AJNE Skndz, Stockholm ABSTRACT Three methods for fitting multiplictive models to observed, crossclssified
More informationHow To Network A Smll Business
Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd processes. Introducing technology
More information6.2 Volumes of Revolution: The Disk Method
mth ppliction: volumes of revolution, prt ii Volumes of Revolution: The Disk Method One of the simplest pplictions of integrtion (Theorem ) nd the ccumultion process is to determine soclled volumes of
More informationHow To Find Out How A Worker'S Work Ethic Is Related To The Ability To Get A Job
RtSWD Reserch Notes Reserch Note No. 11 Previously relesed s RtSWD Working Pper No. 15 Popultion Aging nd Trends in the Provision of Continued Eduction Regin T. Riphhn, Prvti Trübswetter 2007 Reserch Notes
More informationAnswer, Key Homework 10 David McIntyre 1
Answer, Key Homework 10 Dvid McIntyre 1 This printout should hve 22 questions, check tht it is complete. Multiplechoice questions my continue on the next column or pge: find ll choices efore mking your
More informationLINEAR TRANSFORMATIONS AND THEIR REPRESENTING MATRICES
LINEAR TRANSFORMATIONS AND THEIR REPRESENTING MATRICES DAVID WEBB CONTENTS Liner trnsformtions 2 The representing mtrix of liner trnsformtion 3 3 An ppliction: reflections in the plne 6 4 The lgebr of
More informationHow To Find Out What A Librry Is Like
Survey of Web Developers in Acdemic Librries by Ruth Sr Connell Avilble online 8 Februry 2008 A survey ws sent to librry Web designers from rndomly selected institutions to determine the bckground, tools,
More informationWhy is the NSW prison population falling?
NSW Bureu of Crime Sttistics nd Reserch Bureu Brief Issue pper no. 80 September 2012 Why is the NSW prison popultion flling? Jcqueline Fitzgerld & Simon Corben 1 Aim: After stedily incresing for more thn
More informationClearPeaks Customer Care Guide. Business as Usual (BaU) Services Peace of mind for your BI Investment
ClerPeks Customer Cre Guide Business s Usul (BU) Services Pece of mind for your BI Investment ClerPeks Customer Cre Business s Usul Services Tble of Contents 1. Overview...3 Benefits of Choosing ClerPeks
More informationEngineertoEngineer Note
EngineertoEngineer Note EE265 Technicl notes on using Anlog Devices DSPs, processors nd development tools Contct our technicl support t dsp.support@nlog.com nd t dsptools.support@nlog.com Or visit our
More informationSmall Business Networking
Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd business. Introducing technology
More informationLECTURE #05. Learning Objective. To describe the geometry in and around a unit cell in terms of directions and planes.
LECTURE #05 Chpter 3: Lttice Positions, Directions nd Plnes Lerning Objective To describe the geometr in nd round unit cell in terms of directions nd plnes. 1 Relevnt Reding for this Lecture... Pges 6483.
More informationGAO HIGHER EDUCATION. Federal Science, Technology, Engineering, and Mathematics Programs and Related Trends
GAO United Sttes Government Accountbility Office Report to the Chirmn, Committee on Rules, House of Representtives October 2005 HIGHER EDUCATION Federl Science, Technology, Engineering, nd Mthemtics Progrms
More informationn Using the formula we get a confidence interval of 80±1.64
9.52 The professor of sttistics oticed tht the rks i his course re orlly distributed. He hs lso oticed tht his orig clss verge is 73% with stdrd devitio of 12% o their fil exs. His fteroo clsses verge
More information1.00/1.001 Introduction to Computers and Engineering Problem Solving Fall 2011  Final Exam
1./1.1 Introduction to Computers nd Engineering Problem Solving Fll 211  Finl Exm Nme: MIT Emil: TA: Section: You hve 3 hours to complete this exm. In ll questions, you should ssume tht ll necessry pckges
More informationand thus, they are similar. If k = 3 then the Jordan form of both matrices is
Homework ssignment 11 Section 7. pp. 24925 Exercise 1. Let N 1 nd N 2 be nilpotent mtrices over the field F. Prove tht N 1 nd N 2 re similr if nd only if they hve the sme miniml polynomil. Solution: If
More informationExponential and Logarithmic Functions
Nme Chpter Eponentil nd Logrithmic Functions Section. Eponentil Functions nd Their Grphs Objective: In this lesson ou lerned how to recognize, evlute, nd grph eponentil functions. Importnt Vocbulr Define
More informationPROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY
MAT 0630 INTERNET RESOURCES, REVIEW OF CONCEPTS AND COMMON MISTAKES PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY Contents 1. ACT Compss Prctice Tests 1 2. Common Mistkes 2 3. Distributive
More information