[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-341760-105":59,"doc-detail-341760-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","math-111-study-guide-for-the-final-exam-review-problems","Math 111 - Study Guide for the Final Exam - Review Problems","","Study guide for Math 111 final exam preparation, emphasizing solving practice problems and revisiting prior homework and earlier exams. The document lists targeted review problems by topic and chapter, including voting systems, weighted voting systems, fair division, apportionment, Euler circuits, Hamilton circuits, trees and networks, scheduling, statistical data, probability, and normal distributions. 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The document stresses that solving problems is the best way to study mathematics.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which topics and chapters are included in the review problems?",{"text":117,"@type":113},"The guide covers voting systems (Cht. 1), weighted voting systems (Cht. 2), fair division (Cht. 3), apportionment (Cht. 4), Euler circuits (Cht. 5), Hamilton circuits (Cht. 6), trees and networks (Cht. 7), scheduling (Cht. 8), statistical data (Cht. 13), probability (Cht. 15), and normal distributions (Cht. 16).",{"name":119,"@type":110,"acceptedAnswer":120},"How can students check their answers while using this guide?",{"text":121,"@type":113},"Most of the listed review problems are odd, so students can check their answers in the back of the book. The normal distributions section also specifies limited parts for specific problem numbers.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},341760,1791005263,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":81,"preview_page_count":4},2336474466712,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Math 111-Study Guide for the Final Exam  \nBe sure to review the old homeworks and exams. Here are additional problems similar to the ones that might be on the 􀀌nal exam. Remember, the best way to study mathematics is to solve problems!  \n􀀏 Voting Systems Cht. 1 \\# 13, 17, 33, 39  \n􀀏 Weighted Voting Systems Cht. 2 \\# 11, 23, 43  \n􀀏 Fair Division Cht. 3 \\# 19, 31, 41, 51  \n􀀏 Apportionment Cht. 4 \\# 1, 11, 23  \n􀀏 Euler Circuits Cht. 5 \\# 25, 33  \n􀀏 Hamilton Circuits Cht. 6 \\# 31(a), 49  \n􀀏 Trees and Networks Cht. 7 \\# 7, 19  \n􀀏 Scheduling Cht. 8 \\# 19, 45  \n􀀏 Statistical Data Cht. 13 \\# 29, 60  \n􀀏 Probability Cht. 15 \\# 9, 31, 39, 51  \n􀀏 Normal Distributions Cht. 16 \\# 15, 29, 53(a & b only), 59  \nThese review problem are almost all odd so that you can check your answers in the back of the book. I will also be available in my o􀀎ce everyday between now and the exam if you have questions.","cbCaijKuMSYlSYFY","https://ap.wps.com/l/cbCaijKuMSYlSYFY","pdf",29663,"English","# Voting Systems\n## Weighted Voting Systems\n## Fair Division\n## Apportionment\n# Euler Circuits\n# Hamilton Circuits\n# Trees and Networks\n# Scheduling\n# Statistical Data\n# Probability\n# Normal Distributions","[{\"question\":\"What should students do to prepare for the Math 111 final exam?\",\"answer\":\"Review old homeworks and exams, then solve additional problems similar to those that may appear on the final exam. The document stresses that solving problems is the best way to study mathematics.\"},{\"question\":\"Which topics and chapters are included in the review problems?\",\"answer\":\"The guide covers voting systems (Cht. 1), weighted voting systems (Cht. 2), fair division (Cht. 3), apportionment (Cht. 4), Euler circuits (Cht. 5), Hamilton circuits (Cht. 6), trees and networks (Cht. 7), scheduling (Cht. 8), statistical data (Cht. 13), probability (Cht. 15), and normal distributions (Cht. 16).\"},{\"question\":\"How can students check their answers while using this guide?\",\"answer\":\"Most of the listed review problems are odd, so students can check their answers in the back of the book. The normal distributions section also specifies limited parts for specific problem numbers.\"}]","Math 111 - Study Guide for the Final Exam - Review Problems | PDF",1790043596]