...Running Header: SOLVING PROPROTIONS 1 Solving Proportions Jane Doe MAT 222 Week 1 Instructor’s Thompson September 8, 2014 PROPORTIONS 2 Solving Proportions When doing algebra one never thinks that you could use it in real like but we do. As in finding out how many gas in a mile our car takes. In my first problem I am trying to find out how many bears there are that are not tagged. We are trying to estimate the bear population on the Keweenaw Peninsula conservation by capturing and tagging 50 bears. After one year they would get 100 bears and out of that 100 they would only have 2 bears that were tagged one year ago. For the conservationist to estimate the bear population we would have to solve the proportion. To solve this proportion I have to make a simple ratio equation. I will be using B for the new population of bears in my equation. I first start with what I know and that is there were 50 bears to start with then a year later there where 100 captured and only two of them were tagged bears. I would then write the first problem like this: B = 100 50 2 Now my problem is set up to cross multiple. I will also find that B and 2 are my extremes and the 50 and 100 are my means. Which, I now know my extremes means are. Now I will multiple 2(B) and 50(100). 2(B)=2B and 50(100)= 5000. Now I am going to divide B out. B=5000 2 Now we see that there are 2500 bears. PROPORTIONS 3 Now...
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...Solving Proportions MAT222 Week 1 Assignment September 22, 2014 Solving Proportions Solving for a proportion can be used within numerous real-world problems, such as finding the population of an area. Conservationists are able to predict the population of bear’s in their area by comparing information collected from two experiments. In this problem, 50 bears in Keweenaw Peninsula were tagged and released so conservationists could estimate the bear population. One year later, the conservationist took random samples of 100 bears from the same area, proportions are able to be used in order to determine Keweenaw Peninsula’s bear population. “To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist’s estimate of the size of the bear population (Dugolpolski, 2012)?” In order to figure the estimated population, some variables need to first be defined and explain the rules for solving proportions. The ratio of originally tagged bears to the entire population is (50/x). The ratio of recaptured tagged bears to the sample size is (2/100). 50x=2100 is how the proportion is set up and is now ready to be solved. Cross multiplication is necessary for this problem. The extremes are (100) and (50). The means are (x) and (2). 100(50)=2x New equation, and now solve for (x). 50002=2x2 Divide both...
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...Solving Proportions MAT 222 Intermediate Algebra Nalla Lorto March 24, 2013 Solving Proportions Problem 1 Bear population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist's estimate of the size of the bear population? I think using a simple ratio equation would work here, let b = bear population = cross multiply 2b = 50*100 2b=5000 divide 2 by 5000 5000 =b 2 b=2500 answer Problem 2 For the second problem in this assignment I am asked to solve this equation for y. The first thing I notice is that it is a single fraction (ratio) on both sides of the equal sign so basically it is a proportion which can be solved by cross multiplying the extremes and means. y-1 = -3 this problem is a proportion x+3 4 y-1 (x+3 = -3 (x+3) multiply both sides by x+3 – using the extreme means x+3 4 property y-1= -3x+3 add 1 to 3. A number that appears to be a solution but causes 4 0 in a denominator is called an extraneous solutions y=-3x+4 4 answer The form of equation I ended up with in problem 10 would be a linear equation. I noticed that the coefficient of x is different than the original problem is that x+3 and in my problem it is -3x/4. I could solve the problem by...
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...IGH SCHOOL STUDENTS’ DIFFICULTIES IN SOLVING PROBLEMS IN PHYSICS Luzviminda M. Panes THE PROBLEM This study sought to determine the difficulties of fourth year high school students in solvingproblems in Physics. METHODOLOGY This study is a diagnostic-illuminative type. It was intended to reveal conceptual or proceduralerrors that students commit in solving word problems in high school Physics. To achieve this end, theresearcher used the survey method of gathering information. In this method, all fourth year students of the two schools, SSPSC Tagbina and SSPSC Lianga, were asked to respond to a Diagnostic Test prepared by the author. The test was divided into 4 levels, level 1, understanding what is asked in the problems that measure the reading comprehension skills of students; Level 2, measuring the student’s skills in translating unknown into mathematical expression; and level 3 measuring the student’s skills in formulating mathematical equation that expresses the relation of he variables in the problem; lastly, in Level 4, solving problems involving linear equation, quadratic and exponential equation. The statistical tools used in analyzing the data were means and z-test. FINDINGS 1. The study found out that most students understood what is asked in the problem. The resultsrevealed that out of 130 students who took the diagnostic test, there were 76 students who passed level 1 question. 2. In level 2 questions, students...
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...Solving Proportions Assignment Solving Proportions There are many examples of algebra and Math that are more than just ambiguous elusive concepts. Many Math and Algebraic functions are used by a wide array of people in many different industries. Math is used to do more than write computer codes and by financial professionals. Math is used by many others for a lot of practical applications and purposes. It can even be used by conservationist as we will see in a sample problem we are given to work on the observation of a bear population. Problem # 56 on page 437(Dugopolski, 2012) is the observance of a population of 50 bears captured on the Keweenaw Peninsula tagged released back into the wild. One later a random sample of 100 bears yielded only two that had been tagged. In this example a proportion will be used to estimate the size of the bear population. The original bear population will be examined against the later observed population to make this determination. The ration for the original tagged population against the entire population is 50/x The ratio of bears recaptured tagged bears against entire sample 2/100 50 = 2 This is the proportion that will be used to solve the problem by solving for x X 100 Cross multiplying will be used to yield a solution. The extremes of our proportion are 50 and 100 and the means are 2 and x. 50 (100) = 2x 5000 = 2x Both sides are divided by 2 2 2 2 is canceled out on the right...
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...figures, measurement and graphs. In Grades 5 and 6 the child is expected to have mastered the four fundamental operations of whole numbers, performs skills in decimals and fractions, conceptualize the meaning of ratio and proportion, percent, integers, simple probability, polygons, spatial figures, measurement and graphs. Simple concepts in Algebra is also introduced to be articulated in the high school. Besides further development of the basic mathematical skills, the child is expected to solve problems related to business and industrial activities in the community. TIME ALLOTMENT Daily Weekly Grade 1 80 400 Grade 2 80 400 Grade 3 80 400 Grade 4 60 300 Grade 5 60 300 Grade 6 60 300 The 20-minute increase in the daily time allotment is given to ensure that all lessons are finished and there will be more activities that involve grouping practical investigations and problem solving. Pupils learn more if they have hands on or manipulative and interactive activities, learn on their own, explore, discover, generalize and apply what they learned in their daily life. 1 EXPECTATIONS GOAL: Demonstrate understanding and skills in computing with considerable speed and accuracy, estimating, communicating, thinking analytically and critically, and in solving problems in daily life using appropriate technology At the end of...
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...a division of RPG Financial Services. The ratings and evaluations collected from 15 team members, with whom Kyle worked during the last three months, support my observation. The ratings in the evaluation cover three aspects in Kyle’s performance in team works: contributing, listening, and the facilitating group problem solving. Kyle’s ability in team working is evaluated fairly according to these aspects. Kyle has an open characteristic, which attributes to his high rating in contributing part of the evaluations with four of the rating score at three points.. Kyle is very enthusiastic and passion in his work. Many of the evaluations point out that Kyle is willing to provide his own opinions and never gets lazy on his jobs. In short, he is the most active, even aggressive member in the team. However, from my observation, he puts quantity before quality of his ideas. From the very beginning to the end of a meeting, he would raise his hand to express his own perspective every three minutes. He is very initiative and has a lot of ideas, but he expresses them so soon that some of the ideas seem to lack considerations. This behavior would lead to greater proportion of low quality ideas and result in wasting time of other members. Furthermore, his ideas are mostly from single perspective. He took much time thus sacrificed other team members’ opinions that need more consideration. From my observation, Kyle can work independently and be very efficient. But to work more closely with team...
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...WEEK 1 ASSIGNMENT: Solving Proportion MAT222: Intermediate Algebra Page 437 #56.) Bear Population: To estimate the size of the bear population on the Keweenaw Peninsula, conservationist captured, tagged, and released 500 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist’s estimate of the size of the bear population? x500=1002 2x2=500002 x=25000 In this problem we are seeking to find a total amount. We must use the information we have to locate this amount. To solve we utilize the proportions formula. For this formula we use the total amount divided by the known tagged amount. Once we plug in the given amounts along with the “x” variable, we can begin to solve. First we cross multiply then finally we divide. The outcome is the total amount. Page 444 #10.) Simplify: y-1x+3=-13 3y-1=-1x+3 3y-3=-x-3 y=-x3 In this problem we have two fractional equations better known as a proportion. Next we cross using the extreme means property. The next step is to appropriately distribute on both sides. In order to solve for “y” we must move everything away from “y”. We start by subtracting, and then we divide. The final results are the equivalence of “y”. Upon going back to the top of problem#10 to check to see whether the solution is correct. I was unable to obtain a clear defined solution due to the negative fraction. However it is also unclear as to whether the problem is extraneous. One observation...
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...BUSINESS SCHOOL Unit of Study Outline Unit Code QBUS5001 Unit Title Quantitative Methods for Business Semester 2, 2013 Pre-requisite Units: None Co-requisite Units: None Prohibited Units: ECMT5001, QBUS5002 Assumed Knowledge and/or Skills: Basic calculus, basic concept of probability and statistics Unit Coordinator: Dr Boris Choy Address: Room 482, Merewether Building(H04), The University of Sydney NSW 2006 Email: boris.choy@sydney.edu.au Phone: 0293512787 Consultation Hours: Mondays 2pm-3pm at Room 482, H04 Class Day(s): Thursdays 6pm-9pm at Merewether Lecture Room 5, H04 Required Text / Resources: 1. Textbook: Selvanathan E.A., Selvanathan, S & Keller, G. (2011) Business Statistics, Australia & New Zealand 5th Edition. CENGAGE Learning. www.cengage.com.au/selvanathan5e 2. Online resources: Blackboard and Aplia 3. Software: MS Excel with Data Analysis Plus add-in This Guide to Unit Learning Content and Assessment MUST be read in conjunction with the Business School Student Administration Manual for information about all processes (sydney.edu.au/business/currentstudents/student_information/student_administration_manual) and the Business School unit of study common policy and implementation information that apply to every unit of study offered by the Business School (http://sydney.edu.au/business/currentstudents/policy). In determining applications and appeals relating to these matters it will be assumed that every student has taken the time to familiarise themselves...
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...Cognitive Processes Cognitive processes affect everyday life, often occurring within fractions of a second. Three of these cognitive processes are language, attention, and problem solving. Language is used to effectively communicate. For bilingual children developing cognitive language abilities, understanding how to appropriately use two different languages to accommodate the need of other speakers is very similar to how monolingual children communicate. Attention refers to monitoring and processing information. This paper reviews a study conducted by Huang on spatial attention. Problem solving occurs in many aspects of life, some are routine whereas others are more complex. A study involving the cognitive abilities to solve problems in younger and older adults is also reviewed Cognitive processes are unobservable, often occurring unconsciously, and are altered by previous experience. Language, attention, and problem solving are three cognitive processes that affect the daily life of all humans. Many basic cognitive processes occur within a second or less. The use of language begins very young, some would argue before birth. As bilingual children are developing their cognitive language abilities, the ability to appropriately use two different languages to accommodate the needs of other speakers also develops. The cognitive ability to solve problems that are routine or more complex is encountered on a daily basis, but age does have an effect on this cognitive...
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...Healthcare organizations face tremendous challenges in addressing efficiency, cost, quality, staffing shortages and mounting pressure to raise salaries. To bolster lagging morale and improve retention rates, management must empower staff and effectively leverage existing resources. Tools and techniques that support these imperatives are critical to the success of modern healthcare organizations. Many problems in healthcare involve processes that require analysis and improvement, but do not require detailed statistical study. Instead of appointing a task force that may meet for short periods of time over weeks or months, Work-out offers a one-day to two-day concentrated problem-solving effort. What Is Work-out? Work-out is a problem-solving approach that involves employees in process improvement and addresses communication gaps between management and employees. A Work-out takes place in three phases: planning, the session itself, and implementation of the action plan. It starts by identifying an issue complex enough to require more than a simple decision, but not so complex as to require detailed statistical analysis. Background information is gathered and participants are identified. Next, the Work-out itself takes place. Typically 6 to 12 individuals who do the work meet for one or two full days. The Work-out usually follows two or three cycles of idea generation and prioritization: identifying the details of the process under consideration, examining barriers and finally...
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...UTS: ENGINEERING Assignment Cover Sheet STANDARD and BLOCK Mode SUBJECT NAME: QUALITY PLANNING AND ANALYSIS SUBJECT NUMBER: 49309 ASSIGNMENT NUMBER: ASSIGNMENT 1 STUDENT LAST NAME: LUU STUDENT FIRST NAME: THIET XIEU STUDENT ID: 11311848 Declaration of Originality: The work contained in this assignment, other than that specifically attributed to another source, is that of the author(s) and has not been submitted in any other subject or published elsewhere before. It is recognised that, should this declaration be found to be false, disciplinary action could be taken and penalties imposed in accordance with University policy and rules. Signature: __________________________________ THIET XIEU LUU - 11311848 2012 TABLE OF CONTENTS 1. 2. Introduction ................................................................................................................... 3 Customer satisfaction ..................................................................................................... 5 2.1 2.2 2.3 Stakeholder identification ................................................................................................... 5 Methods for capturing customer needs................................................................................ 6 Customer needs identification ............................................................................................ 9 3. Design requirements ..............................
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...Development and Child Growth ECE 205 Introduction to Child Development April 9, 2012 We talk about the descriptions of child development and growth stages and what they mean and how we look at those stages and how a child will develop and growth through these changes as well. When we talk about growth we are talking about the actual size and the physical changes that a child makes over time, We talk about how the cells in the body change and with time change and expand or enlarge which is what increases the growth and the height of a child, also their weight, the circumference of their head, hands, shoe size, arm growth, and last but not least there body shape as well. Allen, K & Martoz, L (2010) When we look at children they all develop differently some will growth mentally at a faster pace than others, and others will grow physically faster than others. Infants will become more of their surroundings and with those stages of infant growths and starting out would be the rooting and sucking reflex which is a very big part of growth because that is a part of survival and that also starts to create them to be able to turn their heads. Some of the other major growths that happen with infants when they are starting to grow would be the Moro reflex, Palamar grasp reflex, babinski reflex, and last but not least the stepping and walking reflex. As those stages start to happen then you have the cognitive development and those stages would start out by the senorimotor stage...
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...Science and math integration unit I chose a culminating activity to use after the students had completed learning about fractions, ratios and percentages in math and in life science learning about the ecosystems and inquiry and observations to solve problems. The activity I chose has students looking at trees within a forest near the school. My rationale for selecting this project is that students in this area do a lot of hunting this time of year and are outside in the wilderness a lot during the month of October. I thought that this lesson would make them more aware of their environment and provide them a different way to look at their surroundings before they went off to the mountains for hunting elk and deer. I believe the students will be very interested in this unit of study and also it will help them to be more observant as they are hunting this next month. I tried to write a unit of study that students in this area would enjoy doing, one that would fit with their lifestyle and have a meaningful positive outcome upon completion. This is a summary of a culminating unit for science and math. Students will measure off a section of the forest and count quaking aspen trees and lodge pole pine trees within the measured off area. Students will then use the 12 processes of science and math skills to answer questions and complete investigations to solve the science question. The students need to collect data, chart it and analyze it to answer questions using math skills...
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...conflict has arisen from and deal with the matter in an adult like manner. If the first method doesn’t resolve conflict the individual is to approach two other coworkers familiar with both in conflict to resolve the matter. If both methods have proven ineffective the last resort is to call in an outside party to the workplace to resolve the conflict. The reasoning behind this conflict resolution approach is to provide employees with a format for communication when conflict arises. The method is an interesting way to create respect and harmony within the workplace as it creates a formal setting for communication. Central to the purpose of conflict resolution is the need for communication. Communication is the key component in problem solving, conflict management, and providing a desired outcome for interaction (Kemp-Longmore, 2000). What Phelps’ has done in a sense is necessitate positive communication over what would otherwise be negative communication. Instead of two co-workers...
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