2024 Ap stats 2017 frq answers

Express your answer in terms of m, h, k, b , v, and physical constants, as appropriate. ii. Using the differential equation from part (d)i, show that the speed of the block v(t) as a function of. 1 1 b t. time t can be written in the form ( ) =. v t , where t = 0. v + v 0 is the speed at. 0 m.. Blacksburg va obituaries

The federal government is able to distribute necessary resources. score of zero (0) is assigned to an answer that is off-task or is attempted but earns no points. score of dash (—) is assigned to an answer that is blank. 2017 The College Board. Visit the College Board on the Web: www.collegeboard.org.at your answers. You must show your work to receive credit for your answer. Pay attention to significant figures. Na 2 S 2 O 3 (aq) + 4 NaOCl(aq) + 2 NaOH(aq) → 2 Na 2 SO 4 (aq) + 4 NaCl(aq) + H 2 O(l) 2018 AP ® CHEMISTRY FREE-RESPONSE QUESTIONS 1. A student performs an experiment to determine the value of the enthalpy change, D H D rxn, for theFor 2024, the Clemson advanced placement statistics practice exam will be held from 8:30 a.m.-2:30 p.m. April 20. Information about the exact location will be added later in the Spring semester. Registered teachers will be receive more specific information and reminders as the event approaches. Register for the Exam.Select a point value to view scoring criteria, solutions, and/or examples and to score the response. 0 1 2 The student response accurately includes both of the criteria below.AP FRQ and MCQ RESOURCES. AP MCQ ARCHIVE; ... My 2017 AP Chemistry Released Exam Draft Answers & Comments appear below. The questions are here. These are DRAFT answers and may change as errors are pointed out to me, and other thoughts come to my mind. ... I think that there is the possibility of DIFFERENT answers to mine scoring full credit ...2019 AP Statistics Free Response #1. Corrections for question 1: I misread part c. the bimodal distribution is clear from the histogram, and not the box plot. I answered it in the video the other way. 2019 AP Statistics Free Response #2. 2019 AP Statistics Free Response #3. 2019 AP Statistics Free Response #4.AP Statistics. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket AP® CHEMISTRY 2017 SCORING GUIDELINES . Question . 2 Answer the following questions about the isomers fulminic acid and isocyanic acid. Two possible Lewis electron-dot diagrams for fulminic acid, HCNO, are shown below. .. .. H-C==N-0: H-C=N=O= (a) Explain why the diagram on the left is the better representation for the bonding in fulminic acid. Intent of Question. The primary goals of this question were to assess a student’s ability to (1) state the appropriate hypotheses; (2) identify and compute the appropriate test statistic; (3) make a conclusion in the context of the problem; and (4) compare two sets of proportions to identify the preferred habitat.A scatterplot of weight versus length revealed a relationship between the two variables described as positive, linear, and strong. (a) For the situation described above, explain what is meant by each of the following words. (i) Positive: (ii) Linear: (iii) Strong:AP® Statistics 2021 Scoring Commentary. Question 5 (continued) Sample: 5B Score: 2. The response earned the following: part (a) - P; part (b) - E; part (c) - P. In part (a) the response indicates that the researcher's claim is incorrect, satisfying component 1. The response indicates that the sample sizes are not equal using the phrase ...AP® STATISTICS 2015 SCORING GUIDELINES Question 3 (continued) if one of the incorrect cumulative probabilities . P(X 1), P(X 1), or P(X 1) is stated AND computed correctly. Incorrect (I) if the response does not meet the criteria for E or P. Note: The probability can be calculated as . 1 P(X 0) 1 0.15 0.85. Part (b) Includes 5 pages filed with important advice. You will definitely want to review this. AP Statistics | Practice Exams | Free Response | Notes | Videos | Study Guides. All the online resources that you need to prep for the AP Statistics free response questions. Includes previous questions and answers along with FRQ tips. AP Statistics 2000 Scoring Guidelines. The materials included in these files are intended for non-commercial use by AP teachers for course and exam preparation; permission for any other use must be sought from the Advanced Placement Program. Teachers may reproduce them, in whole or in part, in limited quantities, for face-to-face teaching ...AP Calculus AB 2017 Free-Response Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 18, 2017 1 Problem 1 1.1 Part a The approximation with a left-hand sum using the intervals given is 50:32+14:43+6:55 = 176:3: (1) 1.2 Part bThe response also identifies that "obesity rates have risen in young children.". Additionally, response evaluates multiple sources and lack of evidence to elevate it to a score of 4. However, the response does not directly identify enough examples of evidence to elevate it to a score of 6. End-of-Course Short Answer. Sample: C Question 1 ...AP Chemistry 2017 FRQ answers. These are the answers I worked out for them, please disagree/agree with me below: 1Ai) 0.31mol cl2 II) 7.9g cs2. Bi) more collisions Bc higher frequency at higher temperature. Also more effective collisions taking place Bii) I drew the line below the curve. ci) cl-s-s-cl with no double bonds, just dots filled ...The correct formal statement is: The 97.5 percent lower confidence bound for the difference in the means is above zero (0.16), so at the 0.025 level we would conclude that the mean rating for the treated berries is significantly lower than the mean for the untreated strawberries. 4 Complete Response.26-Apr-2022 ... In this video I go over MCQ #7-13 of the Multiple Choice Section of the 2017 AP Statistics Exam.Point 1: Crystallized intelligence. Responses must indicate how acquired knowledge (facts, general information, or vocabulary), or lack thereof, relates to Ludy's return to working at the library. Score: "Ludy's ability to recall the Dewey Decimal System will help in his return.". 2017 AP® STATISTICS FREE-RESPONSE QUESTIONS. 3. A grocery store purchases melons from two distributors, J and K. Distributor J provides melons from organic farms. The distribution of the diameters of the melons from Distributor J is approximately normal with mean 133 millimeters (mm) and standard deviation 5 mm. Essentially correct (E) if the response includes the following three components: 1. The correct value of 35.02 for the slope. 2. An interpretation that includes an increase of a specified amount of weight for each unit increase in length. The College Board is a mission-driven not-for-profit organization that connects students to college success and opportunity. Founded in 1900, the College Board was created to expand access to higher education. Today, the membership association is made up of over 6,000 of the world’s leading educational institutions and is dedicated to ... component 1 nor component 2 is satisfied. Finally, because the response does not explain that the preferences of teachers and students might differ, component 3 is not satisfied. Because the response. essentially correct, and one part was scored as incorrect, the response earned a score of 2.Questions & Worked Solutions For AP Statistics 2021 Exam. AP Statistics 2021 Exam Questions (pdf) 2021 AP Statistics Free Response #1. 2021 AP Statistics Free Response #2. 2021 AP Statistics Free Response #3. Corrections for Question 3: (b) I left out an interpretation of the expected value. One way to write it would be to say "An employee ... Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. iPhone: Tracking things like running mileage, weight, sleep, practice time, and whatever else is great, but unless you really visualize that data, it's pretty useless. Datalove pro...The AP Statistics framework is organized into nine commonly taught units of study that provide one possible sequence for the course. As always, you have the flexibility to organize the course content as you like. Unit. Exam Weighting (Multiple-Choice Section) Unit 1: Exploring One-Variable Data. 15%-23%AP Statistics. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket06-May-2023 ... Walkthrough of the 2023 AP Statistics FRQ #6 Website: http://www.bothellstemcoach.com PDF Solutions: ...Visit the College Board on the Web: www.collegeboard.org. AP Central is the oficial online home for the AP Program: apcentral.collegeboard.org. 1. 300 (a) ∫ r ( t ) dt = 270. 0. According to the model, 270 people enter the line for the escalator during the time interval 0 ≤ t ≤ 300. (b) 20 + ∫ ( 300 ( 300.Good morning, Quartz readers! Good morning, Quartz readers! A$AP Rocky awaits his verdict. The American rapper, whose real name is Rakim Meyers, was detained and charged with assau...component 1 nor component 2 is satisfied. Finally, because the response does not explain that the preferences of teachers and students might differ, component 3 is not satisfied. Because the response. essentially correct, and one part was scored as incorrect, the response earned a score of 2.Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. Note ...AP® CALCULUS AB/CALCULUS BC 2014 SCORING GUIDELINES. 1. Grass clippings are placed in a bin, where they decompose. For 0 ≤ t ≤ 30, the amount of grass clippings remaining in the bin is modeled by A ( t ) = 6.687 ( 0.931 ) t , where A ( t) is measured in pounds and t is measured in days. Find the average rate of change of A(t) over the ...The 2021 Statistics exam format will be: Paper Exam: Section 1: Multiple Choice - 50% of your score. 40 questions in 1 hr 30 mins. Section 2: Free Response - 50% of your score. 6 questions in 1 hr 30 mins. Part A: 1 multipart question with a focus on collecting data. 1 multipart question with a focus on exploring data.Method 1: Take a random sample of 200 tortillas from the 200,000 tortillas produced on a given day. Measure the diameter of each selected tortilla. Method 2: Randomly select one of the two production lines on a given day. Take a random sample of 200 tortillas from the 100,000 tortillas produced by the selected production line.Free-Response Questions. Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ...The College Board has released free-response questions from 1998-2019, as well as 2021 which means you have dozens of official free-response questions to use for your studying. All the free-response questions include answer keys and sample responses. Unofficial AP Statistics Practice Tests and QuizzesApr 6, 2020 · 2017 FRQ Review. april 6, 2020. Bob Amar. 📑 Summary. ⏳ Timestamps. 📚 Resources. 📊 Exam Skills study guides written by former AP Stats students to review Exam Skills with detailed explanations and practice questions. 06-May-2023 ... Walkthrough of the 2023 AP Statistics FRQ #3 Website: http://www.bothellstemcoach.com PDF Solutions: ...If you have any questions, feel more than free to comment them below!For part b), since the regression line is not perfect, the best answer should include wo...2017 AP ® UNITED STATES GOVERNMENT AND POLITICS FREE-RESPONSE QUESTIONS UNITED STATES GOVERNMENT AND POLITICS SECTION II Time—1 hour and 40 minutes Directions: You have 100 minutes to answer all four of the following questions. Unless the directions indicate otherwise, respond to all parts of all four questions.2017: Free-Response Questions. Questions. Scoring. Samples and Commentary. Free-Response Questions. Scoring Guidelines. Chief Reader Report. Scoring Statistics. Scoring Distributions. Sample Responses Q1. Sample Responses Q2. Sample Responses Q3. Sample Responses Q4Select a point value to view scoring criteria, solutions, and/or examples and to score the response. 0 1 2 The student response accurately includes both of the criteria below.Is credit card ownership related to things like income, education level, or gender? We'll break down the relationship between these and more. We may be compensated when you click o...Each of these videos walks through the solution to a released AP Statistics Free Response Questions going back several years.Sample: 1C Score: 2. The response did not earn point 1 because there is no discussion of a physiological need or eating behavior. The response did not earn point 2 because there is no discussion of a food-related stimulus or eating behavior. The response did not earn point 3 because it does not describe eating behavior.Early Solutions for the 2021 AP Statistics Exam. Updated: Aug 9, 2023. The College Board typically releases the free response questions for the AP Statistics Exam about 48 hours after the exam. So starting early Wednesday afternoon, we feverishly refreshed the College Board website like we were trying to buy tickets for a Justin Timberlake concert.Read the following article from the Fremont Daily Times and answer the questions that follow. SCIENCE FREE-RESPONSE QUESTIONS. Describe TWO effects that ingesting microbeads has on aquatic organisms. Dr. Ewoldsen states that nitrates pose different threats to aquatic ecosystems than microbeads do. Describe how nitrate levels can negatively ...What was the last common ancestor of apes and humans? Learn more about new primate research that could answer the question at HowStuffWorks. Advertisement We want to understand whe...Directions: Questions 1-3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each. Questions 4-7 are short free-response questions that require about 9 minutes each to answer and are worth 4 points each. Write your response in the space provided following each question.2017: Free-Response Questions. Questions. Scoring. Samples and Commentary. Free-Response Questions. Scoring Guidelines. Chief Reader Report. Scoring Statistics. Scoring Distributions. Sample Responses Q1. Sample Responses Q2. Sample Responses Q3. Sample Responses Q4AP® Calculus AB Scoring Statistics 2017 Free-Response Questions. Question. Mean. Standard Deviation. Number of Possible Points. 3.32. 2.34.AP® Statistics 2010 Free-Response Questions The College Board The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the College Board is composed of more than 5,700 schools, colleges, universities and other ... Show how you obtained your answer.2017 AP ® UNITED STATES GOVERNMENT AND POLITICS FREE-RESPONSE QUESTIONS UNITED STATES GOVERNMENT AND POLITICS SECTION II Time—1 hour and 40 minutes Directions: You have 100 minutes to answer all four of the following questions. Unless the directions indicate otherwise, respond to all parts of all four questions.Includes 5 pages filed with important advice. You will definitely want to review this. AP Statistics | Practice Exams | Free Response | Notes | Videos | Study Guides. All the online resources that you need to prep for the AP Statistics free response questions. Includes previous questions and answers along with FRQ tips.1. Corn is used as food and as an input in the production of ethanol, an alternative fuel. Assume corn is produced in a perfectly competitive market. (a) Draw correctly labeled side-by-side graphs for the corn market and a representative corn farmer. On your graphs show each of the following. 2017 SCORING GUIDELINES. 11. 10 points (4 + 2 + 1 + 1 + 2) 4 points: One point is earned for drawing a correctly labeled graph of the corn market with PM and QM. The market demand curve must be downward sloping and the market supply curve must be upward sloping. One point is earned for showing a horizontal demand curve on the firm’s graph ... Questions 3–8 are short free-response questions that require about 6 minutes each to answer. Questions 3–5 are worth 4 points each and questions 6–8 are worth 3 points each. Read each question carefully and completely. You are advised to spend the 10-minute reading period planning your answers. You may begin writing your responses before ...20.051 pounds of bananas are removed from the display table during the first 2 hours the store is open. (b) f ′ ( 7 ) = − 8.120 (or − 8.119 ) After the store has been open 7 hours, the rate at which bananas are being removed from the display table is decreasing by 8.120 (or 8.119) pounds per hour per hour. (c) g ( 5 ) − f ( 5 ) = − 2. ...Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ...AP Statistics 2017. In desperate need of the 2017 AP Statistics Exam. It isn't on in the folder that was recently made with all the stuff. Plss!! They're on the strugglebuddies repo!Support your answer. 2019 AP ® STATISTICS FREE-RESPONSE QUESTIONS . GO ON TO THE NEXT PAGE. -9- ... 19.7 percent of 61 randomly selected kochia plants were resistant to glyphosate. In 2017, 38.5 percent of ... 2019 AP ® STATISTICS FREE-RESPONSE QUESTIONSHere are all of the FRQs from previous AP Statistics Exams according to topic. A huge thank you to Josh Tabor for always updating this list. Searchable List of All Free-Response Questions EverAP Chemistry Scoring Guidelines 2017 Author: The College Board Subject: AP Chemistry Scoring Guidelines 2017 Keywords: AP Chemistry; Scoring Guidelines; 2017; exam information; scoring information; teacher resources Created Date: 7/10/2017 4:32:53 PMPart (a): Because the distribution of the daily number of absences is approximately normal with mean 120 students and standard deviation 10.5 students, the z-score for an absence total of 140 students is. z = 140 − 120 ≈ 1.90 . The table of standard normal probabilities or a calculator reveals that the.AP® STATISTICS 2017 SCORING GUIDELINES Question 3 Intent of Question The primary goals of this question were to assess a student's ability to (1) calculate a …View AP Statistics 2017 Free-Response Question 1.pdf from MATH BC at Hume Fogg High Academic Magnet. 7 above the actual 2017 AP® STATISTICS FREE-RESPONSE QUESTIONS STATISTICS SECTION II PartEach of these videos walks through the solution to a released AP Statistics Free Response Questions going back several years.AP Calculus AB/BC. Exam Skills. 2017 FRQ Review. 2017 FRQ Review. april 20, 2020. Brandon Wu. Resources. 📑 Summary ⏳ Timestamps 📚 Resources. Learn how to answer free-response questions by practicing the 2017 Calculus FRQs. We practice BC for the first 20-25 minutes and then work on AB concepts.2.82 0.0048. Step 4: State a correct conclusion in the context of the study, using the result of the statistical test. Because this p-value is smaller than any common significance level such as. 0.05 or a 0.01 (or, because this p-value is so small), we reject H 0 and conclude that the data provide convincing.2019 AP ® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B . Time—1 hour . Number of questions—4 . NO CALCULATOR IS ALLOWED FOR THESE QUESTIONS. 3. The continuous function f is defined on the closed interval . −6 £ x £ 5. The figure above shows a portion of . the graph of . fEach essentially correct (E) part counts as 1 point, and each partially correct (P) part counts as 1⁄2 point. If a response is between two scores (for example, 2 1⁄2 points), use a …Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ...AP Chemistry Scoring Guidelines from the 2019 Exam Administration Keywords: scoring guidelines; 2019 AP exam administration; teacher resources; exam resources; exam practice; exam scoring information; exam preparation; course preparation; AP Chemistry Scoring Guidelines from the 2019 Exam AdminiL | YÍ_r d1 sP+©q ?)°í ³ c$Part A Questions 1-5. Spend about 65 minutes on this part of the exam. Percent of Section II score—75. Directions: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. 1.Scoring. This question is scored in four sections. Section 1 consists of steps 1 and 2 in part (a); section 2 consists of step 3 in part (a); section 3 consists of step 4 in part (a); and section 4 consists of part (b). Sections 1, 2, 3 and 4 are scored as essentially correct (E), partially correct (P), or incorrect (I).Support your answer. 2019 AP ® STATISTICS FREE-RESPONSE QUESTIONS . GO ON TO THE NEXT PAGE. -9- ... 19.7 percent of 61 randomly selected kochia plants were resistant to glyphosate. In 2017, 38.5 percent of ... 2019 AP ® STATISTICS FREE-RESPONSE QUESTIONS20.051 pounds of bananas are removed from the display table during the first 2 hours the store is open. (b) f ′ ( 7 ) = − 8.120 (or − 8.119 ) After the store has been open 7 hours, the rate at which bananas are being removed from the display table is decreasing by 8.120 (or 8.119) pounds per hour per hour. (c) g ( 5 ) − f ( 5 ) = − 2. ...07-Jun-2023 ... 2021 AP Stats FRQ #3 - Probability a. Random variable that is distributed binomially b. Calculate and interpret expected value of a binomial ... If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The 2020 free-response questions are available in the AP Classroom question bank. Download free-response questions from past AP Human Geography ... 2016 The College Board. Question 1 (continued) Increase in bat food sources. Increase in West Nile and other insect-borne diseases. Decrease in the spread of rabies. Decrease in fungus that causes WNS. Decrease in bat guano (tied to organism) Decline in plants pollinated or dispersed by bats.

I usually can't find the answers to the progress check frqs, I just try my best, and if I get a good score, then I share my work for any fellow chem pals. But, if you dig deep enough on the web, the frq answers might be released. This was the case for the earlier progress check frqs prior to Unit 9. Hope this helps :). Restorfinisher

2019 AP ® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B . Time—1 hour . Number of questions—4 . NO CALCULATOR IS ALLOWED FOR THESE QUESTIONS. 3. The continuous function f is defined on the closed interval . −6 £ x £ 5. The figure above shows a portion of . the graph of . fAP Statistics Practice Exam From the 2 015 Administration This Practic e Exa m is provided by the Colleg e Boar d fo r AP Exam preparation . Teacher s ar e permitted to download the material s an d mak e copies to use wit h thei r student s in a classroo m settin g onl y. T o maintai n th e securit y of this exam , teacher s shoul d collec t al l material s afte r thei r administratio n an d ...Ë In a normal distribution, approximately 9.2 percent of the z-scores are below. 0.15 ̄ -1.33. However, there are no running times less than 4.4 seconds, which indicates that there are no running times with a z-score less than -1.33. Therefore, the distribution of 40-yard running times is not approximately normal.18-Apr-2024 ... talk through the solution for one of the free response questions from the 2017 AP Statistics exam - problem #3 about melon distributors to a ...The 2020 free-response questions are available in the AP Classroom question bank. Download free-response questions from past AP Comparative Government and Politics exams, along with scoring guidelines and sample responses.15-May-2023 ... In this video I go over FRQ #4 from the 2023 AP Statistics Exam.Every released FRQ from 1990 to 2023 has a worked answer. 2020 was a COVID interrupted year, and no formal exam questions were released into the public domain by the College Board, although AP teachers do have access to questions from 2020. Prior to 1990, some additional FRQ answers are available, others are not (Blue = available, Grey = not ... The federal government is able to distribute necessary resources. score of zero (0) is assigned to an answer that is off-task or is attempted but earns no points. score of dash (—) is assigned to an answer that is blank. 2017 The College Board. Visit the College Board on the Web: www.collegeboard.org. AP® STATISTICS 2017 SCORING GUIDELINES. Question 1 (continued) Partially correct (P) if the response includes only three of the four components. Incorrect (I) if the response does not meet the conditions for E or P.Step 4: State a correct conclusion in the context of the problem, using the result of the statistical test. Because the p-value of 0.0011 is very small, that is, less than any reasonable significance level such as a = 0.01, or a = 0.05, we reject the null hypothesis.If you have any questions, feel more than free to comment them below!For part b), since the regression line is not perfect, the best answer should include wo...AP® Statistics 2010 Free-Response Questions The College Board The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the College Board is composed of more than 5,700 schools, colleges, universities and other ... Show how you obtained your answer.Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ...Score Distributions. Sample Responses Q1. Sample Responses Q2. Sample Responses Q3. Sample Responses Q4. Sample Responses Q5. Sample Responses Q6. Sample Responses Q7. Download free-response questions from past AP Chemistry exams, along with scoring guidelines, sample responses from exam takers, and scoring distributions.Answers not considered sufficient: 1. Large sample size 2. Inappropriate conditions like n≥ 30, or normal population this earns at most a P 3. Checking sample size relative to population is appropriate but not required. 4. Any statement of hypotheses, description of population, and definition of parameter is extraneous.Each essentially correct (E) part counts as 1 point, and each partially correct (P) part counts as 1⁄2 point. If a response is between two scores (for example, 2 1⁄2 points), use a holistic approach to decide whether to score up or down, depending on the strength of the response and quality of the communication.View AP Classroom Unit 5 FRQ Scoring Guide.pdf from MATH 203 at Haverford College. AP Statistics Scoring Guide Unit 5 Progress Check: FRQ 1. Show all your work. Indicate clearly the methods you use,.

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