
Math in Our World
3rd Edition
ISBN: 9780073519678
Author: David Sobecki Professor, Allan G. Bluman
Publisher: McGraw-Hill Education
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Chapter 12.2, Problem 35E
To determine
To draw: A pie chart by using internet or newspaper or library.
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Chapter 12 Solutions
Math in Our World
Ch. 12.1 - To study the number of credit hours taken by a...Ch. 12.1 - A health-food store recorded the type of vitamin...Ch. 12.1 - In one math class, the data below represent the...Ch. 12.1 - Prob. 4TTOCh. 12.1 - What are data?Ch. 12.1 - Define statistics.Ch. 12.1 - Explain the difference between a population and a...Ch. 12.1 - How is a random sample selected?Ch. 12.1 - How is a systematic sample selected?Ch. 12.1 - How is a stratified sample selected?
Ch. 12.1 - How is a cluster sample selected?Ch. 12.1 - Prob. 8ECh. 12.1 - Describe the difference between descriptive and...Ch. 12.1 - How do inductive and deductive reasoning play a...Ch. 12.1 - For Exercises 1116, classify each sample as...Ch. 12.1 - For Exercises 1116, classify each sample as...Ch. 12.1 - For Exercises 1116, classify each sample as...Ch. 12.1 - For Exercises 1116, classify each sample as...Ch. 12.1 - For Exercises 1116, classify each sample as...Ch. 12.1 - For Exercises 1116, classify each sample as...Ch. 12.1 - In Exercises 1722, decide if you think the method...Ch. 12.1 - In Exercises 172, decide if you think the method...Ch. 12.1 - In Exercises 1722, decide if you think the method...Ch. 12.1 - In Exercises 1722, decide if you think the method...Ch. 12.1 - In Exercises 1722, decide if you think the method...Ch. 12.1 - In Exercises 1722, decide if you think the method...Ch. 12.1 - At a college financial aid office students who...Ch. 12.1 - A questionnaire about how students primarily get...Ch. 12.1 - Twenty-five fans of reality TV were asked to rate...Ch. 12.1 - A small independent developer of apps for...Ch. 12.1 - The ages of the signers of the Declaration of...Ch. 12.1 - The percentage of traffic fatalities in which at...Ch. 12.1 - The data shown are the cigarette taxes per pack in...Ch. 12.1 - The acreage (in thousands of acres) of the 39 U.S....Ch. 12.1 - The heights in feet above sea level of the major...Ch. 12.1 - During the 1998 baseball season. Mark McGwire and...Ch. 12.1 - The data (in millions of dollars) are the values...Ch. 12.1 - Twenty-nine executives reported the number of...Ch. 12.1 - The National Insurance Crime Bureau reported that...Ch. 12.1 - Prob. 36ECh. 12.1 - The data shown represent the percentage of...Ch. 12.1 - Prob. 38ECh. 12.1 - For Exercises 3944, decide whether descriptive or...Ch. 12.1 - For Exercises 3944, decide whether descriptive or...Ch. 12.1 - For Exercises 3944, decide whether descriptive or...Ch. 12.1 - For Exercises 3944, decide whether descriptive or...Ch. 12.1 - For Exercises 3944, decide whether descriptive or...Ch. 12.1 - Prob. 44ECh. 12.1 - In addition to the four basic sampling methods,...Ch. 12.1 - For the data in Exercise 33, draw a stem and leaf...Ch. 12.1 - Prob. 51ECh. 12.1 - Prob. 52ECh. 12.2 - The frequency distribution below represents...Ch. 12.2 - Prob. 2TTOCh. 12.2 - Prob. 3TTOCh. 12.2 - Prob. 4TTOCh. 12.2 - Prob. 5TTOCh. 12.2 - Describe how to draw a bar graph and a pie chart...Ch. 12.2 - Explain why bar graphs and pie charts are...Ch. 12.2 - How are histograms and frequency polygons similar?...Ch. 12.2 - Describe the purpose of a time series graph.Ch. 12.2 - Draw a bar graph for the number of transplants of...Ch. 12.2 - The data below show the number of students...Ch. 12.2 - Draw a bar graph for the number of registered...Ch. 12.2 - Prob. 8ECh. 12.2 - The number of students at one campus who had a 4.0...Ch. 12.2 - In an insurance company study of the causes of...Ch. 12.2 - In a survey of 100 college students, the numbers...Ch. 12.2 - Prob. 12ECh. 12.2 - For 108 randomly selected college applicants, the...Ch. 12.2 - Prob. 14ECh. 12.2 - Thirty cars and trucks were tested by the EPA for...Ch. 12.2 - Prob. 16ECh. 12.2 - The data below represent the number of people...Ch. 12.2 - Prob. 18ECh. 12.2 - The following data represent the number of...Ch. 12.2 - Prob. 20ECh. 12.2 - The data below are the avenge daily temperatures...Ch. 12.2 - The data below are the average daily temperatures...Ch. 12.2 - The number of employed registered nurses tin...Ch. 12.2 - Prob. 24ECh. 12.2 - Prob. 25ECh. 12.2 - Prob. 26ECh. 12.2 - Prob. 27ECh. 12.2 - Prob. 28ECh. 12.2 - Prob. 29ECh. 12.2 - Prob. 30ECh. 12.2 - Prob. 31ECh. 12.2 - Prob. 32ECh. 12.2 - Prob. 33ECh. 12.2 - Prob. 34ECh. 12.2 - Prob. 35ECh. 12.2 - Make up your own frequency polygon problem: using...Ch. 12.3 - To test a customers Internet connection, a tech...Ch. 12.3 - Prob. 2TTOCh. 12.3 - Prob. 3TTOCh. 12.3 - Prob. 4TTOCh. 12.3 - Prob. 5TTOCh. 12.3 - Prob. 6TTOCh. 12.3 - Prob. 7TTOCh. 12.3 - The number of earthquakes worldwide measuring at...Ch. 12.3 - Prob. 9TTOCh. 12.3 - Prob. 1ECh. 12.3 - Prob. 2ECh. 12.3 - Prob. 3ECh. 12.3 - Prob. 4ECh. 12.3 - Prob. 5ECh. 12.3 - Which of the measures of average can be used to...Ch. 12.3 - In Questions 710, describe some strengths and...Ch. 12.3 - In Questions 710, describe some strengths and...Ch. 12.3 - In Questions 710, describe some strengths and...Ch. 12.3 - In Questions 710, describe some strengths and...Ch. 12.3 - For Exercises 1122, find the mean, median, mode,...Ch. 12.3 - For Exercises 1122, find the mean, median, mode,...Ch. 12.3 - For Exercises 1122, find the mean, median, mode,...Ch. 12.3 - For Exercises 1122, find the mean, median, mode,...Ch. 12.3 - For Exercises 1122, find the mean, median, mode,...Ch. 12.3 - For Exercises 1122, find the mean, median, mode,...Ch. 12.3 - For Exercises 1122, find the mean, median, mode,...Ch. 12.3 - For Exercises 1122, find the mean, median, mode,...Ch. 12.3 - For Exercises 1122, find the mean, median, mode,...Ch. 12.3 - For Exercises 1122, find the mean, median, mode,...Ch. 12.3 - For Exercises 1122, find the mean, median, mode,...Ch. 12.3 - For Exercises 1122, find the mean, median, mode,...Ch. 12.3 - For Exercises 2330, find the mean of the data set....Ch. 12.3 - For Exercises 2330, find the mean of the data set....Ch. 12.3 - For Exercises 2330, find the mean of the data set....Ch. 12.3 - Prob. 26ECh. 12.3 - For Exercises 2330, find the mean of the data set....Ch. 12.3 - Prob. 28ECh. 12.3 - For Exercises 2330, find the mean of the data set....Ch. 12.3 - For Exercises 2330, find the mean of the data set....Ch. 12.3 - For these situations, state which measure of...Ch. 12.3 - For Exercises 3338, describe which measure of...Ch. 12.3 - For Exercises 3338, describe which measure of...Ch. 12.3 - For Exercises 3338, describe which measure of...Ch. 12.3 - For Exercises 3338, describe which measure of...Ch. 12.3 - For Exercises 3338, describe which measure of...Ch. 12.3 - For Exercises 3338, describe which measure of...Ch. 12.3 - Prob. 39ECh. 12.3 - Prob. 40ECh. 12.3 - Prob. 41ECh. 12.3 - Prob. 42ECh. 12.3 - Prob. 43ECh. 12.3 - Prob. 44ECh. 12.3 - Prob. 45ECh. 12.3 - Prob. 46ECh. 12.3 - Prob. 47ECh. 12.3 - Prob. 48ECh. 12.4 - The monthly average high temperatures from January...Ch. 12.4 - Prob. 2TTOCh. 12.4 - Prob. 3TTOCh. 12.4 - Prob. 4TTOCh. 12.4 - Name three measures of variation.Ch. 12.4 - What is the range?Ch. 12.4 - Why is the range not usually the best measure...Ch. 12.4 - Prob. 4ECh. 12.4 - Prob. 5ECh. 12.4 - Prob. 6ECh. 12.4 - For Exercises 710, discuss the relative sizes of...Ch. 12.4 - For Exercises 710, discuss the relative sizes of...Ch. 12.4 - For Exercises 710, discuss the relative sizes of...Ch. 12.4 - Prob. 10ECh. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - For Exercises 1126, find the range, variance, and...Ch. 12.4 - The three data sets have the same mean and range,...Ch. 12.4 - Prob. 28ECh. 12.5 - The weights in pounds for the 12 members of a...Ch. 12.5 - Prob. 2TTOCh. 12.5 - Prob. 3TTOCh. 12.5 - Prob. 4TTOCh. 12.5 - Prob. 5TTOCh. 12.5 - If your score in your math class puts you in the...Ch. 12.5 - Does a score in the 90th percentile mean that you...Ch. 12.5 - Explain what quartiles are.Ch. 12.5 - Prob. 4ECh. 12.5 - What does the portion inside the box in a box plot...Ch. 12.5 - What is meant by the term outlier? How can you...Ch. 12.5 - The scores for 20 students on a 50-point math test...Ch. 12.5 - The heights (in inches) of the 12 students in a...Ch. 12.5 - In a class of 500 students, Carvetas rank was 125....Ch. 12.5 - In a class of 400 students, Johns rank was 80....Ch. 12.5 - In a charity marathon to raise money for AIDS...Ch. 12.5 - An investor decides to buy stock only in companies...Ch. 12.5 - On an exam, Angela scored in the 20th percentile....Ch. 12.5 - Out of 600 applicants to a graduate program at an...Ch. 12.5 - Eldrick finished at the 77th percentile of a mens...Ch. 12.5 - Tinas application for a nursing position is ranked...Ch. 12.5 - Leas percentile rank on an exam in a class of 600...Ch. 12.5 - In an English class of 30 students, Audrelias...Ch. 12.5 - The Bowling Green State University mens basketball...Ch. 12.5 - A pro golfer is ranked 48th out of 230 players...Ch. 12.5 - In an evening statistics class, the ages of 20...Ch. 12.5 - Twenty subjects in a psychology class experiment...Ch. 12.5 - For Exercises 2328, find the values for Q1, Q2,...Ch. 12.5 - For Exercises 2328, find the values for Q1, Q2,...Ch. 12.5 - For Exercises 2328, find the values for Q1, Q2,...Ch. 12.5 - For Exercises 2328, find the values for Q1, Q2,...Ch. 12.5 - For Exercises 2328, find the values for Q1, Q2,...Ch. 12.5 - For Exercises 2328, find the values for Q1, Q2,...Ch. 12.5 - In Problems 2932, draw a box plot for the data,...Ch. 12.5 - Prob. 30ECh. 12.5 - In Problems 2932, draw a box plot for the data,...Ch. 12.5 - In Problems 2932, draw a box plot for the data,...Ch. 12.5 - Is it possible to score 90% on a test and have a...Ch. 12.5 - Prob. 34ECh. 12.5 - Prob. 35ECh. 12.5 - Prob. 36ECh. 12.5 - Prob. 37ECh. 12.5 - Prob. 38ECh. 12.6 - A standard test of intelligence is scaled so that...Ch. 12.6 - Prob. 2TTOCh. 12.6 - Find the area under the standard normal...Ch. 12.6 - Find the area under the standard normal...Ch. 12.6 - Prob. 5TTOCh. 12.6 - What is the distinguishing characteristic of a...Ch. 12.6 - Prob. 2ECh. 12.6 - What does the area under a portion of a normal...Ch. 12.6 - Explain what the empirical rule says.Ch. 12.6 - What percentage of the area under a normal curve...Ch. 12.6 - Why does it make sense that the total area under a...Ch. 12.6 - Prob. 7ECh. 12.6 - Prob. 8ECh. 12.6 - Prob. 9ECh. 12.6 - Prob. 10ECh. 12.6 - For Exercises 1116, the data set described is...Ch. 12.6 - Prob. 12ECh. 12.6 - For Exercises 1116, the data set described is...Ch. 12.6 - Prob. 14ECh. 12.6 - For Exercises 1116, the data set described is...Ch. 12.6 - Prob. 16ECh. 12.6 - For Exercises 1738, find the area under the...Ch. 12.6 - Prob. 18ECh. 12.6 - For Exercises 1738, find the area under the...Ch. 12.6 - Prob. 20ECh. 12.6 - For Exercises 1738, find the area under the...Ch. 12.6 - Prob. 22ECh. 12.6 - For Exercises 1738, find the area under the...Ch. 12.6 - Prob. 24ECh. 12.6 - For Exercises 1738, find the area under the...Ch. 12.6 - Prob. 26ECh. 12.6 - For Exercises 1738, find the area under the...Ch. 12.6 - Prob. 28ECh. 12.6 - For Exercises 1738, find the area under the...Ch. 12.6 - Prob. 30ECh. 12.6 - For Exercises 1738, find the area under the...Ch. 12.6 - Prob. 32ECh. 12.6 - For Exercises 1738, find the area under the...Ch. 12.6 - Prob. 34ECh. 12.6 - For Exercises 1738, find the area under the...Ch. 12.6 - For Exercises 1738, find the area under the...Ch. 12.6 - For Exercises 1738, find the area under the...Ch. 12.6 - Prob. 38ECh. 12.6 - As we know from Chapter 11, the probability of an...Ch. 12.6 - As we know from Chapter 11, the probability of an...Ch. 12.6 - As we know from Chapter 11, the probability of an...Ch. 12.6 - As we know from Chapter 11, the probability of an...Ch. 12.6 - Prob. 43ECh. 12.6 - Prob. 44ECh. 12.6 - Find two z values, one positive and one negative...Ch. 12.7 - Based on data compiled by the World Health...Ch. 12.7 - The Statistical Abstract also indicates that of...Ch. 12.7 - The mean for a reading test given nationwide is...Ch. 12.7 - The ages of 33 randomly selected inmates at a...Ch. 12.7 - Explain why the normal distribution can be used to...Ch. 12.7 - Given a data set, how could you decide if the...Ch. 12.7 - Describe the connection between area under a...Ch. 12.7 - Prob. 4ECh. 12.7 - The average hourly wage for all workers in the...Ch. 12.7 - Prob. 6ECh. 12.7 - The average cost for two people to go to a movie...Ch. 12.7 - Average sales for an online textbook distributor...Ch. 12.7 - A survey found that people keep their televisions...Ch. 12.7 - The average age of CEOs is 56 years. Assume the...Ch. 12.7 - The average life of a brand of automobile tires is...Ch. 12.7 - The average time a person spends in each visit to...Ch. 12.7 - The average amount of snow per season in Trafford...Ch. 12.7 - The average waiting time for a drive-in window at...Ch. 12.7 - The average time it takes college freshmen to...Ch. 12.7 - A brisk walk at 4 miles per hour burns an average...Ch. 12.7 - During September, the average temperature of...Ch. 12.7 - If the systolic blood pressure for a certain group...Ch. 12.7 - An IQ test has a mean of 100 and a standard...Ch. 12.7 - The average size (in square feet) of homes built...Ch. 12.7 - According to the National Association of Realtors,...Ch. 12.7 - The average price of Stephen King paperbacks sold...Ch. 12.7 - Refer to Exercise 5. If your buddy Earl gets a job...Ch. 12.7 - Refer to Exercise 9. If you buy a TV for your dorm...Ch. 12.7 - Refer to Exercise 12. Suppose that your grades...Ch. 12.7 - Refer to Exercise 20. When the one-hit wonder band...Ch. 12.7 - In Problems 2730, (a) construct a histogram for...Ch. 12.7 - In Problems 2730, (a) construct a histogram for...Ch. 12.7 - In Problems 2730, (a) construct a histogram for...Ch. 12.7 - In Problems 2730, (a) construct a histogram for...Ch. 12.7 - Discuss whether or not you think each of the given...Ch. 12.7 - The number of incoming students at two campuses of...Ch. 12.7 - If a distribution of raw scores were plotted and...Ch. 12.7 - A researcher who is in charge of an educational...Ch. 12.7 - For the data provided in Exercise 27, find the...Ch. 12.7 - Prob. 38ECh. 12.8 - The data below represent the heights in feet and...Ch. 12.8 - Find the correlation coefficient for the data in...Ch. 12.8 - Prob. 3TTOCh. 12.8 - Find the equation of the regression line for the...Ch. 12.8 - Use the equation of the regression line found in...Ch. 12.8 - Describe what a scatter plot is and how one is...Ch. 12.8 - Explain what is meant when two variables are...Ch. 12.8 - Explain what is meant when two variables are...Ch. 12.8 - Prob. 4ECh. 12.8 - Prob. 5ECh. 12.8 - Prob. 6ECh. 12.8 - Describe the key difference between correlation...Ch. 12.8 - Prob. 8ECh. 12.8 - Prob. 9ECh. 12.8 - Prob. 10ECh. 12.8 - For the data sets in Exercises 1118, (a)Draw a...Ch. 12.8 - Prob. 12ECh. 12.8 - For the data sets in Exercises 1118, (a)Draw a...Ch. 12.8 - Prob. 14ECh. 12.8 - For the data sets in Exercises 1118, (a)Draw a...Ch. 12.8 - Prob. 16ECh. 12.8 - Prob. 17ECh. 12.8 - Prob. 18ECh. 12.8 - For the data sets in Exercises 1926, (a) Draw a...Ch. 12.8 - Prob. 20ECh. 12.8 - For the data sets in Exercises 1926, (a)Draw a...Ch. 12.8 - For the data sets in Exercises 1926, (a)Draw a...Ch. 12.8 - For the data sets in Exercises 1926, (a)Draw a...Ch. 12.8 - Prob. 24ECh. 12.8 - Prob. 25ECh. 12.8 - For the data sets in Exercises 1926, (a)Draw a...Ch. 12.8 - Prob. 27ECh. 12.8 - Prob. 28ECh. 12.8 - Prob. 29ECh. 12.8 - Design your own correlation problem. Think of two...Ch. 12.8 - Prob. 31ECh. 12.8 - Prob. 32ECh. 12.8 - Prob. 33ECh. 12.8 - Prob. 34ECh. 12.8 - Prob. 35ECh. 12.8 - Prob. 36ECh. 12.8 - Prob. 37ECh. 12.8 - Prob. 38ECh. 12.8 - Prob. 39ECh. 12.8 - Prob. 40ECh. 12 - A sporting goods store kept a record of sales of...Ch. 12 - The data set shown below represents the time in...Ch. 12 - During June, a local theater company recorded the...Ch. 12 - Construct a bar graph for the number of homicides...Ch. 12 - Draw a pie chart for the data in Exercies 4....Ch. 12 - Draw a histogram and frequency polygon for the...Ch. 12 - The data set shown below indicates how much Janine...Ch. 12 - The data below are the number of U.S. citizens (in...Ch. 12 - Twelve batteries were tested to see how many hours...Ch. 12 - In your own words, explain the difference between...Ch. 12 - The data below are the number of beds at the eight...Ch. 12 - Which data set do you think would have a greater...Ch. 12 - For the census data in Problem 8, (a)Find the...Ch. 12 - Find the quartiles for the data in Problem 8, then...Ch. 12 - Find the area under the standard normal...Ch. 12 - A doctor has treated 45 male patients this week....Ch. 12 - For a data set with 90 values that is normally...Ch. 12 - Prob. 18RECh. 12 - Prob. 19RECh. 12 - The average weight of an airline passengers...Ch. 12 - The average cost of Cheetah brand running shoes is...Ch. 12 - Prob. 22RECh. 12 - A study is done to see whether there is a...Ch. 12 - Prob. 24RECh. 12 - Prob. 1CTCh. 12 - Prob. 2CTCh. 12 - Prob. 3CTCh. 12 - The data (in millions of dollars) are the values...Ch. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - These temperatures were recorded in Pasadena for a...Ch. 12 - Prob. 8CTCh. 12 - Prob. 9CTCh. 12 - Prob. 10CTCh. 12 - A major brand of potato chips sells its product in...Ch. 12 - A study is conducted to determine the relationship...
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- 4 3. 2. 1 0 Π 元 -1 3 x -53. 5π 2π The graph of the function y = f(x) is shown in the xy-plane. Which of the following is the graph of the polar function r = f(e) in the polar coordinate system? A B Polar axis Polar axis Polar axis Polar axisarrow_forwardThe purpose of this problem is to solve the Black-Scholes PDE with analytical techniques, which will lead us back to the Black-Scholes formula. The technique is very similar to the one used with the Feynman-Kac formula back in MATH 467. Let's consider the PDE given by with terminal condition f(T,x) af + Ət 1 02 ર .2მ2 f af მ2 +rx მე - rf = 0, = (x-K)+. The solution f(t, x) corresponds to the price of a call option (given the initial condition) at time t if the stock price is x. (a) The first two things that prevent us from solving this PDE directly are (i) the fact that we have a terminal condition, instead of an initial condition; (ii) the terms in front of the derivatives are not constant. To address these, we use the transformation g(t, x) = ƒ(T − t,e³), equivalent to f(t, x) = g(T-t, log(x)). Under this condition, determine the PDE and the initial condition satisfied by g. (b) Now, the PDE obtained in (a) should have an initial condition and constant coeffi- cients, but it still…arrow_forward٣:٥٣ النموذج الاول . . . O O O بشما ند الحمر الحمر الجمهورية الجنية وزارة التربية والتعليم اليوم التاريخ اللجنة العليا للاختبارات الزمن اختبار مادة الجبر والهندسة لجنة المطابع السرية المركزية للشهادة الثانوية العامة (القسم العلمي) الفترة %97 (1) ظلل في ورقة الإجابة الدائرة التي تحتوي على الحرف ( ص ) للإجابة الصحيحة والحرف ( خ ) للإجابة الخطأ بحسب رقم الفقرة لكل مما يأتي ( درجة لكل فقرة ) )1 ) 2 ) 3 ) 4 ) بؤرة القطع س" = ١٢ ص هي ( ۲ ) طول المحور الأصغر للقطع ٩ س + ص = ٩ يساوي 6 وحدات طول . ) إذا كان & عدد مركب ، 181 + 11 = ٦ ، فإن ١١ = ٣ . ) إذا كان م + ۳ ت = ۲ + ت ب م ، ب دع ، فإن م + ب = 5 ( ) إذا كان & = ۱ + ٣ ت ، فإن ٠ = ١٠ . 6 ( - ) إذا كان ٥٠ - ٣ - ١٢٠ ٤ - ٣ ، فإن قيمة ٧ = ٥ . 1 ) = N ) إذا كان ح هو الحد الخالي من س في المفكوك ( س + v. N 8 ( ( قيمة المقدار , = + ۱ ، * . . + ، فإن قيمة ٧ = ١٦ . ۱ + 9 ( ) المستقيمان المقاربان للقطع الذي معادلته س" = ١ هما ص = : ۹ 10 ( ) إذا كان ٥ + س = ٢٤ ، فإن قيمة س = - 1 س 11 ( ) إذا كانت النسبة بين الحدين الأوسطين تساوي 9 في المفكوك ( س + - ) ،…arrow_forward
- الاسم يمنع استخدام الآلة الحاسبة ظلل في ورقة الإجابة الدائرة التي تحتوي على الحرف (ص) للإجابة الصحيحة والحرف (خ) للإجابة الخطأ بحسب رقم الفقرة لكل مما يأتي: درجة لكل فقرة. ( ) نها جا 元 جتا = صفر س ۱ س س -۱ ( ) يمكن إعادة تعريف الدالة د(س) = س قاس لكي تكون متصلة عند س = 7 ( ) إذا كانت د(س) = (٢) س - س ) ؛ فإن د(١) = ٦ ٢ س ص ( ) إذا كانت س + 0= ؛ فإن عند ) - ١ ، - ٦ ) تساوي (٦) ( ) إذا كانت د(س) = س ه ، و (س) = ٣ س ٢ + ٢ س ؛ فإن ( د ) (۱) = ۸ ) ( معادلة ناظم الدالة ص = د(س) عند النقطة ) ( ، د (۲)) هي ص - (د (م) - - د (۲) ( س - م ) ( ) إذا كانت ص = ظتا٢ س ؛ فإن ص = ٢ ص قتا ٢س ) ( إذا كانت د(س) = س ؛ فإن د (T) = جتاس 1- T ( ) إذا كانت د(س) = 1 - جناس جاس ؛ فإن د () = - 1 ( ) إذا كانت الدالة د (س) تحقق شروط مبرهنة القيمة المتوسطة على [ ، ب ] ، فإنه يوجد جـ ] ، ب [ بحيث (جـ) = (P) + (~)- - ب + P 1 2 3 4 5 6 7 8 9 10 11 ( ) للدالة د(س) = لو ( س ) + (٣) نقطة حرجة عند س = . ( ) إذا كان س = - ٢ مقارباً رأسياً للدالة د(س) 12 10 13 14 15 16 17 س = لو|س | + ث - = ۲ س + ٣ ب س + ٤ ، فإن معادلة…arrow_forwardPlease help me answer question b and c for this problem.A student project involved collecting data to see if there was a difference in the amount of time one had to wait at the drive-thru between two fast food restaurants, A and B. She randomly selected 30 cars at fast food restaurant A and 30 cars at fast food restaurant B. For each car chosen, she recorded how much time passed from the placement of the order to receiving their food at the pick-up window. The data is given in the table below measured in Seconds. Use α=0.05.CSV…arrow_forwardPlease help me with the following statistics problem A long-distance runner wants to compare the durability of two running shoe brands: Brand A and Brand B. Instead of testing them separately, 15 runners simultaneously wear Brand A on the left foot and Brand B on the right foot during training runs. The runner continues training as usual and tracks how many kilometers each shoe lasts before showing significant wear (e.g., loss of cushioning, outsole damage). Since both shoes experience the same runner, terrain, and conditions, any lifespan difference can be attributed to the shoe brand rather than external factors. Test whether Brand A running shoes have a significantly shorter lifespan than Brand B when worn under the same conditions by the same runner. CSV: "","A","B" "A",197,193 "B",230,229 "C",179,180 "D",206,205 "E",182,180 "F",141,142 "G",207,207 "H",116,112 "I",78,79 "J",0,0 "K",213,212 "L",86,83 "M",181,181 "N",85,79 "O",73,71 The…arrow_forward
- 6) A farmer has 60 acres on which to plant oats or corn. Each acre of oats requires 100 lbs of fertilizer and 1 hour of labor. Each acre of corn requires 50 lbs of fertilizer and 2 hours of labor. The farmer has 5000 lbs of fertilizer and 100 hours available for labor. If the profit is $60 from each acre of oats and $100 from each acre of corn, what planting combination will produce the greatest total profit? a) Fill in the following chart to help organize the information given in the problem: Oats Labor Fertilizer Land Profit b) Write down the question of interest. Corn Available c) Define variables to answer the question of interest. Call these x and y. d) Write the objective function to answer the question of interest. e) List any constraints given in the problem.arrow_forwardAn article appeared in the Journal of Gambling Issues, in which the authors looked at random samples of Ontario residents who (i) have not completed some form of post-secondary education and (ii) have completed some form of post-secondary education. A code of 0 indicates the person does not have a gambling problem, a code of 1 indicates the person does have a gambling problem. The data is found in the accompanying data file. Download.csv file To count the frequencies of 0 and 1 in each sample, use the table(your_dataset_name$ column's name) function. Make sure to replace "your_dataset_name" with the actual name of your data file and specify the correct column name. For example: table(file60c5d1286c735$ CompletedPSEducation) Let PNOPS represent the proportion of persons not completing some form of post-secondary education who have a gambling problem, and PPs be the proportion of persons having completed post-secondary education who have a gambling problem. (a) Find a 92% confidence…arrow_forwardWe consider a (European) call option on a stock with expiration in 3 months and strike price $10. The annual interest rate on the market is r = 4%. The current price of the stock is $10 and we assume that the stock follows a geometric Brownian motion (Black-Scholes) model with parameters = 6% and σ = 0.2. (a) Determine the price Fo of this option at time t = : 0 (today). (b) Using the formulas provided in the lecture videos, calculate the value of each of the Greeks for this option. Namely, calculate A, T, v, О, p. (c) Find a formula for the change of the option price with respect to a change in the af (St, t) Әк strike price. In other words, determine (d) For each of the suggested modifications below, use an approximation to determine the change in the price of the option above without actually recalculating the price. For each one, provide an intuitive argument to explain why the price increases or decreases. (i) The rate of return μ decreases to 5%. (ii) The interest rate r…arrow_forward
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