Math in Our World
3rd Edition
ISBN: 9780073519678
Author: David Sobecki Professor, Allan G. Bluman
Publisher: McGraw-Hill Education
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Chapter 12.6, Problem 2TTO
To determine
To find: The z-score for a person with an IQ of 91 by using mean 100, standard deviation 15.
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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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- Make M the subject: P=2R(M/√M-R)arrow_forwardExercice 2: Soit & l'ensemble des nombres réels. Partie A Soit g la fonction définie et dérivable sur R telle que, pour tout réel x. g(x) = - 2x ^ 3 + x ^ 2 - 1 1. a) Étudier les variations de la fonction g b) Déterminer les limites de la fonction gen -oo et en +00. 2. Démontrer que l'équation g(x) = 0 admet une unique solution dans R, notée a, et que a appartient à | - 1 ;0|. 3. En déduire le signe de g sur R. Partie B Soit ƒ la fonction définie et dérivable sur R telle que, pour tout réel s. f(x) = (1 + x + x ^ 2 + x ^ 3) * e ^ (- 2x + 1) On note f la fonction dérivée de la fonction ƒ sur R. 1. Démontrer que lim x -> ∞ f(x) = - ∞ 2. a) Démontrer que, pour tout x > 1 1 < x < x ^ 2 < x ^ 3 b) En déduire que, pour x > 1 0 < f(x) < 4x ^ 3 * e ^ (- 2x + 1) c) On admet que, pour tout entier naturel n. lim x -> ∞ x ^ n * e ^ (- x) = 0 Vérifier que, pour tout réel x, 4x ^ 3 * e ^ (- 2x + 1) = e/2 * (2x) ^ 3 * e ^ (-2x) puis montrer que: lim x -> ∞ 4x ^ 3 * e…arrow_forwardshow me pass-to-passarrow_forward
- Ministry of Higher Education & Scientific Research Babylon University College of Engineering - Al musayab Automobile Department Subject :Engineering Analysis Time: 2 hour Date:27-11-2022 کورس اول تحليلات تعمیر ) 1st month exam / 1st semester (2022-2023)/11/27 Note: Answer all questions,all questions have same degree. Q1/: Find the following for three only. 1- 4s C-1 (+2-3)2 (219) 3.0 (6+1)) (+3+5) (82+28-3),2- ,3- 2-1 4- Q2/:Determine the Laplace transform of the function t sint. Q3/: Find the Laplace transform of 1, 0≤t<2, -2t+1, 2≤t<3, f(t) = 3t, t-1, 3≤t 5, t≥ 5 Q4: Find the Fourier series corresponding to the function 0 -5arrow_forwardQ1lal Let X be an arbitrary infinite set and let r the family of all subsets F of X which do not contain a particular point x, EX and the complements F of all finite subsets F of X show that (X.r) is a topology. bl The nbhd system N(x) at x in a topological space X has the following properties NO- N(x) for any xX N1- If N EN(x) then x€N N2- If NEN(x), NCM then MeN(x) N3- If NEN(x), MEN(x) then NOMEN(x) N4- If N = N(x) then 3M = N(x) such that MCN then MeN(y) for any уем Show that there exist a unique topology τ on X. Q2\a\let (X,r) be the topology space and BST show that ẞ is base for a topology on X iff for any G open set xEG then there exist A Eẞ such that x E ACG. b\Let ẞ is a collection of open sets in X show that is base for a topology on X iff for each xex the collection B, (BEB\xEB) is is a nbhd base at x. - Q31 Choose only two: al Let A be a subspace of a space X show that FCA is closed iff F KOA, K is closed set in X. الرياضيات b\ Let X and Y be two topological space and f:X -…arrow_forwardMinistry of Higher Education & Scientific Research Babylon University College of Engineering - Al musayab Automobile Department Subject :Engineering Analysis Time: 2 hour Date:27-11-2022 کورس اول تحليلات تعمیر ) 1st month exam / 1st semester (2022-2023)/11/27 Note: Answer all questions,all questions have same degree. Q1/: Find the following for three only. 1- 4s C-1 (+2-3)2 (219) 3.0 (6+1)) (+3+5) (82+28-3),2- ,3- 2-1 4- Q2/:Determine the Laplace transform of the function t sint. Q3/: Find the Laplace transform of 1, 0≤t<2, -2t+1, 2≤t<3, f(t) = 3t, t-1, 3≤t 5, t≥ 5 Q4: Find the Fourier series corresponding to the function 0 -5arrow_forwardSHU Pra S × (29 (29 Ful SH Fre SH Stu 1b | Stu M De rea Ma tea Tea | b An | filo Tea | filo Filo SH + OXFORD C talentcentral.eu.shl.com/player/testdriver/launch?s=61B06D43-1AC3-4353-8210-9DF5644C9747&from Launch=true ☆ V My Profile → Exit SHL Help▾ 09:21 Community Service Schedule Team A: 4 people Team B: 6 people Team C: 8 people 9 10 11 12 1 2 3 4 5 6 Question You are organizing a community service event today. At least 6 people must be working the event between 10 a.m.5 p.m. (the event is closed for an hour lunch break beginning at 12:00 p.m.). Schedule Team D to ensure adequate coverage throughout the day. Team D: 4 people 9 10 11 12 1 2 3 4 5 LQ Next 6 © 2025 SHL and/or its affiliates. All rights reserved.arrow_forwardQ1\ Let X be a topological space and let Int be the interior operation defined on P(X) such that 1₁.Int(X) = X 12. Int (A) CA for each A = P(X) 13. Int (int (A) = Int (A) for each A = P(X) 14. Int (An B) = Int(A) n Int (B) for each A, B = P(X) 15. A is open iff Int (A) = A Show that there exist a unique topology T on X. Q2\ Let X be a topological space and suppose that a nbhd base has been fixed at each x E X and A SCX show that A open iff A contains a basic nbdh of each its point Q3\ Let X be a topological space and and A CX show that A closed set iff every limit point of A is in A. A'S A ACA Q4\ If ẞ is a collection of open sets in X show that ẞ is a base for a topology on X iff for each x E X then ẞx = {BE B|x E B} is a nbhd base at x. Q5\ If A subspace of a topological space X, if x Є A show that V is nbhd of x in A iff V = Un A where U is nbdh of x in X.arrow_forwardMinistry of Higher Education & Scientific Research Babylon University College of Engineering - Al musayab Subject :Engineering Analysis Time: 80 min Date:11-12-2022 Automobile Department 2nd month exam / 1" semester (2022-2023) Note: Answer all questions,all questions have same degree. کورس اول شعر 3 Q1/: Use a Power series to solve the differential equation: y" - xy = 0 Q2/:Evaluate using Cauchy's residue theorem, sinnz²+cosz² dz, where C is z = 3 (z-1)(z-2) Q3/:Evaluate dz (z²+4)2 Where C is the circle /z-i/-2,using Cauchy's residue theorem. Examiner: Dr. Wisam N. Hassanarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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