Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter 8.1, Problem 8E
To determine
The factorial or permutations of P ( 33 , 19 )
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Please help me on this following statistics question.CSV DATA:"","CafData","DecafData""1","6",7"2","11",3"3","9",16"4","9",1"5","10",7"6","11",8"7","9",12"8","6",4"9","4",5"10","7",4"11","4",11"12","8",8"13","9",7"14","12",11"15","8",-4"16","10",1"17","",1"18","",1"19","",14
Please help me on this following statistics questionDrop down options for (g) are: (be rejected/not be rejected) & (on average, significantly better/on average, not significantly better)CSV DATA:"","New_Therapy","Standard_Therapy""1","38.6",47.7"2","50.4",49.3"3","49.8",65"4","46.4",42.9"5","45.9",63.2"6","53.5",47.1"7","56.5",66.5"8","46",47.6"9","48.6",66.9"10","44.8",48"11","51",46.1"12","42.8",54.5"13","45.8",50.7"14","41",48.8"15","50.6",62.2"16","39.6",53.9"17","50.1",54.1"18","49",70.1"19","50.2",45.5"20","48.6",48.6"21","45",61.1"22","49.6",53.6"23","38.5",49"24","43.3",53.1"25","43.5",43.6"26","49",59.3"27","48.2",53.5"28","",53"29","",49.4"30","",60.7
Chapter 8 Solutions
Finite Mathematics (11th Edition)
Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - In Exercises 1-12, evaluate the factorial or...
Ch. 8.1 - Prob. 11ECh. 8.1 - In Exercises 1 evaluate the factorial or...Ch. 8.1 - How many different types of homes are available if...Ch. 8.1 - A menu offers a choice of 3 salads, 8 main dishes,...Ch. 8.1 - Prob. 15ECh. 8.1 - In a club with 16 members, how many ways can a...Ch. 8.1 - Define permutation in your own words.Ch. 8.1 - Explain the difference between distinguishable and...Ch. 8.1 - Prob. 19ECh. 8.1 - In Example 6, how many unordered 2-letter subsets...Ch. 8.1 - Prob. 21ECh. 8.1 - A printer has 5 A's, 4 B's, 2 C's, and 2 D's. How...Ch. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Life Sciences Drug Sequencing Twelve drugs have...Ch. 8.1 - Prob. 35ECh. 8.1 - Science Conference At an annual college science...Ch. 8.1 - Social Sciences Social Science Experiment In an...Ch. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Union Elections A chapter of union Local 715 has...Ch. 8.1 - Prob. 41ECh. 8.1 - Programming Music A zydeco band from Louisiana...Ch. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - IP Addresses Every computer or other device...Ch. 8.1 - License Plates For many years, the state of...Ch. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Traveling Salesman In the famous Traveling...Ch. 8.1 - Prob. 55ECh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - In how many ways can a hand of 6 red cards he...Ch. 8.2 - Prob. 13ECh. 8.2 - An economics club has 31 members. (a) If a...Ch. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - In Exercises #x2013;24, decide whether each...Ch. 8.2 - In Exercises 1724, decide whether each exercise...Ch. 8.2 - In Exercises 1724, decide whether each exercise...Ch. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Assembly Line Sampling Five items are to be...Ch. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Social Sciences Legislative Committee A...Ch. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Passwords A certain website requires users to log...Ch. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.3 - A basket contains 7 red apples and 4 yellow...Ch. 8.3 - A basket contains 7 red apples and 4 yellow...Ch. 8.3 - A basket contains 7 red apples and 4 yellow...Ch. 8.3 - A basket contains 7 red apples and yellow apples....Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - Two cards are drawn at random from an ordinary...Ch. 8.3 - Find the probability that the 2-card hand...Ch. 8.3 - Find the probability that the 2-card hand...Ch. 8.3 - Find the probability that the 2-card hand...Ch. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Twenty-six slips of paper are each marked with a...Ch. 8.3 - Prob. 22ECh. 8.3 - Discuss the relative merits of using tree diagrams...Ch. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - For Exercises 25-28, refer to Example 6 in this...Ch. 8.3 - Prob. 27ECh. 8.3 - For Exercises 25- refer to Example 6 in this...Ch. 8.3 - After studying all night for a final exam, a...Ch. 8.3 - Prob. 30ECh. 8.3 - If the letters l, i, t, t, l, and e are chosen at...Ch. 8.3 - If the letters M, i, s. s. i, s, s, i, p, p, and i...Ch. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.3 - Prob. 43ECh. 8.3 - Social Sciences Election Ballots Five names are...Ch. 8.3 - Native American Council At the first meeting of a...Ch. 8.3 - Prob. 46ECh. 8.3 - Education At a conference promoting excellence in...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - General Interest Poker Find the probabilities of...Ch. 8.3 - Prob. 55ECh. 8.3 - Prob. 56ECh. 8.3 - Prob. 57ECh. 8.3 - Prob. 58ECh. 8.3 - Prob. 59ECh. 8.3 - Prob. 60ECh. 8.3 - Prob. 61ECh. 8.3 - Prob. 62ECh. 8.3 - Prob. 63ECh. 8.3 - Prob. 64ECh. 8.3 - Prob. 65ECh. 8.3 - Prob. 66ECh. 8.3 - Prob. 67ECh. 8.3 - Lottery An article in The New York Times...Ch. 8.3 - Prob. 69ECh. 8.3 - Prob. 70ECh. 8.3 - Prob. 71ECh. 8.3 - Prob. 72ECh. 8.3 - Football During the 1988 college football season,...Ch. 8.3 - Prob. 74ECh. 8.3 - Bingo Bingo has become popular in the United...Ch. 8.3 - Prob. 76ECh. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has 5 children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - Suppose that a family has S children. Also,...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled times. Find the probabilities of...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - How do you identify a probability problem that...Ch. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Business and Economics Management The survey...Ch. 8.4 - Business and Economics Management The survey...Ch. 8.4 - Business and Economics Management The survey...Ch. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Quality Control A factory tests a random sample of...Ch. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Pecans Pecan producers blow air through the pecans...Ch. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Life Sciences Breast Cancer A recent study found...Ch. 8.4 - Prob. 37ECh. 8.4 - Life Sciences Breast Cancer A recent study found...Ch. 8.4 - Births of Twins The probability that a birth will...Ch. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - Prob. 49ECh. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Volunteering A recent survey found that 83% of...Ch. 8.4 - Minority Enrollment According to the U.S....Ch. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Prob. 59ECh. 8.5 - For each experiment described below, let x...Ch. 8.5 - For each experiment described below, let x...Ch. 8.5 - Prob. 3ECh. 8.5 - For each experiment described below, let x...Ch. 8.5 - Prob. 5ECh. 8.5 - Draw a histogram for the following, and shade the...Ch. 8.5 - Prob. 7ECh. 8.5 - Draw a histogram for the following, and shade the...Ch. 8.5 - Prob. 9ECh. 8.5 - Find the expected value for each random variable....Ch. 8.5 - Prob. 11ECh. 8.5 - Find the expected value for each random variable....Ch. 8.5 - Prob. 13ECh. 8.5 - Find the expected value for the random variable x...Ch. 8.5 - Prob. 15ECh. 8.5 - Find the expected value for the random variable x...Ch. 8.5 - Prob. 17ECh. 8.5 - Suppose one day Mary brings a 2-headed coin and...Ch. 8.5 - Prob. 19ECh. 8.5 - Prob. 20ECh. 8.5 - Prob. 21ECh. 8.5 - Prob. 22ECh. 8.5 - Prob. 23ECh. 8.5 - Prob. 24ECh. 8.5 - Prob. 25ECh. 8.5 - Prob. 26ECh. 8.5 - Prob. 27ECh. 8.5 - Prob. 28ECh. 8.5 - Prob. 29ECh. 8.5 - Business and Economics Complaints A local used-car...Ch. 8.5 - Payout on Insurance Policies An insurance company...Ch. 8.5 - Device Failure An insurance policy on an...Ch. 8.5 - Prob. 33ECh. 8.5 - Rating Sales Accounts Levi Strauss and Company...Ch. 8.5 - Prob. 35ECh. 8.5 - Life Sciences Animal Offspring In a certain animal...Ch. 8.5 - Ear Infections Otitis media, or middle ear...Ch. 8.5 - Hospitalization Insurance An insurance policy pays...Ch. 8.5 - Prob. 39ECh. 8.5 - Prob. 40ECh. 8.5 - Prob. 41ECh. 8.5 - Prob. 42ECh. 8.5 - Prob. 43ECh. 8.5 - Prob. 44ECh. 8.5 - Prob. 45ECh. 8.5 - Prob. 46ECh. 8.5 - Prob. 47ECh. 8.5 - Prob. 48ECh. 8.5 - Prob. 49ECh. 8.5 - Prob. 50ECh. 8.5 - Prob. 51ECh. 8.5 - Prob. 52ECh. 8.5 - Prob. 53ECh. 8.5 - Prob. 54ECh. 8.5 - The Hog Game In the hug game, each player states...Ch. 8.5 - Prob. 56ECh. 8.5 - Prob. 57ECh. 8 - Refer to the example and find the following. (a)...Ch. 8 - Which policy lends to the lowest expected cost?Ch. 8 - In the example, p1 + p2 + p3 = 0.09 + 0.24 + 0.17...Ch. 8 - Suppose an item to be repaired might need one of n...Ch. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Determine whether each of the following statements...Ch. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Explain under what circumstances a permutation...Ch. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - In Exercises 41 and (a) give a probability...Ch. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - Prob. 61RECh. 8 - Prob. 62RECh. 8 - Prob. 63RECh. 8 - Prob. 64RECh. 8 - Prob. 65RECh. 8 - Prob. 66RECh. 8 - Prob. 67RECh. 8 - Prob. 68RECh. 8 - Prob. 69RECh. 8 - Prob. 70RECh. 8 - Prob. 71RECh. 8 - Prob. 72RECh. 8 - Prob. 73RECh. 8 - Prob. 74RECh. 8 - Contests At one time, game boards for a United...Ch. 8 - Prob. 76RECh. 8 - Prob. 77RECh. 8 - Prob. 78RECh. 8 - Prob. 79RECh. 8 - Prob. 80RECh. 8 - Prob. 81RECh. 8 - Prob. 82RE
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- Please help me answer this following question on statistics The CSV data is below: "","cafe","library" "A",85,85 "B",64,61 "C",180,179 "D",136,135 "E",152,152 "F",174,169 "G",145,145 "H",87,86 "I",121,121 "J",149,146 "K",140,136 "L",159,159 "M",98,96 "N",130,130 "O",56,52 "P",140,141 "Q",76,78 "R",150,148 "S",133,132 "T",125,122 "U",123,122 "V",85,84 "W",84,85 "X",94,96 "Y",156,154 (a) Based on the above data structure, we should use a (2-sample T test (pooled variance)/Paired T (Matched Pairs) Test/2-sample T test (unequal variance)/Leven's Test.) (c) Carry out the appropriate statistical test and find the Test Statistic and P-value. Test Statistic= (use three decimals) Complete the interpretation and compute the P−value. Assuming H0 is (false/uncertain/true), the probability of (observing stronger evidence to support the rejecting the/failing to reject the/observing stronger evidence against the) null hypothesis is ___ (use three decimals). (d) Based on these samples, at the 5% level…arrow_forwardI need help on filling out this following table for statistics. Please help me find the chi squared value as well It has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 714 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. You may round all answers for this problem to the nearest hundredth. To import data to R, copy and paste the R codes below number=c(rep("4-7",421),rep("8-13",154),rep("14-21",88),rep("22_or_more",51)) retirement=c(rep("pre-retirement",248),rep("post-retirement",173),rep("pre-retirement",79),rep("post-retirement",75),rep("pre-retirement",36),rep("post- retirement",52),rep("pre-retirement",11),rep("post-retirement",40)) data=data.frame(number,retirement) table(data) With this information, construct a table of estimated expected values. Use two digits after the…arrow_forward4 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_forward
- The 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_forwardالاسم 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_forward
- Please 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_forward6) 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 $100 from each acre of corn, what planting combination will produce the greatest total profit? a) Fill in the following chart to help organize the information given in the problem: Oats Labor Fertilizer Land Profit b) Write down the question of interest. Corn Available c) Define variables to answer the question of interest. Call these x and y. d) Write the objective function to answer the question of interest. e) List any constraints given in the problem.arrow_forward
- An article appeared in the Journal of Gambling Issues, in which the authors looked at random samples of Ontario residents who (i) have not completed some form of post-secondary education and (ii) have completed some form of post-secondary education. A code of 0 indicates the person does not have a gambling problem, a code of 1 indicates the person does have a gambling problem. The data is found in the accompanying data file. Download.csv file To count the frequencies of 0 and 1 in each sample, use the table(your_dataset_name$ 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_forward2. Symmetry Evaluate the following integrals using symmetry argu- ments. Let R = {(x, y): -a ≤ x ≤ a, −b ≤ y ≤ b}, where a and b are positive real numbers. a. SS Sf xye xye¯(x² + y²) dA R b. C sin (x − y) - dA x² + y² + 1 Rarrow_forward
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