Questions on Algebra: Probability and statistics answered by real tutors!

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Question 421808: A multiple choice exam has ten questions and each question had 4 possible answers. In each case only 1 of the 4 possibilities is correct. Billy fills out an answer sheet by simply guessing without even reading the questions. What is the probability that he will get 100% on the exam? What is the probability that he will get 90% on the exam? What is the probability that he will get at leat an 80% on the exam?
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Question 421864: . Application of addition law: Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course. It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and accounting.
a. Find P(S).
b. Find the probability that a student is in accounting and is also in statistics.
c. A student is randomly selected, and it is found that the student is enrolled in accounting. What is the probability that this student is also enrolled in statistics?
d. A student is randomly selected, and it is found that the student is enrolled in statistics. What is the probability that this student is also enrolled in accounting?
e. A student is randomly selected, what is the probability that the student is enrolled in either accounting or statistics or both?
f. From this information, what can be concluded about two events?

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Question 421881: A six faced dice has two red faced, three blue and one green face. It is thrown twice. What is the chance that red face appear in both the throws?
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Question 421818: A dry cleaning business offers a pick-up and delivery service for a 10 percent surcharge. Management believes 60 percent of customers will take advantage of this service. They are also considering offering customers the option of opening an account and receiving monthly bills. They believe 60 percent of their customers ( regardless of whether or not they use the pick-up service ) will use the account service. If the two services are introduced to the market, what is the probability that a customer uses both services? ii.if the two services are introduced to the market, what is the probability that a customer uses only one of these services? iii.if the two services are introduced to the market, what is the probability that a customer uses neither of these services?






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Question 421858: A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. Find the prob. of getting at most 15 correct.
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Question 421887: If you are dealt 6 cards out of a shuffled deck of 52, find the probability of getting dealt 3 queens and 3 kings
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Question 421884: A survey of 1100 people in a certain city owns 860 microwave ovens 740 own DVD players and 590 own either a microwave oven AND a DVD player.
a. how many people in the survey own either a microwave oven or a DVD player
b. how many own neither a microwave oven nor a DVD player
c. How many own a microwave oven and do not own a DVD player

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Question 421795: There are 240 total red and blue marbles. If 30 a randomly selected, what is the probability that all will be red?
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Question 421911: How to present the solution of the following problem on Excel spread sheet as well as on TI-84 calculator?
(I shall be thankfull to you.I am not much expert in using Excel and calculator.I need this for my class presentation. I need help,please.)
Q.
The ratio of boys to girls in Mr Peter'class is 3:4. On the last day of exam 3/4 of the boys passed the exam and 4/5 of the girls passed. If a student's exam paper is chosen at random, what is the probability that it has a passing grade?

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Question 422001: A group is to be picked from 6 seniors, 4 juniors, and 2 sophomores. if the committe of 3 is to be formed what is the probability that 1 of each will be selected?
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Question 422060: you draw one card at a random from a regular desck of 52 cards(nojokers). what is the chance of drawing: a prime number
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Question 422103: The question is, What is the probability that a randomly selected student is either a male student or an international student. See chart below for numbers
Female Male
US Resident 435 395
International 57 63

I can solve these when there is only one choice (i.e either male or international) but I'm having a hard time understanding when I have to find two things.

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Question 422109: when gregor mendel conducted his famous genetics experiments with plants,one example of 1064 offspring consisted of 787 plants with long stems and 277 plants with short stems. mendel theorized that 25% of the offspring plants would have short stems
a) if mendel's theory is correct ,find the mean and standard deviation for the numbers of plants with short stems in such group of 1064 offspring plants.
b) are the actual results unusual? what do the actual results suggest about mendel's theory?
please help

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Question 422094: there is 100 kids in class taking the test 80% is average for the boys 70% is average for the girls the average of the class is 76% how many girls are in the class
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Question 422263: The probability that a couple will have n baby boys in a row is given by the formula (1/2)to the n. Find the probability that a couple will have four baby boys in a row.
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Question 422263: The probability that a couple will have n baby boys in a row is given by the formula (1/2)to the n. Find the probability that a couple will have four baby boys in a row.
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Question 422261: From among 80 light bulbs, 10 are defective. How many samples of 8 have at least 1 defective light bulb?
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Question 422363: Give an example of something having these distribution shapes: (a) bimodal,
(b) approximately rectangular, and (c) positively skewed. Do not use an example
given in this book or in class.

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Question 422349: In a research study, you measured the weights of all learners in a college freshman class. The normally distributed set of scores for the population of learners has a mean of 120 pounds and a standard deviation of 8 pounds. (a) If you randomly sampled one score from the population, what is the probability it would be equal to or greater than a score of 134? (b) How would you briefly explain the result obtained to another person without your statistical knowledge regarding probability?
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Question 422374: A card is randomly selected from a sstandard deck of 52 cards. Find the probability of drawing the given card:
1.)A kind and a diamond
2.)A 6 and a face card
3.)not a heart

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Question 422347: given that Z is a standard normal variable, the variance of Z is?
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Question 422396: At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics.
If a business student is selected at random, what is the probability that the student is either enrolled in accounting or statistics, but not both?

ii. Given the same problem shown above, if a business student is selected at random, what is the probability that the student is enrolled in accounting?

iii.Given the same problem shown above, if a business student is selected at random ,what is the probability that the student is enrolled in both statistics and accounting?

IV. Given the same problem shown above, if a business student is selected at random and found to be enrolled in statistics, what is the probability that the student is also enrolled in accounting?

V. Given the same problem shown above, if a business student is selected at random,what is the probability that the student is enrolled in neither accounting nor statistics?
VI.Given the same problem shown above, if a business student is selected at random, what is the probability that the student is not enrolled in statistics?

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Question 422396: At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics.
If a business student is selected at random, what is the probability that the student is either enrolled in accounting or statistics, but not both?

ii. Given the same problem shown above, if a business student is selected at random, what is the probability that the student is enrolled in accounting?

iii.Given the same problem shown above, if a business student is selected at random ,what is the probability that the student is enrolled in both statistics and accounting?

IV. Given the same problem shown above, if a business student is selected at random and found to be enrolled in statistics, what is the probability that the student is also enrolled in accounting?

V. Given the same problem shown above, if a business student is selected at random,what is the probability that the student is enrolled in neither accounting nor statistics?
VI.Given the same problem shown above, if a business student is selected at random, what is the probability that the student is not enrolled in statistics?

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Question 422384: If the random variable z is the standard normal score, is it true that P(-3 < z < 3) could easily be approximated without referring to a table? Why or why not?
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Question 422385: Find the value of z such that approximately 16.28% of the distribution lies between it and the mean.
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Question 422407: A package contains 10 pens, three of which are defective. If two pens are selected at random, find the probability of getting one defective pen?
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Question 422454: each of the numbers 0 through 9 is written on a piece of papaer and all of the pieces of paper are placed in a hat. one number is selected at random. determine the probability that the number selected is even
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Question 422448: If 60% of the population has brown eyes and we randomly select 12 people, what is the probability that exactly 4 of them have brown eyes
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Question 422481: Four coins are tossed. What is the probaility of tossing all heads?
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Question 422485: A card is chosen at random from a deck of 52 cards. Its is not replaced and a second card is chosen.What is the probability of getting a jack then an eight?
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Question 422488: One letter is randomly selected from the word PRIME and one letter is randomly slected from the word MATH. What is the proability that both letters slected are vowels?
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Question 422542: From an inventory of 48 new cars being shipped to local dealerships, corporate
reports indicate that 12 have defective radios installed. What is the probability that out of 8 new cars it just received, a dealership would discover, after testing, that exactly half of the cars have defective radios?

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Question 422539: Suppose you are forming a team of 8 executives from different departments within your company. Your company has a total of 30 executives, and 10 of these people are from the finance department. If members of the team are to be selected at random, what is the probability that the team will contain 2 executives from the finance department?

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Question 422716: How do I do a Tree Diagram for the following solution
A city council consists of 7 males and 4 females. Two counsilors are selected at random to represent the city at an Elton John concert. what is the probability that
A. both councilors are male?
B. one councilor is a male and one a female?
C. at least one councilor is a female?

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Question 422785: Responses to a CNN poll to a survey questionnaire are broken down according to employment status and the sample results are shown below. At the 0.10 significance level, test the claim that the response to the questionnaire and employment status are independent.
Yes No Undecided
Employed 30 15 5

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Question 422784: A company manager wishes to test a union leader’s claim that absences on different week days with the same frequency. To test her claim at the 0.05 significance level she collected the following sample data.
Day Monday Tuesday Wednesday Thursday Friday
Absences 37 15 12 23 43
Does the data support her claim?

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Question 422763: a 95% confidence interval for the mean of a population is given as (3.0, 5.0). If a sample size of 100 was used to obtain this interval what was the standard deviation used in the calculation?
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Question 422856: how to show details of reaching the answer for
a Normal distribution with a mean of 8 and a standard deviation of 6, the value -7 has a z value of ? I believe the correct anser if -2.5 but don't know how I achieved it.

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Question 422834: You take the bus to school 5 days per week. The waiting time for the next bus to arrive at your bus stop is normally distributed with a mean of 20 minutes and standard deviation of 5 minutes. Assume that the waiting times are independent from day to day. What is the probability that you wait more than 15 minutes for your bus to arrive on 3 of the 5 days next week?
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Question 422762: A report states that the average credit card debt for college seniors is $3262. The student senate at a particular college feels their seniors have a smaller debt. Their study of 50 randomly selected seniors found an average debt of $2995 with a standard deviation of $1100. Use a hypothesis test with a=.05 to determine if we can believe the students to be correct.
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Question 422891: If the probability of a person catching a cold during cold and flu season is .4, 10 people are chosen at random, what is the probability that exactly four of them will catch a cold?
I know the answer but I have no idea how to solve the problem!
thanks!

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Question 422870: the digits 1, 2, 3, 4, 5, and 7 are randomly arranged to form a six-digit number. Find the probability that the first and last digits are both even.
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Question 422940: Essay. According to the U. S. Census Bureau, the total 2008 U.S. population was 303,824,640. The chart below summarizes the 2008 population for five U.S. States.
State 2008 Population
Missouri 5,911,605
Pennsylvania 12,448,279
Tennessee 6,214,888
Utah 2,736,424
Washington 6,549,224


SOURCE: U. S. Census Bureau

What is the probability that a randomly selected U.S. resident did not live in Utah? Show step by step work. Round solution to the nearest thousandth.


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Question 422984: determine the cumulative distribution function of a binomial random variable with n=3 and p=1/4
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Question 422965: A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 22. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(a) x is more than 60

(b) x is less than 110

(c) x is between 60 and 110

(d) x is greater than 140 (borderline diabetes starts at 140)

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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