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

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Question 525390: I need some help with these questions that I do not understand. Please help!
A) Find the binomial probability P(x=5), where (n=13) and p=0.70.
B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation.
C) How would you find the normal approximation to the binomial probability P(x=5) in part A? Please show how you would caculate u ando in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the caculations.

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Question 525310: The Middletown Police department gives a standardized test to potential captains. The mean score is 170 with a standard deviation of 20 points. A score of 200 points is required to pass. Approximately what percentage of those who take the test will pass?
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Question 525315: The distribution of actual weights of 8oz. wedges of cheddar cheese produced by a certain company is normal with mean 8.1 ounces and standard deviation 0.1 ounces. If a sample of five of these cheese wedges is selected. What is the probability that their average weight is less than 8oz?
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Question 525507: A survey by a college revealed 60 percent of its students made C or more in Introduction to Algebra course last year. Two students are selected at random. What is the probability both made C or more last year?
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Question 525638: A rental agent claims that the mean monthly rent, , for apartments on the east side of town is less than . A random sample of monthly rents for apartments on the east side has a mean of , with a standard deviation of . If we assume that the monthly rents for apartments on the east side are normally distributed, is there enough evidence to conclude, at the level of significance, that is less than ?
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Question 525639: A rental agent claims that the mean monthly rent, , for apartments on the east side of town is less than $750 . A random sample of 16 monthly rents for apartments on the east side has a mean of $748 , with a standard deviation of $22. If we assume that the monthly rents for apartments on the east side are normally distributed, is there enough evidence to conclude, at the 0.05 level of significance, that is less than $750 ?
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Question 525593: in a pizza restaurant, 95% of the customers order pizza, 65% of the customers order pizza and a salad. Given that a customer ordered pizza, what is the probability that he/she order salad?
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Question 525651: 1. Show all work. A disc jockey has 8 songs to play. Six are slow songs, and two are fast songs. Each song is to be played only once. In how many ways can the disc jockey play the 8 songs if
The songs can be played in any order.
The first song must be a slow song and the last song must be a slow song.
The first two songs must be fast songs.
2.Show all work. Mary purchased a package of 9 different plants, but she only needed 6 plants for planting. In how many ways can she select the 6 plants from the package to be planted?
3. A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3, 6, or 9. Repetition of digits is NOT permitted. Each letter must be an A, B or C.
Use the counting principle to determine the number of points in the sample space.
Construct a tree diagram to represent this situation.
List the sample space.
Determine the exact probability of creating a mini license plate with a B. Give solution exactly in reduced fraction form.

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Question 525655: what times what gives you 9810 but adds or subtracts to give you 19
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Question 525861: wondering why my question has not been answered cause my homework is due tomorrow?
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Question 525979: In San Francisco 30% of workers take public transportation daily ( USA Today, Decmber 21, 2005).
a. In a sample of 10 workers, what is the probability that exactly three workers take public transportation daily?
b. In a sample of 10 workers, what is the probability that at least three workers take public transportation daily?

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Question 526066: the probability the sum of the numbers shown on the dice is a 7 0r 8 ?
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Question 526066: the probability the sum of the numbers shown on the dice is a 7 0r 8 ?
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Question 526086: How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6 and 7 if repetition of the digits is not allowed? For example, there can not be 2 7’s
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Question 526085: The future United State lottery will involve the random selection of six (6) different numbers between 1 and 22. If you select one six number combination, what is the probability that your single lottery ticket will win the lottery?
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Question 526080: Mrs. Donovan is the coach of a middle school golf team that has 10 golfers. There are 2 sixth graders, 4 seventh graders, and 4 eighth graders on the team. Mrs. Donovan will randomly select two team captains.
What is the probability that both captains will be eighth graders?

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Question 526055: In a Nevada casino, when you place a $1 bet on the "pass line", in the game of craps, there is a 244/495 probability that you will win $1 and the complementary probability that you will lose $1. What is your expected value; i.e., in the long run, how much do you lose for each dollar bet?
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Question 526087: Police Department reports that the probabilities that 0, 1, 2, 3 and 4 car thefts will be reported in any given day are 0.091, 0.218, 0.261, 0.209 and 0.125, respectively. Determine if this is a probability distribution. If not, identify the requirement that is not satisfied
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Question 526260: Seven monkeys are arranged in a row for a poster picture. How many ways can this be arranged?
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Question 526269: Please help me solve this problem: Suppose thet IQ scores have a bell-shaped distribution with a mean of 101 and a standard deviation of 15. Using the empirical rule, what percentage of IQ scores are between 86 and 116?
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Question 526262: Two-digit numbers are be made up the digits 2, 3, and 4. How many such numbers can be made if repetition of digits is allowed?
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Question 526308: The weight of a medium size orange selected at random from a large bin of oranges at the local supermarket is a random variable with mean m = 12 ounces and standard deviation s = 1.2 ounces. Suppose we independently pick two oranges at random from the bin. The expected value of the sum of the weights of the two oranges, in pounds (1 pound = 16 ounces) is:
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Question 526309: As a promotion, a certain car dealer gave away a free watch to anyone who visited his dealership and test drove a car. But 5% of the watches were defective.
a. Find the probability that among 50 such watches selected at random, exactly one is defective.
b. Find the probability that among 50 such watches selected at random, none is defective.
c. Find the probability that among 50 such watches selected at random, at least one is defective.

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Question 526304: The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almanac, 2009):
Assume that the population standard deviation on each part of the test is σ = 100.
What is the probability a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test? Round your answer to four decimal places.
What is the probability a random sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test? Round your answer to three decimal places.

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Question 526332: A manager of a grocery store took a random sample of 100 customers. Their average checkout time is 3 minutes. The standard deviation of the population is 2 minutes. What is the probability that the average time is greater than 3.6 minutes? Less than 3.4 minutes?
I would like to identify a z score for each of the questions, but I don't have a population mean? Can I solve this without that number?

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Question 526332: A manager of a grocery store took a random sample of 100 customers. Their average checkout time is 3 minutes. The standard deviation of the population is 2 minutes. What is the probability that the average time is greater than 3.6 minutes? Less than 3.4 minutes?
I would like to identify a z score for each of the questions, but I don't have a population mean? Can I solve this without that number?

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Question 526315: Richard has been given a 6 question multiple choice quiz in hi history clad. Each question has f e answer of which only one is correct. Since Richard has not attended the class recently he doesn't know any of the answers. Assuming that Richard guesses on all 6 questions find the probability that he will answer all the questions right. Round your answer to nearest hundredth
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Question 526355: The average math SAT score is 513 with a standard deviation of 113. A particular high school claims that its students have unusually high math SAT scores.A random sample of 45 students from this school was selected and the mean math SAT score was 557. Is the high school justified in its claim?
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Question 526378: 3x - 4= 2
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Question 526386: -11<_ 1 + 3n
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Question 526387: 9-2g< -7
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Question 526401: A binomial random variable has a mean equal to 181 and a standard deviation of 6.
Find the value of n.
Find the value of p

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Question 526489: A college believes that 28% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 6 percentage points with 95% confidence?
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Question 526459: What is the probability that out of 23 numbers that exactly two people will choose an even number? The number chosen by each person does not have to be the same number,just one of the 11 even numbers. Out of the 23 numbers, 11 are even and 12 are odd.
11 even are 2,4,6,8,10,12,14,16,18,20 and 22.

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Question 526469: As a condition of employment, Fashion Industries applicants must pass a drug test. Of the last 220 applicants 14 failed the test. Develop a 99% confidence interval for the portion of applicants that fail the test. Would it be reasonable to conclude that more than 10% of the applicants are now failing the test?
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Question 526538: 4. Complete the following if the horse Seabiscuit travels at a constant speed of 40 miles per hour:
a. How many seconds will it take Seabiscuit to run a race of 6 furlongs?
(NOTE: 1 furlong = )
b. Express Seabiscuit’s rate in feet per second.

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Question 526542: 10. Tova used to spend 40 minutes per day jogging and covered a distance equivalent to the distance from Rue de Vache to LaPointe 73 times during the year. The distance is 20 miles. What is her speed in miles per hour? … Tova now spends 45 minutes per day jogging and has sped up 1 mile per hour. How many times would she run a distance equivalent to the distance from Rue de Vache to LaPointe?
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Question 525039: A company assumes that 0.5% of the paychecks for a month were calculated incorrectly. The company has 350 employees and examined the payroll records from one month.
(a) Define the variable of interest.
(b) State clearly the appropriate distribution and its parameters.
(c) Find the probability of finding one paycheck that was calculated incorrectly.
(d) In a given month, how many employees payroll would you expect to be calculated incorrectly?

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Question 527140: 200 people have the flu. 80 admitted to the hospital and 20 of them die. What is the percentage?

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Question 527163: Suppose you earned 100 points on an exam. Under which of the following conditions did you earn the best grade?
When:
a. μ = 80 and σ = 10
b. μ = 80 and σ = 5
c. μ = 105 and σ = 10
d. μ = 105 and σ = 5
Make sure to justify your response with one to two sentences.

Click here to see answer by oberobic(2304) About Me 
Question 527163: Suppose you earned 100 points on an exam. Under which of the following conditions did you earn the best grade?
When:
a. μ = 80 and σ = 10
b. μ = 80 and σ = 5
c. μ = 105 and σ = 10
d. μ = 105 and σ = 5
Make sure to justify your response with one to two sentences.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 527129: A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had answer choices – a,b,c,d,e – and only one correct answer. What is the probability that she answered neither of the problems correctly?
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Question 527267: if 5 apples in a barrel of 25 apples are rotton, what is the expected number of rotton apples in a sample of 2 apples?
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Question 527249: A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 18 minutes. How large a sample should she take to estimate the mean time to within 4 minutes with 97% confidence?
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Question 527272: the ods in favor of a horse winning a race are posted as 8:7. find the probability that the horse will lose the race
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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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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