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Question 438620: A lottery machine contains different-colored balls. There are 64 green, 128 yellow, 1 golden, and 3 silver balls. Find the probability of the event:
A yellow ball is drawn and set aside. Then a green ball is drawn.
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Question 438618: A manufacturer inspects 800 batteries and finds that 796 have no defects... there are 25,000 batteries in storage. How many batteries are likely to have no defects?
Click here to see answer by jorel1380(3719)

Question 438588: A telephone company claims that less than 20% of all college students use prepaid phone cards. A random sample of 250 students revealed that 41 of them used prepaid phone cards. Test the company's claim at the 0.05 level of significance.
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Question 438690: The standard IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of all adults. We wish to find the sample size necessary to estimate the mean IQ score of statistics students. Suppose we want to be 90 % confident that our sample mean is within 2 IQ points of the true mean. Assume then that sigma is 15 and determine the required sample size.
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Question 438470: Please help....I've been trying to figure this problem out all afternoon and I have reached my limit.
The National Council of Small Businesses is interested in the proportion of small businesses that declared Chapter 11 bankruptcy in a certain year. Let p be the proportion of small businesses that declared Chapter 11 bankruptcy.
a. If no preliminary sample is taken, how large a sample is needed to be 95% sure that sample proportion will be within 10% of p?

b. In a preliminary random sample of 38 businesses, it was found that six had declared Chapter 11. How many more small businesses should be included to be 95% sure that the sample proportion is within 10% of p?

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Question 438548: Jorge is taking a multiple choice test. He decided to guess on the first two problems. On each question there are 4 answer choices. What is the probability that he answers the first question correctly and the second question incorrectly?
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Question 438466: Find the standard z- score that corresponds to the following:
80% of the distribution is below(to the left of ) this value

A bag of colored blocks contains the follwowing assortment of colors: red(9), blue (24), orange (17), purple (6), green (0), and yellow (24). Construct the probability distribution for x.

Construct a scatterpoint for the (x,y) values below, and answer the following questions.
x 1,2,3,4,5
y -0.5, - 1.0, -1.5, -2.0, -2.5
What would be the slope of this regression line?
Would the correlation between x and y be positive or negative?
How would you interpret these data in terms of linear regression?
How many green elements are required to make this a legitimate probability distribution if there are a total of 50 elements in this sample?
x red blue orange brown green
P(x) 0.14 0.16 0.28 0.24
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Question 438767: the probability that a component is acceptable is 0.93.the component are picked at random,what is the probability that atleast 9 are acceptable.
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Question 438762: if there are 6 multiple choice questions each with four possible answers what is the probability of answering less than two correctly?
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Question 438815: Assume that the weights of all packages of a certain brand of cookies are normally distributed with a mean of 26 oz and a standard deviation of .2 ounces. Find the probability that that the mean weight, xbar of a random sample of 50packages of this brand of cookie will be between 25.6 and 26.4 oz.
Mean= 26
St. Dev.= .2
n=50
26.4-26/ .2/sq rt 50= 0.4/0.028284271
25.6-26/ .2/sqrt 50= -0.4/0.028284271
I am getting a postive and negative z value which doesnt exist. Please help= )
Click here to see answer by stanbon(75887)

Question 438811: 13 Chevrolet Corvettes were crash tested under a variety of conditions that simulate typical collisions. The mean repair cost for this sample of Corvettes was $16,540. The repair cost standard deviation for this sample was $6,782. Repair Costs for corvettes are believed to have a normal distribution. Construct a 99% confidence interval for the mean repair cost of all Corvettes involved in crashes.
mean= 16,540
St dev= 6,782
n=13
(2.578)(6,782/sq rt13)= 4849.188005
The answer is coming out wrong... can you tell me where i have gone wrong?
Thank you
Click here to see answer by stanbon(75887)

Question 438819: The manager of a local gym has determined that the length of time members spend at the gym is a normally distributed variable with a mean of 80 minutes and a standard deviation of 20 minutes.
What proportion of members spend between 80 and 100 minutes at the gym? Use the standard normal distribution tables on p564 of your Wegner textbook.
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Question 438871: 4. The age of a group of attendees at a senior citizen lunch are summarized in the frequency distribution
below. Find the mean height. Round your answer to one decimal place.
Age Frequency
70-71 1
72-73 6
74-75 10
76-77 12
78-79 8
80-81 6
82-83 1
a. 13.5 b. 78.2 c. 74.7 d. 76.4 e. None of the above
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Question 438884: In how many ways can a committee of three men and four women be formed from a group of 8 men and 8 women?
a. 564480 b. 3920 c. 560 d. 70 e. None of the abo
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Question 438883: what is the smallest sample size needed to estimate the mean number of days lost due to workplace injuries with error no more than 1 day and 95% confidence, given that the standard deviation is 0.5?
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Question 438855: A true-false test has 38 questions. If a passing grade on this test is X=24 (or more) correct, what is the probability of obtaining a passing grade just by guessing?
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Question 438888: The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 13. Find the standard deviation for the number of seeds germinating in each batch.
a. 1.587 b. 1.652 c. 1.632 d. 1.568 e. None of the above
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Question 438879: An ice chest contains 5 cans of apple juice, 4 cans of grape juice, 7 cans of orange juice, and 3 cans of
pineapple juice. Suppose that you reach into the container and randomly select three cans in succession,
without replacement. Find the probability of selecting no grape juice.
a.
455/
969
b.
375/
646
c.
2730/
6859
d.
4/
969
e. None of the above
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Question 438896: A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. If all answers are random guesses, estimate the probability of getting at least 20% correct.
a. 0.1492 b. 0.0901 c. 0.8508 d. 0.3508 e. None of the above
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Question 438890: If Z is a standard normal variable, find the probability that Z is greater than -1.82.
a. 0.9656 b. 0.4656 c. 0.0344 d. -0.0344 e. None of the above
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Question 438877: You are playing roulette at a casino in the United States. The wheel has 18 red slots, 18 black slots, and
two green slots. In 4 spins of the wheel, what is the probability of the wheel landing on at least one red
slot?
a. 0.9375 b. 0.0625 c. 0.9048 d. 0.0953 e. None of the above
Click here to see answer by ewatrrr(24785)

Question 438874: The distribution of Master�s degrees conferred by a university is listed in the table (assume that a student majors in only one subject). What is the probability that a randomly selected student with a Master�s
degree majored in English or Mathematics? Round your answer to one decimal place.
Major Frequency
Mathematics 226
English 205
Engineering 86
Business 176
Education 222
a. 0.529 b. 0.247 c. 0.224 d. 0.471 e. None of the above
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Question 438873: In 1999 the stock market took big swings up and down. A survey of 978 investors asked how often they tracked their portfolio. The table shows the investor responses. What is the probability that an adult investor tracks his or her portfolio daily?
How Frequently? Response
Daily 220
Weekly 280
Monthly 274
Couple of times/year 141
Don�t track 63
a. 0.225 b. 0.286 c. 0.28 d. 0.144 e. None of the above
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Question 438940: A test is composed of six multiple choice questions where each question has 4 choices. If the answer choices for each question are equally likely, find the probability of answering less than 2 questions correctly.
Click here to see answer by solver91311(24713)

Question 438961: 4. The age of a group of attendees at a senior citizen lunch are summarized in the frequency distribution
below. Find the mean age. Round your answer to one decimal place.
Age Frequency
70-71 1
72-73 6
74-75 10
76-77 12
78-79 8
80-81 6
82-83 1
a. 13.5 b. 78.2 c. 74.7 d. 76.4 e. None of the above

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Question 438905: If no preliminary sample is taken to estimate p, how large a sample is necessary to be 95% sure that a point estimate p hat will be with in a distance of 0.08 from p?
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Question 438994: usinging the binomial theorem how do i expand (t+3)^6
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Question 438885: In a batch of 8000 clock radios 9% are defective. A sample of 15 clock radios is randomly selected without replacement from the 8000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?
a. 0.0243 b. 0.0667 c. 0.757 d. 0.0900 e. None of the above
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Question 439056: the class average on a test is 85, with a standard deviation of 3.8, find the probability that a student received at least 76 on the test
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Question 439058: what is your score in a test if there was 40 questions and 4 were wrong
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Question 439036: A factory produces its entire output with three machines. Machines I, II, and III produce 50%, 30%, and 20% of the output, but 4%, 2%, and 4% of their outputs are defective, respectively. What fraction of the total output is defective?
Click here to see answer by jorel1380(3719)

Question 439115: A telemarketer with B2B Communications has a 20 percent historical probability of making a sale during a shift where 100 calls were made. Assign a random variable x, where the value of x is equal to the number of sales made during the shift. Describe the probability distribution of x, and calculate the probability of the employee making exactly 28 sales during a 100-call shift. What is the probability that the employee will make less than 28 sales during the 100-call shift? What is the probability that the employee will make 28 or more sales during the 100-call shift?

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Question 439123: Determine the number of permutations of the letters of the word "SELECTION"
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Question 439060: how many different possibilities are there at guessing correctly how many puppies a dog with have and how many will be boys and how many will be girls if the maximum number of puppies possible are 14?
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Question 439130: Determine the odds against the spinner landing on red.

There are 8 slots, 2 blue, 2 yellow, 1 green, and 3 red.
Show all work.
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Question 439160: Find the value of z such that approximately 40.15% of the distribution lies between it and the mean.
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Question 439161: X has a normal distribution with a mean of 80.0 and standard deviation of 3.5. Find the following probabilites:
a) P(x<77.0)
b) P(78.0<0x<85.0)
c) P(x>90.0)
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Question 439248: What is the probability that a randomly selected programmer�s age is at least 40? At least 30? I am using a ti-83. It is a stat problem.
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Question 439237: In a binomial dist b( 9, 1/3 ), the SD is equal to
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Question 439309: Please help! This is the last question of the last week of this class. Thank you for your help. John Isaac, Inc., a designer and installer of industrial signs, employs 60 people. The company recorded the type of the most recent visit to a doctor by each employee. A national assessment conducted in 2008 found that 53 percent of all physician visits were to primary care physicians, 19 percent to medical specialists, 17 percent to surgical specialists, and 11 percent to emergency departments. Test at the .01 significance level if Isaac employees differ significantly from the survey distribution.
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Question 439326: You have 8 dogs and 5 cats,what is the probability of getting 2 dogs and 2 cats.
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Question 439321: Question: Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost.
More than 11 pounds

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Question 439361: a password consits of four letters followed by THREE-DIGIT NUMBER. HOW MANY PASSWORDS Are possible if there are no restrictions. 58P₂=
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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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