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

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Question 1103278: A bag contains 100 golf balls, 42 of which are red. Consider drawing a re golf ball to be a "success". If 31 golf balls are drawn with replacement, is the result a binomial distribution?
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Question 1103297: a class of 45 students took an exam. there were 5 a's, 11 b's, 19 c's, 6 d's and the rest failed. if one student is selected at random, what is the probability that the students grade was c or above?
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Question 1103306: Assume that one student in a class of 27 students is randomly selected to win a prize. would it be unusal for that student to win? explain.
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Question 1103303: A coin is tossed five times. Find the probability of getting exactly two heads
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Question 1103302: Find the critical value(z alpha\2) needed to construct an 82% confidence interval
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Question 1103301: A normal population has a mean μ =15 and standard deviation = 4. What is the probability that a randomly chosen value will be greater than 20?
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Question 1103288: A preliminary survey shows that 35% of college students smoke. In a class of 42 students, what is the probability that more than half the students smoke?
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Question 1103356: 6 freshmen, 8 sophomores, 10 juniors, and 9 seniors are eligible to be on a committee. If a committee of 14 students is chosen at random, what is the probability that it is made up of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors?
Even if you don't use the exact problem, it's fine, since I want to learn how to find the probability.

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Question 1103356: 6 freshmen, 8 sophomores, 10 juniors, and 9 seniors are eligible to be on a committee. If a committee of 14 students is chosen at random, what is the probability that it is made up of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors?
Even if you don't use the exact problem, it's fine, since I want to learn how to find the probability.

Click here to see answer by ikleyn(52756) About Me 

Question 1103379: The table represent 2028 residents age 25 years or older in regard to educational attainment and health insurance status.
Find the probability of not having a bachelor degree or not having health insurance? (round to three decimal places as needed)
Educational Attainment............ Has Health Insurance..........Does not have health insurance
Less than High School......................... 208..............................................79......................
High School Graduate ........................ 437 ............................................ 114 ....................
Some College ..................................... 509 ............................................. 84 ....................
Bachelor Degree ................................. 559 .............................................. 38 ....................

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Question 1103368: Write sample space and assume each outcome is equally. A man is shopping for a new patio umbrella. There is a 8 foot and 14 foot model and each available in black, green and rust.
a) He buys a 14 foot gray umbrella. The probability is _____?
b) He buys a 8 foot umbrella. The probability is ______?
c)He buys a black colored umbrella. The probability is ____?

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Question 1103378: How many people would you have to have in a group so that there is a probability of at least 0.7 that at least two of them will have the same birthday?
and
How many people would you have to have in a group so that there is a probability of at least 0.8 that at least two of them will have the same birthday?
please help!!

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Question 1103446: A) We roll a pair of dice. If the sum of the dice is 7, you pay $30. If the sum is not 7, I pay you the number of dollars indicated by the sum of the dice. What is your expected value?
B)What is the price that you should pay to play the game that would make the game fair?

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Question 1103480: Seven people are chosen from 32 men and 26 women. What is the probability that the committee contains at least 6 women?
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Question 1103480: Seven people are chosen from 32 men and 26 women. What is the probability that the committee contains at least 6 women?
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Question 1103538: Suppose that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.05 significance level to test that claim.
Test statistic:
P-value:

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Question 1103534: A and B are two events and P (A) = 0.6, P (B) = 0.7 and P (A or B) = 0.9
Find P (not A and B)

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Question 1103534: A and B are two events and P (A) = 0.6, P (B) = 0.7 and P (A or B) = 0.9
Find P (not A and B)

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Question 1103602: A sample of size n=26 has a sample mean x= 14.8 and a sample standard deviation s=2.6
Construct a 95% confidence interval for the population mean μ.

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Question 1103601: A class consists of 25 students. 15 have blue eyes, 9 have fair hair, and 2 have both blue eyes and fair hair.
ai.) Hence, find the probability that a randomly selected student from the class has fair hair, given that he or she has blue eyes.
aii.) Hence, find the probability that a randomly selected student from the class does not have fair hair, given that he or she doesn't no have blue eyes.

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Question 1103601: A class consists of 25 students. 15 have blue eyes, 9 have fair hair, and 2 have both blue eyes and fair hair.
ai.) Hence, find the probability that a randomly selected student from the class has fair hair, given that he or she has blue eyes.
aii.) Hence, find the probability that a randomly selected student from the class does not have fair hair, given that he or she doesn't no have blue eyes.

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Question 1103610: a man gets a rise of 10% in salary at the end of his first year of service, and further rise of 20% and 25% at the end of the second and third years respectively, the rise in each case being calculated on his salary at the beginning of the year. to what annual percentage increase is this equivalent?
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Question 1103598: In a test there are 3 multiple choice questions, each with 4 choices. A student randomly guesses the answers to each question. Find the probability that the student gets exactly 1 out of the 3 multiple choice questions correct.
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Question 1103585: According to the records of an electric company serving the Boston area, the mean electricityconsumption for all households during winter is 1650 kilowatt-hours per month. Assume that themonthly electricity consumptions during winter by all households in this area have a normal dis-tribution with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours. Thecompany sent a notice to Bill Johnson informing him that about 90% of the households use lesselectricity per month than he does. What is Bill Johnson's monthly electricity consumption?
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Question 1103642: A study by the National Park Service revealed that 42% of vacationers going to the Rocky Mountain region visit Banff National Park, 36% visit Yoho National, and 20% visit both.
a) what is the probability a vacationer will visit one if these parks ?

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Question 1103630: If a card is drawn at random from a standard deck of 52 cards, what is the probability of getting:
a. A head card
b. A queen card
c. A red card
d. A face card
e. A red face card

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Question 1103632: A vacuum cleaner sale man estates that 30% of those who are at home allow him.
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Question 1103683: If you are dealt 7 cards from a shuffled deck of 52 cards, find the probability of getting 4 queens and 3 kings
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Question 1103684: A single card is drawn from a standard 52 card deck. Let D be the even that the card is a diamond and let F be the event that the card drawn is a 6. Find the indicated probability.
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Question 1103673: The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample statistics from one experiment include 490 peas with 144 of them having yellow pods. Find the value of the test statistic.
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Question 1103717: A hair salon claims that 90% of their customers are satisfied. However, Toni who recently started working there found that of 120 customers last week, only 100 were satisfied. If it were true that 90% of customers are satisfied, what is the chance that among 120 customers 100 or fewer would be satisfied? Is there evidence that the percentage of satisfied customers is lower than 90%?
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Question 1103722: Of 100 persons in a company, 70 r married, 80 r college graduates, and 60 r both married and college graduates. Find the probability that if a person is selected at random from this group, the person will be;
A. Married or not a college grad
B. Married and a college grad
C. Married and not a college grad

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Question 1103738: I need a Venn diagram for there are 100 people in a company. 70 are married, 80 are college grads and 60 married and college grads
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Question 1103738: I need a Venn diagram for there are 100 people in a company. 70 are married, 80 are college grads and 60 married and college grads
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1103765: Tiger Woods average drive during the 2009 season was 298 yards with a standard deviation of 12 yards. Assume drives were approximately normally distributed. In a typical round of golf, Tiger plans to use his driver 14 times. About how many times can he expect his drive to land between 290 and 310 yards?
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Question 1103771: Tiger Woods average drive during the 2009 season was 298 yards with a standard deviation of 12 yards. Assume drives were approximately normally distributed. In a typical round of golf, Tiger plans to use his driver 14 times. About how many times can he expect his drive to land between 290 and 310 yards?
Click here to see answer by Boreal(15235) About Me 

Question 1103775: In humans, the average length of a pregnancy is 266 days. Suppose that the distribution of pregnancy lengths can be modeled by a Normal Distribution with standard deviation of 10 days. About what percentage of mothers will deliver their baby within 1 week of their due date?
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Question 1103776: A sample consisting of 922 men and 543 women was asked various questions pertaining to the nation's economy. For a 95% level of confidence, find the margin of error associated with the following samples. (Round your answers to one decimal place.)
(a) the male sample
(b) the female sample
(c) the combined sample
please help, thank you in advance.

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Question 1103767: A fever is any body temperature above the mean temperature, in practice a person is usually not considered to have a significant fever until the temperature is above 100.4 degrees Fahrenheit. Suppose that the body temperatures of healthy adults in a certain population vary according to a Normal distribution with mean 98.24 degrees Fahrenheit and standard deviation 2.16 degrees Fahrenheit. About what percent of the population is considered to have significant fever ? Round your answer to the nearest integer.
Please help!!

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Question 1103854: A box is filled with
7
blue cards,
6
brown cards, and
3
green cards. A card is chosen at random from the box. What is the probability that it is a blue or a green card?
Write your answer as a fraction in simplest form.

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Question 1103839: Elsa has 7 bracelets in her jewelry box. Four are gold and three are silver. If she randomly selects 2 bracelets to wear at a party , find each probability.
a. P ( all gold or all silver )

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Question 1103901: You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 99.9% confident that you estimate is within 5% of the true population proportion. How large of a sample size is required?

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Question 1103877: 3. The four floodgates of a small hydroelectric dam fail and repaired independently of each other. It is known that each floodgate is out of order 4% of the time. What is the probability that floodgate 2&3 are out of order provided that floodgate 1 is also out of order. Also, during a tour of the dam, you are told that the chance of all four floodgates to be out of order is 0.0005. Verify whether this statement is true or false.
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Question 1103925: Tests for adverse reactions to a new drug yielded the results given in the table.
Drug Placebo Total
Headaches 11 7 18
No headaches 73 91 164
Total 84 98 182
Find the test statistic for test of independence.

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Question 1103946: 1. In how many ways can 5 states be selected from the top 10 states with the most murders if the order of the 5 states matters?
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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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