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

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Question 194328: There are four different floor plans, four exterior colors, and an option of 2-garage or 3-garage. How many choices are there for one home?
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Question 194327: Eight balls numbered from 1-8 are placed in a urn. If one ball is selected at random, find the probability that it is not number 4?
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Question 194349: 10!
_____
3!*2!

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Question 194349: 10!
_____
3!*2!

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Question 194351: find the number of permutations. 12 as a base of P and 5 as a base also.
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Question 194348: three cards are drawn in succession and without replacement from a standard deck of 52. how many sets os thre cards are possible?
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Question 194347: 13 pepole are entered in a race. if there is no ties, in how many ways can the first three places come out?
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Question 194354: from a group of 8 boys and 6 girls, only one of each gender can be chosen to attend the conference. in how many ways can the selection be made?
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Question 194383: i don't know if you can really help me with this but i'll give it a go anyway...
Records show that the probability is 0.60 that a stolen car in a certain suburb of NSW will be recovered within one week.
(a) Find the probability that at least 7 of the 10 stolen cars will be recovered.
(b)Write down an expression for the exact probability that 15 of the 25 stolen cars will be recovered and use it to find this probability to 4 decimal places.
For (a), i got two answers from 2 attempts: 0.43670016 and 0.3823. I have no idea how to do (b).
HELP!!!

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Question 194382: A bag contains 14 identical balls 4 of which are red, 5 black and 5 white. Six balls are drawn from the bag.
Find the probability that, 3 are red and at least 2 are white

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Question 194566: 1) For a specific survey, the Gallup Poll reported that 45% of individuals felt they were worse off than 1 year ago. A politician feels that this is too high for her district so she commissions her own survey and finds that, out of 150 randomly selected citizens, 58 feel they are worse off today than 1 year ago, is the politician correct about her district?
I'm using the calculator for z-test of proportion
po:.45
x=58
n=150
but plase help me choose between ≠po, po im not sure which one im supposed to use and how to determinate if i reject Ho or not. Thanks!

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Question 194562: . Suppose a package delivery company purchased 14 trucks at the same time. Five trucks were purchased from manufacturer A, four from B and five from manufacturer C. The cost of maintaining each truck was recorded. The company used ANOVA to test if the mean maintenance cost of the trucks from each manufacturer were equal. To apply the F test, how many degrees of freedom are in the denominator?
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Question 194620: The odds against Lucky Strike winning the third race are 9:4. If Mary places an $8 bet on Lucky Strike and he wins, what are Mary's net winnings?
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Question 194635: The mean height of a certain kind of plant is 171 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 171. State the null hypothesis Ho and the alternative hypothesis H1 that we would use for this test.
Ho:
H1:

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Question 194646: A TV station airs a movie of the day every tuesday and thursday. Their research shows that their suspense movies are viewed on average by 3500, comedies by 4500, dramas by 6000. They decided to buy 100 movies consisting of 15 suspense, 40 comedies, 45 dramas. The movies will be shown two per week for 50 weeks. Find the expected number of viewers on a given movie.

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Question 194584: A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it.
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Question 194718: If there is 28 movies and 12 of those are westerns and 16 are sci-fi what is the probability of picking 3 sci fi.
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Question 194668: a set of test scores is normally distributed with a mean of 74 and a standard deviation of 8. Between what two scores does the middle 95% of the data fall?
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Question 194835: last fall, a gardner planted 74 tulip bulbs. She found that only 62 of the bulbs bloomed in the spring. how many of the bulbs should she plant if she would like at least 95 to bloom?
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Question 194866:
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Question 194890: The following time series data represent the quarterly amounts spent on advertising (in millions of dollars) by a large toy company (read across):
Quarter 1 Quarter 2 Quarter 3 Quarter 4
14.8 14.8 12.6 13.0
15.8 15.1 13.3 14.9
13.3 16.3 16.6 15.7
16.6 14.3 18.3 14.4
17.9 16.2 16.6 16.9
17.7 16.5 19.4
This series of data begins in Quarter 1 of 1996 (i.e., time t=1 corresponds to the first quarter of 1996). Using regression analysis, a linear trend line of the form Tt=13.44 + 0.19t was fit to the data. Using this information, generate a forecast for the total yearly amount of money that will be spent on advertising in 2009.

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Question 194883: An insurance company has an average of 9 claims per week. What is the probability that during the next week exactly 7 will be filed.
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Question 194887: There are two bags each containing red balls and blue balls. Bag A contains 1 red and 4 blue balls. Bag B contains 3 red and 13 blue balls. Lucky Louie says you should always choose Bag B if you are trying to draw a red ball because it has more red balls than Bag A. How do you respond ?

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Question 194879: The last 50 violent crimes committed in Maryville were 9 homicides, 24 robberies, and 17 assaults. What is the empirical probability that the next violent crime committed in Maryville will be an assault?
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Question 194919: How do you solve this problem? Could you please give it to me step by step?
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Question 194910: A couple plan to have exactly four children.
a) construct a tree diagram and list the sample space.
b) Find the probability that the family has at least three boys.

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Question 194889: Five cards are drawn from a deck without replacement. The number of aces is counted. Find the expected number of aces.
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Question 194912: 0
260
356
403
536
0
268
369
428
536
268
396
359
536
162
338
403
536
536
130

(a) Construct a 95 percent confidence interval for the true mean.

(b) Why might normality be an issue here?

(c) What sample size would be needed to obtain an error of ±10 square millimeters with 99 percent confidence?

(d) If this is not a reasonable requirement, suggest one that is.


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Question 194586: An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11. (a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket? State your hypotheses and decision rule. (b) Is this a close decision?
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Question 194987: six balls numbered from 1 to 6 are placed in a urn. if one ball is selected at random, find the probability that it is number 3.
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Question 194999: Find the number of combinaTIONS? 7c5
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Question 195001: Find the number of permutations. 7P6
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Question 195014: in how many ways can you choose 4 cassettes from the 9 you own?
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Question 195013: eleven people are entered in a race. if there are no ties, in how many ways can the first two places come out?
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Question 195010: Please help.
A psychologist interested in political behavior measured the square footage of the desks in the official office of four U.S. governors and of four chief executive officers (CEOs) of major U.S. Corporations. The figures for the governors were 44, 36, 52 and 40 square feet. The figures for the CEOs were 32, 60 48 and 36 square feet. (a) Figure the mean and the standard deviation for the governors and for the CEOs. (b)Explain what you have done to a person who has never had a course in statistics (c) Note the ways in which the means and standard deviations differ, and speculate on the possible meaning of these differences, presuming that they are representative of U.S. Governors and large corporations’ CEOs in general.

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Question 194561: . Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that will have the best fuel economy. The four grades are: regular, below regular, premium, and super premium. The test car made three trial runs on the test track using each of the four grades and the miles per gallon recorded. At the 0.05 level, what is the critical value of F used to test the hypothesis that the miles per gallon for each fuel is the same.
Kilometers per liter
Regular Below Regular Premium Super Premium
39.31 36.69 38.99 40.04
39.87 40.00 40.02 39.89
39.87 41.01 39.99 39.93

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Question 195090: This is not from a text but a question my instructor asked me about. I did not see a solver that could help or any other problem similar. Can someone please help? As for the type of question it is I think it is a combination problem. Am I correct?
Here's the question. . .
Suppose you pack for a trip and you take 5 blouses, 3 pairs of jeans, and 2 pairs of shoes. How many outfits do you have? What kind of problem is this?

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Question 195160: Grace has 16 socks in her sock drawer. 4 socks are white, 6 are black, and 6 are blue. If Grace pulls a sock out of the drawer without looking and it is blue, what is the probability that she will get a blue sock if she picks another sock without looking? Assume that Grace does not put the first blue sock back in the drawer before she picks the second sock.
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Question 195196: Please help.
On a standard measure of hearing ability, the mean is 300 and the standard deviation is 20. Give the Z scores for persons who score (a)340 (b) 310 and (c) 260. Give the raw scores for persons whose Z scores on the test are (d) 2.4 , (e) 1.5, (f) 0 and (g) -4.5.

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Question 195201: Please help.
A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative ability. For the verbal ability test, the mean for people in general is 50 and the standard deviation is 20. For the quantitative ability test, the mean for people in general is 0 and the standard deviation is 5. Which is the person’s stronger ability: verbal or quantitative? Explain your answer to a person who has never had a course in statistics.

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Question 195206: Please help.
You are conducting a survey at a college with 800 students, 50 faculty members, and a 150 administrative staff members. Each of these 1000 individuals has a single listing in the campus phone directory. Suppose you were to cut up the directory and pull out one listing at random to contact. What is the probability it would be (a) a student, (b) a faculty member, (c) an administrative staff member, (d) a faculty or administrative staff member, (e) anyone except an administrative staff member (f) Explain your answers.

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Question 195222: I really need help on this one. Anyone that can help me would be greatly appreciated. Thank you for your help.
A box of chocolates contains 20 identically shaped chocolates. Four of them are filled with jelly, seven are filled with caramel, and nine are filled with nuts. What is the probability that one chocolate chosen at random is filled with caramel or nuts?


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Question 195227: I need help in order to understand this problem. If anyone can help I would be very grateful. Thank you very much for your assistance.

1000 raffle tickets are sold at $3 each. One grand prize of $100 and two consolation prizes of $75 will be awarded. Find Jake’s expectation if he purchases one ticket.
A) -$2.75 B) -$3.00 C) $0.24 D) $2.75 E) $3.00


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Question 195225: I need help i am really stumped. I appreciate anyone who can help. Thank you


How many different three-digit numbers can be formed from the digits 0 through 9 if the first digit must be odd and the last digit must be even?

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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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