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

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Question 495178: a state lottery involves the random selection of six different numbers between 1 and 24. if you select one six number combination, what is the probability that it will be the winning combinations?
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Question 495176: a study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year of graduation. find the probability that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
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Question 495175: in one town, 60% of all voters are democrats. if two voters are randomly selected for a survey, find the probability that they are both democrats.
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Question 495158: What is the probability of picking 2 face cards out of a deck of playing cards if you do not replace the first card after you draw it?
&
What is the probability of picking 2 Clubs out of a deck of playing cards if you do not replace the first card after you draw it?

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Question 495147: Please Help. . A researcher claims that the average age of people who buy lottery tickets is 63. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 5. At  = 0.05 is there enough evidence to reject the researcher’s claim? Show all work.

65 63 46 52 47 80 72 56 66 56
80 60 70 65 70 61 65 71 70 74
79 75 34 49 62 68 73 67 69 60

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Question 495144: A researcher claims that the average age of people who buy lottery tickets is 63. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 5. At  = 0.05 is there enough evidence to reject the researcher’s claim? Show all work.


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Question 495284: I have 8 runners in a race...what is the probability that i will pick 1, 2 and 3rd place
Click here to see answer by Theo(13342) About Me 

Question 495489: A baseball diamon is 90 feet on each side. How far is it from 1st to 3rd base?
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Question 495771: A manufacturer of galvanized chains advertises the load capacity of a 16-foot length of chain has an average of 2650 lbs. and a standard deviation of 520 lbs. If a retailer receives an order of 75 chains, what is the probability that the sample mean will be greater than 2,700 lbs?
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Question 495768: A producer of a juice drink advertises that it contains 10% real fruit juices. A sample of 75 bottles of the drink is analyzed and the percent of real fruit juices is found to be 6.9%. If the true proportion is actually 0.10, what is the probability that the sample percent will be 6.9% or less?

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Question 495815: Assume that the test has 15 questions, each with 6 choices for the
answer. An answer sheet has one answer for each question.

How many different answer sheets are possible?

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Question 495815: Assume that the test has 15 questions, each with 6 choices for the
answer. An answer sheet has one answer for each question.

How many different answer sheets are possible?

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Question 495808: Assume that the test has 15 questions, each with 6 choices for the
answer. An answer sheet has one answer for each question.

How many different answer sheets are possible?

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Question 495810: A producer of a juice drink advertises that it contains 10% real fruit juices. A sample of 75 bottles of the drink is analyzed and the percent of real fruit juices is found to be 6.7%. If the true proportion is actually 0.10, what is the probability that the sample percent will be 6.7% or less?

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Question 495799: A producer of a juice drink advertises that it contains 10% real fruit juices. A sample of 75 bottles of the drink is analyzed and the percent of real fruit juices is found to be 6.9%. If the true proportion is actually 0.10, what is the probability that the sample percent will be 6.9% or less?
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Question 495631: From a group of 12 people I am to form 4 teams of 3 players each. In how many ways can this be done. (This is closely related to the previous problem, but note that the teams are not ordered.
I tried doing (12x11x10x9)/(3x2x1)
and
12!/4!3!
but both are wrong

Click here to see answer by stanbon(75887) About Me 

Question 495566: 4. In a report on high school graduation, it was stated that 85% of high school students graduate. Suppose 3 high school students are randomly selected from different schools.
What is the probability that all graduate?

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Question 495804: What is the most common color of car for students who participated in this survey? Explain how you arrived at your answer.
Click here to see answer by richard1234(7193) About Me 

Question 495961: Please help me solve this problem: "On a particular production line the probability that an item will be defective is 0.1. A quality controller selects, at random, three items from a batch and examines them for defects. If at least 2 of the items are defective then the whole batch is rejected. Determine the probability that a batch is rejected using the Binomial distribution."

Click here to see answer by Theo(13342) About Me 

Question 495964: Please help me solve this problem: "A machine produces components in batches of 20,000,the lengths of which may be considered to be Normally distributed.At the beginning of production ,the machine is set to produce the required mean length of components at 15 mm,and it can then be set to give any one of three standard deviations : 0.06 mm, 0.075 mm, 0.09 mm.It costs $850, $550 and $100 respectively to set these deviations.Any length produced must lie in the range 14.82 mm to 15.18 mm, otherwise it is classed as defective and costs the company $1.Which standard deviation should be used,if the decision is to be made purely on the cost of setting the machine and of the defectives?"

Click here to see answer by Theo(13342) About Me 

Question 496005: a test found that 4 of every ten pizzas ordered from a pizza place received an incorrect order. I ordered 4 pizzas for lunch.
What is the probability that:
a. they are all correct as ordered
b. The first three are correct and the 4th is not
c. all four are incorrect
d. two are correct and two are not (in any order)
e. at least one is incorrect.
Thanks!

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Question 496169: 4-2=
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Question 496173: what is the probability to have 10 girls and 10 boys in a family of 20 children?
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Question 496031: what is the probability that in NEW YORK City,there are at least two people with the same number of hairs on the head.(assume the number of hairs on a persons head to be 1,00,000)?
Click here to see answer by richard1234(7193) About Me 

Question 495993: What percentage of all Math SAT test takers score between 450 and 650? ND (500, 100) Answer:________ (4 sign. figures)
How would you solve in calculator?

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Question 495352: What is the probability of selecting a red card and then an ace without replacement from a standard deck of cards?
Click here to see answer by stanbon(75887) About Me 

Question 496785: I need help with compare type I and type II errors and explain the possible negative effects of each error type in the life sciences
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Question 496758: A bag contains 200items of which 20items are defectives.seven items are selected at random 1 aftert another with replacement.what is the probability of obtaning ...questions number 1)no defective 2)5non defective

from: Probability distribution of binomial problem.

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Question 496744: A marble is drawn at random from a box containing 4 yellow, 8 white, 3 blue marbles. Find the probability of drawing a blue marble?
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Question 496744: A marble is drawn at random from a box containing 4 yellow, 8 white, 3 blue marbles. Find the probability of drawing a blue marble?
Click here to see answer by Panthers_00(2) About Me 

Question 496701: A college offers 3 different psychology courses, 4 different history courses, and 6 different business courses. If a student is required to take one course in each of those 3 subjects, how many different ways are there for the student to fulfill this requirement?

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Question 496644: A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and is used to estimate μ .
1. What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)?

2. What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)?

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Question 496996: A card is dealt from a complete deck of 52 playing cards (no jokers). Use probability rules to find the probability that the card is as stated.
a. A jack and red
b. a jack or red
c. not a real jack
d. a jack and a heart
e. a jack or a heart
f. not a jack of hearts

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Question 496977: A set of 50 data values has a mean of 15 and a variance of 36.
Find the standard score of a data value = 30.


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Question 497073: an internet code consists of one digit followed by one letter. the number zero and the letter o are excluded. how many codes are possible?
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Question 497072: 4.We draw 7 cards from a well shuffled deck of 52 cards.


a) What is the probability that the 7 cards include exactly 3 aces?

b) What is the probability that the 7 cards include exactly 2 queens?

c) What is the probability that the 7 cards include exactly 3 aces,or 2
queens,or both?

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Question 496893: What is the probability of selecting a person with the last two digits of their telephone number being 5 and 8? Hint: look at digits in this way _ _ _-_ _ _-_ _ 58. Is this with or without replacement? Explain.
Click here to see answer by stanbon(75887) About Me 

Question 497385: 7 Pink, 5 Black, 11 Yellow balls are there. Minimum no. atleast to get one black and yellow
Ball?

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Question 497490: For a biology project, you measure the weight in grams and the tail length in millimeters (mm) of a group of mice. The equation of the least-squares line for predicting tail length l from weight w is
l = 22+w
By looking at this equation you can see that the correlation between weight and tail length is








less than zero








greater than zero









Can't tell without seeing the data.

Click here to see answer by richard1234(7193) About Me 

Question 497668: What is the probability of having 60 minutes in the next hour? As a fraction, decimal and precent
Click here to see answer by MrMitchell(3) About Me 

Question 497681: 16 marbles total/
2green and 3 whites. if one is drawn it is not repalce. what is the probability of this.

thanks

Click here to see answer by solver91311(24713) About Me 

Question 497768: In the game of Monopoly, the probability of going to jail in any one turn is
about 4.5%. What is the probability of NOT going to jail?

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Question 497780: In the game of Monopoly, the probability of going to jail in any one turn is about 4.5%. What is the probability of NOT going to jail?
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Question 497752: In the game of Monopoly, the probability of going to jail in any one turn is about 4.5%. What is the probability of NOT going to jail?
Click here to see answer by Alan3354(69443) About Me 

Question 398506: This probability distribution shown below relates to the number of times a person goes to a local coffee shop per day. What is the expected mean (average) number of times a person goes to a local coffee shop per day?
x P(x)
0 0.65
1 0.15
2 0.2





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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, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 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36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 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46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 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