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

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Question 956993: A popular morning radio show offers free entrance tickets to the local boat show to the sixth caller who rings the station with the correct answer to a question. Assume that all calls are independent and have probability p = 0.7 of being correct. Let X be the random variable that counts the number of calls needed to find the winner.
Questions:
(a) What is the probability mass function of X?
(b) What is the probability of finding a winner on the 12th call?
(c) What is the probability that it will take more than ten calls to find a winner?

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Question 956992: Nicola, Stephanie, Kathryn, and William, in that order, take turns at rolling a fair die until one of them throws a 6.
What is the probability that William is the first to throw a 6?

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Question 957151: A particular new car model is available with 5 choices of color, 3 choices of transmission, 4 types of interior, and 2 types of engine. How many different variations of this model are possible?
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Question 957168: X -2 -1 0 1 2
P(X) 0.19 0.20 -0.24 0.57 0.28
A. a probability is negative.
B. the probability values do not add to 1.
C. values of the variable are negative.
D. the probability values are not discrete.

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Question 957159: If the probability of school being cancelled due to a ice storm is .08, what is the probability of school not being cancelled?
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Question 957192: What is the number for x if 33x - 17 = 181
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Question 957048: find a formula for the probability distribution of the random variable x representing the number on a tag drawn at random from a box containing 12 tags 1 to 12. what is probability the number drawn is less than 4?
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Question 957038: What is the probability that x is between $47 and $51?
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Question 957023: There's a probability of 0.65 that a major storm will hit any given year. What's the probability that a storm will hit 4 years in a row?
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Question 957269: For the city of Quahog, R.I., assume the the mean household income is normally distributed with μ = $46,000 and σ = $5,060. If 35 households are randomly selected, determine the probability that their mean income is greater than $45,828.94.
Click here to see answer by stanbon(75887) About Me 

Question 957199: Construct a stem and leaf display for given data.
4) The ages of the instructors at a local college are given below.
36 46 43 58
61 38 42 49
57 34 35 46
62 45 49 55

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Question 957190: If 15 girls and 14 boys are nominated for prom king and queen, how many different ways can a king and queen be chosen?
Click here to see answer by Alan3354(69443) About Me 

Question 957310: You draw 25 different slips out of the box and do not replace them. What is the
probability that all 25 slips have the name of a restaurant in North Dakota?
Write down the numerical probability and explain your answer.


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Question 957339: A single fair die is rolled. Find the probability of getting an odd number.
Please solve and show work. Thank you.

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Question 957194: Sample values from a normal population is given here:
65 71 81 72 72 51 65 74 58 65 83 64 55 60 67 67 69 98
Construct a 99% confidence interval on the mean of the population
PLEASE, PLEASE HELP - DEADLINE APPROACHING - LOST

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

Question 957386: Determine the probability of choosing a red marble from a bag containing 7 red marbles and 4 blue marbles giving your answer to 2 decimal places
Click here to see answer by Edwin McCravy(20054) About Me 

Question 957427: From a standard deck of card, one card is drawn. What is the probability that the card is black and a jack?
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Question 957401: A roulette wheel has 38 slots numbered 00, 0, 1, 2, ..., 35, 36. Eighteen of the slots numbered 1 through 36 are red and eighteen are black. The 00 and 0 slots are green. The ball is spun around the wheel until it falls into one of the slots. When a gambler bets $1 on a single number and wins, he gets $36 back (i.e. his net winnings are $35). Find the expected value of this game (in dollars).
Click here to see answer by stanbon(75887) About Me 

Question 957424: A die is rolled. What is the probability that the number rolled is greater than 2 and even?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 957451: An urn contains 4 red, 6 white, and 5 blue marbles. Three marbles are selected at random and without replacement. What is the probability that one of each color is selected? Give your answer as a decimal number, with 3 decimal places.
Click here to see answer by stanbon(75887) About Me 

Question 957469: Question 4
A study is being conducted to monitor how second-level students progress in education and how this is influenced by the economic position of their school. A randomly selected sample of 300 pupils who complete the Junior Cycle are identified; they are then categorised by their subsequent education outcome, Category A being little or no further education, to Category E the furthest level of education. The schools they attended are put in groups 1 to 3, with group 1 schools being the most economically disadvantaged, group 3 being the least disadvantaged. The numbers of pupils in each category of school with each type of educational outcome are given in the table in ‘Dataset4’ in the Excel document.
Carry out an appropriate statistical test to to determine whether the data supports a link between category of school and educational outcome.


Dataset 4
------- G1----- G2----- G3
A------ 8------ 7------ 10
B------ 7------ 7------ 10
C------ 7------ 7------ 12
D------ 7------ 8------ 14
E------ 8------ 9------ 17


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Question 957504: Ashley wanted to see the probability of buying a carton of eggs at the store and getting a cracked egg. He found the probability of getting no cracked eggs is 0.72 and the probability of getting a cracked egg is 0.18. What is wrong with Ashley's probability model?
Click here to see answer by macston(5194) About Me 

Question 957597: How can confidence intervals be used to determine if the means of two populations are significantly different from each other?
Please help with this question.

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Question 957636: solve using the standard normal distribution as an approximation to the binomial distribution. salesperson s. is successful, that is makes a sale, in an average of 35% of their calls. to win a special award, s. must average 50% sales for the next week. if they make 50 calls next week, what is the probability that they will make fewer than 25 sales and fail to win the award? draw a picture to start out with!!
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Question 957687: In how many ways could you obtain at least one head if you flip the coin seven times?

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Question 957689: Could you please tell me if the following is correctly calculated:
Construct a 90% confidence interval for a mean of a normal population, given a random sample of 12 values with a mean and standard deviation of 270 and 14.6, respectively.
I used t-interval and the answers were (262.43, 277.57)
Please let me know if I am calculating this properly - Thank you in advance.

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

Question 957821: 6 cards are randomly drawn from a standard deck of 52 cards. What is the probability that the 6-card hand will include at least one heart?
Click here to see answer by Fombitz(32388) About Me 

Question 957869: a student entered a raffle. his probability of winning is 1/4. calculate the probability of the complement of the event

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Question 957876: Suppose you have a key ring with eight keys on it, one of which is your house key. Further suppose you get home after dark and cant see the keys on the key ring. You randomly try one key at a time, being careful not to mix the keys you have already tried with the ones you have not. What is the probability that you get the right key on the fifth try.
Click here to see answer by Theo(13342) About Me 

Question 957900: a box of 6 coins(penny, nickel,dime,or quarter) worth $.67 what is the probability that a nickel is drawn first and then a quarter? Assume no replacement and that all coins are equally likely.
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Question 957906: What is the probability that the family will have one girl and two boys? The probability of having a girl is 54% and the probability of having a boy is 46%. Thanks.
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Question 957824: A basketball player makes 73% of her free throws. Find the probability that she will make at least 9 of her next 10 free throws. Give your answer as a decimal number, with 4 decimal places.
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Question 957532: a deck of cards has 8 clubs and 6 spades. A second deck has 3 clubs and 7 spades. one card is selected at random from each deck. what is the probability of selecting two clubs
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Question 957685: Find these critical values by using Table 8 of Appendix B.
(a) χ2(13, 0.01)
(b) χ2(13, 0.025)
(c) χ2(1, 0.10)
(d) χ2(29, 0.01)
(e) χ2(27, 0.95)
(f) χ2(12, 0.975)
(g) χ2(80, 0.90)
(h) χ2(22, 0.99)

Click here to see answer by Fombitz(32388) About Me 

Question 858297: Suppose you're in a class of 35 students. The instructor takes a simple random sample of 7 students and observes their heights. Imagine all of the different samples possible. Let X denote the tallest height in your sample. The distribution of all values taken by X in all possible samples of 7 students selected from the 35 students in your class is
A.the probability that X is obtained.
B.the sampling distribution of X.
C.the standard deviation of values.
D.the parameter.

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Question 958069: Suppose the weight of eggs produced has a mean of 61.17g with a standard deviation of 3.15g. What is probabilty that the carton of a dozen eggs will weigh less than 727g?
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Question 958072: A insurance company charges their clients $1400 annual premium. The company estimates that each time a patient that is hospitalized $2450. They estimated that 85% will not be hospitalized, 10% hospitalized once a yr and no one will be hospitalized more than twice.
what is the company expected profit and what is their profit for 30,000 clients?

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Question 958153: In an ordinary deck of 52 cards, how many cards are either RED or FACE CARDS?
Click here to see answer by Theo(13342) About Me 

Question 958035: Paul has grades of 76 and 70 on his first two tests. What must he score on his third test in order to have an average of at least 80?
Click here to see answer by Fombitz(32388) About Me 

Question 958203: According to the national highway travel survey, about 14.5% of workers aged sixteen and over commute to work in a carpool. Eight workers are selected at random. Find the probability that at least 5 carpool
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Question 958002: A soccer player has a shooting success probability of 0.4 and takes 4 shots in a match. What is the probability of scoring 2 goals on 4 shots?
Click here to see answer by Fombitz(32388) About Me 

Question 958165: Fifty balls are numbered 150 and a red dot is painted on those balls that are a multiple of 7. The balls are mixed into a bag and one ball is randomly chosen. What is the probability that the ball is numbered with a multiple of 5 or has a red dot
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Question 957813: A test is worth 131 points, and it contains both 2-point and 5-point questions. If there are 40 questions on the test, how many 2-point questions are there.
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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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