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

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Question 1143780: in a chess tournament your probability of winning a game is 0.3 against 50%of the player(say type_1),0.4 against another 25%of the players and 0.5 against the remaining 25%of the players if you play against a randomly selected player and you win what is the probability that you play against a type 1 oponest.
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Question 1143762: In how many ways can a picture be painted by using two or more of 7 different
colors?

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Question 1143762: In how many ways can a picture be painted by using two or more of 7 different
colors?

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Question 1143784: In how many ways can 7 boys be seated in a row so that 3 boys are always seated together.
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Question 1143786: what is the permutations of the letters in the word of ASSASSIN?
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Question 1143803: 32 of the 80 members of a club are married and of these, 8 are managers. There are 20 managers in total in the club.
Find the probability that a person chosen at random is;
i) a married manager
ii) neither married, nor a manager

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Question 1143806: A spinner with 3/4 blue and 1/4 red is spun twice.
What is the probability of;
a) red on the first spin
b)blue on the first spin and red on the second
c) both the same color
d)different colors

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Question 1143804: 32% of houses have a tiled roof and 13% have a tiled roof and double brick.
What is the probability that a house is double brick given that the house has a tiled roof?

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Question 1143801: Disks, each with a single letter written on it, are placed in a bowl. The letters are A, B,C,D and E.
a) Find the probability of a i) vowel ii) consonant
b)If two disks are chosen, probability of iii) both vowels iv)both not vowels v)the first is a vowel and the second is a consonant vi) the second is a vowel

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Question 1143802: 30 students -26 are right handed, 10 walk to school and 9 of the walkers are right- handed.
Find the probability that a student chosen at random;
i) is left-handed and walks to school
ii) is left-handed, if we know the student walks to school
iii) does not walk to school if we know the student is left-handed

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Question 1143815: the probability that a nan will live 10 more years is 1/4 and the probability that his wife will live10 more years is 1/3. find the probability that (1).both will be alive in 10 years time (2) at least one will be alive in 10years time. (3) neither both will be alive in 10years time. (4) only the wife will be alive in 10years time.
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Question 1143841: A salesperson of kathmandu mall has a 70% chance of making a sale to each customer. the behaviour of successive customer is assumed to be independent. if two customers A andB enter, what is the probability that the salesperson will make a sale to none and at least one?
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Question 1143842: Find the indicated probability.
P(A):50%
P(B):50%
A(A orB)= ______
P(A and B)= 0%

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Question 1143857: z = (0.11-0.10)/(0.05/sqrt(40))
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Question 1143854: A data set includes 107 body temperatures of healthy adult humans having a mean of 98.7degreesF and a standard deviation of 0.72degreesF. Construct a 99​% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6degreesF as the mean body​ temperature?
What is the confidence interval estimate of the population mean mu​?
What does this suggest about the use of 98.6degreesF as the mean body​ temperature?
A.
This suggests that the mean body temperature could be higher than 98.6degreesF.
B.
This suggests that the mean body temperature could be lower than 98.6degreesF.
C.
This suggests that the mean body temperature could very possibly be 98.6degreesF.

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Question 1143864: t is known that the height of ten-year old boys is normally distributed with a population standard deviation of 4.24 cm. If a random sample of 64 ten-year old boys are considered what is the probability that the average height of this sample of ten-year old boys will differ by no more than 1.15 cm in either direction from the unknown population mean height of ten-year old boys?
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Question 1143875: A new sports car model has defective brakes 15 percent of the time and a defective steering mechanism 5 percent of the time. Let’s assume (and hope) that these problems occur independently. If one or the other of these problems is present, the car is called a “lemon.” If both of these problems are present, the car is a “hazard.” Your instructor purchased one of these cars yesterday.
What is the probability it is:
a) hazard ?
b) a lemon?

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Question 1143882: A company owns a fleet of 20 cars, each having either manual or automatic transmission and either 2 or 4 doors. It is reported that 13 cars are 2-door models and, of these, 12 have automatic transmission. There are only 4 cars with manual transmission. If a car is picked at random from a fleet, calculate the probability that it is:
A. Automatic given that it is 4-door car
B. 4-door car given that it is automatic

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Question 1143881: Suppose two vaccum salesmen
A and B must each make two calls per day, one in the morning and one in the afternoon. A has a probability 0.4 of selling a cleaner on any call, while B(a novice) has a probability 0.1 of a sale. A works independently of B, and for each salesman, morning and afternoon results are independent of eachother. Find the probability that
A. A sells just one cleaner
B. B makes at least one sell

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Question 1143881: Suppose two vaccum salesmen
A and B must each make two calls per day, one in the morning and one in the afternoon. A has a probability 0.4 of selling a cleaner on any call, while B(a novice) has a probability 0.1 of a sale. A works independently of B, and for each salesman, morning and afternoon results are independent of eachother. Find the probability that
A. A sells just one cleaner
B. B makes at least one sell

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Question 1143880: Suppose two vaccum salesmen A and B must each make two calls per day, one in the morning and one in the afternoon. A has a probability 0.4 of selling a cleaner on any call, while B(a novice) has a probability 0.1 of a sale. A works independently of B, and for each salesman, morning and afternoon results are independent of eachother. Find the probability that;
A. A sells just one cleanecleaner
B. B makes at least one sell

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Question 1143865: The amount of money that students spend on their cell phones per week is normally distributed with a mean of $52-00 and a standard deviation of $6-00. What is the probability that a student studies for more than $60-00 per week. Find the probability that the mean amount of money on cell phones for three randomly selected students is less than $60-66 per week
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Question 1143836: Construct a 99 ​% confidence interval about u1 - u2.
Population 1: n = 19, x = 17, s = 4.8
Population 2: n = 19, x = 21.2, s = 3.6

We are 99​% confident that the mean difference is between ... and ...

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Question 1143516: In 120 throws of single dice, the following distribution of faces was obtained.
Faces 1 2 3 4 5 6
Frequency 30 25 18 10 22 15
Can you say that the dice is defective?

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Question 1143264: Ricardo was conducting an experiment . if his experiment resulted with a success rate of 65% and a standard deviation of five ,at least how many trials did he conduct?
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Question 1143935: a die is tossed 120 times find probability that first will turn up
1.18 times or greater
2. 14times or less
3. between 10 and 24

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Question 1143953: How many two-digit odd numbers can you form using the digits 0, 1 , 2, 3, 4, 5, 6, 7, 8, 9? Repetitions are not allowed.
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Question 1144001: A mathematics problem is given to three students A, B, C whose chances of solving it are 1/4, 2/3, 1/2 respectively. If all of them try independently, the probability that the problem is solved by any one of the students is: -
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Question 1144000: A total of 40 candidates have applied for a single job at a power plant. Out of the 40 candidates, 20 are graduates, 35 are men and 25 are computer literate. What is the probability of randomly selecting a candidate who is a graduate, female and computer literate? (final value rounded to 3 decimal places)
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Question 1143999: Two tube lights are installed in a room. Probability of light A failing is 0.20 while the probability of light B failing is 0.15. What is the probability that both the lights are working on a given day? (final value is rounded off to 2 decimal places)
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Question 1143990: the average price of new story townhouse is 1,600,000, find the maximum and minimum prices of the townhouse that a contractor will build to include the middle 70% of the market. Assume that the standard deviation of prices is 300,000 and the variable is normally distributed.
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Question 1144014: Sixty five percent of 12th graders attend school in a particular urban district. If a sample of 450 12th grade children is selected. Find the probability that more than 280 are actually enrolled in the school
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Question 1144017: Stress at work: In a poll conducted by the General Social Survey, 81% of respondents said that their jobs were sometimes or always stressful. Ten workers are chosen at random. What is the probability that more than 6 find their jobs stressful?

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Question 1144024: Hi we have to figure out c) The researchers also concluded that if contraceptive use increases by 18%, women bear, on average, one fewer child. Do you agree? State your evidence from the Excel output clearly. for a stats assignment, we have got the equation below from our graph but are lost at how to figure out question C. The mean number of children is 4.51
y = -0.0546x + 6.7319
R = 0.74826
Any help would be greatly appreciated!

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Question 1144029: A box contains eight items of which three are defective and another box contains five items of which two are defective. An item is drawn at random from each box. What is the probability that the selection contains one defective and another non-defective item?
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Question 1144097: It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
(a) Find the probability that a senior citizen suffers from anxiety, given that he or she has sleep disorder. Round your answer to decimal places.

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Question 1144118: If 60% of the voters in a large district prefers candidate A. What is the probability that in the sample of 12 voters exactly 7 will prefer A?
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Question 1144117: The incidence of occupational disease in an industry is such that the human have a 20% chance of suffering from it. What is the probability that out of 6 women.
i. Not more than 2 will catch the disease
ii. 4 or more will catch the disease

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Question 1144152: 1. To graduate Qyrisha needs at least a B in Statistics. She did not do very well on her first three tests. However, she did last in the last four. Below are her scores:

57 60 84 90 92 95

1) compute the mean
2) determine whether Qyrisha's grade will be a B (70 to 79 average) or C (60 to 69 average)

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Question 1143819: The number of monthly breakdown of a computer is a random variable with an average breakdown of 1.8per month. Find the probability that a computer will function for a month:(i). Without breakdown, (ii). With at least one breakdown
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Question 1144176: One box contains 10 tokens with numbers on them. Five with the number 2,
three with the number 4 and two with the number 8. Randomly we pick 100 tokens (with returning).
Find the probability that the product (multiplication) of the picked tokens is between +2%5E160+ and +2%5E200+.
I think it is solved with the central limit theorem. I found the mean = 38 and the variance = 196 and I know that the numbers
can be in this format 2 = 2, 4 = +2%5E2+, 8 = +2%5E3+. To use the central limit theorem we need sum, not product (multiplication).
The multiplication of the numbers can be transformed of the Sum of the powers of 2, but I don't know how to transform the given n=100 from the multiplication (product) to the sum.

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Question 1144197: A box containing of 100 nails. When manufacturing 10000 boxes a day;in 668 boxes contains less than 138 nails and 62 boxes contains more than 186 nails. Mentioning the required hypothesis calculate the mean and variance of consistency of nails in a box.
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Question 1144219: If the probabilities that a computer technician will repair 3,4,5,6,7, or 8 or more laptops on any given workday are 0.12, 0.19, 0.28, 0.24, 0.10, and 0.07, respectively, what is the probability that he will service at least 5 laptops on his next day at work?

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Question 1144255: the probability that a college student owns a microwave is 0.63 , that a college student owns a refrigerator is 0.25 and that a college student owns both is 0.16 find the probability that a college students owns a microwave or refrigerator
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Question 1144272: Amtrak trains from Chicago to Portland arrived at Havre, MT, where they made a change, the following numbers of minutes late:
26, 17, 245, 19, 38, 42, 11, 0, 14, 44
Find the mean number of minutes late at Havre ( to one decimal place)

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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, 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