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

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Question 852540: the probability of guessing the right answer is x by 2 and the probability of guessing the wrong answer is 2 by 3. find the value of x
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Question 852481: Let X be a binomial random variable with n = 9 and p = 0.2 (nine trials, probability of success = 0.2). Find the probability of 4 successes, i.e., P(X = 4). Give your answer as a decimal to three decimal places, e.g., 0.123. Round as needed.
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Question 852497: 10 playing cards are numbered 1 to 10. 3 different cards are randomly selected. Calculate the probability that the sum of the numbers selected are at most 9?
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Question 852563: I am trying to find out if you have 27 things of seafood and five of them are spoiled. If 6 of the 27 meals are served what is the probability that a custom will receive spoiled food?
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Question 852604: A jar contains green wrapped candies and yellow wrapped candies. A person selects two wrapped candies without replacement. If the probability of selecting a green candy and a yellow candy is 3/8, and the probability of selecting green candy on the first draw is 11/16, find the probability of selecting the yellow candy on the second draw, given that the first candy selected was a green one. Give your answer as a decimal rounded to the hundredths place.
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Question 852607: A quality engineer in a light bulb factory is planning a study to estimate the average life of a large shipment of light bulbs. The engineer wants to estimate the average life within plus or minus 15 hours with 95 percent confidence. Assuming a process standard deviation of 100 hours, determine the sample size for this study
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Question 852603: A leading college recently reported that 68.1% of its student body had concerns about the increasing price of tuition. If three students from this college were chosen at random, what is the probability that at least one of these students chosen would be concerned about the increasing price of tuition? Hint: use the complement and be sure to give your answer as a decimal rounded to the thousandths place.


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Question 852586: Suppose that you are in a class of 33 students and it is assumed that approximately 17% of the population is left handed.
a) Compute the probability that exactly five students are left handed
b) compute the probability that at most four students are left handed
c) compute the probability that at least six students are left handed

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Question 852648: Find the two standard scores(z) that correspond to the following.
A) the middle 77% of a normal distribution is bound by them
B) the middle 95% of a normal distribution is bound by them
Thanks in advance!

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Question 852679: Suppose you are working with a data set that is normally distributed with a mean of 400 and a standard deviation of 20. Determine the value of x such that 60% of the values are greater than x.
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Question 852621: Suppose that the average score on the GMAT exam is 500 and that the standard deviation of all scores is 100 points. You would expect approximately 95% of all GMAT scores to be between
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Question 852682: 1)A popular doughnut shop makes 5000 doughnuts per day, of which 30% (1500 doughnuts) have chocolate icing. Andy likes doughnuts with chocolate icing but his brother Jimmy tells the shop assistant to choose doughnuts randomly whenever he buys them. Every Sunday, Jimmy buys 15 doughnuts and brings them home. On average, how many of these doughnuts will have chocolate icing?
2)In the situation from Question 1, determine the probability that on a given Sunday, there will be at least 6 doughnuts with chocolate icing that Jimmy has brought home.
I solved this using formula and Binomial table and I got two different answers.

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Question 852667: You are asked to strike a ball with your bat and you are only allowed to swing three times in a row. If your typical chance to strike a ball in every swing is 60%, the probability that you will strike the ball at least once is:
A 80.6%
B 86%
C 60%
D 93%

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Question 852643: I am having trouble finding the answer to E and F in this problem. could you show me how to do letter E using the formula and also letter F.
The following are scores on a test in a math class.
67 89 94 55 76 71 66 87 69 74 99
84 55 42 68 77 90 88 81 78 65 79
98 64 77 70 85 89 92 72 61 94 83
a. Find the mean.
I have the mean as 2539/33= 76.9393
would you round this to the whole number?
b. Find the median.
I have the median as 77


c. Find the mode.
i have the mode as 55,77,89
d. Find the range.
I have the range as 57
e. Find the standard deviation.

f. How many of the scores are within one standard deviation of the mean?

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Question 852619: There are six boys and six girls in a class. The mean height of the girls is 59 inches and the mean height of the boys is 60 inches. One of the boys is 72 inches tall. Is the mean height of the other five boys greater than the mean height of the six girls? Explain.
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Question 852624: Two cards are drawn from a standard deck of cards. (The first card selected is not returned to the deck before the second card is drawn.) A characteristic of the first card is noted. Find the probabilities of the second card, given the information about the first card is provided.
9. P(ace|two)

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Question 852623: Refer to the Buena School District bus data. Information provided by manufacturers of school buses suggests the mean maintenance cost per month is $455 per bus. Use statistical software to find the mean and the standard deviation for the Buena buses.Does the Buena data seem to be in line with that reported by the manufacturer? Specifically,what is the probability of the sample mean being less than Buena’s, given the manufacturer’s data? (Round mean, standard deviation and z value to 2 decimal places and final answer for probability to 4 decimal places.)

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Question 852620: A coin is tossed seventeen times, find the probability of getting exactly 6 heads.
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Question 852618: Use the Hypergeometric formula: a high school committee is to be formed by choosing randomly from 11 students and 5 teachers. If the committee is to have 7 members, find the probability that exactly 5 of them are students.
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Question 852617: A die (20 sided with numbers 1-20) is rolled 650 times. Find the standard deviation for the number of "11"s that will be rolled.
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Question 852699: I need help with this question please.
3 different fair dice are thrown. Find the probability that the numbers 1,2, and 3 are obtained.(in this case it does not matter which die shows which number).
Any guidance will be greatly appreciated.

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Question 852616: 51.2% of the voters in a large city support the building of a new recycling center. If four voters from this city are chosen at random, what would be the probability that all four voters chosen would oppose the building of the new recycling center?
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Question 852615: Library Patrons in a large metropolitan area were questioned about extending library hours. 72.1% of those polled agreed with extending hours. If four library patrons from this area were chosen at random, what is that probability that all four would agree to extend hours?
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Question 852777: A study determined that 7% of persons 65 to 74 have a certain symptom. A group of 19 persons age 65 to 74 get selected random . Find the probability that at least 2 persons have the symptom . What is the probability that at least 2 persons 65 to 74 have the symptom is ??
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Question 852767: I'm having an issue with this probability problem. I don't even know where to start:
A pair of fair dice is rolled. What is the probability that the number landing uppermost on the first die is a 6 if it is known that the sum of the numbers landing uppermost is 7?

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Question 852775: A study determined 6% of children under 18 years of age live with their father only . Find the probablitity that at most 2 persons selected at random from 14 children under 18 years of she live with their father only. The probability that at most 2 children live with their father only is ???
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Question 852774: 11.1% of the population is 65 or older . Find the probability that the following number of persons selected at random from 20 people are 65 or older . The probability that exactly 4 people are 65 or older is ???
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Question 852789: I was wondering if I can enlist your help in a probability question. I should clarify that I am not a student. I think that my question may be expressed as: What is the probability to select four specific persons in terms of forming a committee of six persons from a list of 31 persons? I would think that the answer might be expressed as a fraction with its denominator being the number of all possible six-person committees that may be selected from the group of 31 persons and the numerator being the number of all possible couples that may be formed from the remaining 27 persons (excluding the four ones mentioned before). If this is correct, I estimate the probability as (27!) / (31!) and it seems to me that it is extremely small.
Click here to see answer by stanbon(75887) About Me 
Question 852789: I was wondering if I can enlist your help in a probability question. I should clarify that I am not a student. I think that my question may be expressed as: What is the probability to select four specific persons in terms of forming a committee of six persons from a list of 31 persons? I would think that the answer might be expressed as a fraction with its denominator being the number of all possible six-person committees that may be selected from the group of 31 persons and the numerator being the number of all possible couples that may be formed from the remaining 27 persons (excluding the four ones mentioned before). If this is correct, I estimate the probability as (27!) / (31!) and it seems to me that it is extremely small.
Click here to see answer by ewatrrr(24785) About Me 

Question 852768: I'm not sure how to solve this question:
The probability that a battery will last 10 hr or more is 0.8, and the probability that it will last 15 hr or more is 0.16. Given that a battery has lasted 10 hr, find the probability that it will last 15 hr or more. (Round your answer to three decimal places.)

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Question 852762: Hello. The problem I need help on is a probability one. The problem is:
In a home theater system, the probability that the video components need repair within 1 year is 0.02, the probability that the electronic components need repair within 1 year is 0.005, and the probability that the audio components need repair within 1 year is 0.002. Assuming that the events are independent, find the following probabilities:
(a) At least one of these components will need repair within 1 year:
I've figured this out by taking the compliments of each probability and got .0269 which is correct.
The second part is what I need help on.

(b) Exactly one of these component will need repair within 1 year:
? I tried solving by taking the compliment of the first one multiplied by the compliment of the second added to the compliment of the second multiplied by the third and then added to the compliment of the first multiplied by the first, but it's not right. I also tried that with the original probabilities given, but that didn't work either. I'm completely stuck. Some help would be appreciated. Thank you.

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Question 852752: I have the two answered but not sure if they are right.could you help
Two cards are drawn from a standard deck of cards. (The first card selected is not returned to the deck before the second card is drawn.) A characteristic of the first card is noted. Find the probabilities of the second card, given the information about the first card is provided.


10. P(black|black)
I have 25/51

11. P(nine|heart)
I have 12/51=4/17
Not sure if this problem is supposed to go with the top but
12. A single card is drawn from a standard deck. Find the P(jack|face card)

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Question 852796: There are 150 people at a play. Ninety are women, and 60 are men. Half are sitting in the lower level, and half are sitting in the upper level. There are 35 women sitting in the upper level. A person is selected at random for a prize. What is the probability that the person is sitting in the lower level, given that the person is a woman? Is the event "person is sitting in the lower level" independent of the event "person is a woman"? Explain.
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Question 852813: Let's say that we choose 5 cards from 52 cards.
i) What is the probability of getting an ace of spades?
ii) What is the probability of getting any kind of ace in the 5 cards that we chose?
I'm stuck and can't figure it out. Any help would be really appreciated.

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Question 852837: A single die is rolled one time. Find the probability of rolling a number greater than 3 or less than 2
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Question 852853: A league has 16 teams, and all teams must play with all, exactly twice, one time at each stadium (home and out of home).
1. How many games must be played on total?
2. Which team will win the championship of the league?

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Question 852935: The age of employees (in years) in a particular industry has a normal distribution with mean of 38 and standard deviation of 5.9. Only 2% of employees are younger than what age?

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Question 852893: What is the probability of getting a license plate that has a repeated letter or digit if you live in a state in which license plates have one numeral followed by three letters followed by three numerals? (Round your answer to one decimal place.)
%
https://www.webassign.net/smithnm11/13-3-044.gif

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Question 852951: In a certain city 37% of all shops advertise in the local newspaper. A random sample of 12 shops is taken.Define the random variable for this situation and list its values. What in your view is the probability distribution of this variable? State the conditions that influence your choice of distribution.) Calculate the probability that more than 9 shops advertise in the local
newspaper

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Question 852894: What is the probability of obtaining exactly four heads in five flips of a coin, given that at least three are heads? (Enter the probability as a fraction.)
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Question 852905: What is the probability of winning the 8th position in the lottery, you have to choose 10 numbers and one additional number from 30 numbers. In order to win the 8th position, 6 out of 10 numbers would match and your additional number also matches. Find the probability of winning the 8th position ?
** Is the answer 10C6 x 20C4/ 30C10 X 4/20


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Question 852892: What is the probability of getting a license plate that has a repeated letter or digit if you live in a state in which license plates have one numeral followed by three letters followed by three numerals? (Round your answer to one decimal place.)
%

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Question 852960: The heights of boys at a particular age follow a normal distribution with mean 150.3 cm and standard deviation 5 cm. Find the probability that the height of a boy picked at random from this age group is between 150 cm and 158 cm.
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Question 852839: Of the 40 plays attributed to a playwright, 12 are comedies, 13 are tragedies, and 15 are histories. If one play is selected at random find the odds against selecting a tragedy.
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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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