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

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Question 527229: suppose you just got a shipment of nine televisions and 2 of them were defective. what is the probabality that both televisions work amd the probablity that at least one does not work
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Question 527282: if











IF P(A)=0.3, P(B)=0.6 and P(AandB)= 1, find P(A or B)

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Question 527284: Suppose you flip a coin 3 times. What is the probability that exactly 2 of your flips were heads?
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Question 527283: In mathematics, a word is a list of letters which may or may not form an actual word in English (or any other language). For example, aa, at, zz, so, ia, and pq are all 2-letter mathematical words. Suppose we wanted to count the total number of 4-digit mathematical words. Which method should we use?
Combinations, Permutations, Benford's Law, n factor k

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Question 527289: if P(A)=0.3, P(B)0.6, and P(AandB)- 0.1, find P(AorB)
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Question 527275: A class contains 7 women and 7 men. Suppose we choose three random students. How many ways can we choose exactly 1 woman?

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Question 527206: show all work. Mary purchased a package of 9 different plants, but she only needed 6 plants for planting. In how many ways can she select the 6 plants from the package to be planted?
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Question 527162: HELP!!!!!!!!!!!!!
Suppose you earned 100 points on an exam. Under which of the following conditions did you earn the best grade?
When:
a. μ = 80 and σ = 10
b. μ = 80 and σ = 5
c. μ = 105 and σ = 10
d. μ = 105 and σ = 5
Make sure to justify your response with one to two sentences.

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

Question 527157: HELP!!!!!!!!
Suppose you earned 100 points on an exam. Under which of the following conditions did you earn the best grade?
When:
a. μ = 80 and σ = 10
b. μ = 80 and σ = 5
c. μ = 105 and σ = 10
d. μ = 105 and σ = 5
Make sure to justify your response with one to two sentences.

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

Question 527436: In mathematics, a word is a list of letters which may or may not form an actual word in English ( or any other language). For example, aa, at, zz, so, ia, and pq are all 2 letter mathematical words. Suppose we wanted to count the total number of 4-letter mathematical words which have no repeating letters.

Which method listed should we use? Combinations, Permutations, n(factor)k, Benford's Law

Click here to see answer by Edwin McCravy(20054) About Me 

Question 527472: A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event.
(a) The sum of the numbers is either 7 or 11.
(b) One die shows a 6, and the other is a number less than 4.

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Question 527512: Is there a statistically significant difference between the two means?
What if it turns out that there is really no difference between the mean self-esteem scores of black students who attend HBCUs and all black students? What kind of error have we made?

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Question 527614: A bag of marbles contains 4 red marbles, 3 green marbles, 1 yellow marble, and 4 blue marbles. One marble is drawn, not replaced, and then a second marble is drawn. Find the probability of picking 2 green marbles using the counting principal.
Please help me solve. Ive tried this...
3/12 * 3/11 = 3/44 ( but i'm not quite sure if it's right)

Click here to see answer by edjones(8007) About Me 

Question 527599: A restauranteur is serving 300 people and believes about 15% of the patrons will order the chef's fish special. How many of the fish specials should he plan on serving in order to be pretty sure of having enough fish on hand to meet customer demand?
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Question 527582: 70% of women and 69% of men in a company are able to use a spreadsheet. If one man and one woman are chosen randomly from the company, what is the probability that only one of them is able to use a spreadsheet?
Enter your answer correct to three decimal places:

Click here to see answer by edjones(8007) About Me 

Question 527564: Rework problem 17 from section 3.2 of your text, involving the sum of the numbers
showing on two fair dice.
(1) What is the probability that exactly one die shows a 2
given that the sum of the numbers is 3?



(2) What is the probability that the sum of the numbers is 3
given that exactly one die shows a 2?



(3) What is the probability that the sum of the numbers is 3
given that at least one die shows a 2?

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Question 527700: Suppose that 10 transistors are randomly drawn from a box containing 26 good transistors and 4 defective transistors. What is the probability that exactly 9 of the transistors are good?
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Question 527694: Can please somebody help me to solve this? "Can you tell the difference between Coke and Pepsi in a blind taste test? most people say they can and have a preference for one brand or the other. however research suggests that people can correctly identify a sample of one of these prodcuts only about 60% of the time. Suppose we decide to investigate this question and select a sample of 15 college students.

Question: what is the probability at least 10 of the students will correctly identify Coke or Pepsi?

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Question 527740: A card is randomly drawn from a deck of 52 playing cards. What is the probability that it is a King given that the card is Red?
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Question 527807: The average height of flowering cherry trees in a certain nursery is 9.5 feet. If the heights are normally distributed with a standard deviation of 1.3 feet, find the probability that a tree is less than 11.5 feet tall.
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Question 527808: A study of elephants is conducted to determine the average weight of a certain subspecies of elephants. The standard deviation for the population is 1500 pounds. At a 99% level, how many elephants need to be weighed so the average weight will be accurate to within 200 pounds?
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Question 527822: In a standard normal distribution, what z value corresponds to 17% of the data between the mean and the z value?
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Question 527827: For a normal distribution with a mean of 13 and a standard deviation of 6, the value –2 has a z value of
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Question 527819: A university has 10,000 students of which 35% are male and 65% are female. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male students.
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Question 527849: A pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet?
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Question 528096: In a normal distribution the mean is 50 and the standard deviation is 5. Find the
proportion of values that do not lie between 48 and 52.

Click here to see answer by reviewermath(1029) About Me 

Question 528157: in a certain population, 30% of the women are married and 40% of the men are married. what percent of the total population in married? round answer to the nearest tenth of a percent. assume that one woman is married to one man and that each couple resides in this population-
Click here to see answer by josmiceli(19441) About Me 
Question 528157: in a certain population, 30% of the women are married and 40% of the men are married. what percent of the total population in married? round answer to the nearest tenth of a percent. assume that one woman is married to one man and that each couple resides in this population-
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Question 528286: The ratio of girls to boys in a classroom is 4:5. What is the probability that, if a student is chosen at random, a girl will be chosen?
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Question 528255: A student answers all 48 questions on a multiple-choice test by guessing. Each question has four possible answers, only one of which is correct. Find the probability that the student gets exactly 15 correct answers.
(Please answer in simplest terms. I do not know complex probability equations.)

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Question 528255: A student answers all 48 questions on a multiple-choice test by guessing. Each question has four possible answers, only one of which is correct. Find the probability that the student gets exactly 15 correct answers.
(Please answer in simplest terms. I do not know complex probability equations.)

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

Question 528318: Four balls are selected at random without replacement from an urn containing three white balls and five blue balls. Find the probability that two or three of the balls are white. (Round your answer to three decimal places.)
I have tried,
8C4 = 70 for total number of ways
8 because it's the total amount of balls and 4 because thats how many balls are being selected
Then I tried, 4C3=4
4 because thats how many are being selected and 3 because thats how many white balls there are
then i did 4/70 and it was wrong

Click here to see answer by scott8148(6628) About Me 

Question 528338: If you roll two six-sided dice, what is the probability that the sum is 6 or 7? Your answer should be a decimal between 0 and 1 rounded to no less than two decimal places.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 528387: If you roll two six-sided dice, what is the probability that at least one die shows a 1, 2, 3, or 4, or the sum is odd?

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Question 528453: Ten Pieces of paper numbered consecutively from 1 to 10 are put into a hat. If three pieces of paper are drawn at random from the hat one at a time without being returned to the hat, What is the probability that all three will be Even numbers
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Question 528368: How do you solve C(7 over 2) . 7

What is the final answer?

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Question 528395: Identify the sampling technique used to obtain this sample:
A person throws a phone book into the air five times; each time, he selects the tenth number on the page to which it opens.

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Question 528358: A customer from Cavallaro's Fruit Stand picks a sample of 3 oranges at random from a crate containing 65 oranges, of which 4 are rotten. What is the probability that the sample contains 1 or more rotten oranges? (Round your answer to three decimal places.)
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Question 528350: An exam consists of 20 true-or-false questions. If a student guesses at every answer, what is the probability that he or she will answer exactly 12 questions correctly? (Round your answer to three decimal places.)
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Question 528339: An exam consists of 20 true-or-false questions. If a student guesses at every answer, what is the probability that he or she will answer exactly 12 questions correctly? (Round your answer to three decimal places.)
Click here to see answer by stanbon(75887) About Me 

Question 528483: a large shipment of items contains 8% defective items. four items of the shipment are randomly selection. what is the chance that the selection will include at least one defective item?
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Question 528551: How many different 4-letter words can be made if the first letter must be F or W and no letter may be repeated.
Click here to see answer by oberobic(2304) About Me 

Question 528596: +If+P%28E%29=0.33%2C+what+are+the+odds+against+E%3F+
I understand that P(E')=.67 but I can't figure out how to determine the simplified answer to .67/.33.
The example it gave me was P(E)=.24 and P(E')=.76. The answer it showed me was .76/.24=19/6.
But how did they get 19/6??!!

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

Question 528556: Given a standard normal distribution. What z value accounts for the upper 33% of the population?

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Question 528562: Suppose you are selecting a lunch at a restaurant. You may select either a sandwich & salad or a sandwich & soup. If there are 3 soups, 4 salads, and 5 sandwiches available, how many dierent lunch combinations are possible?
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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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