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

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Question 339786: A mini license plate for a toy car must consist of a one digit odd number followed by two letters.?
Each letter must be a J or Q.
1. Use the counting principle to determine the number of points in the sample.
2. Construct a tree diagram to represent this situation
3. List the sample space.
4. Determine the exact probability of creating a mini license plate with a J. Give solution in reduced fraction form.
I really need help on this one. Im not quite grasping the concept of the problem. Thank you

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

Question 339818: For a trip a woman packed 7 tops, 5 pairs of pants, and 4 pairs of shoes. How many different outfits can she wear?

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

Question 339776: For a particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5 and 6 on each die are in the ratio 1:2:3:4:5:6. What is the probability of rolling a total of 7 on the two dice?
Click here to see answer by edjones(8007) About Me 

Question 339494: If 20 newborn babies are randomly selected, how many different gender sequences are possible?
Click here to see answer by Fombitz(32388) About Me 

Question 339819: Suppose that you are playing a game of Scrabble and the remaining letters in the bag are ADKNSTVZ. If it is your turn to play and there is a C available for use on the board and you have a BXLE, needing to draw 3 letters, what is the chance that you will draw the needed AND to create the word CANDLE? (HINT: Consider how many ways you can draw 3 letters from a bag of 8).
Click here to see answer by solver91311(24713) About Me 

Question 339861: Five white and four black balls are arranged in a row. What is the probability that the end balls are of different colors?
Click here to see answer by jrfrunner(365) About Me 

Question 339817: Consider the old rules for telephone are codes determined by creating three digit codes with 0 or 1 as the second digit but excluding codes ending in 00 or 11 as these were reserved for toll-free calls, emergency services, and other special uses. How many different codes were possible under these rules?
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Question 340019: probability of rain is 80%
Click here to see answer by Alan3354(69443) About Me 

Question 339995: A bag contains green and yellow color tiles. You pick two tiles at random with out replacing the first one. The probability that the first tile is yellow is 3 to 5. The probability of drawing two yellow tiles is 12 to 35. Find the probability that the second tile you pick is yellow.
Click here to see answer by edjones(8007) About Me 

Question 340017: a school is holding a blood drive. if 3 stundents out of 50 give blood are type a. what is the probablity that a randomly selected student is type a? write the probablity as a decimal.
Click here to see answer by edjones(8007) About Me 

Question 340018: multiplying probabilities
there are 3 nickels, 2 dimes and 5 quarters in a purse. three coins are selected in succession at random.
1) find the probabilty of selecting 1 nickel, 1 dime, and 1 quarter in that order without replacement.

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

Question 340100: Q: A game of “Quick Draw” is played in a certain casino. In the game, a player chooses a card from a well shuffled deck of regular playing cards (52 card deck). If the card chosen is the King of Hearts, the player receives $104. If the card is an Ace, the player receives $78. Otherwise the player pays the casino $13. How much money can a player expect to win the next time s/he plays the game?
Click here to see answer by solver91311(24713) About Me 

Question 340258: Which pair has equally likely outcomes?
a. drawing a red 5 out of a standard 52 card deck given it is not a face card or ace.
b. rolling a total of 10 on a two fair six sided dice.
c. rolling a total of 3 on a two fair six sided dice.
d. rolling a total of 7 on a two fair six sided dice.
e. drawing a four out of a standard 52 card deck given it is not a face card or an ace.
** I have checked all probabilities and can't seem to find two equal ones. I have to be doing something wrong, please help AND thank you in advance for your help!!!

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

Question 340270: The Caldwell Community College Big Lottery Game requires the selection of six different numbers from the set 1,2,3,4,….45.
a. How many different selections are possible?



b. What is the probability of buying a single ticket and winning this lottery?


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

Question 340362: If 6 cars out of 10 on an assembly line are red, what is the probability that a car selected at random from the assembly line will be red?
a 2/3 b 3/5 c 1/2 d 2/5 e 1/6

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

Question 340290: if set A=(3,4,5,6,7)and set B=(1,2,3,4)
(a) what is A U B
(B) what is A ∩ B

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

Question 340292: evaluate the following determinants [-2,-1,0,-3,5,-2,0,8,-1]
Click here to see answer by Fombitz(32388) About Me 

Question 340354: Q: Two local surgeons demonstrated that, when surgeons perform leg or arm amputations, it is conceivable that they might operate on the wrong leg or arm. Suppose that two surgeons performing on a leg are able to choose the correct leg with a probability of 0.80 and that their choice in one operation is independent of their choice in any other. Suppose that they perform three amputations. What is the probability that they will amputate the wrong leg in two of the operations?
a 0.48
b 0.032
c 0.384
d 0.096

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

Question 340455: In a class of 20 students, a group of 5 students is selected to work on a project. How many groups are possible?
Click here to see answer by solver91311(24713) About Me 

Question 340496: A baseball team has 15 players. How many 9-player batting orders are possible for this team?
Click here to see answer by checkley77(12844) About Me 

Question 340506: arrange these integers from least to greatest -77,-13,-73,38,82,-75
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Question 340748: Five-card hands are dealt at random from an ordinary deck of 52 playing cards.
a. How many hands are possible?




b. How many hands are possible that contain only red cards?




c. How many hands are possible that contain only spades?

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

Question 340851: The probability that a cancer patient will be admitted in hospital is 0.2. find probability of following.?

What is the probability that
1. All three will be admitted.
2. None will be admitted
3. Only one will be admitted.

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

Question 340855: The probability of contracting the kissing disease is .23 when one is exposed to a certain provocative environment. Sixty people are so exposed. What is the probability that no more than 10 are infected with this dreaded disease?
Click here to see answer by Theo(13342) About Me 

Question 340881: You have a 5 question test with 4 multiple choice answers for each. What is your
probability of getting 3 correct answers?

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Question 340698: For a randomly selected female, record her height to the nearest cm and write the set of all possible outcomes
Click here to see answer by stanbon(75887) About Me 

Question 341115: Hi I have this problem, I tried to solve for many different ways but I couldn't find the correct solution my teacher said. Please I need help. Thanks.
There are 20 people in my house, what is the probability that two or more will have the same last 5 digits in their Driver License (in the same order)? Assume that all digits 0 to 9 are equally likely, and give your answer to within ± 0.000001.

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

Question 341146: When you chose at random a product in the table, what is the probability that the product is even?Explain.
Click here to see answer by stanbon(75887) About Me 

Question 341162: Pick a number, 1,2,3,4, write it down, if each student in a class of 50 were also to pick a number, how many would you guess had selected the same number as you did?
Click here to see answer by edjones(8007) About Me 

Question 341287: A package of 15 apples contains two defective apples. Four apples are selected at random. (a) Find the probability that none of the selected apples are defective. (b) Find the probability that at least one of the selected apples is defective.
Click here to see answer by edjones(8007) About Me 

Question 341305: what is the expression that represents theproduct of b and 45
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Question 341421: The probability that a certain region in Mexico will be hit by a hurricane in any given year is 0.07. What is the probability that the region will be hit by at least one hurricane in the next 14 years?
Click here to see answer by solver91311(24713) About Me 

Question 341455: Find the probability of at least one club when you draw cards from a standard deck 11 times; assume that you replace the card each time you draw , so there are always 52 cards to draw from.
Click here to see answer by rfer(16322) About Me 
Question 341455: Find the probability of at least one club when you draw cards from a standard deck 11 times; assume that you replace the card each time you draw , so there are always 52 cards to draw from.
Click here to see answer by Alan3354(69443) About Me 

Question 341498: Find the probability of at least one 3 in 8 rolls of a fair die.
Click here to see answer by edjones(8007) About Me 
Question 341498: Find the probability of at least one 3 in 8 rolls of a fair die.
Click here to see answer by stanbon(75887) About Me 

Question 341526: A professional chef’s work responsibilities include creating new dishes, shopping for ingredients and cooking the meals. On Thursday, Blake, a professional chef, spent 4 hours shopping for ingredients, 1 hour creating new dishes and 5 hours cooking the meals. If Blake’s work hours on Friday are spent approximately the same way they were on Thursday, what are the chances that at any given moment on Friday Blake will be creating new dishes or cooking the meals? Show step by step work! Give answer as a fraction in lowest terms.
Click here to see answer by stanbon(75887) About Me 

Question 341694: Please help I am completley lost:(
A study of motor vehicle rates in the 50 states reveals
that traffic death rates (deaths per 100 million motor
vehicle miles driven) can be modeled by the normal
curve. The data suggest that the distribution has a mean
of 5.3 and a standard deviation of 1.3. Sketch the normal
curve, showing the mean and standard deviation.
Thank you

Click here to see answer by jim_thompson5910(35256) About Me 

Question 341674: A complete cycle of a traffic light takes 80 seconds. During each cycle, the light is green for 40 seconds, amber for 10 seconds, and red for 30 seconds. At a randomly chosen time, what is the probability that the light will not be red?
Click here to see answer by stanbon(75887) About Me 

Question 341672: In a set of eleven different numbers, which of the following CANNOT affect the value of the median?
A. Doubling each number
B. Increasing each number by 10
C. Increasing the smallest number only
D. Decreasing the largest number only
E. Increasing the largest number only

Click here to see answer by Edwin McCravy(20054) About Me 
Question 341672: In a set of eleven different numbers, which of the following CANNOT affect the value of the median?
A. Doubling each number
B. Increasing each number by 10
C. Increasing the smallest number only
D. Decreasing the largest number only
E. Increasing the largest number only

Click here to see answer by MathTherapy(10549) About Me 

Question 341633: Heartless poker is played with a deck of cards in which all the hearts have been removed. Note that the deck now has 39 cards. Find the probability of getting a flush (five cards of the same suit) when drawing a five-card hand.
Click here to see answer by stanbon(75887) About Me 

Question 341788: if manufacture of 5 cm screws , the screw is rejected if the diameter of the screw is outside 0.05% of the designed value .in long run, 1 in every 100 screw is found to be defective . if a test sample of 10 screws is taken , find the probabilities of ;
a- no defective
b- not more than one defective
c- at least one difective

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

Question 341892: In a sample study of saws, it was found the 7% were defective. Out of a sample size of 25 saws, what is the probability that more than 5 saws will be defective?
Click here to see answer by edjones(8007) About Me 

Question 342137: In how many ways can a 10-question multple choice test be answered? Assume that there are 4 choices for each question, each question is answered, and the same choice is never made on anytwo concecutive questions (if (b) is chosen for question 1, then it will not be chosen for question 2).
Click here to see answer by stanbon(75887) About Me 

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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