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

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 547249: A game of chance involves spinning a wheel that has 4 equally likely areas to land on. Red, blue, green and white. If paul plays the game 5 times, what is the probability he wins 3 or fewer times?
Click here to see answer by mathie123(224)

Question 547250: The number of hours per week statistics student spend on line is normally distributed with a mean of 10 hours and a standard deviation of 2 hours. If 35 statistics student are selected at random, how many would you expect to say they spend more than 8 hours per week online ?
Click here to see answer by stanbon(75887)

Question 547624: ryan tosses 4 coins. what is the probability that all four coins will land tails up?
Click here to see answer by edjones(8007)

Question 547671: What percent of 250 is 25? Include the % sign in your answer._________
Click here to see answer by Maths68(1474)

Question 547691: choose a natural number between 1 and 22 inclusive. what is the probability that the number is a multiple of 3?
Click here to see answer by mathie123(224)

Question 547786: You have 2 letters and 9 digits, How many codes can be made if repetition is allowed?
Click here to see answer by stanbon(75887)

Question 547680: I need your help if 11 people are in a race if there is no ties how many ways can the first two places come out ? Please help thank you
Click here to see answer by stanbon(75887)

Question 547884: A survey of 1024 households found that 48% of the households own a computer. Identify the population and the sample.
Click here to see answer by jim_thompson5910(35256)

Question 548214: How many ways could 5 people finish 1st 2nd and 3rd in a race?
Click here to see answer by stanbon(75887)

Question 548209: two number cubes are rolled. find the probability that the numbers rolled are doubles and have sum that is a multiple of 4
Click here to see answer by mathie123(224)

Question 548259: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done ?

Click here to see answer by mathie123(224)

Question 548246: How do you distinguish permutations from combinations? Like words in the problem to look for?
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Question 548409: A card is selected from a standard deck of 52 playing cards.Find probablilty of:
an even number ten or less given the card is not a heart
a five given the card is a face card
an Ace, given that the card is red

Click here to see answer by stanbon(75887)

Question 548380: A computational formula for the sample variance is:
A: S2 = s*n
B: S2=∑X2-(∑X)2/N
C: S=√(S2)
D: �=S/N
E: none of the above
I can�t find this answer and don�t know where to look for it.

Click here to see answer by stanbon(75887)

Question 548372: I have 4 questions:
What is the formula for the sample mean?
what is a formula for the sample variance?
What is a formula for the sample standard deviation?
what is a computational formula for the sample variance?
Do you know of any place I can find this information on my own?
Click here to see answer by stanbon(75887)

Question 548340: If my f-value is 13.9773 and my p-value is 0.0003029, what does that mean?
Click here to see answer by stanbon(75887)

Question 548332: A TV executive is interested in the popularity of a particular cable TV show. She has been told that a whopping of American households would be interested in tuning in to a new network version of the show. If this is correct, what is the probability that all of the households in her city being monitored by the TV industry would tune in to the new show? Assume that the households constitute a random sample of American households.
Click here to see answer by stanbon(75887)

Question 548363: The union for a particular industry has determined that the standard deviation of the daily wages of its workers is $20. A random sample of 50 workers in this industry has a mean daily wage of $12. Find a 99% confidence interval for the true mean daily wage of all union workers in the industry. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
What is the lower limit of the 99% confidence interval
What is the upper limit of the 99% confidence interval
Click here to see answer by stanbon(75887)

Question 548423: Empirical rule, I am having difficulty working all the steps. If someone could show each step it would be very helpful.
At one college GPA's are normally distributed with a mean of 2.8 and a standard deviation of .5. What percentage of students at the college have a GPA between 2.3 and 3.3?
a)84.13% b)99.74% c) 68.26% d) 95.44%
I choose answer A, but am not sure how I came up with that answer after working problem. I have not been in school in 25 years and have never done this kind of math. Any help you provide would be greatly appriciated.
Wanda Dennis
Click here to see answer by stanbon(75887)

Question 548417: I can't seem to get this at all and would appreciate some help
A political strategist believes that at least 58% of voters in a certain state support his candidate. He then commissions a poll of 1000 voters and 60% of them support his candidate. At α = .05, test the claim.
a) State the hypotheses and identify the claim
b) Find the critical values
c) Compute the test values
d) Make the decision
e) Summarize the results

Click here to see answer by stanbon(75887)

Question 548416: Given that P(A) = 0.5, P (B) =0.3, and P(A and B) = 0.10, determine P(AlB)
Click here to see answer by Edwin McCravy(20054)

Question 548471: what is the probability that a person will watch the 6:00 evening news is 0.15?
Click here to see answer by Alan3354(69443)

Question 548438: there are 7 marbles in a jar; 4 white 2 red one blue
how many random 3 marble selections are possible

Click here to see answer by stanbon(75887)

Question 548508: Dear team,
Please could you Help me with the task below!
The sum of abcde and edcba is a five-digit number and is a multiple of 11111
Also the number abcde is a multiple of seven and the sum of its digits is 10
(a,b,c,d and e are all different digits)
Find the number abcde
And then using ANY mathematical operations (such as +; -; *; /; Log; etc.)
between the digits abcde in THIS sequence get the result to be 20
I need to send this by Sunday 19 december if possible!
Hoping this is not to much trouble.
Thank you.
Kindest wishes
Nasy
Click here to see answer by Edwin McCravy(20054)

Question 547845: Two dice are tossed and various amounts are paid according to the outcome. In a certain game if a nine or ten occurs on the first roll the players wins. what is the probability of winning on the first roll.
Click here to see answer by bucky(2189)

Question 548662: A parent can choose from 7 types of protein, 5 vegeatables, and 3 desserts. if the parent serves a meal of 1 protein, 1 vegetable, and 1 dessert, how many different meals can be served?
Click here to see answer by jim_thompson5910(35256)

Question 548655: A mini license plate must consist of two letters followed by a one digit odd number. Each letter must be a K or Q. Repetition on letters not permitted.
use counting principle to determine the number of points in the sample space
construct a tree diagram
determine the exact probability of creating a mini license with a 3
give solution exactly in reduced fraction form

Click here to see answer by edjones(8007)

Question 548642: What is the chance of spinning a 4?
What is the chance that the spinner will stop on an odd number?

Click here to see answer by edjones(8007)

Question 548693: Please help, A probability experiment has two steps. There are two possible results for the first step, call them "A" and "B". If the result for the first step was "A", then there would be 4 possible results for the second step. If the result for the first step was "B", then there would be 13 possible results for the second step. How many possible outcomes are there for this experiment?
Click here to see answer by edjones(8007)

Question 548695: Please help, At Italiano Express, 85% of the customers order pizza. It is also noticed that 55% of the customers order pizza and a salad. Find the probability that a customer will order a salad given that they have ordered a pizza.
Click here to see answer by edjones(8007)

Question 548865: A lumber company needs to estimate the volume of wood a load of timber will produce.The supervisor knows that the volume of wood in a tree varies jointly as the height h and the square of the tree's girth g.The supervisor observes that a tree 40 meters tall with a girth of 1.5 meters produces 288 cubic meters of wood.
a)Write an equation that represents this situation.
b)What volume of wood can the supervisor expect to obtain from 50 trees averaging 75 meters in height and 2 meters in girth?
Click here to see answer by stanbon(75887)

Question 548870: A manufacturing process has 91% yield, which means 91% of the products are acceptable. If six of the products are randomly selected (with replacement), find the probability that all are acceptable.
Is this a combination problem where nCr is used?
Am I supposed to use a population parameter? (p = .91)

Click here to see answer by stanbon(75887)

Question 548826: A random sample of health maintenance organizations (HMOs) was selected. For each HMO, the co-payment (in dollars) for a doctor's office visit was recorded. The results are as follows:
9,11,9,7,8,6,11,10,5,12,5,7,6,12,12,9,7,5,10,11
Under the assumption that co-payment amounts are normally distributed, find a confidence interval for the mean co-payment amount in dollars.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
a)What is the lower limit of the confidence interval?
b)What is the upper limit of the confidence interval?

Click here to see answer by stanbon(75887)

Question 548281: If a couple has 7 kids what is the probability they will have 3 boys or 3 girls?

Click here to see answer by SwiftAlbatross(13)

Question 548937: Determine m and b in each application and explain their meaning.

� Computer Repair. The cost R(t),in dollars, of computer repair at PC Pros is given by
R(t) = 50t + 35,
where t is the number of hours that the repair requires.

Click here to see answer by mananth(16946)

Question 548931: The Roper Organization conducted identical surveys in 1990 and 2000. One question asked women was, �Are most men basically kind, gentle, and thoughtful?� The 1990 survey revealed that, of the 3,000 women surveyed, 2,010 said that they were. In 2000, 1,530 of the 3,000 women surveyed thought that men were kind, gentle, and thoughtful. At the .05 level, can we conclude that women think men are less kind, gentle, and thoughtful in 2000 compared with 1990?
Please help me answer this question for my statistics class I really have no clue.
Thank you
Click here to see answer by stanbon(75887)

Question 548982: Ten percent of the population is left handed. What is the probability that in a group of 10 people, at least two will be left handed?
Click here to see answer by mathie123(224)

Question 548996: I am really lost with this concept:
Factorial expressions
Find the value of the following:

If your answer is not an integer, write it as an exact fraction.
Click here to see answer by Alan3354(69443)

Question 549027: In a pizza restaurant, 95% of the customers order pizza. If 65% of the customers order pizza and a salad, find the probability that a customer order a pizza he will not order salad.
Click here to see answer by mathie123(224)

Question 549048: In a class of 15 people exactly 3 got A's. If two people are randomly chosen from this class, what is the probability that at least one of these two people got and A?
Click here to see answer by stanbon(75887)

Question 549160: The following are all 6 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale.
10,6,7,6,5,8
Assuming that these scores constitute an entire population, find the standard deviation of the population. Round your answer to at least two decimal places
Click here to see answer by stanbon(75887)

Question 549032: A person scores a 81 on a test of verbal ability and a 6.4 on a tesat of quantitative ability. For the verbal ability test, the mean for people in general is 50 and the standard deviation is 20. For the quantitative ability test, the mean for people in general is 0 and the standard deviation is 5. Which is the persons stronger ability: verbal of quatitative? explain your answer to a person who has never hada course in statistics.
Click here to see answer by stanbon(75887)

Question 549244: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02 What is the probability that (a) both will fail? (b)neither will fail? (c) one of the other will fail? show all steps carefully.
Click here to see answer by stanbon(75887)

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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