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

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

Question 873473: a basketball player makes each free throw with probability of .75. what is the probability of making 68 or more shots out of 75 trails?
Click here to see answer by stanbon(75887)

Question 873468: There are 10 seniors, 8 juniors, 6 sophomores, and 4 freshmen on the bowling team. Mr. PIN wants to send one student from each grade to a tournament. What is the probability that he sends 1 senior, 1 junior, 1 sophomore, and 1 freshman to the tournament?
Click here to see answer by stanbon(75887)

Question 873459: In a raffle contest, there are 45 blue tickets and 5 gold tickets in a bag. Contestants are given three chances to draw a ticket, and each time they draw a gold ticket, they receive a prize. However, if someone draws a gold ticket on ALL THREE DRAWS, they win a new car. If the tickets are not replaced after each draw, what is the probability of winning the new car?

Click here to see answer by stanbon(75887)

Question 873585: Dear Sirs,
I have a Q, I tried many times but it is still not right. Given that X is a random variable for a normal distribution with mean μ = 54.3 and standard deviation σ = 8.9 find P(X > 35.076).
Please help
Regards
Thong

Click here to see answer by rothauserc(4718)

Question 873612: Suppose that E and F are two mutually exclusive events with the following probabilities: P(A)=0.47 and P(A or B)=0.53
a) What is the probability of event B?
b) Are the events A and B independent?
Could you explain this questions when you answer them. Don't understand.
Click here to see answer by Fombitz(32388)

Question 873634: Suppose 5 cards are drawn, without replacement, from a standard bridge deck of 52 cards. Find the probability of drawing...
a) all diamonds
b) all aces
c) 4 clubs and 1 non-club
Can you explain. Don't understand how to solve.
Click here to see answer by ewatrrr(24785)

Question 873655: Construct the confidence interval for the population mean μ.
c = 0.95, (x ) ̅= 15.6, s = 3.0, and n = 40
A 95% confidence interval for μ is ( , ).

Click here to see answer by ewatrrr(24785)

Question 873658: Find the probability of 4 successes in 6 trials for the probability of success p = 0.3 on each trial
Click here to see answer by ewatrrr(24785)

Question 873675: This is a confidence interval question
A company manufactured a new type of lamp. A sample of 15 lamps is tested and sample mean was to be found 2500 hours and standered deviation is 250 hours,determine 90% confidence interval for mean life of lamp
Click here to see answer by ewatrrr(24785)

Question 873681: A computer password is to consist of four alphanumeric characters with no repeats. How many such passwords are there? How many are there if the letter O and the number 0 are excluded to avoid confusion?
Click here to see answer by ewatrrr(24785)

Question 873694: if probability of horse a winning a race is 1/6 b wins race is 1/4 what is probability that 1 horse will win
Click here to see answer by Karanm02(3)

Question 873695: If the probability of getting caught copying someone else�s exam is 0.2, find the probability that in a total of 7 attempts a person get caught exactly 4 times.
Click here to see answer by ewatrrr(24785)

Question 873715: bag contains 20 discs numbered 1 to 20 a disc is drawn from bag probability that number on it is multiple of 3
Click here to see answer by Fombitz(32388)

Question 873722: Hi, If anyone could help with show me where I have gone wrong in this question it would be greatly appreciated...
THE QUESTION
It is estimated that 723,165 children were born in the UK in 2010. The population of the UK at that time was approximately 62 million, and the number of people living in Sheffield was around 555,000. Assuming that Sheffield is typical of places in the UK, and that births are equally likely to occur on any day of the year, what is the probability that exactly 20 children were born in Sheffield on 6th June 2010? Give your answer to 1 decimal place.
MY WORKING
Firstly I decided to get the percentage of babies born out of the total population so I did 723,165/62,000,000
I then multiplied this percentage by the population in Sheffield to get the population of babies born in sheffield which came out as 6473
I then did the 20/6473 and multiplied by 1/365... The probability was a lot smaller than expected as it came out as 0.0008% so I'm sure I have got it wrong, but I cant figure out where... Help please
Click here to see answer by ewatrrr(24785)

Question 873728: a beg contain 5 red and 6 black balls if 2 balls are selected at random what is probablity of gettimg
1 both balls of same clour
Click here to see answer by ewatrrr(24785)

Question 873709: 7 distinct things are to be divided in groups consist 2,2,3 things number of ways this can be done equal to

Click here to see answer by ewatrrr(24785)

Question 873691: a card is drawn from a 2 well-shuffled pack. what is probability atleast one of them is ace
Click here to see answer by Fombitz(32388)

Question 873741: Josh believes the Spanish club students at his school have an unfair advantage in being assigned to the Spanish class they request. He asked 500 students at his school the following questions: "Are you in the Spanish club?" and "Did you get the Spanish class you requested?" The results are shown in the table below. 
Spanish Club Not in Spanish Club Total
Received Spanish class requested 265 100 365
Did not get Spanish class requested 70 65 135
Total 335 165 500
Help Josh determine if all students at his school have an equal opportunity to get the Spanish class they requested. Show your work and explain your process for determining the fairness of the class assignment process.

Click here to see answer by richwmiller(17219)

Question 873743: Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with = 2.8%. A random sample of 16 Australian bank stocks has a sample mean dividend yield of 8.91%. For the entire Australian stock market, the mean dividend yield is = 6.4%. If you wanted to test, at a .05 level of significance, to determine if these data indicate that the dividend yield of all Australian bank stocks is higher than 6.4% what is the critical value that you would use?
Click here to see answer by ewatrrr(24785)

Question 873463: Find the probability of selecting two defective computer chips from a very large batch in which the defect rate is 2.3%. (Hint: the batch is large enough that we can assume independence for the draws.)
Click here to see answer by Fombitz(32388)

Question 873797: An automotive battery company claims its new battery DY-HARD has a mean life of 60 months. Assume the population standard deviation is 9 months. If consumer group selects a random sample of 144 batteries and tests them, what is the probability that the mean life will be more than 62 months?
Click here to see answer by ewatrrr(24785)

Question 873795: Assuming the IQ scores of a distribution of 6,000 college-aged students is bell-shaped with a mean of 110 and a standard deviation of 6. Find the IQ score that is one standard deviations above the mean. (round to the nearest whole number)
Click here to see answer by ewatrrr(24785)

Question 873841: Looking at IQ-Tests, let us assume a standard IQ design that is �=100 and σ=15 to answer the question.
From what score to what other score accounts for the middle 50 percent? What actual score corresponds to the top 80th percentile?
I believe this has something to do with converting to a z-score, but I am not sure where to start.
Click here to see answer by reviewermath(1029)

Question 873922: what is the probability that you will roll a 5 on a toss of a six-sided number cube? what are the odds?
Click here to see answer by jim_thompson5910(35256)

Question 873937: A bag contains 12 marbles of which 7 are white, 3 are black and the rest are red. A white marble is withdrawn. What is the probability that the next marble withdrawn is also white?
Click here to see answer by jim_thompson5910(35256)

Question 873934: In how many ways can a student select 3 books and 4 movies to do book reports on from a potential list of 8 books and 8 movies?
Click here to see answer by jim_thompson5910(35256)

Question 873942: The test is only 75 questions and you must get 90% or higher to continue on to the next course. Howmany can you get wrong??
I tried to divide 100 � 75 = 1.3333333
Then multiple that 1.33333� 75
My answer was 1.
If this is correct that means you can only get one wrong.
Click here to see answer by jim_thompson5910(35256)

Question 873941: In how many ways could a committee of five people be selected from eight females and six males if the committee must have more females than males and each gender must be represented.
Click here to see answer by jim_thompson5910(35256)

Question 873940: A bucket contains 10 balls labeled as follows: A,A,B,C,C,C,C,D,E,E
What is the probability of drawing a ball labeled C? Express the probability as a decimal.
What is the probability of drawing a ball labeled with something other than a B? Express the probability as a percent.
What is the probability of drawing an A,replacing it and then drawing A? Express the probability as a fraction in simplest form.
What is the probability of drawing an E, NOT replacing it and then C. Express the probability as a percent
What is the probability of drawing an A or B? Express the probability as a decimal.
Click here to see answer by jim_thompson5910(35256)

Question 873974: Two fair dice are thrown, find the probability of getting:
1= A double six
2= A doublet
3= Sum of two dice will be eleven
4= The sum is at least 8
5= Sum of number is less than 6
6= Sum of number is 7.
Click here to see answer by Fombitz(32388)

Question 873948: A bag contains 2 red, 3 green, and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

Click here to see answer by ewatrrr(24785)

Question 873913: in how many ways can the number cubes land so that their sum is 5?
Click here to see answer by Fombitz(32388)

Question 873838: There are 6 blue gumballs in the gumball machine. If the probability of drawing a blue gumball is �, how many gumballs are in the machine?��

Click here to see answer by Fombitz(32388)

Question 873947: find the range, the standard deviation and the variance for the given sample: 2, 7, 14, 22, 30, 48
Click here to see answer by ewatrrr(24785)

Question 873944: 30% of the population of particular country favour the political party BNM. Suppose that a sample of 15 persons were randomly selected and interviewed. What is the probability that
1) exactly 2 of them would favour BNM?
2)less than 14 of them would favour BNM?
3) What is the variance of the random variable X, where X is the number of persons in the sample who supported BNM?
Suppose a random sample of 120 persons are selected. How many persons should one expect to not be supporters of BNM?

Click here to see answer by ewatrrr(24785)

Question 873946: In how many ways can a research lab director fill two chemist vacancies from a pool of seven applicants and three physicist vacancies from a pool of nine applicants?
Click here to see answer by ewatrrr(24785)

Question 873954: A dealer bought a diamond for #x and sold it for 165500.What was the profit.
Click here to see answer by ewatrrr(24785)

Question 873994: James believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below.

Honor roll Not on honor roll Total
Received math class requested 315 64 379
Did not get math class requested 41 80 121
Total 356 144 500

Help James determine if all students at his school have an equal opportunity to get the math class they requested. Show your work and explain your process for determining the fairness of the class assignment process.
Click here to see answer by ewatrrr(24785)

Question 874002: A standard cube is tossed, find each probability
1) P(4 or less than 6)

Click here to see answer by ewatrrr(24785)

Question 874013: A population has a mean of 45 and a standard deviation of 6. Find the raw score for a z-score of .8
Click here to see answer by ewatrrr(24785)

Question 874013: A population has a mean of 45 and a standard deviation of 6. Find the raw score for a z-score of .8
Click here to see answer by Fombitz(32388)

Question 874036: It is known that when a particular 4-sided die is rolled a 1 occurs 30% of the time, a 2 occurs 20% of the time, a 3 occurs 25.9% of the time, and a 4 occurs 23.1% of the time. Any help would be greatly appreciated.
a) If the die is rolled 17 times, what is the probability that an odd number occurs exactly 9 times?
b) What is the expected value of a single roll of the die?

Click here to see answer by ewatrrr(24785)

Question 874038: a big - screen tv that perviously sold fo 2,400 has been marked down to 2,040 what is the percent of decrease

Click here to see answer by Theo(13342)

Question 874142: The owner of a restaurant asks customers
to rank the service of the waitstaff on a
scale from one to five. What type of data
does this represent

Click here to see answer by jim_thompson5910(35256)

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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