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

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Question 857680: 660 pcs made 1 pc was damage what is the defect %

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Question 857674: A five-question multiple choice quiz has four choices for each answer. Find the experimental probability of getting exactly three correct answers if you guess the answers at random. Define a simulation using the random number table on page 43. Use your stimulation to find the experimental probability.
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Question 857553: (Please help?)
A stockbroker placed the following order for a customer:

• 50 shares of Kaiser Aluminum preferred at $100 a share
• 100 shares of GTE preferred at $27.20 a share
• 20 shares of Boston Edison preferred at $12.20 a share

What is the weighted arithmetic mean price per share?
$99.50
$46.85
$67.19
$27.20

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Question 857747: At a manufacturing plant where switches are made, it is a known fact that 2% of all switches are defective. If two switches are used in a device, what is the probability that both switches are good?
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Question 857758: If something was $0.40 and its increased to $0.90 what is the precent increase?
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Question 857782: A doctor knows from experience that 9% of the patients to whom she gives a certain drug will have undesirable side effects. Among the 14 patients to whom she gives the drug, find the following probabilities.
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Question 857746: given that p(a or b0=1/5,p(a)=1/6.and p9aandb0=1/9 find p(b)
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Question 857805: sarwar has alot of time on his hands so he starts to toss a coin and count the number of times it comes up heads. he finds that out of 1000 tosses he gets heads 487 times and tails 513 times. a) calculate the experimental probability of getting heads when tossing the coin, b) explain whether or not you think the coin he was tossing was a fair coin c) sarwar notices a strange thing: his last eight tosses were all tails. if he were to toss it one more time do you think it would more likely come up heads or tails? Explain
Click here to see answer by JulietG(1812) About Me 

Question 857878: The average weekly salary of 31 workers in a factory is $1350. If the salary of the manager is also included, the average becomes $1600. What is the mangers salary?
Click here to see answer by Alan3354(69443) About Me 
Question 857878: The average weekly salary of 31 workers in a factory is $1350. If the salary of the manager is also included, the average becomes $1600. What is the mangers salary?
Click here to see answer by ben720(159) About Me 

Question 857792: A multiple-choice test consists of 23 questions with possible answers of a, b, c, d, e. Estimate the probability that with random guessing, the number of correct answers is at least 8.
Click here to see answer by math-vortex(648) About Me 

Question 857897: The mean of 12 numbers is 17. If 2 is subtracted from every number, what will be the new mean?
Click here to see answer by JulietG(1812) About Me 

Question 857903: Please help me solve this question,
Assume the mean annual consumption of peanuts is normally distributed, with a mean of 4.8 pounds per person and a standard deviation of 1.6 pounds per person.
1. What percent of people annually consume less than 3.5 pounds of peanuts per person?
2.Would it be unusual for a person to consume less than 3.5 pounds of peanuts in a year? Explain.

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

Question 857896: The mean of 205 items was 41. Later on it was discovered that two items were wrongly read as 99 and 7 instead of 185 and 44. Find the correct mean.
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Question 857968: given 12 pool balls each identical in shape and colour knowing that one of the pool balls is slightly heavier or lighter than the others, in a three balance scale "weighings" identify the odd pool ball and state whether it is lighter or heavier than the rest
Click here to see answer by jim_thompson5910(35256) About Me 

Question 857990: CAN SOME ONE HELP ME ASAP! (:
An ice cream store has 4 different kinds of toppings for ice cream cones: chocolate, caramel, nuts and sprinkles. Each person can choose 2 of the 4 toppings. How many combinations of 2 different toppings can each person choose?

Click here to see answer by rothauserc(4718) About Me 

Question 858075: Suppose the scores of 500 college freshmen taking Physics 101 are normally distributed. The mean score is 60 out of 100, and the standard deviation is 10. Estimate how many grades will fall between the
interval of 30 and 90.

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Question 858068: A club with 31 members is voting on a proposal. A group of 6 has decided to vote in favor of the proposal while each of the rest of the members vote independently with a chance of 49% in favor of the proposal. What are the chances that the proposal will get the majority vote?
Click here to see answer by stanbon(75887) About Me 

Question 858063: In a society half of familiar has one child per family while remaining has 2 children per family?What is the probability that a child is picked as a sibling?
plz provide a simple solution!

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Question 858135: A national standard requires that public bridges over 20 feet in length must be inspected and rated every two years. The rating scale ranges from 0 (poorest rating) to 9 (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the 2020 the engineers forecast that 6% of all major bridges in that city will have ratings of 4 or below.
Use the forecast to find the probability that in a random sample of 8 major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020.
P(x greater than or equal to 3) round to 5 decimal places:

Click here to see answer by JulietG(1812) About Me 

Question 858001: A and B play a game in which B's probability of winning is 2/3 if they play five games what is probability A will win atleast one game
Click here to see answer by ben720(159) About Me 

Question 858193: If the degrees of freedom in a t distribution increase, difference between the t values and the z values will also increase.

True
False

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

Question 858194: Consider the following null and alternative hypotheses.
Ho: mu = 67
Ha: mu not equal to 67
These hypotheses ______________.


a. indicate a one-tailed test with a rejection area in the right tail
b. indicate a one-tailed test with a rejection area in the left tail
c. indicate a two-tailed test
d. are established incorrectly




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Question 858129: Consumer Reports rated airlines and found that 87% of the flights involved in the study arrived on time (that is, within 15 minutes of scheduled arrival time). Assuming that the on-time arrival rate is representative of the entire commercial airline industry, consider a random sample of 212 flights. (Round your answers to two decimal places.)
What is the expected number that will arrive on time?

What is the standard deviation of this distribution?

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Question 858259: In a class of 40 pupils, 18 are boys. 12 of the girls and 8 of the boys passed a
Mathematics test. If a boy is selected at random, the probability that he passed the test

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Question 858260: In a class of 42 pupils, 24 are boys and 8 of the girls wear glasses while 16 of the boys wear glasses. If a pupil is selected at random, find the probability that the pupil is a boy who does not wear glasses.
Click here to see answer by Seutip(231) About Me 

Question 858521: Professor Tough's final examination has 13
true/false questions followed by 7 multiple choice
questions. In each of the multiple choice
questions you must select the correct answer from
a list of 6. How many answer sheets are possible?

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

Question 857891: The mean of 50 observations was 160. It was detected on rechecking that the value 175 was wrongly copied as 75 for the computation of the mean. Find the correct mean.
Click here to see answer by tommyt3rd(5050) About Me 

Question 583807: How many combinations of 5 students can a teacher choose from 30 students?

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Question 858697: How many combinations of 5 students can a teacher choose from 24 students?
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Question 858472: there are 6 red pens 5 green pens 4 bluepens and 6 black pens all mixed up in a the bottom of a container. If you reach in and take a pen out without looking what is the probability of drawing a red or green pen?.
Click here to see answer by Fombitz(32388) About Me 

Question 858619: A quality control manager at a fluorescent lamp factory needs to determine whether the mean life of a large shipment of fluorescent lamps is equal to the specified value of 250 hours. State the null and alternative hypotheses.
Click here to see answer by Fombitz(32388) About Me 

Question 858772: According to records of commonwealth Edison, the mean electric consumption
during January is 1,650 kilowatt hours, with a standard deviation of 320
kilowatt hours. The monthly electric consumption for January follows a normal
distribution.
a. Selecting a customer at random, find the probability that the customer uses
less than 1,000 kilowatt hours in January.
b. Selecting a customer at random, find the probability than the customer uses
between 1,500 and 2,500 kilowatt hours in January.
c. Commonwealth Edison wants to identify its heaviest users, which are those
that are in the top 6% of electric consumption. How many kilowatt hours in
January would qualify for the heavy user classification?

Click here to see answer by psbhowmick(878) About Me 

Question 858742: A container has 50 electronic components, of which 10 are defective.
If 8 components are drawn at random from the container, what is the probability that exactly 3 of them are defective?
0.147
0.203
0.300
0.375
0.750

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

Question 858778: According to records of commonwealth Edison, the mean electric consumption
during January is 1,650 kilowatt hours, with a standard deviation of 320
kilowatt hours. The monthly electric consumption for January follows a normal
distribution.
a. Selecting a customer at random, find the probability than the customer uses
between 1,500 and 2,500 kilowatt hours in January.
b. Commonwealth Edison wants to identify its heaviest users, which are those
that are in the top 6% of electric consumption. How many kilowatt hours in
January would qualify for the heavy user classification?

Click here to see answer by psbhowmick(878) About Me 

Question 858792: You toss a coin 284 times. Find the probability that exactly 142 of the 284 tosses will be heads.
Click here to see answer by Fombitz(32388) About Me 

Question 858883: a box has pools of thread. There are 4 red, 3 yell and 2 white. Dave pics a spool and keeps it. his spool is not white. Then Sue pics a spool and keeps it. Her spool is not white. Its now teds turn to pick a spool from the box. What is the probability that his will be white.
Click here to see answer by stanbon(75887) About Me 

Question 858827: In a family with 5 children, assuming the probability of having a boy or a girl is equally likely, what is the probability of having exactly 4 boys?
Click here to see answer by math-vortex(648) About Me 

Question 858875: A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 26 components and accept the whole batch if there are fewer than 3 defectives. If a particular shipment of thousands of components actually has a 3% rate of defects, what is the probability that this whole shipment will be accepted?
A) 0.9580 B) 0.0348 C) 0.1408 D) 0.5051

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Question 858898: What is the probability of drawing a club from a deck of cards

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Question 858910: in a poll, 482 out of 1660 people said that their commute to work is more than 10 minutes.
what is the probability that a person who was polled has more than a 10 minute commute to work?

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

Question 672344: Near the time of an election, a cable news service performs an opinion poll of 1,000 probable voters. It shows that the Republican contender has an advantage of 52% to 48%.
a. Develop a 95% confidence interval for the proportion favoring the Republican candidate
b. Develop a 95% confidence interval for the proportion favoring the Republican candidate based on a sample of 3,000 probable voters.

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Question 859037: If four cards are drawn in succession and without replacement from a standard deck of fifty two cards how many sets of four cards are possible
Click here to see answer by ben720(159) About Me 

Question 859021: Suppose your vehicle is licensed in a state that issues license plates that consist of three digits (between 0 and 9) followed by three three letters (between A and Z). if a license number is selected randomly, what is the probability that yours is the selected?
Click here to see answer by Fombitz(32388) 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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