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

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Question 1180991: In a given city, the probability that a given person is taller than 180 cm is 0.25
a) If 18 people are chosen, what is the probability that at least 3 are taller than 180 cm?
b) If 18 are chosen, what is the expected number of people who are taller than 180 cm?

Click here to see answer by Solver92311(821) About Me 

Question 1180971: using the bionomial distribution find probabilities ??
3 success in 8 trails when p=0.4
2 failure in 6 trails when p=0.6
2 of fewer success in 9 trails when p=0.4

Click here to see answer by greenestamps(13196) About Me 

Question 1180992: The lifetime in hours of a brand of light bulb is normally distributed with a mean of 221 hours and a standard deviation of 7 hours.
a) What is the probability that a light bulb lasts between 215 and 234 hours?
b) What is the lifetime of a light bulb that is at the 85th percentile?

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

Question 1180989: . In a bag of 30 chocolates, 12 have vanilla filling and 18 have strawberry filling. Five chocolates are randomly chosen from the bag.
a) What is the probability of obtaining exactly 2 chocolates with strawberry filling?
b) What is the expected number of vanilla filling chocolates?

Click here to see answer by ikleyn(52756) About Me 

Question 1180997: In a bag of 30 chocolates, 12 have vanilla filling and 18 have strawberry filling. Five chocolates are randomly chosen from the bag.
a) What is the probability of obtaining exactly 2 chocolates with strawberry filling?
b) What is the expected number of vanilla filling chocolates?

Click here to see answer by ikleyn(52756) About Me 

Question 1180974: A bag contains 5 red marbles and 3 yellow marbles. What is the probability of randomly choosing a red marble, setting it aside, and then randomly choosing a yellow marble?
a. 15/56
b. 5/14
c. 3/28
d. 15/64

Click here to see answer by ikleyn(52756) About Me 

Question 1180983: F(x) =2x^2 - 3x^(4/3)
a) find critical points
b) find inflection points

Click here to see answer by MathLover1(20849) About Me 

Question 1180976: You spin a 9-section spinner with the numbers 1 through 9 in the equal-sized sections. Find the expected value for one spin.
A. 2.67
B. 5
C. 0.11
D. 4.5

Click here to see answer by ikleyn(52756) About Me 

Question 1180984: F(x) =(x^2-4)e^x
a) find inflection points

Click here to see answer by Solver92311(821) About Me 

Question 1180980: F(x) = 1/(x^2 +18x +84)
a) give the domain of f in the interval notation

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Question 1180975: A bag contains 10 marbles, and 4 of the marbles are black. Joseph chooses 2 marbles at random without replacing the first marble. What is the probability that both marbles are black?
A. 3/25
B. 2/15
C. 4/25
D. 8/45

Click here to see answer by ikleyn(52756) About Me 
Question 1180975: A bag contains 10 marbles, and 4 of the marbles are black. Joseph chooses 2 marbles at random without replacing the first marble. What is the probability that both marbles are black?
A. 3/25
B. 2/15
C. 4/25
D. 8/45

Click here to see answer by greenestamps(13196) About Me 

Question 1181017: Which of these is a non-mutually exclusive event?
A. Rolling an 8 on a six-sided die
B. Getting four 5 balls in a row from the same lottery machine with 35 balls C. Getting a head and a tail on a single coin toss
D. A pair of dice rolling 3 and 6

Click here to see answer by ikleyn(52756) About Me 

Question 1181038: Find the missing probability.
P(A∩B)=3/100,P(B|A)=3/20,P(A)=?

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

Question 1181039: There are seven nickels and five dimes in your pocket. Three times, you randomly pick a coin out of your pocket, return it to your pocket, and then mix-up the change in your pocket. All three times, the coin is a nickel. Find the probability of this occurring.
Click here to see answer by ikleyn(52756) About Me 

Question 1181046: A track team has 22 total runners. A relay race
requires four of the runners. How many different
groups of four runners can be chosen to be on the
relay team?

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Question 1181040: There are four nickels and seven dimes in your pocket. One of the nickels and one of the dimes are Canadian. The others are US currency. You randomly select a coin from your pocket. It is a dime or is Canadian currency. Find the probability of this occurring.
Click here to see answer by greenestamps(13196) About Me 

Question 1181033: F(x) =(x^2-4)e^x
a) find the inflection points
b)find the left most interval and if on this interval f is concave up or concave down
c) find the middle interval and if on this interval f is concave up or concave down
d) find the right most interval and if on this interval f is concave up or concave down

Click here to see answer by mananth(16946) About Me 

Question 1181032: F(x) =x/x^2+3x+2
a)find the domain of f in interval novation

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Question 1181032: F(x) =x/x^2+3x+2
a)find the domain of f in interval novation

Click here to see answer by josgarithmetic(39614) About Me 

Question 1181031: F(x) =1/x^2 +18x+84
a)give the domain of f in interval novation

Click here to see answer by Solver92311(821) About Me 

Question 1181087: P(A)=7/20,P(B)=3/5,P(A∩B)=21/100 ,P(A∪B)=?
Click here to see answer by ikleyn(52756) About Me 

Question 1181090: A bag contains five yellow tickets numbered one to five. The bag also contains five green tickets numbered one to five. You randomly pick a ticket. It is green or has a number greater than four. Find the probability of this occurring.

Click here to see answer by ikleyn(52756) About Me 

Question 1181086: There are five boys and five girls in a class. The teacher randomly selects three different students to answer questions. The first student is a girl, the second student is a boy, and the third student is a girl. Find the probability of this occurring.

Click here to see answer by ikleyn(52756) About Me 

Question 1181089: P(A)=11/20,P(B|A)=13/20,P(A∩B)=?
Click here to see answer by ikleyn(52756) About Me 

Question 1181088: P(A)=7/20,P(A∪B)=191/400,P(A∩B)=49/400 ,P(B)=?
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1181088: P(A)=7/20,P(A∪B)=191/400,P(A∩B)=49/400 ,P(B)=?
Click here to see answer by ikleyn(52756) About Me 

Question 1181091: A bowl contains 4 peaches and 5 apricots. Max randomly selects one, puts it back, and then randomly selects another. What is the probability that both selections were apricots?
I apologize if this isn't in the proper section, I'm not sure if it fits here.

Click here to see answer by ikleyn(52756) About Me 

Question 1181030: y=x^(7/2) - 7x^2, x>0
Find critical points

Click here to see answer by MathLover1(20849) About Me 

Question 1181104: (1): Two Coins are tossed the no of heads that shows is a r.v.(x) find:
1) Probability mass function (p.m.f).
2) Sketch (p.m.f).
3) Find (C.D.F)

Click here to see answer by ikleyn(52756) About Me 

Question 1181080: The lifespan of tires is normally distributed with a mean of 30,000 miles and a standard deviation of 2,000 miles.
a) What is the probability that a tire's lifespan is between 30,000 and 32,000 miles?
b) What is the most number of miles that the bottom 10% of tires last?
c) What is the least number of miles that the top 5% of tires last?
d) Would it be unusual for a tire to last 35,000 miles? (Y/N

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

Question 1181016: CONSTRUCT A PROBABILITY DISTRIBUTION OF TOSSING A COIN 3 TIMES AND SOLVE?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1181130: So the question I had is this

If the pizza baker scatters n pepperoni slices at random before cutting the pie, what's the probability that the pizza can be divided in half through its diameter, with all the pepperoni slices on one of the halves?

My thinking is that the answer is 1/2, but that cant be it? It seems too easy? Please help. Thank you.

Click here to see answer by Theo(13342) About Me 
Question 1181130: So the question I had is this

If the pizza baker scatters n pepperoni slices at random before cutting the pie, what's the probability that the pizza can be divided in half through its diameter, with all the pepperoni slices on one of the halves?

My thinking is that the answer is 1/2, but that cant be it? It seems too easy? Please help. Thank you.

Click here to see answer by ikleyn(52756) About Me 

Question 1181014: A drug company claims
Click here to see answer by ikleyn(52756) About Me 

Question 1181069: The average length of the time
Click here to see answer by ikleyn(52756) About Me 

Question 1181015: You wish to test the following claim
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Question 1181013: You wish to test the following
Click here to see answer by ikleyn(52756) About Me 

Question 1180879: The average length of the time
Click here to see answer by ikleyn(52756) About Me 

Question 1181142: How many different ways can the letters of ​"knitting​" be​ arranged?
The number of different ways that the letters of ​"​knitting" can be arranged is __.
​(Simplify your​ answer.)

Click here to see answer by ikleyn(52756) About Me 

Question 1181143: When eight basketball players are about to have a​ free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical​ order? Assume each player has a different name.
P(shoot free throws in alphabetical ​order) = __
​(Type an integer or a simplified​ fraction.)

Click here to see answer by ikleyn(52756) About Me 

Question 1181147: A presidential candidate plans to begin her campaign by visiting the capitals in 3 of 40 states. What is the probability that she selects the route of three specific​ capitals?
P(she selects the route of three specific ​capitals) = __.
​(Type an integer or a simplified​ fraction.)

Click here to see answer by ikleyn(52756) About Me 

Question 1181149: When testing for current in a cable with six color-coded wires, the highlight%28cross%28author%29%29 electrician used a meter
to test two wires at a time. How many different tests are required for every possible pairing of two wires?
The number of tests required is __.

Click here to see answer by ikleyn(52756) About Me 

Question 1181150: In a small private​ school, 4 students are randomly selected from 17 available students. What is the probability that they are the four youngest​ students?
The probability is __.
​(Type an integer or a simplified​ fraction.)

Click here to see answer by ikleyn(52756) About Me 

Question 1181152: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 7 locations among the 9 locations remaining. How many different routes are​ possible?
There are __ possible different routes.
(Simplify your​ answer.)

Click here to see answer by ikleyn(52756) 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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