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

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Question 400083: "there are 8 green,10 red and 12 yellow balls in a basket.If we pick a ball at random what is the probability that ball is not green and red"
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Question 400099: "An experiment in a lab started with 50 bacterias. If the bacterias are spreading 100% in 1 hour. How many bacterias will be there in the lab after 24 hours"
Click here to see answer by Alan3354(69443) About Me 

Question 400076: What is the probability of a random student failing a test if 30% of students fail?
Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 400313: If your points on a cor=ordinateplane are 0,4 1,6 2,8 3,10 what is your equation?
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Question 400319: the prouduct of two numbers is 2250 their difference is 5 what are the two numbers
Click here to see answer by solver91311(24713) About Me 

Question 400329: Please help me solve this problem.



A restaurant offers a choice of 3 salads, 3 entrees, and 5 desserts. How many different meals consisting of a salad, an entrée, and a dessert are possible?

Click here to see answer by Alan3354(69443) About Me 
Question 400329: Please help me solve this problem.



A restaurant offers a choice of 3 salads, 3 entrees, and 5 desserts. How many different meals consisting of a salad, an entrée, and a dessert are possible?

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

Question 400318: Please help me solve this problem.


How many ways can you get a sum of 11 when 2 dice are thrown?

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Question 400331: Please help me solve this problem.




On a certain day there are 7 different episodes of your favorite comedy series. You can only watch 4 of these. How many choices do you have?

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Question 400386: For every 3 white marbles in the bag there are 7 black marbles. If Margaret pulls out a marble 50 times and always replaces it how many times would you expect her to pull out a black marble?
Click here to see answer by robertb(5830) About Me 

Question 400439: How would you interpret the findings of a correlation study that reported a linear correlation coefficient of − 1.34?
The only thing I know is that it represents a negative correlation. Please shed any light you can.

Click here to see answer by robertb(5830) About Me 

Question 400430: Suppose there are 35 students in a class and 30 lectures in 1 semester. If 4 students are randomly picked in a class to answer questions, what is the probability that one student is never called during the semester?
I would say almost 0% but I don't know where to begin.

Click here to see answer by stanbon(75887) About Me 
Question 400430: Suppose there are 35 students in a class and 30 lectures in 1 semester. If 4 students are randomly picked in a class to answer questions, what is the probability that one student is never called during the semester?
I would say almost 0% but I don't know where to begin.

Click here to see answer by robertb(5830) About Me 

Question 400334: Please help me solve this problem.



The probabilities of ordering 0,1,2,3, or 4 toppings on a pizza are 2/10, 5/10, 2/10, 7/100, 3/100 respectively. What is the mathematical expectation for the number of toppings ordered on a pizza? (State the answer in integer/decimal form, i.e. 1.30, .35, etc.)

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Question 400333: Please help me solve this problem.


How many different sums of money can be made from a set of coins consisting of a penny, a nickel, a dime, a quarter, a half-dollar, and a silver dollar if exactly 4 coins are used for each sum?

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Question 400327: Please help me solve this problem.


How many different arrangements can you make with the letters in the word, Mississippi?

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Question 400325: Please help me solve this problem.


Two cards are drawn in succession without replacement from a set of 10 cards. How many different sets of 2 cards are possible?



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Question 400324: Please help me solve this problem.


There are 4 roads going from city A to city B, and 5 roads going from city B to city C. How many routes are there from city A to city C?


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Question 400322: Please help me solve this problem.


Three dice are thrown. How many different outcomes are possible?

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Question 400322: Please help me solve this problem.


Three dice are thrown. How many different outcomes are possible?

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Question 400320: Please help me solve this problem.




Find C(6,3).

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Question 400020: you have ten six-sided dice in a cup. If you shake the cup, toss all
of the dice on the table at one time, and count the number of threes, how many
threes would you expect to see?
What percentage of the time would you expect to see an outcome of five
threes?

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Question 399961: A student has not studied for the above six-question quiz. Each multiple-choice question has four answers and she picks one randomly. What is the chance that she will get at least four right?
Click here to see answer by stanbon(75887) About Me 

Question 399760: We want to conduct a hypothesis test to see if a particular IQ assessment is calibrated
properly, meaning that people’s IQ according to the test is, on average, 100.
(a) What should our null hypothesis and our alternative hypothesis be?
(b) Explain what a type I error and a type II error would represent in terms of the IQ
assessment.

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Question 400557: ____________________________
|category|easy|difficult|
|music||||0.2||0.15|
|sport||||0.2||0.1|
|history||0.1||0.05|
|nature|||0.15|0.05|
____________________________
(a) i am goint to take one card at random from the box.
what is the probability that it will be:
a history question? ......
an easy question? ......
(b) there are 40 cards in the box.
how many of these are music questions? ......

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

Question 400614: a student downloaded seven music files to a portable MP3 player. In how many different orders can the songs be played?
Click here to see answer by josmiceli(19441) About Me 

Question 400800: santa is working with 20 elves. he randomly selects the names of three different elves. the first paints the trains, the second elf paints all the dollhouses, and the third paints all the wooden blocks. in how many ways can santa assign these 20 elves to these three tasks?
Click here to see answer by checkley79(3341) About Me 

Question 400785: I have 49 balls numbered. I select 6 balls and I have 150 results. Can I know very accurately the 10 next results ?

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Question 401075: A&B are two players. they need to select one number from 1to 25. if both the players select the same numbers they will win the prize. what is the probability of not winnig in a single trail
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Question 400911: A quantitative variable contains 10 observations that have a standard deviation of 10. Nine points are added to each of the 10 observations. The new standard deviation is
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Question 400989: The production manager at Bellevue Steel, a manufacturer of wheelchairs, wants to perform a second analysis of the number of defective wheelchairs produced on the day shift and afternoon shift. A sample of the production from 6 day shifts and 8 afternoon shifts revealed the following number of defects.
At the 0.10 significance level, is there a difference in the mean number of defects per shift?
Day 10 9 6 6 4 9
Afternoon 8 10 7 5 8 10 5 6
1. State the null and alternate hypotheses.

2. What is the decision rule?

3. What is the value of the test statistic?

4. What is your decision regarding the null hypothesis?

5. What is the p-value?

6. Interpret the result.

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Question 401082: Please help me solve this problem.


A fair die is rolled. Find the probability of obtaining a number greater than 3.

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Question 401082: Please help me solve this problem.


A fair die is rolled. Find the probability of obtaining a number greater than 3.

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Question 401083: Please help me solve this problem.



A coin is tossed 3 times. What is the probability of obtaining at least 1 head?

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Question 401083: Please help me solve this problem.



A coin is tossed 3 times. What is the probability of obtaining at least 1 head?

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Question 401084: Please help me solve this problem.




Two dice are rolled. Find the probability that the sum turning up is 6.

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Question 401087: Please help me solve this problem.





A box contains 9 balls numbered 1 to 9. A ball is taken at random from the box. Find the probability that the ball has an even number.

Click here to see answer by algebrahouse.com(1659) About Me 

Question 401091: Please help me solve this problem.







The probability of an event occurring is 3/8. Find the odds against the event occurring.

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 401096: Please help me solve this problem.




A card is selected at random from a deck of 52 cards. What are the odds in favor of the card being a jack? State answer in ratio format (1 to 1)





Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 401197: Four people are chosen at random from a pool of 1,000 for free tickets to a Cubs game. How many different groups can be chosen?
Click here to see answer by edjones(8007) About Me 

Question 401167: a deck of a cards is number 1 to 32, if you draw one card at random, what is the probability that the card you draw will have 5 as a factor

Click here to see answer by sofiyac(983) About Me 
Question 401167: a deck of a cards is number 1 to 32, if you draw one card at random, what is the probability that the card you draw will have 5 as a factor

Click here to see answer by richard1234(7193) About Me 

Question 401195: A light-bulb manufacturer claims that the light bulbs produced by his company have an average life of 1200 hours. A consumer agency wishes to test this claim, against the alternative of fraudulent (i.e. the alternative that average life span is less than 1200 hours). A random sample of 16 bulbs is chosen from production and tested as the life times. The summary statistics turn out to X=1148.5 hours and S^2=12544.224. Based on these summary statistics, and at the α=0.05 level of significance

a) Obtain a 100(1-α )% confidence interval for the population mean ( μ ).
b) Formulate the corresponding hypothesis and test it.
How do I do This?

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Question 401245: Please help me in answering this question. In a standard normal distribution, what is the probability of randomly selecting a value between -2.555 and -0.745? Round to four decimal places.
Also 16. Determine the appropriate approach to conduct a hypothesis test for this claim: Fewer than 5% of patients experience negative treatment effects. Sample data: Of 500 randomly selected patients, 2.2% experience negative treatment effects.
A) Use the normal distribution.
B) Use the Student t distribution.
C) Use the chi-square distribution.
D) Use nonparametric or bootstrapping methods.
Thank you

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Question 401237: find the probability that at least 3 had cd players for a sample of 9 teenagers if 60% of them had compact disk players by the age of 16
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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, 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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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