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

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

Question 418979: In a certain experiment, the probability of an error is 1%, or 0.01. If the experiment is repeated four times, find the probability that at least one of the trials will result in an error
Click here to see answer by stanbon(75887)

Question 418984: A box contains six ham and four cheese sandwiches. Two sandwiches are randomly selected and eaten. What is the probability that both are ham sandwiches?
Click here to see answer by stanbon(75887)

Question 419072: Write the next equation in the pattern.
2 - 1 = 1
3 - 2 = 1
5 - 3 = 2
8 - 5 = 3

Click here to see answer by solver91311(24713)

Question 418557: a card is taken out from a deck of 52 cards.what is the probability that the card that is taken out is in the multiple of three?
Click here to see answer by richard1234(7193)

Question 419088: In a recent exit poll, 60% of the respondents felt that the country was generally going in the right direction. Twenty-four percent of the respondents were Republicans who felt that the country was generally going in the right direction. If a person in this poll felt that the country was generally going in the right direction, find the probability that the person was Republican
Click here to see answer by edjones(8007)

Question 419105: An urn contains 3 red balls, 4 white balls, and 5 blue balls. A ball is drawn at a random and its color is noted. A second ball is then drawn, without replacing the first ball, and its color is noted. Find the following probabilities.
(a) The first ball is red
(b ) The second ball is white given the first ball is red
(c ) The first ball is red and the second ball is white
Click here to see answer by sudhanshu_kmr(1152)

Question 419139: One card is drawn at random from a deck of 52 cards. What is the probability of drawing an ace?
Click here to see answer by ewatrrr(24785)

Question 419138: A card is drawn at random from a 52-card deck. What is the probability that the card is an ace or a spade?
Click here to see answer by ewatrrr(24785)

Question 419120: . Several students are unprepared for a multiple-choice quiz with 20 questions, and all of their answere are guesses. Each question has 4 possible answers, and only one of them is correct.
A) Find the mean and standard deviation for the number of correct answers for such students.
B) Would it be unusual for a student to pass by guessing and getting at least 16 correct answers? Why or why not?
Click here to see answer by ewatrrr(24785)

Question 419141: The heights of Jake and his brothers are listed below.
5 ft 6 in. 5 ft 9in. 5ft 11 in. 5 ft 10 in. 5 ft 11 in.
1. What is the mean height, in inches,of Jake and his brothers?
2. What is the median height, in inches,of Jake and his brothers?
Click here to see answer by ewatrrr(24785)

Question 419158: suppose you roll two dice find the probability of not rolling a sum of 7
Click here to see answer by ewatrrr(24785)

Question 419140: A standard 6-sided die is rolled once and a quarter is tossed once. What is the number of possible outcomes?
Click here to see answer by ewatrrr(24785)

Question 419171: Manufacturer reliability ratings indicate that 9% of flux capacitors will fail at their scheduled lifetime of 2 years.
a.Given a random sample of 10 2-year-old flux capacitors, what is the probability
that 3 will have failed?
b.Suppose you do find that 3 have failed. What inference do you make?

This is the question as is. Please do not solve it for me, as I want to know how to do it.
My thoughts are:
That this is a exponential distribution problem (more specifically a survival).
I have equations for Length of life, and reliability, but I am having trouble figuring out where the information I am given goes into it.
So far I was thinking that Lambda = 2 years (nominal fail)
but that the problem is asking me directly fail rate AT the two year point does that mean the location factor is 2? (positive for shifting forward in time)
But I am not sure in this case if the sample size should have anything to do with the problem. (my initial thought is no)
I understand that part b is relating the output of part a with the 9% reliability rate, and probably wanting to know if an exponential model is the correct model. (If I am way off on thought, please tell me)
Thank you much for your time!

Click here to see answer by stanbon(75887)

Question 419164: The G.F packs 'shrimphs' in three categories:"small", Medium and Large, with average weight of 1.4kgs and standard deviation of 0.6kgs. if a pack weight more than 1.91kgs, it is marked 'large'. if a pack weight less than 0.47kgs, it is marked as small.A pack weighing in between 0.47kgs to 1.91kgs is marked as medium. identify the proportion of packs in each category:
weight: more than 1.91kgs between 1.91kgs & .47kgs less than .47kgs
category: large medium small
Prop. of Packs: - - -
Click here to see answer by stanbon(75887)

Question 419253: Please help me with my math homework:
1. A quiz consists of 5 multiple-choice questions, each has three possible answers. In how many different ways can the quiz be answered if an answer is chosen for each question?
I said 5 x 3 = 15
2. In how many ways can three different math books and four different English books be arranged in a row if the books for each subject are placed together?
3 x 4 = 12
3. In how many different ways can three finalists be selected from 15 job applicants for a second round interview?
15 x 3 = 45
4. Fifteen dogs enter a Goofy Dog contest. In how many different ways can a champion, a first runner-up, and a second runner-up be selected?
15 x 3 = 45
Is this correct?
Click here to see answer by Alan3354(69443)

Question 419291: A drawer contains 4 red socks, 10 white socks, and 9 blue socks. Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the first sock and the second sock are both red?
Click here to see answer by sudhanshu_kmr(1152)

Question 419238: A quiz has five multiple-choice questions, each with 4 possible answers. If the quiz is solved by guessing, find the probability that at least one answer is correct
Click here to see answer by ewatrrr(24785)

Question 419276: Please help with this homework:
In how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of at least one cat?
Click here to see answer by sudhanshu_kmr(1152)

Question 419299: A multiple choice test has 100 questions. For subjects making random guesses for each answer, the mean number of correct answers is 20.0 and the standard deviation of the numbers of correct answers is 4.0. For someone making random guesses for all answers, is it unusual to get 35 correct answers?
Click here to see answer by ewatrrr(24785)

Question 419308: Mary purchased a package of 11 different plants, but she only needed 8 plants for planting. In how many ways can she select the 8 plants from the package to be planted?
Click here to see answer by sudhanshu_kmr(1152)

Question 419360: A BOX CONTAINS 12 RED T-SHIRTS AND 18 BLACK T-SHIRTS.
FIND THE PROBABILITY OF RANDOMLY SELECTING 3 DIFFERENT BLACK T-SHIRTS IN SUCCESION.....

Click here to see answer by stanbon(75887)

Question 419353: ......= PASS FAIL TOTAL
MALE = 28 17 45
FEMALE= 21 19 40
TOTAL = 49 36 85

COMPUTE THE PROBABILTY OF RANDOMLY SELECTING A FEMALE OR A PERSON WHO PASSED?.....
Click here to see answer by ewatrrr(24785)

Question 419380: IF THE ODDS AGAINST AN EVENT 'A' IS GIVEN AS 4:7, WE CAN CONCLUDE THAT THE PROBABILITY OF EVENT 'A' OCCURING IS .............?

MY ANSWER: 7/11
Click here to see answer by ewatrrr(24785)

Question 419386: IF A STUDENT GUESSES THE ANSWER TO A MULTIPLE CHOICE QUESTION (consisting of 5 possibile answers of which only one is correct) then the odds against the student answering the queastion correctly is.........; and the odds in favor are.......?

my working:
4:1
1:4
Click here to see answer by ewatrrr(24785)

Question 419384: IF A FAIR COIN IS FLIPPED 3 TIMES, THE ODDS IN FAVOR OF GETTING ALL HEADS IS GIVEN AS .......; AND.......?

MY WORKING:
1/2 X 1/2 X 1/2 = 1/2 = 1:2 ?????
Click here to see answer by sudhanshu_kmr(1152)

Question 419378: ON A SINGLE ROLL OF A DIE, THE PROBABILITY OF GETTING EITHER AN ODD NUMBER OR A NUMBER THAT IS GREATER THEN 3 IS..........?

MY ANSWER: 5/6
Click here to see answer by sudhanshu_kmr(1152)

Question 419375: FROM A STANDARD DECK OF PLAYING CARDS, THE ODDS AGAINST SELECTING EITHER A TEN OR A JACK IS..........?

MY WORKING:
44/12 / 8/52 = 11:2 ???/
Click here to see answer by sudhanshu_kmr(1152)

Question 419430: what is the best method to solve 4x+8y=20
-4x+2y=-30
Click here to see answer by Gogonati(855)

Question 419631: If four times as many students pass a statistics course as those who fail and one statistics student is selected at random, what is the probability that the student will pass statistics?
Click here to see answer by sudhanshu_kmr(1152)

Question 419626: There are 5 brown, 6 red and 4 white marbles in a hat. You pick 4 marbles from the hat. Marbles are not returned after they have been drawn. Find the probability of drawing 4 white in a row.

Click here to see answer by sudhanshu_kmr(1152)

Question 419763: a jar contains 7 green, 19 black and 13 pik marbles. A marble is drawn at random. What is the probability of it being a green or black?
Click here to see answer by ewatrrr(24785)

Question 419669: A standard deck of cards is made up of 4 suits with 13 cards in each suit. If we randomly sample five cards from a standard poker deck, find the probability that all five cards selected are clubs.

Click here to see answer by ewatrrr(24785)

Question 419778: a machine is producing parts that on average a 0.5 probability of being defective. if a random sample of 5 parts is selected and each part is tested, find the fallowing probabilities
a) getting exactly 1 defective part?
b)getting no defective part?
c) getting at most 1 defective part?
d) getting atleast 1 defective part e) getting 5 defective parts?
Click here to see answer by stanbon(75887)

Question 419808: A system with tree components fails if one or more components fail. The probability that any given component will fail is 1/10. What is the probability that the system will fail?
Click here to see answer by sudhanshu_kmr(1152)

Question 419830: I need help with this problem from my homework.
1. In how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of exactly 3 dogs and 4 cats?
The answer is not 35.
Click here to see answer by sudhanshu_kmr(1152)

Question 419831: Assist me with this difficult homework problem:
1. A survey of 51 pet owners revealed that 24 owned dogs, 28 owned cats, 11 owned turtles, 12 owned both dogs and cats, 7 owned both dogs and turtles, 3 owned both cats and turtles, and 2 owned all three. Find the number of pet owners who owned none of the three lovely animals.
The answer is not 26.
Click here to see answer by sudhanshu_kmr(1152)

Question 419824: I asked for assistance on these problems and got incorrect answers. Please help me find the right answers.
1. In how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of exactly 3 dogs and 4 cats?
The answer is not 35.
2. A survey of 51 pet owners revealed that 24 owned dogs, 28 owned cats, 11 owned turtles, 12 owned both dogs and cats, 7 owned both dogs and turtles, 3 owned both cats and turtles, and 2 owned all three. Find the number of pet owners who owned none of the three lovely animals.
The answer is not 26.
3. Suppose one can move only down or to the right. How many of the routes from A to B pass through C?
There are 5 rows and 7 columns. A is in the upper left corner and B is in the lower right corner. C is located 3 columns over and two rows down starting at A.
A[][][][][][][]
[][][C][][][][]
[][][ ][][][][]
[][][ ][][][][]
[][][][][][][]B
I said 5^7 = 78,125 but this was incorrect. Please help
Click here to see answer by scott8148(6628)

Question 419865: what is 5! / [(3!)(2!)]
Click here to see answer by richard1234(7193)

Question 419833: If a student thinks of a number form 1 through 50 what is the probability the number will be prime?
Click here to see answer by richard1234(7193)

Question 419917: Find the answer to the following:
P(z<−0.43)
Click here to see answer by stanbon(75887)

Question 420022: Imagine you have 8 colored balls in a bag: 2 yellow, 2 red, 2 blue, and 2 green. If you pull out 4 balls, what is the probability that you have pulled out one of each color?

Click here to see answer by sudhanshu_kmr(1152)

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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