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

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

Question 955023: If X has a normal distribution with mean 80 and standard deviation 12, what is the distribution of the mean of a sample of 9 of these values? Give the values of the parameters.
Click here to see answer by stanbon(75887)

Question 955021: The lengths of narbles are normally distributed with a mean of 3.9m and a standard deviation of 1.8m. Seventy-five percent of the narbles are less than what amount?
Click here to see answer by stanbon(75887)

Question 954992: Of all the trees planted by a landscaping firm, 35% survive. What is the probability that 8 or more of the 10 trees they just planted will survive? (Use a table of binomial probabilities. Give your answer correct to four decimal places.)
Click here to see answer by stanbon(75887)

Question 955083: if the probability of a person being absent is 0.17, what is the probability of the pupil is present..?
Click here to see answer by Fombitz(32388)

Question 955081: if the probability of a pupil being absent is 0.17, what is the probability of a pupil being present..?
Click here to see answer by Fombitz(32388)

Question 954254: Phil makes 3/5 of his free throws. What's the probability of him making exactly 2 out of 3 shots
Click here to see answer by Fombitz(32388)

Question 955213: Musquodoboit World Airways operates a fleet of small passenger planes. Like most major airlines it has a
problem with no-shows, people who make reservations, but don't show up for their flight or cancel at the
last minute. Their no-show rate is 20%, comparable to the industry average. One type of aircraft used by
MWA can accommodate up to 16 passengers.
a) If they accept 16 reservations, what is the probability that the plane departs with every seat filled (0 noshows)?
b) As is common in the industry, MWA overbooks its flights. For this size aircraft, it accepts up to 17
reservations. Suppose that MWA has accepted 17 reservations for a particular flight. What is the
probability that everyone who shows up will get a seat?
Click here to see answer by stanbon(75887)

Question 954077: 1. The mean annual cost of auto insurance is $939. Assume a standard deviation of $245.

a. What is the probability that 30 randomly sampled auto policies will have a sample mean within $25 of the population mean?

Click here to see answer by bjcarpio(1)

Question 955208: Each of the customers surveyed at west motor sales indicated one of the six colors shown in the graph above as his or her favorite color for a new car. If a customer is to be chosen at random from those surveyed what is the probability that the customer will be one who answered black?
Click here to see answer by Fombitz(32388)

Question 955324: A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available?
Click here to see answer by stanbon(75887)

Question 955332: A bag contains cards numbered from 1 to 14. One card is drawn at random. Find the probability of selecting a card that is not a 7 . Write your answer as a fraction, and do not reduce.
Click here to see answer by Fombitz(32388)

Question 955360: i just need someone to check and see if these Probability and Statistics questions are right .....
A. Jose spins the spinner 8 times. In those 8 spins, the arrow never lands on 3. Based on this information, is the spinner unfair? Explain.
Well there only one number 3 so that will be (1/4) that equals 25% the spinner together equals 100% so if the spinner is spin 8 times and doesn't land on a 3 he should be concerned.
Jose spins the spinner 500 times. In those 500 spins, the arrow lands on 3 a total of 42 times. Based on this information, should Jose be concerned that the spinner is unfair? Explain.Yes the spinner is begin unfair again he has a 25% chance to get the 3 if you multiply 25% by 500 you get 125 if you divide 125 by 500 it equals 25% again so if 42/500 equals 8.4% you know something has to be wrong

Click here to see answer by Fombitz(32388)

Question 955372: A person's phone requires a 5 digit password. How many passwords are possible if you can never have the same digit in back to back order?
Click here to see answer by Fombitz(32388)

Question 955371: In Canada, postal codes consist of 6 characters- 3 letters and 3 digits. Each postal code starts with a letter and alternates with a digit. How many postal cards are there that start with a vowel(NOT Y) and end in an even number?
Click here to see answer by josmiceli(19441)

Question 955368: A person's phone requires 5 digit password. How many passwords are possible if the 4th digit must be an odd number and the 5th digit must be an even number?
Click here to see answer by josmiceli(19441)

Question 955359: Table of Data includes:
Population in the United States as a function of time
x(years since 1920):{0,10,20,30,40,50,60,70,80,90}
y(Population in millions): {106,123.2,132.2,151.3,179.3,203.3,226.5,248.7,281.4,308.7}
Find:
1). Draw a scatter plot : Done already
2). Use calculator to find "the line of best fit" for this data. Show the equation.
I found approximately y=2.28x+93.41
3). What is the slope of the line? I know it is 2.28
What is the meaning in this application? (Give its units.)
I believe the meaning is to go up 2.28 and over one. In units I would say roughly twenty but I was hoping for better help in a translation of this answer. I believe I am incorrect.
4). By hand, develop an exponential model of the form A=Aoe^kt using the data from 1920 and 2000. Round the value of k to 4 decimal places.
I am unsure on how to do this.
5). Use your calculator to find "exponential function of best fit" for this data. Show the equation.
y=106.726(1.0124)^x
6). use function found in 5) to determine the annual percentage rate of growth of the United States
I assume 1.24%
Click here to see answer by Fombitz(32388)

Question 955390: What is the prediction for the outcome when the independent variable is 2? (Round the answer to the nearest hundredth.)

A.
2.50

B.
30.00

C.
1.60

D.
24.00
Click here to see answer by Fombitz(32388)

Question 954483: a manufacturing machine has a 9% defect rate. if 3 items are chosen at random what is the probability that at least one will have a defect
Click here to see answer by Fombitz(32388)

Question 954948: The average weight of black bears (Ursus americanus) found in a certain area in the western Upper Peninsula of Michigan, is 310 lbs. Assume that the population standard deviation is 32 lbs. and also assume that the population of weights exhibits an approximate normal distribution.
Find the probability that a black bear selected at random is between 250 lbs. and 350 lbs

Click here to see answer by Fombitz(32388)

Question 955393: Suppose that you select 3 cards without replacement from a standard deck of 52 playing cards.
a.) If the first card that you select is a diamond and the second is a spade, what is the probability that the third card you select is a spade?
b.) If the first card that you select is a heart, what is the probability that the second card that you select is a six?
Click here to see answer by macston(5194)

Question 955317: A computer program password is made up of 3 digits chosen randomly . Find the probability of getting each password as follows. 3 prime digits and the digits cannot be repeated.
Click here to see answer by Theo(13342)

Question 955413: Draw a tree diagram for having three children
Click here to see answer by Fombitz(32388)

Question 955412: Given a committee of 8 women and 11 men, how many different ways are there to pick a female president, a male treasurer, and a secretary of either gender if one of the men, Pete, says that he cannot be the treasurer? Assume that none can hold more than one office
Click here to see answer by hemu_da(13)

Question 955255: You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.85. With water it will die with probability 0.55. You are 82 % certain the neighbor will remember to water the plant.
Find the probability that the plant will die.
Click here to see answer by Theo(13342)

Question 955400: what is the probablility that the business will make over its gross of 3000 on 6 out of 10 work days

Click here to see answer by Alan3354(69443)

Question 955446: A bin contains 26 cards labeled AZ and 10 cards labeled 110. The cards are shuffled and one card is chosen at random. What is the probability that it is a vowel (A, E, I, O, U) or an even number?
Click here to see answer by macston(5194)

Question 955296: A letter is chosen at random from the english alphabet. What is the probability it is a letter of word "RAMANUJAM"?
Click here to see answer by macston(5194)

Question 955509: 3 balls were chosen from a bag containing 5 red, 3 green, and 4 blue balls. What is the probability that at-least one ball is red?
Click here to see answer by Fombitz(32388)

Question 955497: At a certain college, there were 400 science majors, 100 engineering majors, and 600 business majors. If one student was selected at random, the probability that they are an engineering major is:

Click here to see answer by ismet2000(1)

Question 955527: If one card is drawn from a standard 52 playing deck determine the probability of getting a ten a king or a diamond
Click here to see answer by macston(5194)

Question 955660: In a certain town, 50% of the residents own a cellular phone, 40% own a pager, and 20% own both a cellular phone and a pager. What is the probability that a resident owns a cellular phone or a pager?

Click here to see answer by stanbon(75887)

Question 955663: Suppose that the probability of your favorite baseball player getting a hit at each at bat is 0.30. What is the probability that he bats 6 times and gets 2 hits? Assume that each at bat is independent of any other at bat.

Click here to see answer by stanbon(75887)

Question 955662: An urn contains 6 red marbles and 4 black marbles. Two marbles are drawn without replacement from the urn. What is the probability that both of the marbles are black?

Click here to see answer by stanbon(75887)

Question 955666: Alice got the following scores in the first quarter quizzes: 12, 10, 16, x, 13 and 9. what must be her score on the 4th quiz to get an average of 12?
Click here to see answer by stanbon(75887)

Question 955674: The daily sales of ABC Enterprises for the first seven days of a certain month are the following: 5,286 pesos, 10,826 pesos, 2,580 pesos, 6,386 pesos, 4,650 pesos, 3,635 pesos, 8,625 pesos. determine the daily mean sales of the score for the first seven days.
choices are
A. 5,996.29 B. 5,997.29 C. 5,998.29 D.5,999.29
Click here to see answer by stanbon(75887)

Question 955650: what is wrong with this statement?:
The probability that a baseball player hits a home run is greater than the probability that he gets a successful hit.
Click here to see answer by MathLover1(20849)

Question 955659: 50 senior high school students competed for 3 scholarships. The first scholarship is for $25,000, the second scholarship is for $15,000 and the third scholarship is for $5,000. In how many ways can the scholarships be awarded?

Click here to see answer by stanbon(75887)

Question 955678: using this data 3,13,15,16,16,20,23 N=7 what score would a z of -.25 be and what score would a z of 1.5 be. please show all work.
Click here to see answer by stanbon(75887)

Question 955682: Draw a tree diagram for having three children and then draw a sample space (vertically) to the right hand side of the tree diagram.
Click here to see answer by stanbon(75887)

Question 955681: Find the number of ways to get the following card combinations from a 52-card deck.
Two black kings and two red aces.
A) 192 Ways
B) 1,152 Ways
C) 144 Ways
D) 48 Ways
Click here to see answer by stanbon(75887)

Question 955680: The chorus has six sopranos and eight baritones. In how many ways can the director choose a quartet that contains at least one soprano?
Click here to see answer by stanbon(75887)

Question 955661: A company management team knows that, in a given quarter, the mean of earnings of firms in their industry is $200,000 with an industry standard deviation of $80,000. Assume a normal distribution. What is the probability that a company makes more than $300,000? Round your answer to 2 decimal places.

Click here to see answer by stanbon(75887)

Question 955656: If X has a normal distribution with mean 80 and standard deviation 12, what is the distribution of the mean of a sample of 9 of these values? Give the values of the parameters.
Please help me with this - and can you please explain what they mean by the value of the parameters. Thank you to whomever tackles this problem. I do appreciate the time and effort each of you put in helping others - it takes a special person to do so.

Click here to see answer by stanbon(75887)

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, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 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, 43111..43155, 43156..43200, 43201..43245, 43246..43290, 43291..43335, 43336..43380, 43381..43425, 43426..43470, 43471..43515, 43516..43560, 43561..43605, 43606..43650, 43651..43695, 43696..43740, 43741..43785, 43786..43830, 43831..43875, 43876..43920, 43921..43965, 43966..44010, 44011..44055, 44056..44100, 44101..44145, 44146..44190, 44191..44235, 44236..44280, 44281..44325, 44326..44370, 44371..44415, 44416..44460, 44461..44505, 44506..44550, 44551..44595, 44596..44640, 44641..44685, 44686..44730, 44731..44775, 44776..44820, 44821..44865, 44866..44910, 44911..44955, 44956..45000, 45001..45045, 45046..45090, 45091..45135, 45136..45180, 45181..45225, 45226..45270, 45271..45315, 45316..45360, 45361..45405, 45406..45450, 45451..45495, 45496..45540, 45541..45585, 45586..45630, 45631..45675, 45676..45720, 45721..45765, 45766..45810, 45811..45855, 45856..45900, 45901..45945, 45946..45990, 45991..46035, 46036..46080, 46081..46125, 46126..46170, 46171..46215, 46216..46260, 46261..46305, 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, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345