Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 477046: Please help me with this question I am a little bit thrown off...I saw an example of it that you had on the site but I did not understand need this by today if at all possible
Household income does not tend to follow a normal distribution in a particular state, yet average income is approximately $45,000/year in this state, with a standard deviation of about $9,000. Within what income range would approximately 93.75% of the household incomes lie within this state? Show all work as to how this is obtained. ......I saw and example but didnot for the life of me understand it please help me to understand how to do this question step by step
Click here to see answer by stanbon(75887)  |
Question 477209: Help! I got part of it, but I am boggled.
Let μ = 160 and σ = 16.
Find the z-score for the score 180 = 1.25
Find the z-score for the score 150 = -0.625
Find the score x if the z-score = 1 = x = ?????? PLEASE HELP
Find the score x if the z-score = x = −0.875 ???????
Click here to see answer by jim_thompson5910(35256) |
Question 477209: Help! I got part of it, but I am boggled.
Let μ = 160 and σ = 16.
Find the z-score for the score 180 = 1.25
Find the z-score for the score 150 = -0.625
Find the score x if the z-score = 1 = x = ?????? PLEASE HELP
Find the score x if the z-score = x = −0.875 ???????
Click here to see answer by stanbon(75887) |
Question 477232: Find the range, standard deviation, and variance for the following sample data:
33, 55, 29, 40, 43, 8, 90, 61, 41, 17, 80, 56, 17, 59, 21, 78
Thank you
Click here to see answer by jim_thompson5910(35256) |
Question 477231: In each of the four examples listed below, one of the given variables is independent (x) and one of the given variables is dependent (y). Indicate in each case which variable is independent and which variable is dependent.
I. Course grade; Test score
II. Length of ride; Taxi fare
III. Monthly commission; Monthly sales
IV. Crop yield; Rainfall
Thank you
Click here to see answer by solver91311(24713)  |
Question 477282: Could someone please help me with this problem please? I am having a difficult time understanding it. Thank you so much!!!
26.Employee Salaries The salaries of 10 employees of a small company follow.
$28,000
$64,000
25,000
24,000
31,000
27,000
26,000
81,000
26,000
29,000
Determine the
a) mean.
b) median.
c) mode.
d) midrange.
e) If the employees wanted to demonstrate the need for a raise, which average would they use to show they are being underpaid: the mean or the median? Explain.
f) If the management did not want to give the employees a raise, which average would they use: the mean or the median? Explain.
Click here to see answer by stanbon(75887) |
Question 477233: Hi! Please, I would so appreciate some help with this problem!
The mean salary of 8 employees is $27,850, and the mean salary of 10 others is $31,600. Find the mean salary of the 18 employees. (Round answer to the nearest cent.)
???
Click here to see answer by robertb(5830)  |
Question 477443: A box contains 8 green, 9 red, 5 yellow, and 7 blue marbles. Four marbles are drawn from the box at the same time.
a) What is the probability that all four marbles are the same color?
b) What is the probability that none of the marbles is red?
c) What is the probability that you get one marble of each color?
d) What is the probability that you draw more than 2 yellow marbles?
Click here to see answer by ewatrrr(24785)  |
Question 477442: Hi I was hoping someone could help me with this problem. My brain right now is not understanding. Any and all help is appreciated!!! Thank you!!! :)
determine the mean, median, mode, and midrange of the set of data. Round your answer to the nearest tenth.
40, 50, 30, 60, 90, 100, 140
Click here to see answer by MathLover1(20849)  |
Question 477535: Suppose we have a set of blood pressures with a mean of 110 Systolic, and a sample standard deviation of 15 points. If we assume a normal distribution of Systolic blood pressures, then between what two values can we be assured 99.7% of all Systolic blood pressures will lie?
Click here to see answer by stanbon(75887) |
Question 477648: An experiment consists of drawing a total of 8 cards from a deck (each time a single card is
drawn, then replaced into the deck, and the deck is shuffled before the next card is drawn).
(a) Find the probability of getting exactly 2 hearts.
(b) Find the probability of getting at most 2 hearts.
Please include steps in your solution? :)
Click here to see answer by stanbon(75887) |
Question 477654: 34% of adults say cashews are their favorite kind of nut. You randomly selected 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) most two. If convenient , use technology to find the probabilities.
(a)P(3)=____(round to the nearest thousandth )
Click here to see answer by stanbon(75887) |
Question 477640: Given A = {1, 3, 5, 7}, B = {2, 3, 5}, and C = {3, 4, 5, 6}. Evaluate each set
a) A ∩ B
b) A U C
c) B U C
d) (A U B) ∩ C
e) A U (B U C)
f) (A ∩ B) ∩ C
g) (A ∩ B) U C
Click here to see answer by richard1234(7193)  |
Question 477663: The College Board reports that the nationwide mean SAT Math score was 515 in 2007. Assume that SAT scores are normally distributed with a standard deviation of 116.
A.) What is the probability that a randomly selected student got an SAT score less than 500.
B.) Suppose you choose samples of SAT Math scores of size 16. Find the random sample mean and the random sample standard deviation.
C.) What is the probability that a sample of 16 students will have a sample mean SAT Math score below 500?
Click here to see answer by stanbon(75887) |
Question 477669: In a multiple- choice test, each question has five options. Students will get 3 points for each correct answer. lose 1 point for each incorrect answer, and receive no points for unanswered questions. A student does not know the correct answer for one question. Is it to her advantage or disadvantage to guess an answer?
1) Show calculations for expected value.
2) Show all work to solve the problem.
Click here to see answer by stanbon(75887) |
Question 477638: I am finding this problem difficult, I am not sure how to do a stem and leaf plot at all. could someone please help me, Thanks in advance.
The number of dry cleaning orders picked up at Sunny Fresh Dry Cleaners was sampled over 12 hour periods. Below is the sample:
71 86 63 46 70 63 49 63 81 71
63 59 45 63 70 64
Construct a stem and leaf plot of the data.
Click here to see answer by Edwin McCravy(20054)  |
Question 477685: Four marbles are selected, one at a time from a bin of marbles containing 6 black, 6 red and 6 green marbles. Let x represent the number of green marbles drawn in 4 draws.
(A) If this experiment is completed without replacing the marbles, explain why x is not a binomial random variable.
(B) If this experiment is completed with replacement of the marbles, explain why x is a binomial random variable.
Thank your for your help
Click here to see answer by robertb(5830) |
Question 477724: Given that a box contains 12 spiders, of
which 3 are tarantulas, 4 black widows, and 5 jumping spiders. If we choose 2 with replacement, what is the probability of getting one black widow and one that is not a black widow. If we choose them without replacement, the probabilities would change from the first selection to the second. But choosing with replacement means the probabilities don’t change from the first to
the second selection. Then clearly the two events (first choice and second choice) are independent events.
Now the probability of choosing a black widow is P(B) = 4/12 = 1/3 since there are 4 black
widows in the 12 spiders.
And the probability of choosing one that is not a black widow is P(B) = 8/12 = 2/3.
Since these events are independent, we could use the formula for independent events, which is
P(B and B) = P(B) · P(B) = 1/3 · 2/3 = 2/9 = 22.2%.
The reasoning seems correct, the only problem with this is that it gives the wrong answer! For this
assignment, explain in detail why the formula, in this case, gives an answer that is not correct.
Click here to see answer by robertb(5830) |
Question 477769: Suppose that the proportion of statistics students who are sophomores is 20%. We
take a random sample of 10 statistics students.
A.) Use an appropriate formula to find the probability that the sample
contains exactly 2 sophomores.
B.) Use an appropriate probability table to find the probability that the
sample contains at least 3 sophomores.
C.) What is the most likely number of sophomores in the sample? Explain.
Click here to see answer by Theo(13342)  |
Question 477789: the average teachers salary in NJ (ranked first among states) is $52,174. Suppose that the distribution is normal with standard deviation equal to $7500.
a/ What is the probability that a randomly selected teacher makes less than $50,000 a year.
b/ If we sample 100 teachers salaries, what is the probability that the sample mean is less than $50,000
Click here to see answer by ewatrrr(24785) |
Question 477775: One card is selected at random from a deck of cards. Determine the probability that the card is a black heart.
(I Choose 0 after looking at a pack of cards)
Here are the answers to choose from:
O 1/52
0 1/4
O 2/13
O 0
O 1/13
Click here to see answer by ewatrrr(24785) |
Question 477770: A study found that the mean systolic blood pressure was 106 mm Hg. Assume that
systolic blood pressure follows a normal distribution with a standard deviation
of 8.
A.) What is the probability that a randomly selected systolic blood pressure
is between 98 and 122 mm Hg?
B.) Find the 97.5th percentile of systolic blood pressures. Interpret the
97.5th percentile.
Click here to see answer by ewatrrr(24785) |
Question 477733: Abby is registering at a Web site. She must select a password
containing six numerals to be able to use the site. How many passwords are
allowed if no digit may be used more than once?
I get differennt answer from different people , Please! help me select correct answer, thank you in advance
a) 6!= 720
b) (10)!?( 10-6)!= 151.200
c) 10*9*8*7*6*5 = 151.200
d) 10+9+8+7+6+5=45
e) 10C6=10x9x8x7x6x5x4!/6x5x4x3x2x4!
=3x2x7x5=210
which one correct answer ?
Click here to see answer by ewatrrr(24785) |
Question 477872: A pen holder holds twelve pens, five of which do not write. If five pens are chosen at random, find the probability that at least one
(a) writes. (b) does not write.
Please Please include full step by step, I have the answer, I need to see the work for my test, I just can't figure it out and can't find another example of this. THANK YOU!
Click here to see answer by sudhanshu_kmr(1152)  |
Question 477740: in a multiple choice test each question has four options. students will get 5 points for each correct answer; lose 1 point for each incorrect answer; and recieve no points for unanswered questions. A student does not know the correct answer for one question. Is it to her advantage or disadvantage to guess an answer? Show calculations for expected value.
Click here to see answer by stanbon(75887) |
Question 477878: Help....I am completely lost and do not know where to begin with this question...please, please help me I just do not understand how to do this at all
this is due by tomorrow and I don't understand even with lookling at some of the previously posted examples...please HELP ASAP!!!!!!I have worked on it all day
Let X be a random varible with the following probability distribution
(x) 0 1 2 3
P(x)0.4 0.3 0.2 0.1
Click here to see answer by stanbon(75887) |
Question 477951: An educational testing cooperation has designed a standard test of
mechanical aptitude. Score on this test are normally distributed with a
mean of 65 and a standard deviation of 3.
a. If a subject is randomly selected and tested, find the probability that his
score will be between 61 and 69.
b. If a subject is randomly selected and tested, find the probability that his
score will be below 57.
Click here to see answer by stanbon(75887) |
Question 478008: suppose 13 percent of all credit card holders eventually become deliquent. Suppose we select a random sample of 10 credit card holders. find the probability that : exactly 2 become deliquent, 3 or 4 become delinquent, 1 becomes delinquent, the mean of the probability distribution is, the standard deviation of the probability distribution is
Click here to see answer by stanbon(75887) |
Question 477980: Which of the following is true of a standard normal probability distribution?
A. A mean of 0 and a standard deviation of 1
B. A mean of 1 and any standard deviation of 1
C. The mean and standard deviation can change
D. Any mean and a standard deviation of 1
Click here to see answer by robertb(5830) |
|
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
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