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

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

Question 1177264: Eric's company pays him a $2,470 monthly salary plus a 7% commission on items he sells each month. Assume Eric's sales were $33,800 for last month.
What is his gross pay and total amount of commission?
Click here to see answer by Solver92311(821)

Question 1177130: A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the following events:
A:{ One of the balls is yellow }
B:{ At least one ball is red }
C:{ Both balls are green }
D:{ Both balls are of the same color }
Find the following conditional probabilities:
(c) P(D|C)=
Click here to see answer by Solver92311(821)

Question 1177268: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 52.1%. What is the probability that in a random sample of 460 voters, less than 49.3% say they will vote for the incumbent?
Click here to see answer by ewatrrr(24785)

Question 1177275: It has been determined that 37 out of 100 adult Americans that did not attend college believe in extra-terrestrials. However, from a random sample of 100 adult Americans that did not attend college 43 claim that they believe in extra-terrestrials. Does this indicate that the proportion of people who did not attend college and who believe in extra-terrestrials has changed? Conduct a hypothesis test with a = 0.01 and interpret the results.
Click here to see answer by ewatrrr(24785)

Question 1177290: Records indicate that I will make a sale on 70% of my sales calls. If I call 4 potential clients, what is the probability that I make exactly three sales? What is the probability that I will make exactly four sales?
Click here to see answer by ewatrrr(24785)

Question 1177287: Consider an experiment of choosing randomly two of the letters from the alphabet.
(a) Find the sample space S1 , of the experiment if it possible to choose the same letter twice.
(b) Find the sample space S2 , of the experiment if it is not possible to choose the same letter
twice.
Click here to see answer by ewatrrr(24785)

Question 1177303: The company offers seminars on the important topic of a retirement planning. For a typical seminar the room rental at a hotel is $1000 and the cost of advertising and other incidentals is about $10,000 per seminar. The cost of the materials and special gifts for each attendee is $60 per person attending the seminar. The company prices its seminar fees competitively with other companies in the same business and charge is $250 per person to attend. How many people must attend each seminar to break even
Click here to see answer by ewatrrr(24785)

Question 1177301: The number of ways horses can finish first, second and third
Instead, in a race involving n horses, it can be found through the
expression:
n (n - 1) (n - 2)
a. Determine the number of ways the horses can finish first,
second and third place, in a race if 7 horses participate.
B. Rewrite the expression by multiplying the three factors.
C. Use the expression obtained in literal b to determine the number of ways in
that horses can finish first, second and third in a race
where 7 horses participate.
D. The results obtained in literal A and C ¿Are they the same?
Explain the answer.
Click here to see answer by ewatrrr(24785)

Question 1177306: If the materials needed to make a good chicken run is $560 and a simple set up for ducks is slightly higher at $620 she figures that $20 is needed for four females of either species 50 pounds of pellets cost $14 she collects 84 hen eggs plans to sell them for five dollars per dozen and she collects 108 duck eggs and sells them for six dollars per dozen how many months after start up will profit from chicken equals profit from ducks
Click here to see answer by ikleyn(52750)

Question 1177286: Please help me solve this problem :
Find k so that the function given by
p(x) = k /(x + 1), x = 1, 2, 3, 4
is a probability function. Graph the density and cumulative distribution functions.
Thank you
Click here to see answer by Edwin McCravy(20054)

Question 1177320: identify the following random variables as discrete or continuous. The number of female athletes
Click here to see answer by amarjeeth123(569)

Question 1177335: A foreman for an injection-molding firm admits that on 10% of his shifts, he forgets to shut off
the injection machine on his line. This causes the machine to overheat, increasing the probability
that a defective molding will be produced during the early morning run from 2% to 23%. If a
molding is randomly selected from the early morning run of a random day, what is the probability
that it is defective?
Click here to see answer by ikleyn(52750)

Question 1177334: A system has a constant failure rate
Click here to see answer by ikleyn(52750)

Question 1177344: The following display from a TI-84 Plus calculator presents the results of a hypothesis test for a population mean ì.
u<54
t=-0.831266
p=0.204928
x=53.74
Sx=2.21166
n-20
Do you reject H0 at the a = 0.05 level of significance?

Click here to see answer by ewatrrr(24785)

Question 1177342: A recent report by the American Medical Association stated the average annual salary of psychiatrists is $189,121 with a population standard deviation of $26,975. A group of hospital administrators randomly sampled 64 psychiatrists and found an average annual salary of $198,630. The group claims that the average annual salary is actually higher than what the American Medical Association reported. At a= 0.01, what is the best conclusion of this test based on the p value?
Click here to see answer by ewatrrr(24785)

Question 1177351: Out of a group of elderly people 19 wear glasses,8 wear hear aids,6 wear both and 5 wear neither. How many wear exactly one of these two items mentioned? How many people are there altogether in this group? Explain your answers and Show work.
Click here to see answer by ikleyn(52750)

Question 1177354: Suppose that you form a password consisting of a mix of two letters follower by three digits. How many different passwords could be formed? Explain and show work.
Click here to see answer by ikleyn(52750)

Question 1177353: A company decides to send two people on a business trip, using either two men or two women.There are 8 men and 5 women eligible for this trip. How many ways are there to do this? Explain and show work.
Click here to see answer by ikleyn(52750)

Question 1177352: From 15 people how many ways are there to select a committee consisting of a chairman,vice chair and four other committee members? Explain and show work.
Click here to see answer by ikleyn(52750)

Question 1177355: A pile of 11 coins is to be separated in piles of two,three and six coins. How many ways are there to do this? Explain and show work.
Click here to see answer by Solver92311(821)

Question 1177349: Dagwood opens the fridge to build a sandwhich and finds 7 different meats,6 types of veggies,5 types of cheese,3 kinds of bread and 5 types of condiments. From this selection he chooses to go with 2 meats,3 veggies,2 cheeses,1 bread and 3 condiments. How many different sandwiches like this could he make? Explain and show work.
Click here to see answer by Solver92311(821)

Question 1177362: John opens the fridge to make a sandwich. He finds 7 kinds of meat,6 kinds of veggies,5 types of cheese,3 types of bread and 5 types of condiments. He chose to go with 2 meats,3 veggies,2 cheeses,1 bread and 3 condiments. How many sandwiches could he make like this? Explain and show work.
Click here to see answer by Solver92311(821)

Question 1177367: Your work sends 2 people on a trip,using either 2 men or 2 women. There are 8 men and 5 women. How many ways are there to do this?
Click here to see answer by ewatrrr(24785)

Question 1177361: A company decides to send two people on a trip using either 2 men or 2 women. There are 8 men and 5 women eligible for the trip. How many ways are there to do this?
Click here to see answer by ewatrrr(24785)

Question 1177385: There are 15 numbered pool balls in a wooden box. If a ball is drawn, what is the probability that the number is less than 4?
Click here to see answer by Theo(13342)

Question 1177385: There are 15 numbered pool balls in a wooden box. If a ball is drawn, what is the probability that the number is less than 4?
Click here to see answer by ikleyn(52750)

Question 1177376: a class of 31 students, a committee of 2 is chosen to organize a party What is the probability that sue and jane are both on the committee?

i am sooo confused i figured out that 31C2 = 465 possible combinations of pairs

P(x)=31C2Pxqn-x and i am confused
Click here to see answer by ikleyn(52750)

Question 1177393: a pile of 11 coins is to be separated in piles of 2,3 and 6 coins. How many ways are there to do this? explain.

Click here to see answer by Edwin McCravy(20054)

Question 1177409:
Click here to see answer by josgarithmetic(39613)

Question 1177392: A pile of 11 coins is to be separated in piles of 2,3 and 6 coins. How many ways are there to do this? explain.

Click here to see answer by ikleyn(52750)

Question 1177413: A lottery has 1000 000 tickets and draws 100 tickets to award prizes.
How many tickets would you expect to have to purchase before you could win a prize?
Click here to see answer by ikleyn(52750)

Question 1177412: A lottery has 1000 000 tickets and draws 100 tickets to award prizes.
How many tickets would you expect to have to purchase before you could win a prize?
Click here to see answer by ikleyn(52750)

Question 1177368: A stack of 11 coins is to be separated in piles of 2,3 and 6 coins. How any different ways are there to do this? Explain and show all work.
Click here to see answer by ikleyn(52750)

Question 1177394: You open the fridge to make a sandwich and find 7 kinds of meat,6 kinds of veggies,5 types of cheeses,3 kinds of bread and 5 types of condiments. You choose to go with 2 meats,3 veggies,2 cheeses,1 bread and 3 condiments. How many different sandwiches could you make like this? Show work and explain.
Click here to see answer by ikleyn(52750)

Question 1177386: you open the fridge to build a sandwich and finds 7 different meats,6 types of veggies,5 types of cheese,3 kinds of bread and 5 types of condiments. From this selection you choose to go with 2 meats,3 veggies,2 cheeses,1 bread and 3 condiments. How many different sandwiches like this could you make? Explain and show work.
Click here to see answer by ikleyn(52750)

Question 1177366: You open the fridge to make a sandwich and find 7 different meats,6 veggies,5 cheeses,3 kinds of bread and 5 types of condiments. You choose to go with 2 meats,3 veggies,2 cheeses,1 bread and 3 condiments. How many different sandwiches can you make like this? Explain and show all work
Click here to see answer by ikleyn(52750)

Question 1177370: . Consider an experiment of choosing randomly two of the letters from the alphabet.
(a) Find the sample space S1 , of the experiment if it possible to choose the same letter twice.
(b) Find the sample space S2 , of the experiment if it is not possible to choose the same letter
twice.
Click here to see answer by ikleyn(52750)

Question 1177424: Automatic is working with a standard deviation 1.5 g. It packs up tea
in a pack with an average weight of 80 g. The average weight is 78.8 g. in a random sample of 16 packs. Does automatic need a tuning? A confidence level is 99%.
Click here to see answer by Theo(13342)

Question 1177431: What is the probability that a bridge hand of 13 cards contains six spades, four hearts, two diamonds, and one club?
I think i started it right P(6 spades)=13C6(39C7)/52C13= 0.04156
Click here to see answer by ewatrrr(24785)

Question 1177416: What is the probability that a bridge hand of 13 cards contains six spades, four hearts, two diamonds, and one club?

thank you
Click here to see answer by ewatrrr(24785)

Question 1177430: A certain cross of rat will result in white-black in the ratio of 8:5.?
a) What is the probability that among 9 such offspring, 5 will be white? (accurate to 4 decimal places)
b) What is the expected number of black rats from part a)?
Click here to see answer by Boreal(15235)

Question 1177423: The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown. At α=0.01, can you reject the dean's claim?
Classroom hours:
11.8

8.6

12.6

7.9

6.4

10.4

13.6

9.1
Parameter: ___________________________ Statistic: ________________________________
Ho: _______________________________ Significance Level: ___________________
Ha: ______________________________________________

Plan:
Name of procedure: _________________________________
Check conditions:
Random: ___________, n>30:________ or Assume normal: _____

Mean of model: ___________________
Standard error: ________________________
d.f.:__________________________

Labeled picture of the model:
Direction of test:___________________

Test statistic formula:

Calculation of test statistic and mark in model:

Decision in context:
Click here to see answer by Boreal(15235)

Question 1177405: A box contains 4 white balls and 3 red balls. Three balls are drawn from the box without replacement. What is the probability of drawing:
a) 3 white balls?
b) 3 red balls?
c) 2 white balls?
d) What is the expected number red balls?
e) What is the expected number of white balls?

thank you

Click here to see answer by Boreal(15235)

Question 1177407: A person conducts a contest in which the listeners phone jn the answer to the contest question. If the person estimates that the probability of a caller giving the correct answer is 0.28,

a) What is the probability that the third caller is the winner?
b) What is the expected number of calls before a correct answer is received?

Click here to see answer by Boreal(15235)

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