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

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

Question 288786: How many ways can karen choose 4 pizza toppings from a menu of 18 toppings if each topping can be chosen once?
Click here to see answer by checkley77(12844)

Question 288863: A recent study on teenage pregnancy indicates that 5% of the female population will get pregnant sometime in their teenage years. The study stated that teenage pregnancies occur independently of one another. Suppose 18 teenage women were randomly selected. Find the probability that at least two of these women will get pregnant some time in their teenage years.

Click here to see answer by stanbon(75887)

Question 288910: If a coin is tossed three times, and then a die is rolled three times, finally a 3-card hand is drawn from a deck of cards, how many different outcomes are possible?
Click here to see answer by stanbon(75887)

Question 288922: A multiple-choice test has three questions, each with four choices for the answer, of which only one of the choices is correct. What is the probability of guessing correctly on at least one of the questions? The answer is .578 but how do I get that?
A network executive has to decide on the programming line-up for Thursday night. If there are ten shows to choose from, how many six-show line-ups are possible? Answer s 151,200 how do I get that?
Find the probability of having exactly four girls in seven births. Assume no multiple births and that male and female births are equally likely and independent. Answer is.273 how do I get that?
Thanks-

Click here to see answer by stanbon(75887)

Question 289047: couple plan to have 4 children List the sample space assuming the outcome are equally likely using boy girl
Click here to see answer by stanbon(75887)

Question 289119: two integers from 1 to 10 are randomly selected. the same number may be chosen twice. what is the probability that both numbers are less than 9
Click here to see answer by jim_thompson5910(35256)

Question 289115: a card is picked from a deck find the odds aginst and the odds in favor of:
a picture card
a seven
a red card
a jack or king
a queen and diamon
Click here to see answer by CharlesG2(834)

Question 289273: How much pizza is left if 7 people ate 3/8 each of 4 pizzas?
Click here to see answer by stanbon(75887)

Question 289348: Suppose that the wrapper of a candy bar lists its weight as 8 ounces. The actual weights of individual candy bars naturally vary to some extent. Suppose that these actual weights vary according to a normal distribution wth mean 8.5 ounces and standard deviation .325 ounces
What proportion of he candy bars weigh less less than adverised 8 ounces?
If the manufacturer wants to decrease this proportion from a) by changing the man of its candy bar weigts, should it increase or decrease that mean?
If the manufacturer wants to decrease this proportion from a) by changing the standard deviation of its candy bar weight should it increase or decrease that standard deviation?
Not sure what I need to do ....Thank you for your help
Click here to see answer by stanbon(75887)

Question 289363: Assuming that boys and girls are equally likely, estimate the probability of getting more than 3600 girls in 6400 births.
Click here to see answer by stanbon(75887)

Question 289407: Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds in favor of the sum of the numbers on the two selected slips is not 6?
Click here to see answer by edjones(8007)

Question 289489: 2. General Buck Twigidson is preparing to make his annual budget presentation to the U.S. senate and is speculating about his chances of getting all or part of his requested budget approved. From his 20 years of experience in making these requests, he has deduced that his chances of getting between 50 and 74 per cent of his budget approved are twice as good as those of getting between 75 and 99 per cent approved, and two and one-half times as good as those of getting between 25 and 49 per cent approved. Further, the general believes that there is no chance of less than 25 per cent of his budget being approved. Finally, the entire budget has been approved only once during the General's tenure and the General do not expect this pattern to change. What are the probabilities of 0-24 per cent, 25-49 per cent, 50-74 per cent, 75-99 per cent, and 100 per cent approval, according to the general?

Click here to see answer by stanbon(75887)

Question 289607: Using the limit definition compute the instantaneous rate of change of the function at x=a f(x)=9x^2, a=8
answer is 144, I keep getting 153. Please help!
Click here to see answer by CharlesG2(834)

Question 289567: a box contains several slips of paper. On each slip is writtten an odd number between 10 and 20. Without looking, you draw one slip of paper. find the smaple space for this experiment
Click here to see answer by Fombitz(32388)

Question 289666: if one member is chosen at random from a club that has 12 girls and 9 boys, what is the probability that a girl will be selected?

Click here to see answer by checkley77(12844)

Question 289666: if one member is chosen at random from a club that has 12 girls and 9 boys, what is the probability that a girl will be selected?

Click here to see answer by stanbon(75887)

Question 289722: Gary has a bag containing 15 trucks, 3 cars, 8 trains, and 6 airplanes. If he randomly chooses one piece from the bag, what is the probability that he will grab a truck or a car?
Would it be 15/32 for a truck and 3/32 for a car
Click here to see answer by stanbon(75887)

Question 289749: At a certain hospital 30% of its diabetic patients seek care for a kidney related problem
If 50 diabetic patients are randomly chosn from a hospital, what is the probability that half o them are seeking care for a idney related problem?
Please help ....Thank you
Click here to see answer by stanbon(75887)

Question 289808: Please Help Me I am lost!
The Pill HCI Penylpropanolamine contans in each tablet an over the counter diet
pill medicaion with a normal distribtion mean of 75mg and a standard deviation
of 0.7mg
What is the probabilty that a randomly selected tablet contains:
-at least 76mg of phenylpropanolamin?
-less than 73mg of phenylpropanolamin?
THANK YOU SOOO MUCH!
Click here to see answer by stanbon(75887)

Question 289840: If you are rolling a die and counting aces (an ace on a die is a 1), how many times should you roll the die in order to have a better than 80% chance of getting at least one ace?
Click here to see answer by richwmiller(17219)

Question 289839: Tim has 4 table tennis balls with small cracks. His friend accidentally mixed them in with 16 good balls. If Tim randomly picks 3 table tennis balls, what is the probability that at least 1 is cracked?
Not sure how to approach this problem/what formula to use.
My first thought was to multiply 4/20*3/20*2/20, but the answer I got (.003) obviously seems a little off. Help!
Click here to see answer by richwmiller(17219)

Question 289851: If a fair coin is tossed 3 times, what is the probability of getting at least 2 heads (at least 2 heads" means 2 or more heads)?

Click here to see answer by stanbon(75887)

Question 289810: The numbers 1-9 are drawn twice. Without Replacements. What are the odds that Both of the numbers are greater than 5?
Both numbers are even? 1st number is odd and the second is even?
Neither of the numbers is greater than 5?
Click here to see answer by richwmiller(17219)

Question 289930: In a certain coastal basin, the sea water contains 3.9 grams of salt per 1000 milliliters of water. How many grams of salt would be in 2 liters of the sea water.
Click here to see answer by Earlsdon(6294)

Question 290152: according to the new york state society of anesthesiologists, 60% of operations performed in the united states today are done on an outpatient basis. (source journal of the american medical association) if six operations that were performed recently are randomly selected, find the probability that exactly three of them were performed on an outpatient basis?
Click here to see answer by stanbon(75887)

Question 290193: in 1997 the population of a small town was 700. if the annual rate of increase is about 0.8%, which value below expresses the population five years later?
Click here to see answer by tink159(1)

Question 290261: Mark has 10 red marbles and 15 blue in a bag. He reaches into choses one without looking and sets it aside. He draws another. what is the probabiliy that he draws 2 blue marbles. What is the %?
Click here to see answer by richwmiller(17219)

Question 290375: A class of 25 students is having a drawing. Each student's name is placed on a piece of paper then placed in a hat. One name is randomly drawn from the hat. If there are 9 boys in the class, what is the probability that the name drawn is a girl's?
Click here to see answer by richwmiller(17219)

Question 290348: What is the probability for a certain medication, 16 of 45 patients exhibited a side effect.

Click here to see answer by brucewill(101)

Question 290384: I posted this question before, and rec'd an answer, but don't really understand the steps involved in solving. Please help.
A researcher calculates a t-test with a sample of 200 defense attorneys and the t-test yields a t value of -2.432.
Is this finding significant at a .05 critical region?
Is this finding significant at a .01 critical region?
Click here to see answer by richwmiller(17219)

Question 290423: ina scientific experiment,there are 8 guinea pigs,5 of which are pregnant. if 3 are selected at random without replacement,what is the probability that all are pregnant
Click here to see answer by stanbon(75887)

Question 290480: There are 3 urns containing 2 white and 3 black balls, 3 white and 2 black balls and 4 white and 1 black balls respectivelly. There is equal probability of each urn being chosen. One ball is drawn from an urn chosen at random. What is the probability that a white ball is drawn?
Click here to see answer by richwmiller(17219)

Question 290357: Data from a National Health Survey show that men�s average weight is normally distributed with a mean of 170 pounds and a standard deviation of 30 pounds.
1. If a man is chosen at random, what is the probability that his weight is greater than 180 pounds?
2. If 100 men are randomly selected, what is the probability that their mean weight is greater than 180 pounds?
3. What is the probability that mean weight of the 100 men is less than 160 pounds?

Click here to see answer by Deanp021987(1)

Question 290484: A civil engineer has measured the height of a 10 floor building as 2950 cms and the working height of each beam as 35cms while the true values are 2945cms and 30cms respectivelly. Compare their absolute and relative errors.
Click here to see answer by richwmiller(17219)

Question 290481: What is the expected value of the number of points that will be obtained in a single throw with an ordinary die?
Click here to see answer by checkley77(12844)

Question 290548: Find the probability of drawing a heart or a club from a standard deck of cards.
HELP!
Click here to see answer by richwmiller(17219)

Question 290549: Find the odds in favor of rolling the same number on a pair of dice
Click here to see answer by richwmiller(17219)

Question 290566: A box contains 3 blue cards and 3 white cards. If two cards are drawn one at a time, find the probability that both cards are blue if the draws are made as follows: a) with replacement b) without replacement
Click here to see answer by stanbon(75887)

Question 290602: Three cakes are sliced into 20 pieces each. Each cake contains 1 gold ring. What is the probability that one person who eats one piece of cake from each of the three cakes will find 3 gold rings?
Click here to see answer by richwmiller(17219)

Question 290534: Consider a normal distribution with mean 26 and standard deviation 6. What is the probability a value selected at random from this distribution is greater than 26? (Use 2 decimal places.)

Click here to see answer by stanbon(75887)

Question 290629: I was trying to figure out a probability problem. Of 20 units in one lot. Each 20 unit lot has 10% defective items. what's the probability that the lot will be rejected? Accepted? Five or more items will in one lot is cause for rejection. I said it means there are at least 2 items in each 20 unit lot that is defective, which means the lot won't be rejected. I said it would be 0.05% chance it will be rejected and 0.95% chance it will be accepted.
Click here to see answer by stanbon(75887)

Question 290693: 1. If a null hypothesis is not rejected at the 0.10 level, it may be rejected at the 0.05 level.

Click here to see answer by richwmiller(17219)

Question 290688: The length of one side of a triangle is 3. The other sides of the triangle are selected at random from the set S. What is the probability that the selected sides form an isosceles?
S = {(3, 4), (4, 4), (4, 5), (5, 3), (1, 2), (2, 4)}
a 1/6 b 1/3 c 1/2 d 2/3 e 1
Click here to see answer by richwmiller(17219)

Question 290695: Race Track � The track holds 8 race cars. The probability that a car will break down during the race is .15.
a) What is the probability that during any race 3 cars or less will break down?
b) What is the probability that during any race exactly 3 cars will break down?
c) What is the probability that no car will break down?
d) What is the probability that the wrecker driver, the one who removes, broken cars, will have at least one car to service during race night?
e) What is the probability that the wrecker driver will have no cars to service on race night?

Click here to see answer by richwmiller(17219)

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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