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Question 854776: A box contains cards with one question on each card
There are 4 categories of questions
each category has some easy and some difficult questions
This table shows the probability of selecting a card at random
CATEGORY
Music
Sport
History
Nature
EASY
0.2
0.2
0.1
0.15
DIFFICULT
0.15
0.1
0.05
0.05
(A)I am going to take one card at random from the box.
What is the probability that it will be:
A HISTORY QUESTION?
Is the answer 0.15
AN EASY QUESTION?
Is the answer 0.65
(B)There are 40 cards in the box.
How many of these are MUSIC questions?
Is the answer 3

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Question 854837: Suppose that, for students who are enrolled in college algebra, 74 percent are freshmen, 45 percent are female, and 29 percent are female and are freshmen. Your answers below should be entered as decimals and rounded to three decimal places.
Two students will be independently selected at random. What is the probability that both of the selected students will be female?

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Question 854849: We throw 2 dice and we suppose that 6 x 6 = 36 outcomes have equal probability. Let B the event that we get two "6". Count P(B|A) for the following occasions for the event A:
i) A is the event that we get two "6", which means A = B.
ii) A is the event that both dices can have even outcome.
iii) A is the event that we get double, which means that we get same outcome on both dices.
iv) A is the event that we can get any outcome, which means A = S.
v) A is the event that both dices can have odd outcome.

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Question 854843: From meteo we know that it rains 20% of the days of a year, but there is sunshine the 50% of the days.
From our experience, we know that 80% of the people keep an umbrella when it rains, 10% when there is sunshine and 20% the days without sunshine or rain.
If a morning, without being able to notice the weather, we see a man keeping an umbrella, what is the probability to rain? And what is the probability that there is not sunshine?

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Question 854882: the probability that car will start in the morning is 0.7 .the probability that it will not start in the morning will be?
I don't understands where the is one event, please help

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Question 854958: Can you create one formula for this question instead of 2?
if 10 jelly beans weigh 12 grams, how many jelly beans in 650 grams

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Question 854962: I would like your opinion on the following problem:
A password is composed of 4 different letters (out of 26 upper case letters) and 2 different digits (out of 10 digits from 0 to 9).
How many arrangements are possible?
This my attempt so far.
Attempt 1:
26 x 25 x24 x23 x 10 x 9
Attempt 2:
26C4 x 9C2 x 6

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Question 855040: what is 67x67
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Question 855103: Edmond blocked 27 of 36 shots based on information what's the probality of him blocking the next 16 shots
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Question 855071: The fill amount of bottles of a soft drink is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. If you select a random sample of 25 bottles, what is the probability that the sample mean will be
(a) between 1.99 and 2.0 liters?

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Question 855131: a commitee consists of 10 republicans and 8 democrats. in how many ways can a subcommitee be chosen if it has 5 republicans and 4 democrats
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Question 855130: the manager of a chain of restaurants must choose 6 from 11 for a promotion. How many different selections can be made?
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Question 855067: Please help me solve this problem: Cyclist Lance Armstrong has repeatedly been accused of using performance enhancing drugs over the years. Suppose, if someone has been using the drugs, two different tests have probabilities of 99% and 95% respectively, of coming back positive. Assume independence of events.
A) What is the probability, if someone has been using the drugs, that both tests come back negative? (Express your answer as a percent, without rounding.)
B) What is the probability, if someone has been using the drugs, that at most one of the tests come back negative? (Express your answer as a percent.)

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Question 855137: 48 chips numbered from 1 to 48 are placed in a barrel. One chip is randomly pulled from the barrel. What is the probability that the number on the chip is greater than or equal to 32?
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Question 855169: A recent poll of 1,235 randomly sampled likely votes show your favourite candidate ahead with 52.1% in favour. There are two candidates . Use hypotheses testing to infer to the larger groupg of all likely voters
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Question 855170: QUESTION ONE
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Question 855193: When two dice are rolled, find the probability of getting a sum of 5or6
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Question 855199: In a scientific study there are 10 bunches of green onions, 3 of which contain E. coli. If two are selected at random without replacement, find the probability that both contain E. coli
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Question 855197: A survey found that 62% of college students are female. If three college students are selected at random, find the probability that all three is female
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Question 855186: Four cards are selected at random without replacement from a well-shuffled deck of 52 playing cards,find the probability of four cards of the same suit are drawn.
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Question 855143: If a card is chosen at random from a standard deck,what is the probability that the card is either less than 5 or a spade?
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Question 855217: The winning team's score in 11 high school basketball games was recorded. If the sample mean is 64.3 points and the sample standard deviation is 13.0 points, find the 98% confidence interval of the true mean.
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Question 855222: A study of 95 apple trees showed that the average number of apples per tree was 625. The standard deviation of the population is 200. Which of the following is the 80% confidence interval for the mean number of apples per tree for all trees?
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Question 855224: It was found that in a sample of 90 teenage boys, 70% of them have received speeding tickets. What is the 90% confidence interval of the true proportion of teenage boys who have received speeding tickets?
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Question 855224: It was found that in a sample of 90 teenage boys, 70% of them have received speeding tickets. What is the 90% confidence interval of the true proportion of teenage boys who have received speeding tickets?
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Question 855162: The hard drive reader head is the only likely component to fail, and all that fail are replaced. These have life expectancy that follows a normal distribution with mean 60 months and standard deviation of 2 months. what is the longest time that the manufacturer can guarantee the hard drives if they want to replace no more than 4% of them?
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Question 855229: according to a may 2013 gallup poll, 53% of americans support the legalization of same sex marriage.
b. if a random sample of 10 americans is found, how many people would we expect to support the legalization of same sex marriage
c. what would the standard deviation of this 10 person distribution be
d. if we would randomly sample 10 people, what is the probability that exactly 6 would support the legalization of same sex marriage.
e if we would randomly sample 10 people, what is the probability less than 6 would support the legalization of same sex marriage.
f. if we secure a simple randome sample of 250 americans, what is the probability that less than 120 would support the legalization of same sex marriage

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Question 855229: according to a may 2013 gallup poll, 53% of americans support the legalization of same sex marriage.
b. if a random sample of 10 americans is found, how many people would we expect to support the legalization of same sex marriage
c. what would the standard deviation of this 10 person distribution be
d. if we would randomly sample 10 people, what is the probability that exactly 6 would support the legalization of same sex marriage.
e if we would randomly sample 10 people, what is the probability less than 6 would support the legalization of same sex marriage.
f. if we secure a simple randome sample of 250 americans, what is the probability that less than 120 would support the legalization of same sex marriage

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Question 855242: Find the z-scored for which 70% of the distributions area lies between -z and z. The z-scores are _____. (use a comma to seperate answers as needed, round to two decimal places)
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Question 855253: A card player draws 4 cards from a standard pack of 52 cards.
Find the probability that this results in a card being drawn from each of the 4 suits.

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Question 855282: On any given day, the likelihood of seeing a hare is 40%
What is the probability of seeing a hare four days consecutively?

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Question 855270: We throw a fair dice 4 times. The throws are independent among them.
i) What is the probability that we got at least one "6"?
ii) What is the probability that we got at least one "6" granted that we didn't get any "1"?
iii) What is the probability that we didn't get any "1" granted that we got at least one "6"?

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Question 855271: I'm stuck on this. Any help would be appreciated. Thank you in advance.
Based on weather forecast, it is observed that 30% of the days of the year (maxium daily) temperature is less than 15°C.
Also, 10% of the days of the year, and rains and the temperature is less than 15°C.
i) Taking into consideration only the facts that they refer to the temperature that is less than 15°C, what is the percentage of the days that it was raining?
ii) If the percentage of the raining days of the year is 20%, then what's the probability that the temperature is less than 15°C in a raining day?

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Question 855304: In a study of brand recognition, 90% of consumers recognize coke. In a sample of 20 customers, find the probability that:
a. exactly 18 bcustomers will recognize Coke.
b. at least 18 customers will recognize Coke.
c. at most 18 customers will recognize Coke.

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Question 855310: Records of a health insurance company shows that 40% of policyholders under age 30 submitted a claim during the past year. A random sample of 75 policyholders under age 30 is selected. Assuming the records are correct, then find the probability that:
a. exactly 30 submitted a claim during the past year.
b. More than 32 submitted a claim during the past year.
c. at most 29 submitted a claim during the past year

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Question 855337: How many different 10 letter words (real or imaginary) can be formed from the following letters? E,X,C,A,X,P,X,A,W,S
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Question 855161: a certain grade egg must weigh at least 2 oz. If the weights of eggs are normally distributed with a mean of 1.5oz and a standard deviation of 0.4oz, appromately how many eggs in a random sample of 29 dozen would you expect to weigh more than 2 oz?
Please show me what formula to use!

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Question 855276: We throw two dices and we suppose that 6 x 6 = 36 outcomes have equal probability. Suppose that B is the event where both dices are odd or both dices are even, and C the event where the smaller number of the two dices is at least "4".
Are B, C indepedent?

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Question 855405: 7. Find the mean and standard error of the sample means that is normally distributed with a mean of 10 and a standard deviation of 2 and a sample size of 25.
8. Using the above distribution find the probability of a a score less than 11.

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Question 855430: Assuming that the weights of newborn babies are normally distributed with mean 6.5 lbs and standard deviation 1.2lbs, how many babies in a group of 80 do we expect to weight more than 8.9lbs?
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Question 855455: From agroup of 7men & 8women,5 persons are selected to form a committee so that atleast 3men are there on committee.in how many ways can it be done?
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Question 855471: if P(B)=0,2 P(A\B)=0,7 P(B')=0,8 AND P(A\B')=0,9 FIND P(B\A)
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Question 855493: I cannot figure out this problem:
The useful life of an electrical component is exponentially distributed with a mean of 4000 hours.
a. What is the probability the circuit will last more than 4500 hours?
b. What is probability the circuit will last between 4000 and 4750 hours?
c. What is probability the circuit will fail within the first 3250 hours?
I cannot figure out what the value of e is, or the value of lambda symbol.
Thanks for your help.

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Question 855509: one of the factors 24 is chosen at random. what is the probability that the chosen factor is not a multiple of 4?
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Question 855508: one of the factors is chosen at random. what is the probability that the chosen factor is not a multiple of 4?
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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, 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