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

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Question 1151966: The probability that an international flight leaving the United States is delayed in departing (event D) is .24. The probability that an international flight leaving the United States is a transpacific flight (event P) is .50. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .12.

a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight? (Round your answer to 4 decimal places.)

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Question 1151960:
Smoking by Race for Males Aged 18-24
             Smoker(S) Nonsmoker(N)  Row Total 
   White (W)  n(S&W)     n(N&W)        n(W) 
   Black (B)  n(S&B)     n(N&B)        n(B) 
Column Total  n(S)       n(N)        n(S or N) = n(W or B)  
	  
i.	P(S)	 	 
ii.	P(W)	 	 
iii.	P(S | W)	 	 
iv.	P(S | B)	 	 
v.	P(S and W)	 	 
vi.	P(N and B)


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Question 1152021: What is p(s) is p equals 1000 and s is 294
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Question 1152005: the winner of a raffle ticket will receive a 21 foot outboard boat, if 6000 raffle tickets were sold and you purchased 20 tickets what are the odds against your winning the boat
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Question 1152010: Oxnard Petro Ltd. is buying hurricane insurance for its off-coast oil drilling platform. During the next five years, the probability of total loss of only the above-water superstructure ($240 million) is .40, the probability of total loss of the facility ($940 million) is .40, and the probability of no loss is .20.
Find the expected loss. (Input the amount as a positive value.)
Expected Loss $ million
Please show how you got that answer.

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Question 1151986: A multiple choice examination has 25 questions, each with 5 possible answers, only one of which is correct. Suppose that one of the students who takes the examination answers each of the questions with an independent random guess.
a)Write the random variable representing the number of correct answers(+show that is correctly defined)
b) Which is the expected number of correct answers? (+calculations_
c)Which is the probability to have at least 2 correct answers?

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Question 1151949: Researchers are interested in estimating the average level of some enzyme in a certain human population with some interval. A random sample of 10 individuals was taken and it was found that the mean level of enzyme computed from this sample is 22unit. Assume that the level of enzyme in underlying population is normally distributed with variance of 8unit2. Construct the 95% CI for the estimate of the unknown population mean and interpret the result
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Question 1151922: There are 40 students in the University Travel Club. The following information and Venn diagram show how many students traveled to Germany, France, and Spain. How many students have been only to Germany?
18members have visited Germany
18 have been to Spain
17 have visited France
8 have been to Germany and France
5 have only been to Spain
6 have only been to France
3 have been to only Spain and France
4have been to all three countries
Some of the members have not been to any of the three


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Question 1151901: Question No. 9
The weights of a certain population of pregnant women are approximately normally distributed with a mean of 62 kilogram and a standard deviation of 16. Find the probability that 16 women selected at random from this population will have the mean weight between 45 and 75 kilogram and interpret the result

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Question 1151950: Researchers are interested in estimating difference in drug therapy adherence among subjects with depression who received usual care and those who received care in a collaborative care model. The collaborative care model emphasized the role of clinical pharmacists in providing drug therapy management and treatment follow-up. Of the 50 subjects receiving usual care, 34 adhered to the prescribed drug regimen, while 34 out of 74 subjects in the collaborative care model adhered to the drug regimen. Construct a 95% confidence interval for the difference in adherence proportions for the populations of subjects represented by these two samples and interpret the result
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Question 1151401: If X is normal with mean 0 and variance 4 then find the probability of the
event when X - 4/X is positive i.e X - 4/X is greater than zero?

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Question 1152057: If P(x) = 0.42, find the complement.
Click here to see answer by ikleyn(52754) About Me 

Question 1152070: According to StatsSa, the unemployment rate in South Africa as of 2018 has risen to 28%. For randomly selected group consisting of eight South Africans, what is the probability that at least two are unemployed?
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Question 1152081: A box contains 10 red marbles and 10 green marbles.
a. Sampling at random from the box five times with replacement, you have drawn a
red marble all five times. What is the probability of drawing a red marble the sixth
time?
b. Sampling at random from the box five times without replacement, you have
drawn a red marble all five times. Without replacing any of the marbles, what is the probability of drawing a red marble the sixth time?

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Question 1152080: The probability that an employs at a company is female is.36. The probability that an employee is female and married is .19. Find the conditional probability that a randomly selected employee from this company is married given that she is female.
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Question 1152084: THREE research departments have 6,8, and 9 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference . In how many ways can this be done
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Question 1152082: Two cards are drawn from a well-shuffled ordinary deck of 52 cards. Find the probability that they are both aces if the first card is
a. Replaced
b. Not replaced

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Question 1152079: The probability that a football player weighs more than 230 pounds is .69, that he is at
least 75 inches tall is .55, and that he weights more than 230 pounds and is at least 75 inches tall is .43. Find the probability that a randomly selected football player weighs more than 230 pounds or is at least 75 inches tall.

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Question 1152079: The probability that a football player weighs more than 230 pounds is .69, that he is at
least 75 inches tall is .55, and that he weights more than 230 pounds and is at least 75 inches tall is .43. Find the probability that a randomly selected football player weighs more than 230 pounds or is at least 75 inches tall.

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Question 1152096: There are an equal number of males and females in your community, 15% of the population are indigent. At any one time, 45% of the males have high blood pressure. Assume that there is no causal relationship between gender, hypertension, and indigent status.
What is the probability that the next person who comes to your emergency room will be a hypertensive, indigent, man?

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Question 1152096: There are an equal number of males and females in your community, 15% of the population are indigent. At any one time, 45% of the males have high blood pressure. Assume that there is no causal relationship between gender, hypertension, and indigent status.
What is the probability that the next person who comes to your emergency room will be a hypertensive, indigent, man?

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Question 1152093: How many distinguishable permutations are there of the letters in WOODCOCK?
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Question 1152083: Five cards are drawn from a pack of well-shuffled cards without replacement. Find the probability that
a. 4 are aces and 1 is a king
b. 3 are 10's and 2 are jacks

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Question 1152083: Five cards are drawn from a pack of well-shuffled cards without replacement. Find the probability that
a. 4 are aces and 1 is a king
b. 3 are 10's and 2 are jacks

Click here to see answer by ikleyn(52754) About Me 

Question 1152107: A random number generator is used to select an integer from 1 to 100(inclusively) what is the probability of selecting the integer 51..using only an integer or decimal..
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Question 1152115: If P(X) = .23 and P(X and Y) = .12 and P(X or Y) =.34, find the complement of P(Y)?
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Question 1152095: What is the probability that it will take at most 3 throws until a six occurs on a dice
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Question 1152097: What is the probability of rolling a dice until a six occurs for more than 3 throws
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Question 1152123: In the laboratory analysis of samples from a chemical
process, five samples from the process are analyzed daily. In
addition, a control sample is analyzed two times each day to
check the calibration of the laboratory instruments.
(a) How many different sequences of process and control
samples are possible each day? Assume that the five
process samples are considered identical and that the two
control samples are considered identical.
(b) How many different sequences of process and control
samples are possible if we consider the five process samples
to be different and the two control samples to be identical?
(c) For the same situation as part (b), how many sequences
are possible if the first test of each day must be a control
sample?
a.7%21%2F%282%21%2A5%21%29
b.7%21%2F%282%21%29
c. ... It is said to be 6!. But, how's that possible? I need clarification for this

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Question 1152118: 4. A clinical trial is conducted to compare an experimental medication to placebo to reduce the symptoms of asthma. One hundred participants are enrolled in the study and randomized to receive either the experimental medication or placebo. The primary outcome is self-reported reduction of symptoms. Among 50 participants who receive the experimental medication, 30 report a reduction of symptoms as compared to 15 participants of 50 assigned to the placebo. Generate a 95% CI for the difference in proportions of participants reporting a reduction of symptoms between the experimental and placebo groups.
A) (1.237, 3.232)
B) (0.114, 0.486)
C) (0.600, 0.300)
D) (1.529, 8.012)

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Question 1152128: In a box there are five doughnuts, and Alice takes two of them at random. Out of the five doughnuts, three are cream-filled, and two are not. What is the probability that Alice obtains exactly one creamed-filled doughnut in the two she takes out of the box?
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Question 1152140: In how many ways can 5 differently colored marbles be arranged in a row?
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Question 1152147: The probability that a new automobile has a backup camera is 0.6. The probability that a new automobile has a GPS system is 0.4. The probability that a new automobile has both a backup camera and a GPS is 0.2. If a new automobile is selected at random, find the probability that it has neither a backup camera nor a GPS.
Click here to see answer by ikleyn(52754) About Me 

Question 1152127: A survey conducted about job satisfaction showed that 20% of workers are not happy with their current jobs. Two workers are selected at random, and it is observed whether or not they are happy with their current jobs. What is the probability that of these two workers, at least one of them is happy with their current job?
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Question 1152126: 12 movies - 5 action, 5 romantic comedies, 2 thrillers 6 snacks - 1 popcorn, 3 chips, 2 cookies
4 drinks - 2 juice, 2 soda
How many different combinations can I make to select 2 movies, 2 snacks, and 1 drink, if the order of the movies does not matter?

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Question 1152116: A radio station has a contest in which contestants toll a regular 6-sided die. If he rolls a 1 or 2, he wins $50. If he rolls a 3 or a 4, he wins $100. If he rolls a 5, he wins $1000. If he rolls a 6, he doesn't win anything. What is the probability that out of the first 5 contestants exactly 2 win $100?
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Question 1152099: 12 movies - 5 action, 5 romantic comedies, 2 thrillers 6 snacks - 1 popcorn, 3 chips, 2 cookies
4 drinks - 2 juice, 2 soda
a. What is the probability of choosing a chip and then a cookie?
b. What is the probability of choosing a juice?

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Question 1152098: Five cards are drawn from a pack of shuffled cards without replacement. Find the probability that
a. 4 are aces and 1 is a king
b. 3 are 10's and 2 are jacks

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Question 1152167: Sample of n=5 scores has a mean of 12, 1 new score is added and the new mean is calculated to be 11, what is the new score?
Click here to see answer by MathLover1(20849) About Me 
Question 1152167: Sample of n=5 scores has a mean of 12, 1 new score is added and the new mean is calculated to be 11, what is the new score?
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Question 1152167: Sample of n=5 scores has a mean of 12, 1 new score is added and the new mean is calculated to be 11, what is the new score?
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Question 1152161: a cube and an icosahedron is rolled at the same time. What is the probability of getting both unlike even numbers (they should not be doubles like (2,2), (4,4), and (6,6).
Click here to see answer by ikleyn(52754) About Me 

Question 1152092: 12 movies - 5 action, 5 romantic comedies, 2 thrillers 6 snacks - 1 popcorn, 3 chips, 2 cookies
4 drinks - 2 juice, 2 soda

Suppose I am planning a double feature, how many different ways can I order the two movies?
Thank you

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Question 1152171: Calculate the value of the sample variance. Round your answer to one decimal place.
6,6,8,8,8,14,6

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Question 1152183: a two digit number has each of the digits {0, 1, 2, 3, 4, 5, 6} appearing exactly once. what is the probability that the number is divisible by two?
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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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