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

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Question 1096145: I need help. Thank you.
A biased coin has a 70 % chance of landing on heads. The coin tossed 3 times in a row. What is probability of "exactly 2 heads given that at least 1 head showing up.
2 heads given is hht, hth, thh, so (0.7*0.7*0.3)*3=0.441.
But confused with at least 1 head part.

Click here to see answer by greenestamps(13195) About Me 

Question 1096092: Two cards are drawn,one after the other,with replacement from a pack of 52 cards containing four aces and four queens. The probability that the cards are either both aces or queens is
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Question 1096086: how do i compute and show my work for 9C3 and 9P3

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Question 1096267: A lottery ticket costs $10. There is a probability of .000001 that you win $3 million and a probability of .001 that you win $1,000. In all other cases, you win nothing.
What is the expected value of the ticket?

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Question 1096341: 3
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Question 375958: You own 17 CDs. You want to randomly arrange 9 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?
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Question 534794: A box contains 50 balls numbered from 1 to 50. If 10 balls are drawn with replacement, what is the probability that at least two of them have the same number?
Any help would be appreciated! Thank you!

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Question 1096330: Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the last six months following the exercise program. Below are the results.

Employee Before After
1 6 5
2 5 4
3 7 2
4 6 3
5 4 2
6 5 6
7 7 2
8 6 7

At the 0.005 significance level, can he conclude that the number of absences has declined? Hint: For the calculations, assume the "Before" data as the first sample.

Reject H0 if t > ____. (Round your answer to 3 decimal places.)

The test statistic is ___. (Round your answer to 3 decimal places.)

The p-value is ___.

Decision: ____ H0.

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Question 1096332: Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, it uses different media to reach potential buyers. The mean annual family income for 14 people making inquiries at the first development is $157,000, with a standard deviation of $43,000. A corresponding sample of 25 people at the second development had a mean of $170,000, with a standard deviation of $29,000. Assume the population standard deviations are the same.

1.
State the decision rule for .10 significance level: H0: μ1 = μ2; H1:μ1 ≠ μ2. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

Reject H0 if t is not between ___ and ____.

2.
Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

Value of the test statistic ____

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Question 1096303: A townie is tossed 6 times, what is the probability distribution for the number of times you get Queen side up?
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Question 1096446: If a shipment arrives on time 73% of the time, what is the probability that it will not arrive on time. Answer should be between 1 and 0.
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Question 1096462: Assume you are rolling two​ dice; the first one is​ red, and the second is green. Use a systematic listing to determine the number of ways you can roll a total less than 9 on the two dice.
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Question 1096352: a pair of dice is thrown. find the probability of getting 7 as the, sum if it is known that the second die always exhibits an odd number
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Question 1096463: what is the answer for :
For drivers aged 20-24 there is a 34% chance of having a car accident in a one year period (based on data from the National Safety Council). In a sample of 12 drivers aged 20-24, let X be the number who have had an accident in the last year. Consider the following probability distribution for X. Find P(x), when x = 5
Given table
x P(x)
6 0.1180
7 0.0521
8 0.0168
9 0.0038
10 0.0006
11 0.0001
12 0.0000

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1096509: Six basic colors are used in decorating a new condominium. They are applied to a unit in groups of four colors. One unit might have gold as the principal color, blue as a complementary color, red as the accent color, and touches of white. Another unit might have blue as the principal color, white as the complementary color, gold as the accent color, and touches of red. If repetitions are permitted, how many different units can be decorated?
How do I explain how I got my answer of 1,296? I know its rules of multiplication, but I don't know how to explain my answer to my professor.

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Question 1096438: A brand name has a 40​% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small sample of 8 randomly selected consumers. Complete parts​ (a) through​ (d) below.

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Question 1096487: A certain company's IT department has found that 18% of all visitors to the company website arrive there in error. (They are actually looking for another website.) If this percentage is correct, what is the probability that, in a random sample of 7 visitors to the website, exactly 2 arrive in error?
Round your answer to three decimal places.

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Question 1096375: On a multiple choice question with five choices, 70% of students know the correct answer and there is 5%
chance that a student will pick the wrong answer even if he knows it. If a student gets the problem right,
what is the probability that he really knows the answer?

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Question 1096559: In a survey among B school students, 68% of those surveyed were in favour of atleast one of three magazines A,B and C. 38% of those surveyed favoured magazine A. 26% favoured magazine B and 36% favoured magazine C. If 11% of those favoured all three magazines. What percent of those surveyed favoured more than one of the three magazines?
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Question 1096605: what is the probability of a club card or face card being picked out of a deck of 52 cards?
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Question 1096523: A schoolteacher is concerned that her students watch more TV than the average American child. She reads that according to the American Academy of Pediatrics (AAP), the average American child watches 4 hours of TV per day
(μ = 4.0 hours).
She records the number of hours of TV each of her six students watch per day. The times (in hours) are 4.8, 2.5, 2.7, 4.6, 4.0, and 5.4.
(a) Test the hypothesis that her students watch more TV than the average American child using a 0.05 level of significance and a one-independent sample t-test. State the value of the test statistic. (Round your answer to three decimal places.

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Question 1096505: Q.3. Solve the following problems
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Question 1096686: A jar contains 4 chocolate chip biscuits, 6 Anzac biscuits and 10 coconut biscuits, what is the probability of picking a chocolate chip biscuit?
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Question 1096632: The average annual cost of the first year of owning and caring for a large dog is $1,843 (US News and World Report, September 9, 2013). The Irish Red and White Setter Association of America has requested a study to estimate the annual first-year cost for owners of this breed. A sample of 50 will be used. Based on past studies, the population standard deviation is assumed known with σ = $255.
a.  What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for this breed (to 2 decimals)?

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Question 1096763: a card is drawn from a well-shuffled deck of 52 card. Find P(drawing an ace or a 9)
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Question 1096798: From a group of 10 members of a board, how many committees of 5 members can be form?
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Question 1096830: In a horse race, how many different finishes among the first 3 places are possible if 20 horses are running?(Exclude ties)

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Question 1096848: n a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25 find the probability that the number drawn is a multiple of 11 or a multiple of 4
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Question 1096886: A pair of dice is rolled. Find the probability that the sum
of the two dice is greater than 1

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Question 1096888: Theo owns a large company and is hiring five people from an applicant pool consisting of eight men and six women. What is the probability that Theo will hire all men? Would this be unusual?
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Question 1096847: The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample statistics from one experiment include 430 peas with 116 of them having yellow pods. Find the value of the test statistic.
Click here to see answer by Fombitz(32388) About Me 

Question 1096952: A homeowner wants to repaint her home and install new
carpets (no store where she live sells both paint and carpet). She plans
to get the services from the stores where she buys the paint and
carpet. Suppose there are 12 paint stores with painting service
available and 15 carpet stores with installation services available in
that city. In how many ways can she choose these two stores?

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Question 1096937: 65% of students in a Statistics class said that they liked Statistics more than Algebra. If 3 of these students are randomly selected, what is the probability that all 3 students said that they liked Statistics more than Algebra?

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Question 1097000: From 4 men and 2 women. 3 persons are chossen at random to form a committee. find the probability that the committee consists of at least one person on either sex

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Question 1096963: what is probability of getting 9 cards of the same suit in one hand at a game of bridge

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Question 1097004: The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.572.57 inches and a standard deviation of 0.030.03 inch. A random sample of 1010 tennis balls is selected. Complete parts​ (a) through​ (d) below.
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Question 1096958: 4 cards drawn from 52 cards randomly find out the probability of 1.they are a king, a queen, jack , an ace
2.two are king and two are queen

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Question 1097018: A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling a number greater than 6.

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Question 1096953: A lot of 50 electrical components numbered 1-50 is drawn at
random, one by one, and is divided among five customers.
(a) Suppose that it is known that components 3, 18, 12, 26, and 46 are defective. What is the
probability that each customer will receive one defective component?
(b) What is the probability that one customer will have drawn five defective components?
(c) What is the probability that two customers will receive two defective components each,
two none and the other one?

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Question 1096925: The distribution of National Honor Society members among the students at a local high school is shown in the table. A student's name is drawn at random.
Table:
Class. Total. National Honor Society
•Senior. •92. •37
•Junior. •112. •30
•Sophomore •125. •20
•Freshman. • 120. •0
a) What is the probability that a student is a junior?
b) What is the probability that the student is a senior, given that the student is in the National Honor Society?

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Question 1097020: In a sample of 1200 U.S. adults, 202 dine out at a restaurant more than once per week. Two
U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S. adults, complete parts (a) through (d).
a)Find the probability that both adults dine out more than once per week.

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Question 1097027: A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 85% of the time if the person has the virus and 10% of the time if the person does not have the virus. (This 10% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive"
a) Find the probability that a person has the virus given that they have tested positive, i.e. find P(A|B). Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(A|B)=
b) Find the probability that a person does not have the virus given that they test negative, i.e. find P(A'|B'). Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(A'|B') =

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Question 1096916: Assume that mean height of soldiers to be 68.22 inches with a variance of 10.8 inches. How many soldiers in a regiment of 1000 would you expect to be over six feet tall?
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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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