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

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Question 1166365: the mean of n numbers is 5 if the number 13 is now included with n numbers the mean becomes 6 find the value of n

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Question 1166374: .5 where 90% above 10.0= ?
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Question 1166377: Five cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards is a club
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Question 1166385: A class has 4 seniors, 5 juniors, 3 sophomores, and 6 freshmen. If you randomly choose
6 students, what is the probability that:
a. You choose at least 2 seniors?
b. You choose exactly 3 juniors and 3 freshman

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Question 1166288: Students who bought iPod devices complained about having received defective iPods. The
industry standard for such devices has been two percent defective devices. In a sample of 120
units sold, 6 units were defective.
Required:
a) Compute the proportion of defective items in the sample. (2)

how do i tackle this question

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Question 1166219: Question # 3: the same physical fitness test was given to a group of 100 scouts and to a group of 144 guides. The maximum score was 30. The guides obtained a mean score of 26.81 and the scouts obtained a mean of 27.53. Assuming that the fitness scores are normally distributed with a common population standard deviation of 3.48, test at the 5% level of significance whether the guides did not do as well as the scouts in the fitness test.
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Question 1166168: The number of members arriving at a gym follows a Poisson distribution with a mean of 2 members per minute.
(a) What is the probability that 3 members arrive in 30 seconds?
(b) Determine the probability (in percentage) that the lady at the front entrance can have a 2 minute uninterrupted coffee break?

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Question 1166399: he lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.6 and 51.9 min.
Click here to see answer by themasterofcircuits(27) About Me 

Question 1166418: Searches related to Approximately 60% of all small businesses in Canada have a web site. 8 small businesses were randomly selected to see how many of them have a website. Assume a binomial distribution for the following questions.
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Question 1166419: Approximately 60% of all small businesses in Canada have a web site. 8 small businesses were randomly selected to see how many of them have a website. Assume a binomial distribution for the following questions.
Round all final answers to 3 decimal places.
(a) What is the number of independent trials?
(b) What is the probability of success during one independent trial?
(c) What is the probability that exactly 5 of the businesses will have a website?
(d) What is the probability that at least one of the businesses has a website?

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Question 1166420: Data on college graduates' employment indicate that 35% of the graduates find a part-time job within a year of their graduation, 25% of them find a full-time job and the rest of them are unemployed.
Round your final answer to 1 decimal place and express your answer in percent form (i.e. 30.0% instead of 0.3)
If we randomly select 2 graduate students within a year of their graduation, what is the probability that at least one of them has a job (full-time or part-time)?

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Question 1166409: a fire system has seven fail safe components. The probability of each failing is 0.07. Find these probabilities.
1. exactly 4 will fail
2.More then four will fail

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Question 1166425: Giving a test to a group of students, the grades and gender are summarized below
........ A B C Total
Male 10 12 15 37
Female 16 6 19 41
Total 26 18 34 78

If one student is chosen at random,
Find the probability that the student did NOT get an "C"

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Question 1166424: The controls of an airplane have several backup systems or redundancies so that if one fails the plane will continue to operate. Suppose that the mechanism that controls the flaps has two backups. If the probability that the main control fails is .0001 and the probability that each backup will fail is .01, what is the probability that all three fail to operate?

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Question 1166424: The controls of an airplane have several backup systems or redundancies so that if one fails the plane will continue to operate. Suppose that the mechanism that controls the flaps has two backups. If the probability that the main control fails is .0001 and the probability that each backup will fail is .01, what is the probability that all three fail to operate?

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Question 1166422: There is a bag with 5 red marbles, 11 blue marbles and 4 green marbles. If you always draw tokens without replacement, what is the probability that you:
a. need to draw more than 4 marbles to get a red marble
b. draw 4 marbles and get only one green marble

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Question 1166433: A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of to . In a recent year, the national mean score for the writing section was , with a standard deviation of . Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year.
Click here to see answer by greenestamps(13195) About Me 

Question 1166434: The Acme Candy Company claims that 60% of the jawbreakers it produces weigh more than 0.4
ounces. Suppose that 800 jawbreakers are selected at random from the production lines. Use the
Range Rule of Thumb to determine whether it is statistically significant for this sample of 800 to
contain 494 jawbreakers that weigh more than 0.4 ounces? Consider as significant any result that
differs from the mean by more than 2 standard deviations. Show all work (using Range Rule of
Thumb) required to obtain your answer. Clearly state all important values involved.

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Question 1166428: The following table represents the age of drivers (in years) and the major causes of 1318 car accidents.
Age Speeding Careless Driving Drinking and Driving Total
Below 25 278 77 285 640
25 and above 296 204 178 678
Total 574 281 463 1318

Round all final answers to 4 decimal places in the following questions.
(a) Find the probability that a randomly chosen car accident is caused by a careless driver under 25 years old.

(b) Find the probability that a randomly chosen car accident is caused by either drinking and driving or speeding.

(c) Find the probability that a randomly chosen car accident is caused by either drinking and driving or a driver under 25 years old.

(d) Given that a car accident was caused by speeding, calculate the probability that the driver was at least 25 years old.

(e) If two car accidents are randomly chosen (without replacement), calculate the probability that they are both caused by careless driving

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Question 1166056: A marketing manager makes the statement that the long run probability that a customer would prefer Samsung model to Nokia model of a product is 30%.
(a) What is the probability that exactly three in a random sample of 10 customers will prefer the
Samsung model?

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Question 1166446: A multinational oil company is considering setting up a subsidiary in Grenada. They realize that the success depends in part on the ensuing political climate in Grenada. Management estimates the probability of success (in terms of resulting revenues from the subsidiary during its first year of operation) is 0.55 if the prevailing political condition is favorable, 0.30 if the political condition is neutral and 0.10 if the prevailing political condition is unfavorable. They further estimate the probabilities of favorable, neutral, and unfavorable as 0.6, 0.2 and 0.2 respectively. What is the probability of success of the new subsidiary?

Please help, thanks

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Question 1166444: Suppose that at any sitting of BUSI319, 35% of the students are first year; 30% are second year; 25% are final year and 10% are qualifying to enter various programs (assume mutually exclusive). From records of the Statistics department, it was found that 20% of the first year students get A; 30% of the second year students get A; 35% of the final year students get A; 25% of the qualifying students get A. What is the probability a randomly chosen student will get an A? Given that a student got an A, what is the probability the student was first year? Second year? Third year? Qualifying?
Please help, thanks

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Question 1166282: Suppose a, b, c, d, e, f are data set of nonnegative integers such that the
midrange is 5 and the mean is 6. Find all the possible median of the given
data set that satis fies the following:
i) the mode is a bimodal,
ii) the lowest value is unique, and
iii) the highest value is unique.

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Question 1166282: Suppose a, b, c, d, e, f are data set of nonnegative integers such that the
midrange is 5 and the mean is 6. Find all the possible median of the given
data set that satis fies the following:
i) the mode is a bimodal,
ii) the lowest value is unique, and
iii) the highest value is unique.

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

Question 1166474: A large study was undertaken to determine who is and who is not covered by health insurance in the United States. From this study, the following table was produced.
Age Category Has Health Insurance Has No Health Insurance
Under 30 196 132
30 to 50 155 289
Over 50 142 100

If one person is selected at random, the probability he/she is under 30 or has insurance is equal to
0.616
0.810
0.193
0.190
0.807

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Question 1166471: A survey finds customers are charged incorrectly for 2 out of every 10 items. Suppose a customer purchases 14 items. Find the probability that the customer is charged incorrectly on at least 3 items.
In order to achieve this you have to add the binomial probability of 0, 1, 2, 3 together. Yet for some reason I keep turning up wrong... on my 3rd question with 3 attempts each.... I got:
3) .2501388953
2) .2501388953
3) .1539316279
4) .0439804651
=.6982
Please help....

Click here to see answer by Boreal(15235) About Me 

Question 1166479: . Find out if there is a correlation - positive, negative, or no correlation - between the
length of your hand to your height. Measure the length of your right hand and five to
ten other persons i.e., from the wrist to the tip of your middle finger in centimeter
scale. Then, determine the corresponding heights in cm. Make a table of the two
variables. Calculate the Pearson correlation coefficient 𝑟𝑥𝑦 of the data set.

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Question 1166478: Determine which kind of sampling was used in each of the following scenarios.
(Random, Stratified Random, Systematic, Cluster, Purposive, Convenience, Quota)
In a study wherein, a researcher wants to know what it takes to graduate with honors
in their School. The only people who can give the researcher first hand advise are
the individuals who graduated with honors.

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Question 1166467: Age in years
under 35 35-44 45-54 55-64 over 64 Total
Male 5 2 7 2 17 33
Female 12 1 2 3 1 19
Total 17 3 9 5 18 52
What is the probability that a randomly selected manager is 35-44
I would like to see the math and how this response is achieved

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Question 1166467: Age in years
under 35 35-44 45-54 55-64 over 64 Total
Male 5 2 7 2 17 33
Female 12 1 2 3 1 19
Total 17 3 9 5 18 52
What is the probability that a randomly selected manager is 35-44
I would like to see the math and how this response is achieved

Click here to see answer by ikleyn(52750) About Me 

Question 1166465: Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p.
n = 8, p = 0.3, P(2)

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Question 1166465: Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p.
n = 8, p = 0.3, P(2)

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Question 1166500: In a dice game, you lose if you roll a sum of 2, win if you roll a sum of 7, and roll again if you roll anything else. What is the probability of rolling the dice at least twice?
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Question 1166498: In the game of poker, a straight consists of 5 cards increasing in value by 1, such as 2, 3, 4, 5 and 6. A flush consists of 5 cards of the same suit. Are a straight and a flush mutually exclusive?
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Question 1166497: In the game of poker, a full house consists of three cards of one value plus a pair of another value. Four of a kind consists of four cards of one value plus another card. Are a full house and four of a kind mutually exclusive?
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Question 1166499: A box contains 5 slips of blue paper numbered from 1 to 5 and 6 slips of red paper numbered from 1 to 6. What is the probability of selecting a random slip that is blue and has an odd number?
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Question 1166501: A cooler contains 8 apple juice boxes, 9 cherry juice boxes, 6 strawberry juice boxes, and 5 orange juice boxes. You pick a box at random. What is the probability that it is apple or cherry, or not orange?
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Question 1166492:
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Question 1166522: Consider an area where 40% of the population has cats and 30% of the population has dogs. Find the percentage of the population that has both cats and dogs if 50% of the population has neither a cat or a dog?
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Question 1166529: a pair of dice is tossed. find the probability that one of the dice is 2 if the sum is 6!
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Question 1166511: We are rolling a 6 sided die. Let A be the random event of how many rolls it takes to roll your first 4. What is the probability mass function and prove that the values of f(x) add up to 1.
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Question 1166589: In a state's Pick 3 lottery game, you pay $0.86 to select a sequence of
three digits (from 0 to 9), such as 977. If you select the same sequence of
three digits that are drawn, you win and collect $301.25. Answer the
following questions.
complete the table
expected win
expected loss

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Question 1166660: What is the probability of drawing three black cards in a row out of standard deck of 52 cards (assuming you do not replace cards after each draw)?
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Question 1166669: Suppose the distribution of distribution of the number of days the typical college student consumes alcohol per year has a mean of μ = 90 and σ = 7.2. What is the probability that a given college student will consume alcohol more than twice per week?
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Question 1166657: A political candidate has asked you to conduct a poll to determine what percentage of people support her.
If the candidate only wants a 3% margin of error at a 99% confidence level, what size of sample is needed?
Give your answer in whole people.

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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, 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