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

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Question 1131503: The heights are measured for supermodels Niki Taylor, Nadia Avermann, Claudia Schiffer, Elle MacPherson, Christy Turlington, Bridget Hall, Kate Moss, Valeria Mazza, and Kristy Hume. These nine models have a mean of 70.2 inches and a standard deviation of 1.5 inches. With a 0.01 level of significance, test the claim that supermodels have heights with a mean that is greater than 63.6 in (average height for all women).What is
A) The null and alternative Hypothesis?
B)The test statistic?

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Question 1131947: Need help with this problem
Find the z-score for the standard normal
distribution where:
P(-a < z < 0) = 0.1844

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Question 1131947: Need help with this problem
Find the z-score for the standard normal
distribution where:
P(-a < z < 0) = 0.1844

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Question 1131974: in a shipment of 25 micromave ovens , 2 are defective if two ovens are randomly selected and tested find the probability that both are defective if the first one is not replaced after it has been tested
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Question 1131974: in a shipment of 25 micromave ovens , 2 are defective if two ovens are randomly selected and tested find the probability that both are defective if the first one is not replaced after it has been tested
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Question 1131979: The probability that a person owns a Adele song is .75, that a person owns a Blake Shelton song is .65, and that a person owns both is .23. Find the probabilitiy that a person owns either song but not both.
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Question 1131966: A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 20 and a standard deviation of 5.3. Scores on the second test are normally distributed with a mean of 69 and a standard deviation of 11.8. Assume that the two tests use different scales to measure the same aptitude. If a student scores 28 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)
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Question 1131493: Which of the following is NOT necessary in determining how large a sample to select from a
population in order to construct confidence interval?
A. Confidence level.
B. Sampling error.
C. Estimate of the population variation.
D. Method of the probabilistic sampling.

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Question 1131989: The American Veterinary Medical Association believes that half of veterinary clinics do not treat large animals (cows, horses, etc.).
The American Veterinary Medical Association conducted a survey of veterinary clinics to estimate the proportion that do not treat large animals (cows, horses, etc.). In the survey of 120 randomly selected veterinary clinics throughout the country, 88 responded they do not treat large animals.
The test statistic for the above hypothesis test about the proportion of clinics that do not treat large animals is...
(Round your answer to two decimal places)

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Question 1132005: Two fair coins were tossed and it is known that at least one was a head. Find the probability that they were both heads.

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Question 1131670: Solve the following linear programming problem using the corner-point method.
Maximize: P = 3X + 54Y
Subject to: 4X + 4Y 1X + 2Y Y >/= 2
X, Y >/= 0

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Question 1132012: A bridge hand is made up of 13 cards from a deck of 52. Find the probability that a hand chosen at random contains only hearts.
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Question 1132012: A bridge hand is made up of 13 cards from a deck of 52. Find the probability that a hand chosen at random contains only hearts.
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Question 1132011: A company survey showed that 70% of the population like the product. Base on that, in a sample of 58 people, find the probability between 28+30 (inclusive) liked the product.
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Question 1132009: A medical experiment showed the probability a new medicine is effective is 0.75. The probability of a side effect is 0.4 and the probability that both events would occur is 0.3. Decide by formula whether these events are independent.
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Question 1131993: Need help in solving this problem!
In the past election, the voter turnout was 65%, in a survey 819 subjects were asked if they voted in the election, find the mean and standard and in the survey of 819 people said that they voted in the election, is the result consistent with the turnout, or is this result unlikely to occur with a turnout of 65%? Why or why not? Based on these results, does it appear that accurate voting results can be obtained by asking votes how they acted?

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Question 1131669: Andrew McCarroll is trying to determine how many units each of two cordless telephones to produce each day. One of these is the standard model; the other one is the deluxe model. The profit per unit on the standard model is $40, on the deluxe model $60. Each unit requires 30 minutes assembly time. The standard model requires 10 minutes of inspection time, the deluxe model 15 minutes. The company must fill an order for six standard phones. There are 450 minutes of assembly time and 180 minutes of inspection time available each day. How many units of each product should be manufactured to maximize profits?
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Question 1131614: The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 26.23 minutes.




(Please enter your answers as fractions in lowest terms or as decimals rounded to four decimal places. Thank you!)



a. Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 9 minutes?

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Question 1131589: The lifetime of a mechanical assembly in a vibration test is exponentially distributed with mean of 404 hours. If an assembly has been tested 300 hours without a failure, what is the probability of a failure in the next 64 hours?



(Please enter your answers as fractions in lowest terms or as decimals rounded to four decimal places. Thank you!)

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

Question 1131492: Sick-leave time used by employees of a firm in one month approximates a normal distribution with a mean of 165 hours and a variance of 225. In planning schedules for next month, how much time should be budgeted for sick leave if that amount is to be exceeded with a probability of 0.992?



(Please round your answer to four decimal places if necessary. Thank you!)

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Question 1131398: A manufacturer of light bulbs claims that its light bulbs have a mean life of 693 hours and a standard deviation of 117 hours. You purchased 144 of these bulbs and decided that you would purchase more if the mean life of your current sample exceeded 685 hours. What is the probability that you will not buy again from this manufacturer? Give your answer correct to four decimal places.
Click here to see answer by Boreal(15235) About Me 

Question 1132032: Rick is playing cards with John when he draws a card from a
pack of 40 cards numbered from 1 to 50. What is the probability
of drawing a number that is a square?

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Question 1131711: (Please enter your answers as fractions in lowest terms or as decimals rounded to four decimal places. Thank you!)




If an assembly has been tested 300 hours without a failure, what is the probability of a failure in the next 64 hours? The lifetime of a mechanical assembly in a vibration test is exponentially distributed with mean of 404 hours.

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Question 1131236: Find the minimum sample size you should use to assure that your estimate if p will be within the required margin of error around the population p. Margin of error: 0.05; confidence level: 99%; from a prior study, p is estimated by 0.13
Click here to see answer by Boreal(15235) About Me 

Question 1131697: Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 9 minutes? The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 26.23 minutes.




(Please enter your answers as fractions in lowest terms or as decimals rounded to four decimal places. Thank you!)


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Question 1132046: A pair of dice is tossed and the sum of the two dice is calculated. Find the probability the sum is 3.

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Question 1132046: A pair of dice is tossed and the sum of the two dice is calculated. Find the probability the sum is 3.

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Question 1132047: Flip a coin 10 times , what is the probability of not getting a head?
What is the probability of getting a head at least 2 times?

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Question 1132045: Identify the given item as probability distribution, continuous random variable, or discrete random variable.
The chance that 5 or 6 field goals will be attempted in a football game.

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Question 1131226: A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.3 in and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.7 in.
1-What percentage of adult men can fit through the door without bending?
2- Does the door design with a height of 56.35in. appear to be adequate? Why didn't the engineers design a larger door? Choose answer below
A. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.
B. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.
C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.
D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.
3- What doorway height would allow 40% of men to fit without bending?

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Question 1131638: Suppose your state lottery has an expected value of
−38%.
If you spend $30 per month on lottery tickets, how much money would you be expected to lose in an average year?
We can expect to lose $

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Question 1131611: With usual notations find p for a financial random variable if n=6 and if 9P(X=4)=P(X=2)
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Question 1132052: Question 1 The Sales manager at Hybrid Industries a high tech farming agency claims that there has been a drop in the sales from the target of $2800/- per week. Data was collected for the last 48 weeks and the sample mean was computed as $ 2435/- with a s.d. $ 351. Verify at 5% los if the manager’s claim can be accepted based on the sample observations
Question 2 Guests travelling on two different airlines (West Fly Airlines and Air Cosmos) were surveyed for their satisfaction levels of the services offered. 123 of 180 guests travelling by West Fly and 157 of the 200 guests travelling by Air Cosmos rates the respective airlines high on service quality. Do the data provide enough evidence to infer that there is no significant difference between the service qualities of the two airline companies? (Use 5% los)

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

Question 1131494: The lifetime of a mechanical assembly in a vibration test is exponentially distributed with mean of 404 hours. If an assembly has been tested 300 hours without a failure, what is the probability of a failure in the next 64 hours?



(Please enter your answers as fractions in lowest terms or as decimals rounded to four decimal places. Thank you!)

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

Question 1131482: In order to increase customer service, a muffler repair shop claims its mechanics can replace a
muffler in less than 12 minutes. A time management specialist selected six repair jobs and found their
mean time to be 11.6 minutes. The standard deviation of the sample was 2.1 minutes. At a 0.025 level of
significance, is there enough evidence to support the shop’s claim?

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Question 1132051: BusinessWeek conducted a survey of graduates from 30 top MBA programs (BusinessWeek,
September 22, 2003). The sample of 1800 respondents had 987 female graduates. On the basis of the survey, assume that the mean annual salary for male and female graduates 10 years after graduation is $1.68mn and $1.17mn, respectively. Assume the standard deviation for the male graduates is $0.4 mn, and for the female graduates it is $0.25 mn
Question 1 :Construct the 95% confidence interval for proportion of males in the population
Question 2:Assuming a normal distribution, what is the probability that a female graduate will earn more than $ 1.75mn 10 years after graduation
Question 3:If the top 10% of the earners among males have to be identified, what should the annual salary cut off be?

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Question 1132067: For the following set of data, find the coefficient of variance to the nearest tenth percent (13,5,6,8,1,6,5,4,12,5,6,4,8,4,4).

email address: donnadjsewfine65@gmail.com

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Question 1132074: Using relevant examples describe the various scales of measurement
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Question 1132082: The time required to finish a test in normally distributed with a mean of 80 minutes and a standard deviation of 15 minutes. What is the probability that a student chosen at random will finish the test in more than 95 minutes
Click here to see answer by Boreal(15235) About Me 

Question 1132081: Using relevant examples describe the various scales of measurement
Click here to see answer by Boreal(15235) About Me 

Question 1132070: The Sales manager at Hybrid Industries a high tech farming agency claims that there has been a drop in the sales from the target of $2800/- per week. Data was collected for the last 48 weeks and the sample mean was computed as $ 2435/- with a s.d. $ 351. Verify at 5% los if the manager’s claim can be accepted based on the sample observations.
Click here to see answer by Boreal(15235) About Me 

Question 1132071: Guests travelling on two different airlines (West Fly Airlines and Air Cosmos) were surveyed for their satisfaction levels of the services offered. 123 of 180 guests travelling by West Fly and 157 of the 200 guests travelling by Air Cosmos rates the respective airlines high on service quality. Do the data provide enough evidence to infer that there is no significant difference between the service qualities of the two airline companies? (Use 5% los)
Click here to see answer by Boreal(15235) About Me 

Question 1132085: A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 365 babies were​ born, and 292 of them were girls. Use the sample data to construct a 99​% confidence interval estimate of the percentage of girls born. Based on the​ result, does the method appear to be​ effective?
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Question 1132072: 7 tourists were asked about the airfare expenses and their total budgeted amount in their last travel/holiday.
Air fare (in ‘000s of Rupees)
15
28
10
9
11
16
12
Total Budget (in ‘000s of rupees)
120
145
130
102
180
95
100
What is the expected budget for an individual of this group if the airfare to a certain city of her choice is Rs.8.9K?

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Question 1131617: 2.14 A batch of 200 specimen of fiber reinforced composite material when tested for strength and density yielded the following data
High density Low density
High strength 151 11
Low strength 18 20
According to the information stated above
a. Determine the probabilities that both its strength and density are low
b. Determine the probabilities that its strength is high and density is low
c. Consider the even E1 that a specimen has high strength and the event E2 that a specimen has high density are the events E1 and E2 are mutually exchusive
is anyone know this question in which book

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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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