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

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Question 1202195: the probability that a person has received a speeding ticket is 0.35. the probability of a person driving a red car is 0.15. what is the probability of randomly choosing a driver with a speeding ticket who's car is not red.

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Question 1202162: The incubation time for chicks is normally distributed with mean 21 days and standard deviation approximately 1 day. If 1000 eggs are being incubated, how many chicks do we expect will hatch?
a) in 19 to 23 days?
b) in 22 days or more?
c) in 21 days or fewer?
d) in 18 to 21 days?
e) in 19 days or fewer
f) in 19 to 24 days?
g) in 18 to 24 days?
h) in 18 days or more?


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Question 1202211: In a race with 10 participants, how many ways are there to award gold, silver, and bronze medals if no participant can win more than one medal?

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Question 1202211: In a race with 10 participants, how many ways are there to award gold, silver, and bronze medals if no participant can win more than one medal?

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Question 1202210: A bookshelf has 10 books, including 3 math books, 4 science books, and 3 history books. In how many ways can they be arranged on a shelf?

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Question 1202209: A password must be created using 4 letters from the word "PASSWORD". In how many ways can the letter be arranged?

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Question 1202209: A password must be created using 4 letters from the word "PASSWORD". In how many ways can the letter be arranged?

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Question 1202208: A necklace can be made using 5 different colors of bead. In how many ways can the beads be arranged in a circle if the necklace must start and end with the same color?

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Question 1202208: A necklace can be made using 5 different colors of bead. In how many ways can the beads be arranged in a circle if the necklace must start and end with the same color?

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Question 1202176: the completion time for a certain marathon race was 2.6 hrs. with a standard deviation of 0.4 hours. What can you determine about these data by using Chebyyaahevs inequality with k=3?
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Question 1202215: If y varies jointly as m and p and inversely as the cube root of w. If y = 12, when m = 3, p = 2, and w = 512, find y when m = 5, p = 2, and w = 125.
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Question 1202215: If y varies jointly as m and p and inversely as the cube root of w. If y = 12, when m = 3, p = 2, and w = 512, find y when m = 5, p = 2, and w = 125.
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Question 1202215: If y varies jointly as m and p and inversely as the cube root of w. If y = 12, when m = 3, p = 2, and w = 512, find y when m = 5, p = 2, and w = 125.
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Question 1202215: If y varies jointly as m and p and inversely as the cube root of w. If y = 12, when m = 3, p = 2, and w = 512, find y when m = 5, p = 2, and w = 125.
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Question 1202234: The duration of a professor's class has continuous uniform distribution between 49.2 minutes and 55.5 minutes. If one class is randomly selected and the probability that the duration of the class is longer than a certain number of minutes is 0.536, then find the duration of the randomly selected class, i.e., if P(x>c)=0.536, then find c, where is c the duration of the randomly selected class. Round your answer to one decimal places.
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Question 1202236: Your drawer contains 9 red socks and 7 green socks. It’s too dark to see which are which so when you grab them you are randomly selecting socks. The probability that the first two you pick are both red socks is
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Question 1202243: A pond contains five catfish and six bluegill. If seven fish are caught at random, what's the probability that exactly three are catfish?
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Question 1202239: The city transit authority surveyed 1,000 citizens who regularly use public transportation. Of those surveyed, 658 users said they paid using a monthly subscription as opposed to paying for each ride individually. The margin of error is 2.94%.
Complete the claim that the authors can include in their report.
The transit authority can be 95% confident that the percentage of citizens using public transportation with a monthly subscription is between
% and
%.

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Question 1202249: A packaging company prints 100,000 boxes per day. They determine that their printing machines are making a mistake on an average of 0.11% of boxes per day with a margin of error of ±0.01%. How many boxes will need to be recycled due to a printing error in one week?
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Question 1202249: A packaging company prints 100,000 boxes per day. They determine that their printing machines are making a mistake on an average of 0.11% of boxes per day with a margin of error of ±0.01%. How many boxes will need to be recycled due to a printing error in one week?
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Question 1202131: A trucking firm suspects that the average lifetime of 25,000 miles claimed for certained for certain tires is too high. To test the claim, the firm puts a random sample of 40 of these tires on its truck and later fins that their average lifetime is 24,421 miles and the standard deviation is 1,349. What can it conclude at 0.01 level of significance
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Question 1202275: ​93% of Dr.​ William's patients end up with​ 20-30 vision or better. Find the probability that exactly 3 of her next 5 patients end up with​ 20-30 vision or better.
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Question 1202297: A business woman has a choice has 5 areas in which to locate
her business. She rates each location according to certain criteria.
How many different ways can she rank the 5 location

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Question 1202308: Good Afternoon, for my other question please help me with this question since I'm finding it difficult to solve it myself.
Normal Distribution
The distribution of SAT scores in math for an incoming class in statistical analysis has a
mean of 750 and a standard deviation of 25. Assume that the scores are normally distributed.
(a) Find the probability that an individual’s SAT score is less than 700.
(b) Find the probability that an individual’s SAT score is between 730 and 780.
(c) Find the probability that an individual’s SAT score is greater than 760.
(d) What scores will the top 4% of students have?
(e) Find the standardized values for students scoring 510, 590, 640, and 820 on the test.
Explain what these mean.

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Question 1202307: A popular soft drink is sold in 2.5-litre (i.e., 2,500 millilitres) bottles. Due to variations in
the production process, bottles have a mean of 2,500 millilitres and a standard deviation of
22, normally distributed.
(a) If the process fills bottles by more than 25 millilitres, the overflow will cause the machine
to overflow. What is the probability of this occurring?
(b) What is the probability of underfilling bottles by at least 15 millilitres?

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Question 1202316: A small regional carrier accepted 15 reservations for a particular flight with 13 seats. 11 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 42% chance, independently of each other.
(Report answers accurate to 4 decimal places.)

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Question 1202321: At Game shop
i. Exactly 7
ii. More than
iv. Find
QUESTION 5 [10 MARKS]
For a particular type
d)A sample space is
i. Determine
ii. Find.
iii. Find.
i. What proportion
ii. If more than

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Question 1202318: The lengths of a runner's workout have a continuous uniform distribution between 49.29 min and 55.55 min. If one such workout is randomly selected, find P60
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Question 1202324: 2. Suppose the rate of number of stays patients in a hospital is approximately normally distributed. If 75% of rates are 37 day or less, and if 10% of rates are 23 day or less, then find the distribution mean and standard deviation respectively
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Question 1202334: what is the probability of drawing 5 black cards from a deck if you know there are at least three black cards

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Question 1202329: If Z has a mean of 0 and a standard deviation of 1, determine the probability,
P(|Z| <2.0)

the answer is 0.9544 but i have no idea how they got that.

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Question 1202335: Find the probability that a poker hand of 5 cards will contain only black cards if it is known to contain 3 black cards.
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Question 1202043: We know both the mean and the standard deviation for the population of Total Behavior Problems scores (µ = 50 and σ = 10). Assume that we have a sample of fifteen children who had spent considerable time in a hospital for serious medical reasons, and further suppose that they had a mean score on the Child Behavior Checklist (CBCL) of 56.0. Test the null hypothesis that these fifteen children are a random sample from a population of normal children (i.e., normal with respect to their general level of behavior problems). Use α = 0.05. Set up 95% CI
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Question 1202293: a) A company makes tablets of which 85% of tablets would pass a quality control test by an inspector. If an inspector was to pick six tablets at random from a batch and at least four must pass in order for the batch to be approved, what is the probability that the batch passes inspection?
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Question 1202356: Suppose a jar contains 8 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random one at a time, without replacement, find the probability that both are red.
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Question 1202134: SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 86% confidence interval to 15 points, how many students should the administrator sample? Make sure to give a whole number answer.

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Question 1202366: A spinner with 6 equal sections: 1 to 6.
What is the probability of spinning a number greater than 4?

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Question 1202373: The mean score on the exit examination for an urban high school is 63 with a standard deviation of 7. What is the mean of the resulting distribution of sample means for n​9?
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Question 1202369: The following scores represent the final examination grades for an elementary
statistics course:
23 60 79 32 57 74 52 70 82 36
80 77 81 95 41 65 92 85 55 76
52 10 64 75 78 25 80 98 81 67
41 71 83 54 64 72 88 62 74 43
60 78 89 76 84 48 84 90 15 79
34 67 17 82 69 74 63 80 85 61
a) Make a stem-and-leaf display for these data. Show at least five stems. Sort
the data on each stem in order of increasing magnitude.
b) Find the median, lower quartile, and upper quartile of these data.
c) What fraction of the class received scores which were less than 65?
d) Make a frequency table, starting the first class interval at a lower class
boundary of 9.5. Use Sturges’ Rule.
e) Draw a frequency histogram.
f) Draw a relative frequency histogram on the same x-axis.
g) Draw a cumulative frequency diagram.
h) Find the mode.
i) Show a box plot of these data.

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Question 1202390: I am trying to figure out the relative frequency using the 68-95-99.7 rule. I understand it up until I have to figure out the RF is of a number or less, and vice versa, of a number or more.
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Question 1202387: An investigator wishes to study a particular environmental factor, namely, the relationship of cigarette-smoking habits in the parents to the presence or absence of asthma in their oldest child living in the household in the 5- to 9-year-old age range (referred to below as their offspring) Suppose that the investigator finds that (1) if both the mother and father are current smokers then the probability of their offspring having asthma is 0.15 (2) if the mother is a current smoker and the father is not then the probability of their offspring having asthma is 0.13. (3) if the father is a current smoker and the mother is not, then the probability of their offspring having asthma is 0.05 (4) if neither parent is a current smoker, then the probability of their offspring having asthma is 0.04.
The probability that the father is a current smoker is 0.5. If the father is a current smoker then the probability that the mother is a current smoker is 0.6; whereas if the father is NOT a current smoker then the probability that the mother is a current smoker is 0.2. What is the probability that the offspring will have asthma?

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Question 1202392: In a study of pleas and prison sentences, it is found that 35% of the subjects studied were sent to prison. Among those sent to prison, 30% chose to plead guilty. Among those not sent to prison, 50% chose to plead guilty.
If a study subject is randomly selected and it is then found that the subject entered a guilty plea, find the probability that this person was not sent to prison.

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Question 1202368: In a span of 60 days the percentage relative humidity in a vegetable storage building was measured. Mean daily values were recorded as shown below:
data
A. Make a stem-and-leaf display with at least five stems for these data. Show the leaves sorted in order of increasing magnitude on each stem.
B. Make a frequency table for the data, with a maximum bound of 100.5% relative humidity (since no relative humidity can be more than 100%)
C. Draw a frequency histogram for these data.
D. Draw a relative cumulative frequency diagram.
E. Find the median, lower quartile and upper quartile.
F. Find the arithmetic mean of these data.
G. Find the mode of these data from the grouped frequency distribution.

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Question 1202010: calculate the average age of migrants for both the categories of gender and write your interpretation.
Age group
Male
Female
0-4
98,34,738 male
91,27,975 female
5-9
1,09,59,506male
99,58,059 female
10-14
1,24,25,108 male
1,14,51,227 female
15-19
1,26,83,733 male
1,65,18,666 female
20-24
1,31,97,283 male
3,36,58,466 female
25-29
1,30,45,214male
3,75,22,017 female
30-34
1,21,34,009 male
3,42,86,096 female
35-39
1,20,60,030 male
3,30,54,887 female
40-44
1,09,00,143 male
2,72,61,236 female
45-49
97,04,026 male
2,34,47,716 female
50-54
79,40,152 male
1,78,42,986 female
55-59
61,61,754 male
1,51,92,910 female
60-64
54,01,736 male
1,43,47,372 female
65-69
36,87,082 male
1,01,41,196 female
70-74
26,62,421 male
70,33,728 female
75-79
13,41,572 male
34,93,001 female
80-85
14,61,296 male
42,53,695 female

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Question 1202011: Bad gums may mean a bad mood. Researchers discovered that 85% of people who have suffered a bad mood had periodontal disease, an inflammation of the gums. Only 29% of healthy people have this disease. Suppose that in a certain community bad moods are quite rare, occurring with only 10% probability. If someone has periodontal disease, what is the probability that he or she will have a bad mood?
Note: Draw the tree diagram for the above problem

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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, 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