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

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Question 196722: you are flipping two standard coins. one coin is red and the other is blue. what is the probability of getting tails on the red coin and tails on the blue coin?
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Question 196741: if you roll a die 60 times what is the probability you would roll a 1 or 6?

fraction

percent

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Question 196740: if you roll a die 60 times what is the probability you would roll a 1?
fraction
percent

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Question 196744: Two-hundred fifty people were asked whether they have seen various types of movies at a movie theater in the last month. The table gives the results of the survey. What is the experimental probability that a person has seen a comedy in the last month?
typeof movie comedy adventure animation
no who have seen type of movie 65 82 51

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Question 196806: Can you have a negative correlation coefficient for a positive variable in an index.
That is:Can a data set produce a negative correlation with variable x in a index (x * y * x)?

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Question 196717: how do you find the variance and standard of the following data? 12,8,13,9,13,11,12,11,9
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Question 196859: There are three people on a committee. There are six men and seven women available to serve on the committee. How many different combinations of men and women can be formed?
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Question 196975: 13, 10, 11, 8, 14, 13, 13, 14, 30
Within how many standard deviations of the mean do all of the above data values fall?
I think its 4 but I'm not sure.
Can someone explain to me how to do this?
Thank you!

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Question 196975: 13, 10, 11, 8, 14, 13, 13, 14, 30
Within how many standard deviations of the mean do all of the above data values fall?
I think its 4 but I'm not sure.
Can someone explain to me how to do this?
Thank you!

Click here to see answer by solver91311(24713) About Me 

Question 196979: A set of values has a mean of 250 and a standard deviation of 50. What value has a z-score of -2.4?
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Question 196977: If w is jointly proportional to u and v, and w=24 when u=0.8 and v=5, for what value of u will w=18 when v=2?
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Question 196976: The volume of a cone varies jointly as the height and the square of the radius of the base. A cone height 8 cm and a base of diameter 9 cm has volume 54π. Find the constant of variation and use it to develop the general formula for the volume of a cone.
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Question 196976: The volume of a cone varies jointly as the height and the square of the radius of the base. A cone height 8 cm and a base of diameter 9 cm has volume 54π. Find the constant of variation and use it to develop the general formula for the volume of a cone.
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Question 196995: 2. Using the r calculated in problem 1b(-0.99) test the significance of the correlation coefficient using  = 0.01 and the claim  > 0. Use the 7-steps hypothesis test shown at the end of this project. (References: example 7 page 505; end of section exercises 23 - 28 pages 510 - 511) (5 points)
Answer:
1. H0 :  = 0
Ha :  > 0
2.  =
3. Find t
4. t0 =
5. Rejection region:
6. Decision:
7. Interpretation:

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Question 196915: Hi.
I have my final in Finite math on Thursday and my teacher gave us a
Study give were he includes some probability problems. The bad news is that we didn’t cover probability during the semester. He told us that the problems were going to be extra credit since we didn’t cover this section. Please I need help. I really need those extra credit points, and I am lost.
Here are some of the problems:
1. A die is rolled 5 times. Find the probability that:
a) exactly 2 threes are thrown
b) No more than 2 fives are thrown

c) Between 1 and 4 are thrown
2. A Box Contains 5 White (W) and 4 Black (B) marbles. 3 marbles are drawn without replacement. Find the following:
a) P (2 W / 1st B)
b) P (At least 1W / 1st B)
d) P (W / 1St and 2Nd B), but this time, assume replacement.
2. Assume 8 distinctly title books: 2 green, 3 brown, 1 red, 1 blue, and 1 yellow.
a) Looking only at titles, how many ways can these 8 books be arranged on a shelf?
b) Looking only at titles, how many ways can 5 of 8 books be arranged on a shelf?
c) Looking only at color, how many ways can these 8 books be arrange on a shelf?
d) Looking only at titles, how many ways can we choose 5 books to read?
e) How many ways can we choose 2 brown books to read?
f) Looking only at color, what is the probability that we choose 2 green books to read?
These are only some of the questions but everything else just revolved around the same topic.
Thank you,
Fred

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Question 197124: 1. A data set has a z-score of 3 for the value 32 and a mean of 20. Find the standard deviation.
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Question 197123: 1. At a store, you buy 8 plums, 4 bananas, 6 apples, and 12 carrots.
Find the probabilty that one food item chosen at random is a piece of fruit.

2. Write two data sets with a range equal to 35 but with different standard deviations. You do not need to calculate the standard deviations.

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Question 197125: For each sample, find the sample proportion. Write it as a percent. Round your answer to the nearest tenth.

16. 34 out of 768 pairs of shoes at the shoe store were defective. About [?] %

17. 68 out of 84 players trying out for the football team passed the physical fitness test. About [?]%

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Question 197126: Find the margin of error for each sample. Round each margin of error to the nearest whole percent. Then find an interval that is likely to contain the true population proportion.

1. 18% of 350 students
2. 41% of 2,000 viewers
3. 6% of 525 artists

4. 97% of 4,000 readers

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Question 197132: A class of 200 students takes an exam. The students' scores are normally distributed with a mean of 72% and a standard deviation of 10. Find the number of students with scores in each interval.

26. between 72% and 82%
about[?] students

27. more than 92%
about[?] students

28. less than 72%
about [?] students

29. between 62% and 92%
about [?] students

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Question 197134: A bicycle-rental store has ten bicycles available for rent. On an average day, 60% of the bicycles are rented out. Answer the following questions. Round your answers to the nearest whole percent.

24. Find the probability that on one day, only four of the ten bicycles are rented out.
25. Find the probability that on one day, all ten of the bicycles are rented out

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Question 197178: a bag contains 6 red apples and 8 green. what is the probability of picking a red and a green apple without replacing?
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Question 197140: plese graph the hyperbola.
(x^2)/(25)-(y^2)/(144)=1

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Question 197210: there are 6 people on a bus. There are 2 choices for the meal being served. what is the probability that all 6 people will choose the same meal assuming choices are made independently?

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Question 197259: Biting an unpopped kernel of corn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 86.

(a) Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.
(b) Check the normality assumption.
(c) Try the Very Quick Rule. Does it work well here? Why, or why not?
(d) Why might this sample not be typical?

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Question 197284: I missed this questions even after checking my notes. Can someone help me please. This is what I have done: All batteries is population, 150 batteries tested is the parameter, is the 250 avg life hours the statistic or the variable?

A company has developed a new battery, but the average lifetime is unknown. In order to estimate the average, a sample of 150 batteries is tested and the average lifetime of this sample is found to be 250 hours. The 250 hours is the value of a:
A) parameter B) statistic C) population D) variable

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Question 197406: The radio station KICK is experimenting with a new format: reruns of the 1950's show Queen for a Day (in this show, contestants would tell sob stories, and the one elected the saddest by the audience applause-meter would get lots of prizes). KICK hires a polling organization to find out what listeners think of the station's makeover. The company, Poll Tracks, builds a telephone survey list by selecting pages at random from the telephone book, and then interviewing every person on each of the selected pages. This is an example of which of the following sampling techniques?

A. Cluster
B. Stratified
C. Systematic
D. Convenience
E. Simple random sample


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Question 197458: If a card is randomly selected from a standard deck of 52 cards, what is the probabailty of picking a black king or a club?
1) 1 over 52
2) 13 over 2652
3) 14 over 52
4) 15 over 52

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Question 197539: a) Using the letters in the word "OCTAGON," how many distinct arrangements using all 7 letters are possible?
b) Using the letters in the word "TRAPEZOID," how many distinct combinations using 7 letters at a time are possible?
c) Using the letters in the word "SQUARE," what is the probability that a 6-letter arrangement the first 2 letters are vowels?
d) Using the letters in the word "RHOMBUS," what is probability that in a 7-letter arrangement the first 3 letters are vowels?

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Question 197736: 3. A standard placement test has a mean of 115 and a standard deviation of mean = 10. Determine the minimum sample size if we want to be 90% certain that we are within 2 points of the true mean.
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Question 197735: 1. Passwords are made using 4 letters and 2 digits. How many passwords can be made if repetition of letters and digits is allowed?
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Question 197735: 1. Passwords are made using 4 letters and 2 digits. How many passwords can be made if repetition of letters and digits is allowed?
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Question 197759: After reading over the information and using the Internet information I still can't understand how to arrive at this answer. If you would please, please help me, I will be truly grateful to you.
A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate "a" value and interpret it. Thanks again.

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Question 197672:
The data given below are the ages and systolic blood pressure (measured in millimeters of mercury) of 9 randomly selected adults.
Subject # 1 2 3 4 5 6 7 8 9
Age, x 41 44 48 51 54 56 60 64 68
Pressure, y 111 115 118 126 137 140 143 145 147
Part 1 (): Find the mean age of the 9 randomly selected adults. Show the formula that you will use and then calculate the mean age.
Answer: Formula:
Mean:
Part 2 (
): Interpret the type of correlation by completing the table and calculating the correlation coefficient r rounded to the nearest three decimal places. Interim rounding should be four decimal places.

x y xy x2 y2
41 111
44 115
48 118
51 126
54 137
56 140
60 143
64 145
68 147

Use the last row of the table to show the column totals.
n = 9



Interpret the type of correlation: The correlation is high positive correlations. This means as a person ages, systolic blood pressure will increase.
Part 3 (30 points): Using the r calculated, test the significance of the correlation coefficient using  = 0.01 and the claim  = 0. Design the test using the 7-steps hypothesis test.
Answer:
1. H0 :  = 0
Ha : 
2. significance = 0.01
3. Find the test statistic t.
4. Find the critical t0
5. Define the rejection region.
6. State the statistical decision.
7. Application

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Question 197686: A number between 1000 and 9999, inclusive, is chosen at random. What is the probability that it contains (a) no 9 (b) at least one 9?
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Question 197808: In 2001 the stock market took some big swings up and down. One thousand investors were asked how often they tracked their investments. The table shows the responses. What is the probability that an investor tracks his portfolio daily?
How often tracked? Response
Daily 278
Weekly 235
Monthly 292
Few times a year 135
Do not track 60

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Question 197815: In order for applicants to work for the state department, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that applicants have studied a particular language and the grades they received on the proficiency exam.
Applicant #1 2 3 4 5 6 7 8 9
Years, x 4 5 5 6 4 7 3 8 4
Grades, y 62 69 76 83 74 91 59 94 73
Part 1 (10 points0: Find the mean years for study for the 9 randomly selected applicants. Show the formula that you will use and then calculate the mean age.
Answer: Formula:
Mean:
Using the r calculated, test the significance of the correlation coefficient using a = 0.01 and the claim k = 0. Design the test using the 7-steps hypothesis test.
Answer:
1. H0 : k = 0
Ha : k
2. a = 0.01
3. Find the test statistic t.
4. Find the critical t0
5. Define the rejection region.
6. State the statistical decision.
7. Application interpretation.

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Question 197909: How many subcommittees each consisting of 2 Republicans and 1 Democrat, can be formed from a committee of 3 Republicans and 3 Democrats?
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Question 197954: 0 pets..1 pet..2 pet..3+pets
male respondents: 5....10......5.....2
female respondents: 4....13......6.....2
{^ thats supposed to be like a chart..
here are the questions..
1. P(male | 2 pets)
2. P(2 pets | male)
3. P(0 pets | female)
4. P(0 or 1 pet | male)

thanks for helpin me:)


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Question 197951: The heights of a certain species of plant are normally distributed, with mean 22cm and standard deviation 3cm. What is the probability that a plant chosen at random will be between 19.75 and 24.25 cm tall?
I have no Idea on this.. Please help. thanks.

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Question 197950: Use the following set of values for this
0.3 0.6 0.9 1.3 0.4 0.6 1.2 1.4 1.1 0.2 0.2

8. Find the mean, median, and mode(s) of the data set. Round answers to the nearest hundredth, if necessary.
0.75; 0.6; 0.2, 0.6
0.6; 0.6; 0.2, 0.75
0.2; 0.75; 0.6, 0.2
0.8; 0.9; 1.1, 0.2

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Question 197961: If you asked three strangers about their birthdays, what is the probabilty..
a. All were born on Wednesday
b. All were born on a different day of the week
c. None were born on Saturday
Canm I get an explaination of how you got to the answer?

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Question 197961: If you asked three strangers about their birthdays, what is the probabilty..
a. All were born on Wednesday
b. All were born on a different day of the week
c. None were born on Saturday
Canm I get an explaination of how you got to the answer?

Click here to see answer by solver91311(24713) About Me 

Question 197960: Use the following set of values for questions..
0.3 0.6 0.9 1.3 0.4 0.6 1.2 1.4 1.1 0.2 0.2

8. Find the mean, median, and mode(s) of the data set. Round answers to the nearest hundredth, if necessary.


10. Find the range.
11. Find the interquartile range.
12. Find the standard deviation. Round to the nearest hundredth.
13. Find the 25th and 75th percentiles.



thank you so much for the help:)

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Question 197977: For the daily lottery game in Illinois, participations select three numbers between 0 and 9. A number cannot be selected more than once. So a winning ticket could be, say 307, but not 337. Purchasing one ticket allows you to select one set of numbers. The winning numbers are announced on tv each night.
a. How many different outcomes (Three different numbers) are possible?
b. If you purchased a ticket for the game tonight, what is the likelihood you will win?
c. Suppose you purchase three tickets for tonight’s drawing and select a different number for each ticket. What is the probability that you will not win with any of the tickets

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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, 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