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

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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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Question 197976: Assume the likelihood that any flight on Northwest Airline arrives within 15 minutes of the schedule time is .90. We selected four flights from yesterday top study.
a. What is the likelihood all four flights arrived within 15 minutes of the schedule time?
b. What is the likelihood that none of the selected flights arrived within 15 minutes of the schedule time?
c. What is the likelihood at least one of the selected flights did not arrived within 15 minutes of the schedule time?

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Question 197998: Three defective electric toothbrushes were accidently shipped along with 17 non-defective.
a. what is the probability that the first two selected will be defective.
b. what is the probability the first two sold will not be defected

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Question 198022: A coin is tossed and a 6-sided die is rolled. What is the probability that the coin shows head and the dies shows a 4?
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Question 197996: Tim Bleckie is the owner of of Beckie Investment and Real-estate company The company recently purchased four tracts of land in holy farms estate and six tracts in newburg woods The tracts are all equally desirable and sell for about the same amount.
a. What is the probability that the next two tracts will be sold in Newburg Woods?
b. What is the probability that of the next four sold at least one will be in Holly Farms?
c. Are these events independent or dependent?

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Question 198047: The numbers 0 through 9 are used in code groups of four to identify an item of clothing. Code 1083 might identify a blue blouse, size medium. The code group 2031 might identify a pair of pants, size 18, and so on. Repetitions of numbers are not permitted, i.e., the same number cannot be used more than once in a total sequence. As examples, 2256, 2562 or 5559 would not be permitted. How many different code groups can be designed?

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Question 198047: The numbers 0 through 9 are used in code groups of four to identify an item of clothing. Code 1083 might identify a blue blouse, size medium. The code group 2031 might identify a pair of pants, size 18, and so on. Repetitions of numbers are not permitted, i.e., the same number cannot be used more than once in a total sequence. As examples, 2256, 2562 or 5559 would not be permitted. How many different code groups can be designed?

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Question 198033: Tim Bleckie is the owner of of Beckie Investment and Real-estate company The company recently purchased four tracts of land in holy farms estate and six tracts in newburg woods The tracts are all equally desirable and sell for about the same amount.
a. What is the probability that the next two tracts will be sold in Newburg Woods?
b. What is the probability that of the next four sold at least one will be in Holly Farms?
c. Are these events independent or dependent?

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Question 198111: Hello I need some help with this:
Considering that a researcher can test at the

Thanks in advance!!
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Question 198262: i need help with 2 questions please please please!!!
Your local garbage pickup day is randomly assigned. What is the probability that pickup day is a weekday?
A football team is likely to score a touchdown at any time during a game. What is the probability it scores during the third quarter?
plz hurry and thankyou

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Question 198261: 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 198259: Please help me with these problems:
1) Liza wants to take three travel books with her when she goes on vacation. In how many ways she can do this if she has ten travel books to choose from?
2) A play has been written that requires a cast of three men. Seven men try out for the three roles. How many different asts are possible? (The roles are Mr. Atkins, Tom, and Officer Flannigan)
3) From a class of 25 students, three are to be chosen to serve on the Homecoming Committe. In how many ways can this be done?
4) In how many ways can u draw two queens from a standard deck of cards? (Order does not matter)
Thanks a lot. i'll wait.
-nica

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Question 198424: Sue has three pairs of pants: one blue, one yellow, and one red;and four blouses:one yellow, one white, one tan, and one green.
a.Draw a tree diagram and list the sample space showing all possible outfits that consist of one pair of pants and one blouse.
b.If Sue chooses an outfit consisting of one pair of pants and one blouse, find the probabilaity that
(1)only one article of clothing is yellow
(2)atleast one article of clothing is yellow
(3)both articles of clothing are yellow
(4)at least of one article of clothing is black

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Question 198419: I have no clue, so could someone please assist me with this problem. I'd really appreciate it.
In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During a test period, the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of yellow fire trucks made 135,035 runs and had 4 accidents. At α = .01, did the yellow fire trucks have a significantly lower accident rate? (a) State the hypotheses. (b) State the decision rule and sketch it. (c) Find the sample proportions and z test statistic. (d) Make a decision. (e) Find the p-value and interpret it. (f ) If statistically significant, do you think the difference is large enough to be important? If so, to whom, and why? (g) Is the normality assumption fulfilled? Explain.

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Question 198415: An urn contains five red marbles, four green marbles, and three blue marbles. If one marble is drawn at random, what is the probability that it is either a green marble or a blue marble?
1.5/12
2.3/12
3.7/12
4.4/12

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Question 198410: At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 520 ml. The filling process follows a normal distribution with a known process standard deviation of 4 ml.
(a) Which sampling distribution would you use if random samples of 10 bottles are to be weighed? Why?
(b) Set up hypotheses and a two-tailed decision rule for the correct mean using the 5 percent
level of significance.
(c) If a sample of 16 bottles shows a mean fill of 515 ml, does this contradict the hypothesis that the true mean is 520 ml?

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Question 198461: No specific answer to problem needed, just am doing a "Simple Regression Analysis Project". Can not come up with any ideas. We can not do height and shoe size. Sample size must be at least 30, need two quantitative variables, can have additional (if independent variable may be a better predictor of the dependent variable) Using histograms, box plots, dot plots and descriptive statistics to study the center, variation, distribution, outliers (if any) and trend (if applicable) and so on...
Any great ideas of what to sample would be GREATLY APPRECIATED !!!
Thank you,
Paula

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Question 198472: Can someone please help me? This question was on a quiz and I just can't figure it out. How is this problem worked? Does this make any sense?
Find the value of z such that 45% of the distribution lies between it and the mean.

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Question 198457: Please help! I haven't the foggiest idea how to do an example problem with this formula. I look at it and freeze. Can someone help me? (This is a homework assn.)
If there are “k” possible outcomes for a phenomenon and each is equally likely, then each individual outcome has a probability 1/k. The probability of any event A is:

P(A) = count of Outcomes in A / count of outcomes in S
= count of outcomes in / k

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Question 198408: Is this sample of 25 exam scores inconsistent with the hypothesis that the true variance is 64 (i.e. σ = 8)? Use the 5 percent level of significance in a two-sided test. Show all steps, including the hypotheses and critical values from Appendix E. Exams
80 79 69 71 74
73 77 75 65 52
81 84 84 79 70
78 62 77 68 77
88 70 75 85 84

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Question 198534: Probability and stats are not easy for me. I truly appreciate the help of you guys. Even with examples and Internet assistance I still don't get it. Please, please help me with this homework assignment? I can't say thank you enough.
Question --
Does lovastatin (a cholesterol-lowering drug) reduce the risk of heart attack? In a Texas study, researchers gave lovastatin to 2,325 people and an inactive substitute to 2,081 people (average age 58). After 5 years, 57 of the lovastatin group had suffered a heart attack, compared with 97 for the inactive pill.
(a) State the appropriate hypotheses.
(b) Obtain a test statistic and p-value. Interpret the results at α = .01.
c) Is normality assured?
(d) Is the difference large enough to be important?
(e) What else would medical researchers need to know before prescribing this drug widely?

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Question 198460: Here's another homework problem I am not sure how to do. The numbers don't seem to add up to one. Can someone please help and explain? Thanks for your help.

Find the mean and standard deviation of the following probability distribution:
x | 1 2 3
P(x) | 0.4 0.15 0.35

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Question 198568: Blockbuster is testing a new policy of waiving all late fees on DVD rentals using a sample of 10 randomly chosen customers. (a) At a-.10, does the data show that the man number of monthly rentals has increased? (b) Is the decision close? (c) Are you convinced?
Customer No Late Fee Late Fee
1 14 10
2 12 7
3 14 10
4 13 13
5 10 9
6 13 14
7 12 12
8 10 7
9 13 13
10 13 9

I can figure out the mean which is 12.4 of no late fee but cannot figure out the rest, can someone please help. Thanks

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Question 198596: Which sneakers are prefered?
female- running 12 cross training 28
Male- running 42 cross training 14
3. P(female | running)
4. P(female | cross training)
5. P(male | running)
6. P(male | cross training)
For questions 7 and 8, find the mean, median, and mode of each data set.
8.) 5 7 10 10 7 9 5 6 7 7 4


10.) 12 13 14 9 7 8 15 10 11 6

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Question 198561: A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours. Find:
a) The probability of exactly making four sales.
b) The probability of making no sales.
c) The probability of exactly making two sales.
d) The mean number of sales within the two-hour period.

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Question 198562: Backyard Retreats, Inc, sells an exclusive line of pools, hot tubs, and spas. It is located just off the Bee Line Expressway in Orlando, Florida. The owner reports 20% of the customers entering the store will make a purchase of at least $50. Suppose 15 customers enter the store before 10am on a particular Saturday
a) How many of these customers would you expect to make a purchase of at least $50?
b) What is the probability exactly five of these customers make a purchase of at least $50?
c) What is the probability at least five of these customers make a purchase of at least $50?
d) What is the probability at least one customers make a purchase of at least $50?

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Question 198560: The United States Postal Service reports 95% of first class mail within the same city is delivered within two days of the time of the mailing. Six letters are randomly sent to different locations
a) What is the probability all six arrive within two days?
b) What is the probability that exactly five arrive within two days?
c) Find the mean number of letters that will arrive within two days
d) Compute the variance and Standard Deviation of the number that will arrive within two days.

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Question 198601: Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Research question: At � = .01, is the degree of certainty independent of credits earned? Certainty
Credits Earned Very Uncertain Somewhat Certain Very Certain Row Total
0 -9 12 8 3 23
10-59 8 4 10 22
60 or more 1 7 11 19
Col Total 21 19 24 64

Applied Statistics in Business and Economics (2007) by David P. Doane and Lori E. Seward

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Question 198622: I need help with this problem. Stats is definitely not my thing.
This contingency table shows average yield (rows) and average duration (columns) for 38 bond funds.


Average Portfolio Duration


Yield

Short(D1)

Intermediate(D2)

Long(D3)

Row Total
Small(Y1)

8

2

0

10
Medium(Y2)

1

6

6

13
High(Y3)

2

4

9

15
Column Total

11

12

15

38
Required:
For a randomly chosen bond fund, find the probability of the following:
a.

The bond fund is of long duration


b.

The bond fund has high yield


c.

The bond fund has high yield given that it is of short duration


d.

The bond fund is of short duration given that it has high yield


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Question 198605: A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours. Find:
a) The probability of exactly making four sales.
b) The probability of making no sales.
c) The probability of exactly making two sales.
d) The mean number of sales within the two-hour period.

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Question 198659: A bag of skittles candies has the following assortment: 12 red, 5 blue, orange 15, 0 brown, 16 green, 7 yellow. Construct the probability for x.
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Question 198659: A bag of skittles candies has the following assortment: 12 red, 5 blue, orange 15, 0 brown, 16 green, 7 yellow. Construct the probability for x.
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Question 198807: two cards are drawn from a standard deck of cards. find the probability that a king or red card is drawn.
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Question 198809: Use the following set of values for exercises 8–13.
0.3 0.6 0.9 1.3 0.4 0.6 1.2 1.4 1.1 0.2 0.2

please Find the mean, median, and mode(s) of the data set. Round answers to the nearest hundredth, if necessary.
1. Find the range.
2. Find the interquartile range.
3. Find the standard deviation. Round to the nearest hundredth.
4. Find the 25th and 75th percentiles.

thanks for helping me out!

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Question 198815: A set of data with a mean of 58 and a standard deviation of 6.3 is normally distributed. Find the value that is 2 standard deviations below the mean. Round your answer to the nearest tenth.
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Question 198810: 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 198845: At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 520 ml. The filling process follows a normal distribution with a known process standard deviation of 4 ml. (a) Which sampling distribution would you use if random samples of 10 bottles are to be weighed? Why? (b) Set up hypotheses and a two-tailed decision rule for the correct mean using the 5 percent level of significance. (c) If a sample of 16 bottles shows a mean fill of 515 ml, does this contradict the hypothesis that the true mean is 520 ml?
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Question 198806: from a group of 6 men and 4 women, a committee of 3 is to be selected at random. find P(at least 2 women)
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Question 198806: from a group of 6 men and 4 women, a committee of 3 is to be selected at random. find P(at least 2 women)
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Question 198813: 1. Find the probability of x = 14 successes in n = 22 trials with the probability of success p = 0.6 on each trial. (2 points)
About [?] %

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.

2. Find the probability that on one day, only four of the ten bicycles are rented out.[%]?

3. Find the probability that on one day, all ten of the bicycles are rented out.[%]?


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Question 198782: The average number of days school is closed due to snow during the winter in a certain city in the eastern part of United States is 4.What is the probability that the school in this city will close for 2 or more days during winter
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Question 198922: Here's another homework assignment I have no clue as to how to go about figuring it out. Please, please help. Much appreciated. Thanks.
In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash1
Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920

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Question 198959: It is asserted that 80 percent of the cars approaching an individual toll booth in New Jersey are equipped with an EZ Pass transponder. Find the probability that in a sample of six cars:
a) all six will have the transponder
b) at least three will have the transponder
c) none will have a transponder.

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Question 199006: Two standard dice are rolled. What is the probability of the sum on the two dice being less than 10.
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Question 199035: Suppose that the probability of producing a defective light bulb is 0.0004. Ten light bulbs are selected at random. What is the probability that the lot of ten contains two defective light bulbs?
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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, 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