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

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Question 628151: 1)On average, 20 percent of the emergency room patients at Bedford hospital lack health insurance. In a random sample of 8 patients what is the probability that 2 will be uninsured?

2)On average, 20 percent of the emergency room patients at Bedford hospital lack health insurance. In a random sample of 8 patients what is the probability that 2 will be insured?

3On average, 20 percent of the emergency room patients at Bedford hospital lack health insurance. In a random sample of 8 patients what is the probability that no more than 1 patient is uninsured?

4) Consumers report on average 1.7 problems per vehicle with a popular make and model of a 2006 car. we randoly select a vehicle of the same make, model and year. what is the probability that it will have more than 3 problems

5. At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.5 per day on a typical wednesday. What is the probability that less than 3 cancellations will occur on 2 wednesdays?

6 Thje pediatrics unit at Bedford hospital has 24 beds. The number of patients needing a bed at any point in time is normally distributed with a mean of 19.2 and standard deviation of 2.5. What is the probability that the number of patients needing a bed will exceed the pediatric unit bed capacity

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Question 628166: The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. Find the equation of the regression line for the given data. Predict the final exam score when a student studied for 4 hours. Predict the final exam score when a student studied for 6 hours.
Hours,x 3,5,2,8,2,4,4,5,6,3
scores,y 65,80,60,88,66,78,85,90,71

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Question 628182: A set of 50 data values has a mean of 15 and a variance of 36. Find the standard score of a data value = 18.

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Question 628167: A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representatives travel per month and the amount of sales (in thousands of dollars) per month. Find the equation of the regression line for the given data. Predict the value of sales when the sales representative travel 8 miles. Predict the value of sales when tthe sales representative traveled 11 miles.
Miles Traveled, x 2,3,10,7,8,15,3,1,11
Sales, y 31,33,78,62,65,61,48,55,120

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Question 628169: Find the correlation coefficient between X and Y. Is there a weak or strong, positive or negative linear correlation between X and Y?
X -5,-3,4,1,-1,-2,0,2,3,-4
Y -10,8,9,1,-2,-6,-1,3,6,-8

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Question 628192: use the standard normal distribution to find P (-2.25
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Question 628196: A normally distributed population of scores has μ = 100 and σ = 5. Based on this information, solve the following questions:
a. If a sample consisting of n=36 scores is selected from this population, what is the probability that the sample will have M=98 or greater?

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Question 628335: per orange costs 0.45 paise I have 10 oranges with me. if I have 0.50. Paise with me then how many Orange can I purchase??
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Question 628339: Find the indicated probability.
If P(A) = 0.3, P(B) = 0.6, and P(A and B) = 0.1, find P( A or B) .

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Question 628342: If the critical values for a statistical test are 1.96 and
1.96, determine if you would reject or fail to reject the
null hypothesis in each of the following cases:
a. z  1.06
b. z  2.06
c. A z score beyond which 7% of the data fall in each
tail

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Question 628448: A two-tailed test is conducted at the 5% significance level. What is the P-value required to reject the null hypothesis?
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Question 628446: The Thomas Supply Company, Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of The Thomas Supply Company, Inc. invoices.
   13
13
13
20
26
30
32
33
34
34
35
35
36
37
38
   41
41
41
45
46
47
47
49
52
54
55
56
62
67
82
(Round your answers to 2 decimal places.)
(a) Determine the first and third quartiles.
 
  Q1 =
  Q3 =
 
(b) Determine the second decile and the eighth decile.
 
  D2 =
  D8 =
 
(c) Determine the 67th percentile.
 
 

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Question 628465: If boys and girls are equally likely and groups of 400 births are randomly selected. Find the standard deviation of the numbers of girls in such groups of 400.
Click here to see answer by jim_thompson5910(35256) About Me 
Question 628465: If boys and girls are equally likely and groups of 400 births are randomly selected. Find the standard deviation of the numbers of girls in such groups of 400.
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Question 628493: Essay; show all work. the property restoration company PuroServ is considering switching to new dehumidifiers. Their market research, considering the cost of the new machines and their efficiency, tells them that the switch would give them a 75% chance of making a $20,000 profit, a 20% chance of breaking even, and a 5% chance of losing $5,000. How much money does PuroServ expect to make with their new purchase?
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Question 628486: Determine the odds against the spinner landing on yellow:
In a pie chart there are 5 yellow slices, 2 red slices, 1 blue slice

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Question 628513: The ages in the data set can be shown to be approximately normally distributed with a mean of 50 years and a standard deviation of 6 years. A person is randomly selected and their age observed. Find the probability that their age will fall between 55 and 60.
Now I got some of it: Z = (55-50/6) = (5/6) = 0.8333 = 0.2967 My question is where does 0.2967 come from?
How is that calculated from Z = (55-50/6) = (5/6) = 0.8333?
Please tell me how to enter it in my calculator. Thank you in advance.

Click here to see answer by John10(297) About Me 

Question 628526: 3. A group consists of 4 men and 3 women.
a) In how many ways can 3 people be selected from the group of 7?
b) In how many ways can 3 people be selected if they are all men?
c) What is the probability that the selected group will be all men?

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Question 628467: Five cards are down in succession from a deck of 52 playing cards and after each card is drawn it is not replaced in the deck. What is the probability that all five cards are of the same suit?

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Question 628483: The attendance for a week at a local theatre is normally distributed, with a mean of 4000 and a standard deviation of 500. Draw the normal curve to represent the normally distributed attendance for the week. What percentage of the attendance would be less than 3500? What percentage of the attendance would be greater than 5000? What percentage of the attendance figures would be between 3700 and 4300 each week?
Am I supposed to try and solve this from the graph or can it be calculated?
Thank you for your help.

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Question 628489: A person spins the pointer and is awarded the amount indicated by the pointer.
In a pie chart there is half of the pie at $2, the other half is split in two one being $10 and the other being $15,
It costs $8 to play the game. Determine:
The expectation of a person who plays the game.
The fair price to play the game
Show work for full credit

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Question 628485: Determine the probability that the spinner lands on yellow:
In a pie chart there are 2 yellow slices, 2 green slices, 4 red slices,
* 0.5
* 0.25
* 0.33
* 1.5
* 0.67

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Question 628488: The odds against Lounging Larry winning the horse race are 5:12. Determine the probability that Lounging Larry wins the horse race.
5/12
12/5
17/5
5/17
12/17

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Question 628484: How many people would need to be surveyed on health care to estimate the mean of an entire population to within 2 units if the standard deviation was 12 and we wanted a 92% confidence level?
Thank you

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Question 628563: If a bad contains 2 red marbles, 3 white marbles and 3 blue marbles what is the probability that the first drawn marble is blue and the second one drawn is red?
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Question 628601: Essay; show all work. A simple dartboard has three areas, the main board has a radius of 8 inches, there is a circle with a radius of 6 inches, and the bullseye has a radius of 4 inches. What is the probability of a random dart landing inside the bullseye? Round to the nearest thousandth
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Question 628643: suppose that 3 cards are drawn from a well-shuffled deck of 52 cards. what is the probability that all 3 are red?
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Question 628652: Problem 6)
A government survey conducted to estimate the mean price of houses in a metropolitan area is designed to have a margin of error of $10,000. Pilot studies suggest that the population standard deviation is $70,000. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy.

Problem 7)
A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 490 college students showed that 33% of them had, or intended to, cheat on examinations. Find the margin of error for the 95% confidence interval.

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Question 628673: A man has 7 nickels and 5 quarters in his pocket. He removes two coins without replacement. Find the probability that both are quarters.
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Question 628644: suppose that 3 cards are drawn from a well-shuffled deck of 52 cards. what is the probability that all 3 are club?
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Question 628815: you are dealt 1 card from a standard deck of 52 cards. What is the probability that it is a card greater than 2 and less than 6?
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Question 628822: 20% of what number is twice as large as 2 1/2?

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Question 628826: Dice question. Not a math wiz so please excuse my lack of correct terms:
Probability of rolling 12 using a pair of dice is 1/36
Probability of rolling 12 three times is a row is 1/36 x 1/36 x 1/36 = 1/1296 or 0.000771605
I was complaining about a the online backgammon site's dice generator rolling double sixes three times in a row all the time ex: 3 times I have rolled double six/double six/double six within a 25 total rolls. To my mind the probability of that event is very low; however, the person I was discussing it with said that the 1/1296 is the only number that applies.
Question is whether the odds of rolling 3 sets of double 6's after just completing the feat as the same as 1/1296 or if the previous event needs to be included. Follow up would be if after rolling 3 sets of double sixes 3 times in a row, two successive times in a row, what are the odds of a third time?
Thanks for helping with our dinner discussion.
to clarify. I mean rolling 6 6 / 6 6 / 6 6 over three consecutive rolls multiple times within a small amount of rolls.

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Question 628947: Brian a landscape architect submitted a bid on each of three home landscaping projects. He estimates that the probabilities of winning the bid on Project A, Project B, and Project C are .7, .6, .5 respectively. Also the probability of winning a bid on one of the three projects is independent of winning or losing the bids on the other two projects. Find the probability that Brian will:
Win all 3 bids
Win Exactly two of the bids
Win exactly one bid

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Question 628917: In how many different ways can 5 people arrange themselves in the 5 seats of a boat if only 2 of the people can drive the boat?
Please include explanations- not just the equation!

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Question 628950: Essay; show all work. A community 5K run will award $50 to the winner. 70 people enter the race, and they each pay an entry fee of $20. Assuming they are all equally likely to win, what is a fair price for the competition? Round to the nearest cent.
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Question 628954: Given the following set designations:
U = {x | x € N and x < 15} and N is the set of natural numbers {1, 2, 3 …}
A = {x | x is an odd natural number and x < 15}
B = {x | x is an even natural number and x < 15}
C = {x | x € N and 1 < x < 9}

Identify the members of each set and Find the set indicated by (A ∩ B)’
i.e., the complement set of (A ∩ B)

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Question 628951: You are playing a game in which you flip a coin three times. It costs $3 to play the game, which must be subtracted from your winnings. Calculate the expected value for the game. If all coins show the same side you win $7. If not, you lose your $3.
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Question 628961: State whether you believe the two variables below are correlated. If you believe that they are correlated, state whether you think the correlation is strong or weak. Explain your reasoning.
Test grades and when you signed up for the class

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Question 629014: An auditor of Health Maintenance Services of Georgia reports 40 percent of policyholders 55 years or older submit a claim during the year. Fifteen policyholders are randomly selected for company records.
A. How many of the policy holders would you expect to have filed a claim within the last year?
B. What is the probability that 10 of the selected policyholders submitted a claim last year?
C. What is the probability that 10 or more of the selected policyholders submitted a claim last year?
D. What is the probability that more than 10 of the selected policyholders submitted a claim last year?

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Question 629020: slips numbered 1 to 9
Selecting 2 even numbers when 2 slips are chosen without replacement

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Question 629019: slips numbered 1 to 9
Selecting 2 even numbers when 2 slips are chosen without replacement

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Question 629160: The probability that a contractor will win a bid for contract A is 0.45; the probability that the contractor will win a bid for contract B is 0.25. The two bids are believed to be independent of each other. What is the probability that the contractor will win at least one of the two bids?
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Question 629117: Whats the probably that a randomly selected 4 digit number is even and begins with a ODD digit
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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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