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

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Question 805774: the senate in a certain state is comprised of 60 republicans 36 democrats and 4 independents. how many committees can be formed if each committee must have 3 republicans and 2 democrats?
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Question 805679: A coin is tossed 200 times and it lands on heads 115 times. at the 5% significance level is there sufficient evidence to claim that the coin is not equally likely to land heads or tails?
find null hypothesis and alternative hypothesis
I chose Ho=0.50 and Ha not equal to 0.50 . is this correct?

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Question 805834: The probability that a light bulb is faulty is 0.05. In a pack of 10 light bulbs, what is the probability that there will be at least one faulty light bulb?

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Question 805830: Two cards are selected at random without replacement from standard 52 card deck
A) find probability that atleast one is red
B) find probability that neither is red

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Question 805810: A widely held opinion is that approximately 45% of college students wished they could dance. Assuming the truth of that opinion let equal the number of students in a random sample of size n=12 who wish they could dance. Find the probability that
(a) x is at most 5,
(b) x is at least 6,
(c) x is equal to 7.
(d) Give the mean, variance, and standard deviation of x

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Question 805806: For a normal random variable, with  μ = 24, and  σ = 8, find the following probabilities.
(a) Pr(X  ≤  30)
(b) Pr(X  >  3.60)

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Question 805857: Assume that the mean amount of coffee dispensed is 8 ounces and the standard deviation is 1 ounce. What percentage of the cups should have at least 8.5 ounces of coffee? What percentage of the cups should have less than 7 ounces?
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Question 805805: In her first year of university, Mary recieved the following grades:
10, 7, 11, 7, 11, 7
Compute the population mean and variance for Mary's grades.
I figured out the population mean to be 8.8 but i am not sure about the variance.

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Question 732862: A sample of 40 country CD recordings of Willie Nelson has been examined. The average playing time of these recordings is 51.3 minutes, and the standard deviation is s = 5.8 minutes.
Using an appropriate t-multiplier, construct a 95% confidence interval for the mean playing time of all Willie Nelson recordings.
Place your LOWER limit, in minutes, rounded to 2 decimal places, in the first blank. For example, 56.78 would be a legitimate entry. .
Place your UPPER limit, in minutes, rounded to 2 decimal places, in the second blank. For example, 67.89 would be a legitimate entry.

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Question 806132: please help me to solve this question:the length of a rectangle is twice its breath. if its length is decreased by 5cm and breadth is increased by 5cm, the area of rectangle is increased by 75 square cm. therefore, what is the length of rectangle?
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Question 806226: A drug is reported to benefit 40% of the patients who take it. If 6 patients take the drug, what is the probability that 4 or more patients will benefit?
A.0.862
B.0.667
C.0.179
D.0.138

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Question 806198: The chance that a police chief believes that the death penalty will reduce homicides is 1 in 4. If a random sample of 8 chiefs is selected, what is the probability that 3 of them will believe the death penalty will reduce homicides? What is the probability that less than 3 of the selected chiefs will believe this?
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Question 806240: (a) From a stack of 3 dice, one is taken and rolled twice.
If, unknown to the gambler, one of the dice is weighted and has a 1/9 chance of rolling a 6, what is the probability that the gambler rolls two 6's?
(b) If the gambler has rolled two sixes, what is the probability that he has rolled the weighted die?

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Question 806278: In a class of 100 students, 40 are left-handed. Using this statement, determine the approximate number of students that are left-handed if we randomly picked 20 students from the same class.
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Question 806239: Many students entering unversity take a math course, 1J03.
In this course, 9% of the students fail, and leave the university.
29% of the students pass, but get a low mark, and move on to 1E03.
62% of the students pass, and get a high mark, and move on to 1KR3.
In 1E03, 14% fail, and leave the university. In 1KR3, 21% fail, and depart.
If a student tells his parents he failed mathematics and had to leave the university, what is the probability that he failed out of 1E03?

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Question 806322: If you roll 3, on a six sided dice what question would you ask?
a. What is the probability the sum will be 10?
b. What is most likely sum to come out?
c. What is the probability the sum will be 12?


thank you~

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Question 806336: If a player rolls doubles when she uses two dice, she wins $5. If the person rolls a 3 or 12, she wins $15. The cost to play the game is $3. Find the expectation of the game.
2(5)+3+12(15)*3=

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Question 806336: If a player rolls doubles when she uses two dice, she wins $5. If the person rolls a 3 or 12, she wins $15. The cost to play the game is $3. Find the expectation of the game.
2(5)+3+12(15)*3=

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Question 806361: The First National Bank of Wilson has 700 checking account customers. A recent sample of 60 of these customers showed 26 to have a Visa card with the bank.

Construct the 98 percent confidence interval for the proportion of checking account customers who have a Visa card with the bank. (Round your answers to 3 decimal places.)

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Question 806397: An exam has only three true and false questions, the probability that you know the first question is 85%, the probability that you know the second question is 29% and the probability that you know the last question is 35%.
What is the probability that you get all three incorrect?

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Question 806382: Find the mean, variance, and standard deviation for the number of heads when 15 coins are tossed.
15(2)=30

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Question 806408: The mean weight for a group of students is 130 pounds, with a standard deviation of 8 pounds. What is the probability of selecting a single student who weighs 125 pounds or more?
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Question 806481: a hand of 7 cards are dealt from a well shuffled deck of 52 cards. find the probability that the hand contains at least 2 black cards. Please show all work.
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Question 806520: A Card is selected from 52 well shuffled playing cards, what is the probability that:
i. The Card is Red
ii. The Card is King
iii. The Card is Ace of Heart
iv. The Card is Club Card
v. The Card is King or Queen

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Question 806542:

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Question 806542:

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Question 806676: Edinburgh City Council is conducting a survey of people who live in the Morningside area of the city. The Council is seeking to find out the amount of money that each household spends on electricity bills every month, and offering money-saving tips to residents.
i. An interviewer will be sent out to fourteen private houses on weekday evenings over the course of
one week. The City Council has previous experience in this area and believes that there is a 75% chance of finding someone at home in the evening.
a. Whatistheprobabilitythatthereissomeoneathomein11houses?
b. Whatistheprobabilitythattherewillbesomeoneathomein5houses?
c. Whatistheprobabilitythattherewillbesomeoneathomein11ormorehouses?

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Question 806763: Five slips of paper marked with the numbers 1, 2, 3, 4, and 5 are placed in a box and mixed well. What are the odds of drawing a number greater than 2 from the box?

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Question 806755: If you are dealt one card from a standard 52-card deck, find the probability of being dealt a card greater than 4 and less than 10.

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Question 806800: What is a formula for the sample mean?
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Question 806837: If Virginia makes 5 free throws and misses 2 free throws during a game, in how many ways can you arrange the sequence of hits and misses?
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Question 806821: 1. The Marketing Manager at Smart Post Delivery Company is analyzing the performance of a new product, The Mega Box. This is a very sturdy padded box inside which any item can be placed and shipped without breaking. The manager has collected data from past delivery reports and found that 1% of the items placed in the Mega Box broke during shipping.
(i) If a random sample of 12 items placed in the Mega Box was selected, what is the probability that at most two items would break during shipping?
(ii) What is the mean number of items that would break during shipping?
2. Smart Snacks recently introduced a new snack product to its customers, the Chocolate Crisp Sandwich. The number of sandwiches sold over the last 5 days is described by the following probability distribution.
Number of sandwiches, x 15 20 25 30 35
Probability, P(x) 0.25 0.40 0.15 0.12 *
.
(i) What is the probability that 35 sandwiches were sold.
(ii) What is the probability that less than 25 sandwiches were sold.
(iii) Calculate the expected number of sandwiches to be sold.
(iv) Calculate the standard deviation for the number of sandwiches sold.

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Question 806849: A linear model for a set of data was y= -20.6 + 9.72x and produced the following residual plot: [Xscl=1, Yscl=5]
a) Predict the value of y when x= 7.5.
b) Determine the residual if x= 5.

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Question 806879: A box contains 4 bills- $1, $5, $10, $20. You reach into the box and pull out 2 bills. Construct a probability distribution for the amount you pull out of the box
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Question 806690: A gumball machine contains 25 gumballs - 9 red, 6 blue, 7 green and 3 yellow. You buy five gumballs from the machine.
X = number of green gumballs you get
Can you help me find the probability?

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Question 807013: Let Y be the total number of ones and twos when 5 dice are rolled.
A. Find the probability distribution for Y.
B. Find the mean and variance of Y.

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Question 807008: a die is modified so that the probabilities of the six possible results are in proportion to the possible results; i.e. the probability of rolling a two is twice the probability of rolling a one, the probability of rolling a three is three times the probability of rolling a one, the probability of rolling a four is four times the probability of rolling a one, the probability of rolling a five is five times the probability of rolling a one, and the probability or rolling a six is six times the probability of rolling a one.
a. what is the probability of rolling a 6?
b. what is the expected value of the result of a roll?
c. What is the variance of the result of a roll?

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Question 807015: A box contains 6 blocks, identical except for color. The colors are two red, two white, and two blue. Two blocks of unknown color are randomly selected and placed in a bag. A block is then selected from the bag.
A. What is the probability that the block is red?
B. After noticing that the block is red, it is replaced in the bag. What is the probability that both blocks in the bag are red?
C. A block is again removed from the bag and observed to be red, then replaced in the bag. What is the probability that both blocks in the bag are red?

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Question 807019: A teacher says that the top 10% of the class received an A on the last test. The scores were normally distributed with mean 63 and standard deviation 10. Find the minimum score required to get an A.
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Question 807050: A study of a company's practice regarding the payment of invoices revealed that on the average an invoice was paid 20 days after it was received. The standard deviation equalled five days. A sample of 25 invoices is selected. Assuming that the distribution is normal, what percent of the sampled invoices were paid within 15 days of receipt?
so here is what I thought it was written as:
(15-20)/(5/sqrt of 25)= 5 but how do you look that up on the z value
or is it 0.5 you look up or 0.05?

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Question 807332: a fair coin is tossed four times, let x be the product of the number of heads times the number of tails...
Find the most likely value of X

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Question 807333: If 70% of all women are employed outside the home, find the probability that in a sample of 50 women at least 7 are not employed outside the home
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Question 807341: Probability distribution of discrete random variable x is given as:
x -2 -1 1 2
p(X=x) .3 .3 .1 .3
Find P(x is an even number)

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Question 807346: Probability distribution of discrete random variable X is given as
x -2 -1 1 2
p(X=x) .3 .3 .3
Find E(X)

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Question 807361: 10 percent of M&M candies are blue. If a sample of 20 M&Ms are randomly selected find:
P(it will be more than 15 blue candies)

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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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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