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

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Question 587983: find the mean, variance and standard deviation of the binomial distributions
when n= 129 p = 0.21

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Question 587944: A box contains 5 white balls, 3 black balls, and 2 red balls.
A-What is the probability of drawing a white ball?
B- How many white balls must be added to the box so that the probability of drawing a white ball is 3/4?
C-How many black balls must be added to the ORIGINAL assortment so that the probability of drawing a white ball is 1/4?
The answer for A is .5, and the answer for B is 10; however, what is the answer for C! I need to show my work...Please help me with this q... Thank you

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Question 587941: A supplier of components to an electronic industry makes a sophisticated product which sometimes fails immediately it is used. He controls his manufacturing process so that the proportion of faulty products is supposed to be only 5%. Out of 400 supplies in a batch, 26 prove to be faulty. Verify the manufacturer’s claim. Use 0.05 level of significance.
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Question 588081: LeRoy has 15 different ties. He chooses a tie at random everyday.
How many times could he expect to wear a given tie in 45 days?

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Question 588065: How do you get 1.645 when
If you use a 0.10 level of significance in a (two-tail) hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean is 500 if you use the Z test?
What is the formula and how would I get to 1.645?

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Question 588101: Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution: 3 cards are drawn from a deck. The number of aces is counted.
The answer to this is:
number of aces: 0,1,2,3,4
Probability: 0.7826, 0.2042, 0.0130, 0.0002
I don't understand how they arrived at this answer. Please explain.

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Question 588145: Find z such that 56% of the standard normal curve lies to the right of z. (Round your answer to two decimal places.)
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Question 588149: What is the probability that a 5 card poker hand has 2 queens, given that all 5 cards are red cards?
My impression is this is an intersection problem { P(X and Y) = P(X) + P(Y) - P(X)*P(Y) } ?

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Question 588272: In a drawing of six numbers using the same balls numbered 0 to 9, what are the odds that the same number will be drawn twice?

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Question 588323: (9) A survey regarding favorite colors was given to your class. Find the central angle for red.
Red – 18
Blue – 12
Green – 8
Purple - 22

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Question 588334: Consider two events A and B with P(A) = 8/10 and P(B) = 9/10.
Prove that P(A|B) greater than or equal 7/9.

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Question 588398: Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and waking—even if they are not exposed to the usual pattern of sunlight. To test this notion, eight paid volunteers were placed (individually) in a room in which there was no light from the outside and no clocks or other indications of time. They could turn the lights on and off as they wished. After a month in the room, each individual tended to develop a steady cycle. Their cycles at the end of the study were as follows: 25, 27, 25, 23, 24, 25, 26, and 25.
Using the .05 level of significance, what should we conclude about the theory that 24 hours is the natural cycle? (That is, does the average cycle length under these conditions differ significantly from 24 hours?) (a) Use the steps of hypothesis testing. (b) Sketch the distributions involved, (c) Explain your answer to someone who has never taken a course in statistics.
I need: M= S2= t= t needed= =/- and Decision. I need this today. Thank you

Click here to see answer by jim_thompson5910(35256) About Me 

Question 588418: In need of help!!!!
This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.

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Question 588418: In need of help!!!!
This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.

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Question 588414: there are 50 students in the school orchesra i the following sections:
25 string section
15 woodwind
5 percussion
5 brass
one student will be chosen at random to present the orchestra director with an award waht is the probablity that the student will be from the woodwind section?

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Question 588415: I'm confused about this problem.. I would really apprecate the help!!

A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. The probability that you have 1 cherry candy and 2 lemon candies is?

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Question 588432: Please Help!!!!
Find the indicated probability.

If P(B) = 0.5, P(A or B) = 0.3, and P(A and B) = 0.6.
P(A) =

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Question 588395: A 13-card hand is dealt from a standard deck of 52 cards. What is
the probability that
(a) it contains no spades if it contains exactly 5 hearts,
(b) it contains at least one spade if it contains exactly 5 hearts?

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Question 588483: use the confidence interval to find the margin of error and sample mean
0.096, 0.280

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Question 588430: three cards are drawn from a well shuffled deck. what is the probability that :
a) all are black ?
b) exactly one is a diamond ?
c) all are hearts ?

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Question 588623: 1. Curriculum planners decided to determine whether a curriculum change should be
instituted to increase the reading comprehension of sixth-graders in Metro Manila.
Then mean reading comprehension score under the old curriculum was 92 on a
standard reading comprehension test. After the new curriculum was used for one
quarter, the mean of a sample of 400 students was 95. Assuming that the standard
deviation for the entire population of sixth-graders in Metro Manila is the same
under the new curriculum as under the old (s = 10), test at significance level 0.01
whether there would be an improvement in reading comprehension in general if
the entire population of sixth-graders in Metro Manila were taught using the new
curriculum.

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Question 588759: What are the solutions: After several rounds of a card game, a deck of playing cards contains, 10 red-suited cards and 15 black-suited cards. Terry draws cards from this deck without replacement until she has either two red cards or two black cards. To the nearest tenth of a percent, what is the probability that Terry draws two red cards?
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Question 588838: A box contains 2 one-dollar bills, 1 five-dollar bill, and 1 ten-dollar bill. A player blindly and randomly draws bills one at a time without replacement from the box until a ten-dollar bill is drawn. Then the game stops. All bills drawn are kept by the player. What is the probability of winning exactly $16?
Click here to see answer by edjones(8007) About Me 

Question 588818: A committee of ten people must be selected froma group containing 8 males and 9 females. What is the probability that the committee will have more females than males.
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Question 588896: Your company ships a lot of packages needing quick delivery and short notice. In the past, you have used Speedy Air Delivery Service, but you are beginning to receive complaints from customers who say they are not receiving their packages on time. Speedy advertises that it delivers packages anywhere in the U.S. in an average of two days. To check Speedy’s claim, you select a random sample of 25 packages and find that the average delivery time for those 25 packages was 2.3 days.
1.Do you have sufficient evidence to accuse Speedy of false advertising? Explain why or why not. (For purposes of this discussion, we will assume that it is known that the standard deviation of package deliveries for Speedy is 0.5 days.)

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Question 588912: You are examining two sets of data. Set A has a mean (M) of 56 and a standard
deviation (SD) of 5.3; Set B has a mean of 56 and a SD of 10.2. Assuming a “normal”
curve, which of the datasets would you expect to have a more “extreme” range of data?
Why?

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Question 588912: You are examining two sets of data. Set A has a mean (M) of 56 and a standard
deviation (SD) of 5.3; Set B has a mean of 56 and a SD of 10.2. Assuming a “normal”
curve, which of the datasets would you expect to have a more “extreme” range of data?
Why?

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Question 588913: a marble is selected at random from a jar containing 5 red marbles, 3 yellow marbles, and 4 green marbles. what are the odds in favor of selecting a red marble?
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Question 588913: a marble is selected at random from a jar containing 5 red marbles, 3 yellow marbles, and 4 green marbles. what are the odds in favor of selecting a red marble?
Click here to see answer by stanbon(75887) About Me 

Question 588936: How many ways are there to select 11 countries in the United Nations to serve on a council if 2 is selected from a block of 52, 1 are selected from a block of 63 and 8 are selected from the remaining 74 countries?
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Question 588729: Three dice were rolled. What is the probability that exactly one six
came up if it is known that at least one six came up.

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Question 588489: For a family living in Nebraska, the probability of owning a dog is 0.4, the probability of owning a cat is 0.5,the probability of woning both a cat and a dog is 0.12. Find the probability that a family does not own a dog.
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Question 588954: A poker hand, consisting of 7 cards, is dealt from a standard deck of 52 cards. Find the probability that the hand contains 7 cards of the same suit.
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Question 588951: Suppose that, for students who are enrolled in college algebra, 71 percent are freshmen, 40 percent are female, and 25 percent are female and are freshmen. Your answers below should be entered as decimals and rounded to three decimal places.
(a) One student will be selected at random. What is the probability that the selected student will be a freshman or female (or both)?
(b) One student will be selected at random. What is the probability that the selected student will not be a freshman?

I have no idea on how to solve these.

Click here to see answer by edjones(8007) About Me 

Question 588942: A bag with marbles is shown below. A marble is chosen from the bag at random.
The bag contains 4 blue, 2 yellow & 4 red.
What is the probability that it is yellow?
What are the odds in favor of choosing a red marble?
What are the odds against choosing a yellow marble?

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Question 589092: find the probability that when three cards are dealt from a deck,you get one red followed by two blacks.
Click here to see answer by John10(297) About Me 

Question 589023: STATISTICS.
Consider a normal distribution with mean 25 and standard deviation 6. What is the probability a value selected at random from this distribution is greater than 25?

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Question 589341: Explain what is meant by mean, median, mode, variance, and standard deviation for a set of scores. Also mention under what circumstance you would use each of these.
In addition, find the mean, median, mode, variance, and standard deviation for the following set of scores:
X
4
2
2
3
5
6
Round off all answers to the nearest hundredth.

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Question 589328: Two number cubes have the digits 1, 2, 3, 4, 5, 6 on each. If the number cubes are rolled, what is the probability of the sum being 5 or 8?
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Question 589290: Hi!
I am having a problem setting up and solving this problem. I know that it is an "at least one" problem yet I am still struggling with it.
About 13% of the population is left handed. If 2 people are randomly selected, what is the probability that at least one is right handed?
Thanks!

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Question 589345: Why is hypothesis testing needed?
Click here to see answer by nyc_function(2741) About Me 

Question 589430: If you toss a fair coin 11 times, what is the probability of getting all heads?

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Question 589412: If one card is drawn from a standard 52 card playing deck, determine the probability of getting a ten, a king or a diamond. Round to the nearest hundredth.
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Question 589469: On a multiple-choice question with five choices, a certain student
either knows the answer and then marks the correct choice, or does not know the
answer and then marks one of the choices at random. What is the probability that he knew the answer if he marked the correct choice? Assume that the prior probability that he knew the answer is 3/4.

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Question 589532: A die is rolled 12 times. What is the P(X > 4 fives)?
Click here to see answer by stanbon(75887) About Me 

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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