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

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Question 1175514: Suppose an opaque jar contains 4 red marbles and 10 green marbles. The following exercise refers to the experiment of picking two marbles from the jar without replacing the first one.
What is the probability of getting a green marble first and a red marble second?

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Question 1175528: We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately
σ
=
62.4
. We would like to be 99.5% confident that the esimate is within 2.5 of the true population mean. How large of a sample size is required?

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Question 1175542: Based on historical data, your manager believes that 30% of the company's orders come from first-time customers. A random sample of 102 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.33?
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Question 1175541: Based on historical data, your manager believes that 27% of the company's orders come from first-time customers. A random sample of 71 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.32?

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Question 1175551: The mean value of land and buildings per acre
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Question 1175554: Identify the design of each experiment
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Question 1175552: Identify the design of each experiment
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Question 1175517: A political scientist surveys 21 of the current 141 representatives in a state's legislature.
What is the size of the sample:

What is the size of the population:

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Question 1175543: A Food Marketing Institute found that 26% of households spend more than $125 a week on groceries. Assume the population proportion is 0.26 and a simple random sample of 52 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is between 0.23 and 0.5?
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Question 1175568: The mathematics faculty at a college consists of 8 tenured professors, 12 associate profressors, 14 adjunct professors, and 10 math tutors. If one member of the faculty is randomly selected, find the probability, as a percent to the nearest tenth, of not choosing a math tutor?
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Question 1175583: The probabilities that a shop will make a profit and break even are 0.6 and 0.1 respectively. What is the probability that the shop will lose?

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Question 1175613: If you are to pick a number from the box with numbers 1-30, what is the probability that you will pick a number that is odd or is divisible by 5?
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Question 1175614: The probability that a visit to the school clinic is neither due to dental reasons for medical reasons is 35%. Of those coming to the clinic, 30% are due to medical reasons and 40% are due to dental reasons. What is the probability that a visit to the school clinic is due to both dental and medical reasons?
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Question 1175614: The probability that a visit to the school clinic is neither due to dental reasons for medical reasons is 35%. Of those coming to the clinic, 30% are due to medical reasons and 40% are due to dental reasons. What is the probability that a visit to the school clinic is due to both dental and medical reasons?
Click here to see answer by ikleyn(52750) About Me 

Question 1175585: The probability that a new mobile phone battery will fail in the first 6 months is 0.13. Find the probability that the battery will last more than 6 months.
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Question 1175643: A diskette manufacturer has determined that 3% of his diskettes are defective.
He has just sold 2 disks to a customer.
(a) What is the probability that both the disks purchased by the customer are
defective?
(b) What is the probability that one of the disks is defective?
I am struggling with what Probability Methods (formulas) to use with these applications. Any help would be greatly appreciated!
Thank You!

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Question 1175643: A diskette manufacturer has determined that 3% of his diskettes are defective.
He has just sold 2 disks to a customer.
(a) What is the probability that both the disks purchased by the customer are
defective?
(b) What is the probability that one of the disks is defective?
I am struggling with what Probability Methods (formulas) to use with these applications. Any help would be greatly appreciated!
Thank You!

Click here to see answer by ikleyn(52750) About Me 

Question 1175519: (Give your answers correct to TWO (2) decimal places)
In a butter cookies packing plant, the weight (in grams) of a pack of butter cookies packed is normally distributed. A random sample of 10 packs was drawn from the plant, and their weights were measured with the following results.
19.5 19.7 20.2 19.7 20.0
19.5 20.2 19.6 20.0 19.9
(a) Calculate the unbiased estimate for the population mean µ and the population standard deviation σ of the weight (in grams) of all butter cookies packed in the plant.
Answer: the unbiased estimate for µ is ____ grams,and the unbiased estimate for σ is ____ grams.

(b) Find the 99% confidence interval for the population mean weight of butter cookies packed in the plant.
Answer: the 99% confidence interval for the population mean weight of butter cookies packed in the plant is from ____ grams to ____grams.

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Question 1175650: 37% of the birds in Cititon Park are blue. What is the probability that, in a random sample of 135 birds, more than 50 are blue birds? Use a normal approximation to compute your answer. Round your answer to 4 decimal places.
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Question 1175598: A genetic experiment with peas resulted in one sample of offspring that consisted of 431 green peas and 156 yellow peas.
a. Construct a 90% confidence interval to estimate of the percentage of yellow peas.
b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

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Question 1175657: Raw material used in the production of synthetic fiber is
stored in a place which has no humidity control.
Measurements of the relative humidity in the storage
place and the moisture content of a sample of the raw
material (both in percentages) on 10 days yielded the
following results:
Humidity x 42 35 50 43 48 62 31 36 44 39 55 48
Moisture
content y 12 8 14 9 11 16 7 9 12 10 13 11
(i) Make a scatter plot to verify that it is reasonable to
assume that the regression of y on x is linear
(ii) Fit a straight line by the method of least squares,
(iii) Predict the moisture content when humidity is 70%.
(iv) Determine the correlation coefficien

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Question 1175579: You wish to test the following claim ( Ha) at a significance level of α=0.002.
Ho:μ=50.6 Ha:μ>50.6
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n =15 with mean M=52.7 and a standard deviation of SD=9.2.
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =?

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Question 1175577: Is there a significant difference between first-and second-generation Asian populations?

First-Generation Asian Americans (N = 2,684), 58% own a home
Second-Generation Asian Americans (N = 566), 51% own a home
Set alpha at 0.01

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Question 1175700: What is the probability of getting a 1 or 6 in rolling a die?
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Question 1175700: What is the probability of getting a 1 or 6 in rolling a die?
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Question 1175705: A jar contains 7 white marbles and 7 red marbles. What is the probability of drawing 2 white marbles and 1 red?
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Question 1175705: A jar contains 7 white marbles and 7 red marbles. What is the probability of drawing 2 white marbles and 1 red?
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Question 1175703: In a standard deck of 52 cards, what is the probability of getting a joker?
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Question 1175703: In a standard deck of 52 cards, what is the probability of getting a joker?
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Question 1175703: In a standard deck of 52 cards, what is the probability of getting a joker?
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Question 1175707: Two men (Jim and Bob) and three women (Ann,
Beth, and Carol) are on a committee. Two of the
five are to be chosen to serve as officers. What is
the probability that the first one is a man and followed by a woman? Assume no replacement?

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Question 1175702: Assume that scores on a widely used standardized test are normally distributed with a mean of 750 and a standard deviation of 100.
If a college admits only the top 10% of the students taking the test, what is the lowest score a student can obtain and be admitted?

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Question 1175701: Assume that the mean weekly study time for the entire student body of a large university is 25 hours, with a standard deviation of 15 hours. Consider the student body to be a population.
What is the mean of the sampling distribution of the mean (N = 100)?

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Question 1175715: the probability of sunny weather on a day in cape town is 1/5 and the probability of wet weather is 1/4. Are the two events
a. complementary?
b. mutually exclusive? and/or
c. Disjointed events?

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Question 1175299: Margin of Error for Means
1.A study of a local high school tried to determine the mean number of text messages that each student sent per day. The study surveyed a random sample of 64 students in the high school and found a mean of 189 messages sent per day with a standard deviation of 80 messages. At the 95% confidence level, find the margin of error for the mean, rounding to the nearest whole number. (Do not write \pm±).
2.Confidence Intervals for Means
A study of a local high school tried to determine the mean number of text messages that each student sent per day. The study surveyed a random sample of 55 students in the high school and found a mean of 160 messages sent per day with a standard deviation of 85 messages. Determine a 95% confidence interval for the mean, rounding all values to the nearest whole number.

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Question 1175739: Earl selects a card at random from a standard deck of cards. What is Earl's chances of selecting either a 6 or 7?
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Question 1175746: Compute for the mean,The median and the mode of each set of ungrouped data
A)22,41,16,20,18,23,37,34,26
B)111,130,128,105,109,107,112,126,123,115,128

can you help me with this thank you ❤❤

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Question 1175758: According to the last census, 45% of working women held full time jobs in 2010. If a random sample of 50 working women is drawn, what is the probability that 19 or more hold full time jobs?
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Question 1175760: Assume that each child that is born is equally likely to be a boy or girl . If a family has two children what is the probability that
1) both are girls
2) Elder is girl
3) first one is boy
4) At least two boys
5) younger is girl.

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Question 1175785: In how many ways can 19 different pizza toppings be chosen from 20 available toppings?
There are
ways to choose pizza toppings.

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Question 1175795: Assume that each child that is born is equally likely to be a boy or girl. If a family has two children what is the probability that
i) Both are girls ii) Elder is girl iii) First one is boys
iv) At least two boys v) Younger is girl.

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Question 1175793: According to the last census, 45% of working women held full-time jobs in 2010. If a random sample of 50 working women is drawn, what is the probability that 19 𝑜𝑟 𝑚𝑜𝑟𝑒 hold full-time jobs?
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Question 1175793: According to the last census, 45% of working women held full-time jobs in 2010. If a random sample of 50 working women is drawn, what is the probability that 19 𝑜𝑟 𝑚𝑜𝑟𝑒 hold full-time jobs?
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Question 1175751: You are dealt one card from a standard 52-card deck. What is the probability, as a reduced fraction, of being dealt a card greater than 3 but less than 7?
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Question 1175784: suppose m = 500 m; r = 2 km; n = 2.5km and s = 250m calculate the perimeter of the plot
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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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