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

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Question 1141876: The probability that an international flight leaving the US is delayed in departing (event D) is .26. The probability that an international flight leaving the US is a transpacific flight (even tP is. 54. The probability that an international flight leaving the US is a transpacific flight and is delayed in departing is .14.
What is the probability that an international flight leaving the US is delayed in departing given that the flight is a transpacific flight? (Round answers to 4 decimal places)

Click here to see answer by ikleyn(52754) About Me 

Question 1141868: In a bag there are 10 white marbles and 6 red ones. Four marbles are to be selected without replacemnet.
a) Can you use a binomial experiment to do this question? Why or why not?
b) What is the probability of pulling 3 white marbles? c) At least 2 red marbles?

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Question 1141871: A basketball player can make a basket 4/7 times. What is the probability that in the next 12 shots he will make.....
a) Exactly 7 baskets
b) At least 3 baskets

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Question 1141910: Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 25. Use the 68-95-99.7 rule to find the following quantities
The percentage of scores less than 100 is what percent?

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Question 1141932: At a show, there are 19 adults, 45 teenagers, and 36 children. What is the probability that a person chosen at random from the audience is not a teenager?

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Question 1141933: A bag contains 2 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?
Click here to see answer by Alan3354(69443) About Me 

Question 1141924: Ahmad tossed a fair coin 10 times.
Find the chances that the number of heads is between 4 and 6,inclusive.

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Question 1141976: A bookshelf contains 8 mystery, 5 adventure, and 7 nonfiction books. One book from the shelf is chosen at random. What is the probability of a mystery book being selected?
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Question 1141973: A random sample of 36 widgets from a recent batch had an average weight of 5 pounds. The standard deviation of the population of widgets is known to be 0.6 pounds. What is the lower limit of a 90% confidence interval based on this data? Use three decimal places in your answer
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Question 1141948: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 15 buyers are randomly selected, what is the probability that between 7 and 11 (both inclusive) buyers would prefer green?
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Question 1141904: A financial services company has 38 female top executives (presidents or vice presidents) among its 381 senior managers in its Banking Services division, while only 20 female top executives among its 308 senior managers in its Investment Services division. Test at the 0.02 significance level if this reveals the Banking Services division has significantly more female top executives in higher levels of management.

a. State the decision rule. (Round the final answer to 3 decimal places.)

If z than
, reject H0.

b. Compute the pooled proportion. (Round the final answer to 5 decimal places.)

pc =

c. Compute the value of the test statistic. (Round the final answer to 3 decimal places.)

The test statistic is
.

Click here to see answer by Boreal(15235) About Me 

Question 1141357: A survey of
2309
2309 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that
412
412 have donated blood in the past two years. Complete parts​ (a) through​ (c) below.
​(a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years.

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Question 1141359: Hi, Determine the point estimate of the population​ proportion, the margin of error for the following confidence​ interval, and the number of individuals in the sample with the specified​ characteristic, x, for the sample size provided.
Lower bound
equals
=
0.119
0.119​, upper bound
equals
=
0.641
0.641​, n
equals
=
1200
1200 Thank you for the help

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Question 1141988: In a study of the accuracy of fast food​ drive-through orders, Restaurant A had 284 accurate orders and 63 that were not accurate.
a. Construct a 95​% confidence interval estimate of the percentage of orders that are not accurate.
b. Compare the results from part​ (a) to this 95​% confidence interval for the percentage of orders that are not accurate at Restaurant​ B: 0.156less thanpless than0.245. What do you​ conclude?

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

Question 1142020: Furnace repair bills are normally distributed with a mean of 271 dollars and a standard deviation of 20 dollars. If 64 of these repair bills are randomly selected, find the probability that they have a mean cost between 271 dollars and 273 dollars.
A) 0.2881
B) 0.5517
C) 0.2119
D) 0.7881

Click here to see answer by VFBundy(438) About Me 

Question 1142019: The owner of a computer repair shop has determined that their daily revenue has mean $7200 and standard deviation $1200. The daily revenue totals for the next 30 days will be monitored. What is the probability that the mean daily revenue for the next 30 days will be between $7000 and $7500?
A) 0.8186
B) 0.2667
C) 0.7333
D) 0.9147

Click here to see answer by VFBundy(438) About Me 

Question 1142026: If the permutation of the word WHITE is selected at random, how
many of the permutations
i. Begins with a consonant?
ii. Ends with a vowel?
iii. Has a consonant and vowels alternating?

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Question 1142046: A box contains 17 large marbles and 12 small marbles. Each marble is either green or white. 11 of the large marbles are green, and 7 of the small marbles are white.
If a marble is randomly selected from the box, what is the probability that it is large or white?
Express your answer as a fraction or a decimal number rounded to four decimal places.

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Question 1142073: E and F are mutually exclusive events. P(E) = 0.15; P(F) = 0.71. Find P(E | F)

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Question 1142073: E and F are mutually exclusive events. P(E) = 0.15; P(F) = 0.71. Find P(E | F)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1142074: A drawer contains four red socks and two blue socks. Three
socks are drawn from the drawer without replacement.
(a) Create a probability distribution in which the random variable repre-
sents the number of red socks.
(b) Determine the expected number of red socks if three are drawn from
the drawer without replacement.

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Question 1142047: Consider this distribution. Is it a valid probability distribution? Explain why or why not.
x
0
1
2
P(x)
0.25
0.60
0.15

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Question 1142048: The probability that a semi-truck exceeds the speed limit on Route I-95 between Baltimore, Maryland and Alexandria, Virginia is about 75%. Suppose a random sample of 5 trucks are observed.
Find the mean μ of this probability distribution.

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Question 1142100: A high school baseball player has a 0.147 batting average. In one game, he gets 6 at bats. What is the probability he will get at least 4 hits in the game?

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Question 1142050: For a binomial probability distribution, it is unusual for the number of successes to be less than μ - 2.5σ or greater than μ + 2.5σ.
For a binomial experiment with 10 trials for which the probability of success on a single trial is 0.2, is it unusual to have more than 5 successes? Compute μ and σ to help you explain why or why not.

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Question 1142167: 79,79,81,84,84,84,85,86,89,89; mean=84

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Question 1142166: Compute the expected value for the number on which the pointer lands if the probabilities for the three regions are 1/2, 1/3, and 1/6 respectively.

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Question 1142137: Write a page giving advice to someone who wishes to save or invest money from a strictly financial perspective.
Your advice should be relevant to this particular person (their specific age, employment, family size, housing situation, savings, debt, wants, needs). Include relevant information and analysis to the topic you've chosen.
A few things to keep in mind:
I don't know who you're talking to so make sure you describe your understanding of their situation at the start of your conversation.
The person you're giving advice to shouldn't be telling you what to do or leading the conversation. You should be assessing their situation to give your own advice.
Do not include budgeting advice.
include compound interest and/or compounding frequency is clearly evident. Realistic rates are mentioned.

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Question 1142165: what is P (Z ≤ c) = 0.8830
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Question 1142143: The Acme Company lost 650 hours due to accidents on the job in the first quarter of the year. The average hourly wage of the employees who contributed to the lost hours was $15.00. The company benefits add 25% to the wages. Using the cost-of-lost-hours formula (employee hours lost X average loaded labor rate = cost), calculate the direct cost of the lost work hours. Discuss the approach you would use to estimate the hidden costs that would also be associated with the lost hours.
Click here to see answer by Theo(13342) About Me 

Question 1142169: A sample of 100 tyres is taken from a lot. The mean life of tyres is found to be 39350 kilometres with a standard deviation of 3260 kilometres. Could the sample come from a population with mean life of 40000 kilometres? Also obtain 99% confidence limits within which the mean life of tyres is expected to lie.
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Question 1142196: If two cards are drawn without replacement from an ordinary​ deck, find the probability of a jack and a 3 being drawn.
The probability of a jack and a 3 being drawn is

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Question 1142196: If two cards are drawn without replacement from an ordinary​ deck, find the probability of a jack and a 3 being drawn.
The probability of a jack and a 3 being drawn is

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Question 1142232: In a certain neighborhood of 100 families, 60 get their news from TV, 54 from the local paper, and 20 from both sources. If a family is selected at random, what is the probability that this family does not use any one of these sources for the news?
Click here to see answer by ikleyn(52754) About Me 

Question 1142154: Suppose that the talk time on a cellphone is normally distributed with a mean of 6 hours and a standard deviation of 1.5 hours. What is the probability a fully charged cellphone will last more than 5 hours?
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Question 1142173: A bag contains 3 red, 5 white and 4 green balls . Three balls are selected at random without replacement. Find the probability that the three balls chosen are one of each colour
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Question 1141862: Oxnard Petro LTD. is buying Hurricane insurance for its off-coast oil drilling platform. During the next five years, the probability of total loss of only the Above-water superstructure ($350 Million) is .25, the probability of total loss of the facility ($850 million) is .25 and the probability of no loss is .50. Find the expected loss
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Question 1142248: Find the indicated probability.
100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools, someone who cycles to work, or someone who works part time.
1. Public transportation: 9 full time, 6 part time
2. Bicycle: 4 full time, 4 part time
3. Drive alone: 35 full time, 30 part time
4. Carpool: 6 full time, 6 part time



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Question 1142247: In a Christmas display, the probability that all the lights are the same colour is 0.50, that two colours are used is 0.40 and that three or more colours are used is 0.10. If a sample of 10 displays is selected, find the probability that 5 have only 1 colour of light, 3 have two colours and 2 have 3 or more colours.
Click here to see answer by greenestamps(13195) About Me 

Question 1142049: Question text
Let's look again at the semi-trucks traveling between Baltimore, Maryland and Alexandria, Virginia. We said that the probability that a truck exceeds the speed limit is 75%. Suppose a random sample of 5 trucks are selected.
What is the standard deviation σ of the probability distribution?

Click here to see answer by rothauserc(4718) About Me 

Question 1142268: Please help me with this question.
The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 40% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 10 adult dogs is studied. What is the probability that more than 7 of them weigh 65 lb or more?
I understand that n=10 p=.4 and q=.6, however, I do not know what x is. I also do not know which formula to use to get the probability for this problem

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Question 1142269: A box contains 4 plain pencils and 4 pens. A second box contains 7 color pencils and 5 crayons. One item from each box is chosen at random. What is the probability that a plan pencil from the first box and a color pencil from the second box are selected?
Click here to see answer by ikleyn(52754) About Me 

Question 1142272: An introductory art class has 9 male & 2 female freshmen, 5 male & 8 female sophomores, 3 male & 9 female juniors, and 3 male seniors. What is the probability of randomly selecting a sophomore?
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Question 1142105: Last year's freshman class at Big State University totaled 5,346 students. Of those, 1,262 received a merit scholarship to help offset tuition costs their freshman year (although the amount varied per student) The amount a student received was N($3,443, $450) if the cost of full tuition was $4,200 last year what is the percentage of students who received a merit scholarship did not receive enough to cover full tuition?
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Question 1142271: 60% of a company’s customers are female what is the probothat a random sample of 200 customers is greater than 64%
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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, 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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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