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

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Question 519848: If the scores on your first statistics test were normally distributed with a mean of 75 and a standard deviation of 12,
what is the least score (to the nearest integer) you could have to be in the top 10% of your class?

Click here to see answer by stanbon(75887) About Me 

Question 519847: a coin is tossed 4 times and the sequence of heads and tails is observed:
(a)how many different outcomes are possible
(b)how many different outcomes have exactly 3 tails
(c)how many different outcomes have at least 1 tail
Please Please help me with this-thank you very very much

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Question 520004: if a single card is drawn from a deck of plying cards what is the probability of that is diamond,a face card or a king
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Question 520031: In a class on probability, a lecturer flips two balanced coins. Both fall to the floor and roll under his desk. A student in the front row informs the professor that he can see both coins and reports that at least one of them shows tails. What is the probability that the other coin is also tails?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 520034: A 1-inch-diameter coin is thrown on a table covered with a grid of lines two inches apart. What is the probability the coin lands in a square without touching any of the lines of the grid?
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Question 520203: what is the probability of exactly 3 successes in six trails in which p is one half
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Question 520202: A company's computer password must consist of 4 letters with no repetition of letters.
How many possible passwords are there?

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Question 520257: find an angle between 0degrees and 360degrees that is coterminal with -480degrees. Find an angle between 0 and 2pi that is coterminal with 15pi/2?
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Question 520284: plums cost 0.32 each which is closest esitmate to the cost of 18 plums

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Question 520336: The average number of turkeys per flock in Kennebec County is 38 with a standard deviation of 4.
a.) What size flock would have a z score of -1.5?

b.) What percent of flocks would be expected to be smaller than b.)?

I can't tell if I need to use the Z-Score Table in my Statistics book for a.) or if I need to use a formula?
Thanks in advance!!

Click here to see answer by richard1234(7193) About Me 

Question 520361: A new fluorescent light to replace incandescent bulbs has come on the market. The box says it has an average life of 8,000 hours with a standard deviation of 750 hours. A random sample of 75 light bulbs is taken. Let X be the mean of the sample.
a.) What is the probability that X ≥ 7900?
b.) What is the probability that 7800 ≤ X ≤ 8100?

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Question 520352: The University of Maine Student Government Associations is having a consolation drawing for the 12 contest finalists who did not win a trip to Boston. 1st prize is a $100 LL Bean gift card, 2nd prize is a $20 Applebee's gift card, and 3rd prize is a pencil. How many ways can the 3 prizes be awarded?
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Question 520431: WHEN A REGULAR SIX SIDED DIE IS ROLLED ONCE, FIND THE PROBABILITY OF GETTING AN EVEN NUMBER OR A NUMBER GREATER THAN OR EQUAL TO FOUR. WHAT IS THE PROBABILITY THAT AT LEAST ONE "5" WILL SHOW UP? MY ANSEWRS ARE A. 2,4,6. B. IS 5 & 6 C. IS 1/6.
Click here to see answer by solver91311(24713) About Me 

Question 520348: 78% of lobsters caught along the Maine coast have a larger right claw than left claw. If a lobster boat pulls into the Fishermen's Pier with 400 lobsters, what is the probability that:
a.) 350 or more lobsters will have a larger right claw?
b.) 325 or fewer lobsters will have a larger right claw?

Click here to see answer by stanbon(75887) About Me 

Question 520447: THE FOLLOWING REPRESENT THE SALARIES(IN THOUSANDS OF DOLLARS) FROM A SMALL SCHOOL DISTRICT IN CONNECTICUT. 45, 61, 75, 91, 110, 45, 63, 77, 93, 48, 65, 79, 94, 49, 66, 80, 95, 56, 67, 82, 100, 50, 70, 58, 71, 88, 57, 59, 73, 85. CONSTRUCT THE FREQUENCY DISTRIBUTION TABLE AND THE HISTOGRAM (USE 5 CLASSES) TO DISPLAY THESE DATA. MY ANSWERS ARE:CLASS 45-59, 61-79, 80-88, 91-95, 100-110. FREQUENCY: 9, 11, 4, 4, 2=30, RANGE= 110-45=65 AND CLASS 65/5=13
Click here to see answer by solver91311(24713) About Me 

Question 520604: A screening test for a certain disease is prone to giving false positives or false negatives. If a patient being tested has the disease, the probability that the test indicates a (false) negative is .13. If the patient does not have the disease, the probability that the test indicates a (false) positive is .10. Assume that 3% of the patients being tested actually have the disease. Suppose that one patient is chosen at random and tested. Find the probability that
a. this patient has the disease and tests positive
b. this patient does not have the disease and tests positive
c. this patient tests positive
d. this patient has the disease given that he or she tests positive
Thanks so much in advance!

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

Question 520569: At a certain college, 55% of the students are female, and % of the students major in finance. Furthermore, 8% of the students both are female and major in finance.(a) What is the probability that a randomly selected female student majors in finance? Round your answer to 2 decimal places.(b) What is the probability that a randomly selected finance major is female? Round your answer to 2 decimal places.
Click here to see answer by edjones(8007) About Me 

Question 520625: how many combinations can you make with 11 numbers but only 6 spaces?
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Question 520626: how many combinations can you make with 11 numbers but only 6 spaces?
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Question 520516: What is the probability that at least one out of 40 students in a class will have a birthday in march?
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Question 520620: For a certain type of computer the length of time between charges of the battery is normally distributive with a mean of 50 hours and a standard deviation of 15 hours. Marvin owns one of these computers and wants to know the probability that the length time will be between 50 and 70 hours
Click here to see answer by edjones(8007) About Me 

Question 520629: A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards. How many different hands are there consisting of (a) four hearts and one spade? (b) three red cards and two black cards? (c) at least 3 face cards? (d) 2 aces and 2 face cards?
Click here to see answer by stanbon(75887) About Me 
Question 520629: A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards. How many different hands are there consisting of (a) four hearts and one spade? (b) three red cards and two black cards? (c) at least 3 face cards? (d) 2 aces and 2 face cards?
Click here to see answer by edjones(8007) About Me 

Question 520645: A committee of 9 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the probability that (a) the final vote count is unanimous? (b) the first 4 votes are yea? The last 5 votes are nay?
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Question 520610: (a) Using statistical software, determine the least squares line for these data. Use the equation of this line to estimate the number of persons per household in the year 2019. (Round the answer to one decimal place.)
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Question 520781: It is estimated that approximately 3 percent of the population is affected with the virus that causes HIV. In a random sample of 100 persons calculate;
a. less than 2 percent are affected
b. between 2 percent and 4 percent
c. no less than 2 percent of persons are affected
d. 3 percent of persons are affected

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Question 520793: Axline Computers manufactures personal computers at 2 plants. ...
Axline Computers manufactures personal computers at 2 plants. The Texas plant has 40 employees, the Hawaii plant has 20. A random sample of 10 employees is to be asked to fill out benefit questionnaires.
A. What is the probability that none of the employees in the sample work at the plant in Hawaii?
B. What is the probability that one of the employees in the sample works at the plant in Hawaii?
C. What is the probability that two or more in the sample work at the plant in Hawaii?
D. What is the probability that nine of the employees in the sample work at the plant in Hawaii?

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Question 520910: 66,95,70,82,67 whats the mean score

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Question 520920: In a manufacturing plant that produces computers, a 0.15 probability exists that a computer will be defective. If 5 computers are manufactured, what is the probability that all of them will be defective?
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Question 520912: On a multiple choice quiz with 24 questions, each has 5 possible answers, find the variance of the number of correct answers.
Please help me set this up with the numbers provided. Not just the formula, it's the formula that is confusing me!
Thanks!

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Question 521056: If you use all the cards in a standard deck of 52 cards, how many groups of cards can be made? How many cards can be in each group?
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Question 521000: How do you figure out how many combinations you can make from 5 single numbers
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Question 520990: hello,
could you please help me with the following problems:
problem 1:
There are 500 bulbs, probability of a single bulb to be defective is p=0.001. What is the probability that
a) exactly two of the bulbs are defective?
b) none of them is defective?
c) exactly 13 of the bulbs are defective?
Thank you.

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Question 521271: An urn contains green and black balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all balls drawn from the urn are green? Round your answer to three decimal places
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Question 520974: Grace sold 5/8 of her stamp collection. What is this amount as a decimal?
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Question 521344: I need help.
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Question 521346: I need help.
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Question 521400: there are 5 red marbles and 10 green marbles in a bag.if a marble is picked at ramdom,find the probability that the marble is red and green
Click here to see answer by Edwin McCravy(20054) About Me 

Question 521469: A poll for the presidential campaign samples 491 potential voters in June. A primary purpose of the poll was to obtain an estimate of the proportion of potential voters who favored each candidate. Assume a planning value of p* = 0.50 and a 95% confidence level.
a. For p* = 0.50, what was the planned margin of error for the June poll? (Without calculation process, no credit)
b. closer to the November election, better precision and smaller margins of error are desired. Assume the following margins of error are requested for surveys to be conducted during the presidential campaign. Compute the recommended samples size for each survey. (Without calculation process, no credit)
Survey Margin of Error
September 0.04
October 0.03
Early November 0.02
Pre-Election Day 0.01

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Question 521459: A clinical trial is planned to compare an experimental medication designed to lower blood pressure to a placebo. Before starting the trial, a pilot study is conducted involving 10 participants. The objective of the study is to asses how systolic blood pressure changes untreated over time. Systolic blood pressure are measured at baseline and again 4 weeks later. Compute a 95% confidence interval for the mean difference in blood pressure over 4 weeks.
Baseline 120 145 130 160 152 143 126 121 115 135
4 weeks 122 142 135 158 155 140 130 120 124 130

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Question 522087: Four Students sit a typing test.
The probability that Anna passes the test is 1/2
The probablity that Boris passes the test is 4/9
Calulate the probabilty that both Anna and Boris pass the test. Give the answer in its simplest form?

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Question 522062: A coin is tossed 300 times. What is the probability that heads will appear more than 140 times & less than 150 times?
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Question 522060: In a certain group of computer personnel, 65% have insufficient knowledge of hardware, 45% have inadequate idea of software & 70% are in either one or both of the two categories. What is the percentage of people who do not know software among those who have a sufficient knowledge of hardware?

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Question 522031: How many different ways can 9 voters be ordered from first to last?
the formula we use is 2^n
here n=9
so simply the answer is 512

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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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