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

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Question 991112: Alice and Bill are planning to have three children. (Assume that it is equally likely for a boy or a girl to be born.)
What is the probability that at least one will be a girl?

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Question 991126: What does a meteorologist mean when he or she says there is a 40% chance of rain tomorrow? It means that the meteorologist is predicting that about 40% of the land area covered by the forecast (say, northeast Texas) will receive some rain during the time period of the forecast (which is usually 12 hours). If the forecast area is 5000 square miles and the forecast is for a 40% chance of rain, how much area should receive rain?
Click here to see answer by ikleyn(52754) About Me 

Question 991113: Suppose there are 15 jelly beans in a box—1 red, 3 blue, 4 white, and 7 green. A jelly bean is selected at random.
What is the probability that the jelly bean is red? (Round your answer to the nearest whole number.)

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Question 991169: Two cards are taken at the same time from a pack where each card is unique.
If there are a total of 156 ordered outcomes, how many cards were in the initial pack?

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Question 991131: A certain model of remote control Stanley garage door opener has nine binary(off/on) switches. The homeowner can set any code sequence. (A) How many seperate codes can be programmed? (B) If you try to use your door opener on 1,000 other garages, how many times would you expect to succeed?
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Question 991243: You are one of 15 people applying for 7 positions in your company. What is the approximate probability that you will get the job?
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Question 991196: A vague appointment: Four people make an appointment to meet each other at the cafe in town. However, this particular town has four cafes. What is the probability that none of them meet?
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Question 991111: A city finds empirically that an automobile going through the intersection of 5th and Main will run a red light sometime during a given day with probability 6.6%. What is the probability that an automobile will not run a red light at that intersection on a given day? Write your answer as a percentage.
Click here to see answer by Fombitz(32388) About Me 

Question 991291: A game of chance is played by selecting 4 numbers out of 20.
The numbers 1 to 20 are then drawn without replacements. You win the game only if you selected all four numbers that are drawn.
What is the chance you will win? Complete the answer in scientific notation correct to one significant figure by entering the missing index (n).
+2+%2A+10%5En+
Please show working.
Ok so I tried doing it.
+1%2F20+%2A+1%2F19+%2A+1%2F18+%2A+1%2F17+
= 8.6 * 10^-6
not the 2 times 10 to the something

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Question 991125: Records kept by the National Ski Patrol and the National Safety Council show that, over a period of 14 years, 52.25 million people visited the slopes annually, with an average of 34 deaths each year. Assuming these figures are current, what is the probability that a skier will die in a skiing accident in a given year? (Round your answer to eight decimal places.)
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Question 989989: Q. On a firing range, a rifleman has two attempts to hit a target. The probability of hitting the target with the first shot is 0.2 and the probability of hitting with the second shot is 0.3. The probability of hitting the target with both shots is 0.1.

What is the probability of hitting with the first shot and missing with the second?


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Question 991404: Out of 100 random numbers ranging from 1 to 26 what is the probability of randomly getting the number five and then the number 15 in two consecutive selections?
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Question 991450: the number d of donations a charity receives varies directly with th number r of requests it mails. the charity sends out 9500 request and receives 420 donations. write an equation that relates r and d ?
Click here to see answer by Cromlix(4381) About Me 

Question 991712: If you were given a small bag of M&M's with 40 candies in it, using the percentages in the table below, how many of each color would you "expect" to find? (Give your answers to the nearest whole number.)

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

Question 991702: forty-five percent of households say they would feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had $50,000 in savings. Find the probability that the number that they say they would feel secure is (a) exactly five, (b) more than five, (c) at most five
I was able to get {A} which I think is .172 but I cant get the last two parts.

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Question 991700: what would be the approximite tempeture at 26,000 feet
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Question 991851: what is the sample space of tossing a coin and a dice once?
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Question 991851: what is the sample space of tossing a coin and a dice once?
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Question 991847: To determine if the mean test scores of English students, µE, is higher than from the mean test scores of American students , µA, the alternative hypothesis is?
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Question 991865: melanie+is+running+for+mayor+of+her+town+and+believes+that+the+probability+of+her+winning+the+election+is+8/13+what+is+the+probability+of+her+losing+the+election
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Question 991971: In testing a new drug, researchers found that 10% of all patients using it will have a mild side effect. A random sample of 12 patients using the drug is selected. If you wanted to find the probability that exactly three will have this mild side effect, what would be the values of n, x, and p that you would use to look this probability up in the Binomial Probability table (A-1), AND what would be the probability?
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Question 992052: In One hybridization experiment, 8170 offspring peas were obtained and 24.68% of them had green flowers. The others had white flowers. Consider a hypothesis test that uses a 0.05 significance level to test the claim that green flowered peas occur at a rate of 25%. Use this information to answer the following questions.
What is the test statistic?
z=
What is the p-value?
P-value =
what is the conclusion?
can a hypothesis test be used to prove that the r ate of green flowers peas is 25% as claimed?

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Question 992016: 1.) Bill and Larry toss two coins. If both coins come up heads, Bill pays Larry $5. Larry pays Bill $1 otherwise.
What is the expected value of this game for Bill?
What is the expected value of this game for Larry?

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Question 992015: 3.) A casino's gross revenue—all the money wagered by players—is referred to in the business as the handle. The hold is the profit the casino retains after players are paid. If a casino's hold is $3,000,000 in a month and it takes in 4.6% of the money wagered, how much is the handle? Round your answer in millions of dollars to two decimal places.
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Question 992013: 5.) A card game goes like this: You draw a card from a 52-card deck. If it is a face card (jack, queen or king), you win $5; otherwise, you lose $2. What is your expected value for this game? (Round your answer to one decimal place.)
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Question 992094: A family has three children. Every child was born to be a boy or girl with 50% chance. The probability of this family having two boys is:
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Question 992094: A family has three children. Every child was born to be a boy or girl with 50% chance. The probability of this family having two boys is:
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Question 992096: A family has three children. Every child was born to be a boy or girl with 50% chance. The probability if this family having three boys is:
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Question 992096: A family has three children. Every child was born to be a boy or girl with 50% chance. The probability if this family having three boys is:
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Question 992098: One genetic disease was tested positive in both parents of one family. It has bern knoen that any child in this family has a 25% risk of inheriting this disease. A family has three children. The probabiloty of this family having at least one child who inherited this genetic disease is:
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Question 992100: Traffic flow is traditionally modelled as a Poisson distribution. A traffic engineer monitors the traffic flowing through an intersection with an average of 6 cars per minute. To set the timing of a traffic signal the following probabilities are used.
If the variance of the number of cars through the intersection per minute is 20, is the Poisson distribution appropriate? Explain.

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Question 992097: One genetic disease was tested positive in both parents of one family. It has been known that any child in this family has a 25% risk of inheriting this disease. A family has three children. The probability of this family having at least 2 children who inherited this genetic disease is:

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Question 992091: One genetic disease was tested positive in both parents of one family. It has been known that any child in this family has a 25% risk of inheriting this disease. A family has three children. The probability of this family having all three children who inherited this genetic disease is:
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Question 992118: hi can someone help me please! thank you.
Show all work please.
Two cards are drawn from a deck of 52. Determine whether the events are independent or dependent. Find the indicated probability.
A. Selecting two face cards when the first card is replaced
B. Selecting two face cards when the first card is not replaced
Thanks! :)

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Question 992119: Hi can someone help with this please? Thanks show all work please.
A bag contains 3 red marbles, 7 yellow marbles, 5 green marbles, and 2 blue marbles. Determine whether the events are independent or dependent, and find each probability.
A red marble is chosen at random and replaced, and then the SAME red marble is chosen at random again.
A yellow marble and then a blue marble are chosen at random without replacement.
Thanks!

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Question 992120: Find the probability.
1. A bag contains 5 red, 3 green, 4 blue, and 8 yellow marbles. Find the probability of randomly selecting a green marble, and then a yellow marble if the first marble is replaced.
Thank you.! Show work please.

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Question 992207: 1/3x-2/3y/-3/x^2y
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Question 992240: help me please, and show all work thank you :)
A bag contains 3 red marbles , 7 yellow marbles, 5 green marbles, and 2 blue marbles. Determine whether the events are independent or dependent, and find each probability.
A red marble is chosen at random and replaced, and then the same red marble is chosen at random again.
A yellow marble and then a blue marble are chosen at random without replacement.

Click here to see answer by macston(5194) About Me 

Question 992239: Someone help me please? Thank you , show all work please.
Two cards are drawn from a deck of 52. Determine whether the events are independent or dependent. Find the indicated probability.
A. Selecting two face cards when the first card is replaced
B. Selecting two face cards when the first card is not replaced
thanks

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Question 992269: A call center company has a total of 120 agents and 48 are men. what is the probability that a randomly selected call center agent from the company is a (a) women? (b) men?
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Question 992130: P(A'n B) = 0.22 and P(A' n B') - 0.18
Find P(A) and P(A u B)

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Question 992353: Which statement is True
A sample statistic can never be equal to the population parameter.


Point estimates are defined for both samples and populations.


To calculate a sample proportion, we need to know the population size.


To calculate a point estimate, we need to know the sample

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Question 992377: Suppose we want to determine the (binomial) probability (p) of getting 3 heads in 15 flips of a 2-sided coin. Using the Binomial Probability table in the appendix of the text, what values of n, x, and p would we use to look up this probability, and what would be the probability?
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Question 992386: The speed of nitrogen molecules in the atmosphere (at 20şC) follows a normal distribution with a mean speed of 500 meters/second and a standard deviation of 50 meters/second. Which conclusion does this information best support?


84% of the molecules have speeds between 450 meters/second and 550 meters/second.


68% of the molecules have speeds between 450 meters/second and 550 meters/second.


50% of the molecules have speeds between 450 meters/second and 550 meters/second.

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Question 992203: A card game goes like this: You draw a card from a 52-card deck. If it is a face card (jack, queen or king), you win $5; otherwise, you lose $2. What is your expected value for this game? (Round your answer to one decimal place.)
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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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