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

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Question 672792: pizza hous offers 2 different salads, 7 different kinds of pizza, and 3 different desserts. how many different 3 course meals are possible?
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Question 672937: A sample of 95 golfers showed that their average score on a particular golf course was 84.37 with a standard deviation of 6.31.
Answer each of the following (show all work
and state the final answer to at least two decimal places.):
(A) Find the 99% confidence interval of the mean score for all 95 golfers.
(B) Find the 99% confidence interval of the mean score for all golfers if this is a sample of 145 golfers instead of a sample of 95.
(C) Which confidence interval is smaller and why?

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Question 672987: The braking distance of a sample of Ford F-150's are normally distributed. On a dry surface, the mean braking distance was 158 feet with a standard deviation of 7.23 ft. What is the longest braking distance on a dry surface one of these F-150 trucks could have an still be in the best 1%?
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Question 673004: In a mixed class, there are 10 girls.
If 2 pupils are selected at random, the probability that they are both girls is 0.15
How many boys are in the class?

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Question 673094: There are 34 chocolates in a box, all identical. There are 10 filled with nuts, 13 with carmel, and 11 are solid chocolate. You randomly select one piece, eat it and then select a second piece. Find the probability of selecting 2 solid pieces in a row.
Click here to see answer by edjones(8007) About Me 

Question 673079: On a very hot summer day, 5% of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism. What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?
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Question 673307: you reach into a bag of coins and withdrew two coins. what is the probablility you withdrew a nickle and then a dime if the bag held ten pennies six nickles and five dimes?
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Question 673338: A researcher conducts a hypothesis test using a sample from an unknown population. If the t statistic has df = 35, how many individuals were in the sample
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Question 673195: the amount of chemical W used to manufacture certain detergents vary, depending on the concentration and use of the required detergent. company records show that the amounts used are normally distributed. futher, they indicate that the chances of any detergent having at least 2.4grams of this chemical are 2.28% while the chances of having less than 1.4grams are 30.85%
a) determine the probability of a detergent having
i)more than 1.2grams but not exceeding 2.6grams of the chemical
ii)either less than 0.4grams, exactly 0.8grams or more than 2.8grams

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Question 673473: PLEASE HELP!
Assuming boy and girl babies are equally likely, find the probability that a family with 3 children will have exactly 2 boys?

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Question 673480: I am confused! I think I know the answer, but I may be wrong. Please help!
The odds against an event are 8:8. Find the probability that the event will occur.
1/3
3/1
1/4
1/2

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Question 673571: please help me!!!!
if 3 fair coins are tossed, find the probability of each number of heads.
1) 0
2) 2
3) 1 or 2

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Question 673581: Evaluate the expression
a) 8C2
b) 8P2
Please help me on this. I need to understand , I have a final coming up.

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Question 673689: The amount of Jen's monthly phone bill is normally distributed with a mean of $50 and a standard deviation of $10. Find the 25th percentile?
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Question 673705: Yes I know this was answered by Stan and he did a great job. I just need clarification.
A mini license plate for a toy car must consist of a two numbers followed by a vowel. Each number must be a 3 or a 6. Repetition of digits is permitted.
Use the counting principle to determine the number of points in the sample space. Construct a tree diagram to represent this situation.
List the sample space. Determine the exact probability of creating a mini license plate with a
3. Give solution exactly in reduced fraction form.

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Question 673756: A magazine for young business executives plans to determine the mean annual income of its subscribers. For the result to be useful, it is believed that the probability that the sample mean will differ by less than $5,000 from the population mean should equal 0.95. A rough estimate of the standard deviation of the annual income of the subscribers is $15,000. How large a sample should be drawn?

Click here to see answer by ewatrrr(24785) About Me 

Question 635951: If the Confidence Level is 99%, the Confidence Coefficient for calculating the confidence interval for the mean is 2.33. T or F? Why or why not?
Click here to see answer by jbondarchuk(1) About Me 

Question 673942: Hi, would appreciate any help in this one. A 150 bed hospital reports 3,422 service days for the month of December. The average daily inpatient census for December is: (round to a whole number).
Thanks in advance.

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Question 673950: PLEASE HELP!!!
It is known that a certain prescription drug produces undesirable side effects in 30% of all patients who use it. Among a random sample of 8 patients using the drug, find the probability of each event. Round each answer to the nearest hundredth.
a) None have undesirable side effects
b) Exactly one has undesirable side effects
c) Exactly two have undesirable side effects
d) More than two have undesirable side effects

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Question 673878: PLEASE HELP!
It is known that a certain prescription drug produces undesirable side effects in 30% of all patients who use it. Among a random sample of 8 patients using the drug, find the probability of each event. Round each answer to the nearest hundredth.
a) None have undesirable side effects
b) Exactly one has undesirable side effects
c) Exactly two have undesirable side effects
d) More than two have undesirable side effects

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Question 673803: The 2010 American Census reported that 28.6% of American teens held part time jobs. Let p = .286 represent the proportion of American teens that have jobs. Find, if possible, the probability that a random sample of 30 American teens will have fewer than 20% who have part time jobs.
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Question 674007: Four commuter trains and five express buses depart from city A to City B in the morning, and three commuter trains and four express buses operate on the return trip in the evening. In how many ways can a commuter from City A to City B complete a daily round trip via bus and/or train?
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Question 674223: suppose you receive a shipment of ten televisions. Three of the televisions are defective. If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one of the two televisions does not work?
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Question 674253: A fair coin is tossed until a head appears.The probability that 3 throws are necessary.
I considered 1/2*1/2*1/2=1/8
But the answer is 1/2*1/2 DISABLED_event_only= 1/4.
Please suggest.

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Question 674267: what is the probability that a value picked at random from the standard normal distribution will be between -1 and 1 is approximately______
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Question 674349: A class has 16 students, of which 3 are seniors. How many committees of size 3 can be selected if at least one member of each committee must be a senior?
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Question 674358: From a standard 52-card deck, how many 7-card hands will have 3 spades and 4 hearts?
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Question 674362: Within the United States, approximately 11.25% of the population is left-handed. Of the males, 12.6% are left-handed, compared to only 9.9% of the females. Assume the probability of selecting a male is the same as selecting a female.What is the probability that a person is a right handed male?

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Question 674453: Suppose X is normally distributed with mean 30 and standard deviation 8, find the value x0 such that P(X ≥ x0) = 0.95.
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Question 674424: Suppose you are working with a data set that is normally distributed with a mean of 400 and a standard deviation of 20. Determine the value of x such that 60% of the values are greater than x.
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Question 674417: The U.S. national average door-to-doctor wait time for patients to see a doctor is now 21.3 minutes. Suppose such wait times are normally distributed with a standard deviation of 6.7 minutes. Some patients will have to wait much longer than the mean to see the doctor. In fact, based on this information, 3% of patients still have to wait more than how many minutes to see a doctor?
Round z value to 2 decimal places. Round your answer to 2 decimal places, the tolerance is +/-0.05.

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Question 674340: Which pair has equally likely outcomes? A standard deck of cards has 12 face cards and four Aces ( Aces are NOT face cards)
A. Rolling a sum of 7 on two fair six sided dice.
B. Drawing a spade out of a standard 52 card deck.
C. Drawing a queen out of a standard 52 card deck given it’s face card.
D. Drawing a red card out of a standard 52 card deck.
E. Rolling a 4, 5 or 6 on one fair sided die.

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Question 674158: A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determine a 68 % confidence interval for the population proportion of college seniors who plan to attend graduate school. (Enter each answer rounded to three decimal places.)
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Question 674638: PLEASE HELP!
A game consists of rolling a single fair die and pays off as follows: $3 for a 6, $2 for a 5, $1 for a 4, and no pay off otherwise.
a) Find the expected winnings for this game.
b) what is a fair price to play this game.
Please explain too! Thanks!

Click here to see answer by ewatrrr(24785) About Me 

Question 674672: Consider the Venn diagram below. The numbers in the regions of the circle indicate the number of items that belong to that region.

The diagram has 2 circles and an intersection in the middle of the two- in circle A is the number 30 in circle B is the number 90 the intersected part has 20.
Determine-
1) n (A)
2) n (B)
3) p (A)
4) p (B)
5) p (AǀB)
6) p (BǀA)

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Question 674670: A college foundation raises funds by selling raffle tickets for a car worth $36,000. Given that 720 tickets are sold for $120 each. Find the total profit for the foundation, if they had to purchase the car.
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Question 674669: A college foundation raises funds by selling raffle tickets for a car worth $36,000. Given that 720 tickets are sold for $120 each. Find the expected net winnings to five decimal places, of a person buying one of the tickets.
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Question 674673: A college foundation raises funds by selling raffle tickets for a car worth $36,000. Given that 720 tickets are sold for $120 each. Find the expected net winnings to five decimal places, of a person buying one of the tickets and NOT winning.
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Question 674781: PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A children’s theater found in a random survey that 65 customers bought one snack bar item, 40 bought two items, 26 bought three items, 14 bought four items, and 18 avoided the snack bar altogether. Find the expected number of snack bar items per customer. Round your answer to the nearest tenth.

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Question 675089: Hi, I just need help on doing the steps. I figured out it was 30, but do not remember how to do it. Thanks!
Assume that body temperatures of healthy adults are normally distributed with a mean of 98.2°F and a standard deviation of 0.62°F. Is P(98 < xbar < 98.4) greater for n =15 or
n = 30?

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Question 675076: Z is a standard normal random variable. Compute the probability P(-2.37 ≤ z ≤ -1.54).
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Question 675006: If you roll a die 50 times and 10 of the rolls result in a "5," what empirical probability was observed for the event "5"?
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Question 674986: In how many different ways can the top nine new indie bands be ranked on a top nine list? The top hit song for each of the nine bands will compete to receive monetary awards of $1000, $500, $250 and $100, respectively. In how many ways can the awards be given out?

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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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