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

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Question 606336: if you roll a six-sided number cube, what are the possible outcomes

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Question 606332: Find the probability of getting a prime number in the case that a number is chosen randomly from the set {1,2,3,4,...12}
So my thoughts were the prime numbers are 1,2,3,5,7,11 and there are 12 possibilities so the answer should be 1/2. But the answer given to me is 5/12. What am I missing?

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Question 606466: Here is the problem I am having trouble with (one of the practice question in a subject test study guide book for Math 1):
A random number generator will randomly select an integer between 1 and 100, inclusive. What is the probability that the integer selected will be a product of two odd integers greater than 1?
A) 25/100
B) 26/100
C) 28/100
D) 29/100
E) 30/100
So, I decided that the integer described must not be a prime number and must be odd itself. I counted how many odd number there are between 1 and 10, then between 11 and 20, then between 21 and 30. There are 4 of them in the first sequence, 5 of them in the second, and 5 of them in the third. There are ten sets of ten in 100, so there are 5(9)+4 odd numbers between 1 and 100, which is 49.
The next step is to subtract the # of prime numbers there are from this, but how can i figure out the # of prime #s without having to list them one by one? Thats is quite time consuming...
Thank you!

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Question 606543: A student in your algebra class is selected at random. One of the remaining students is selected at random. Is it dependent or independent?
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Question 606620: A multiple choice examination contains 5 questions, each of which 4 options/choices (a,b,c,d). Suppose a student answers by guessing only, what is the probability that
a. he will get perfect?
b. his answer to all questions are of the same letters?

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Question 606632: a. How many three digit-numbers can be formed from the digits 1,2,3,4,5 and 6 if each digit can be used only once?
b. How many of these are odd?
c. How many are greater than 600?

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Question 606635: Four cards are drawn at random from a deck of playing cards. What is the probability that
a. all are spades? (with replacement)
b. they are of different kinds? (without replacement)
c. there is only one heart? (without replacement)

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Question 606655: of 30 students in a class, 25 speak french and 20 speak english. each student speaks atleast 1 of these languages.
we meet a student from the class at random.
what is the probability that this student speaks:
1-both languages.
2-french only.
3-one language only.

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Question 606672: of 34 student. 22 play football, 10 play basketball, and 5 play both.
we meet a student from this class at random.
what is the probability that this student :
_is either exclusively a basketball or a football player.
_is neither a basketball nor a football player.
with explanation plz...ty

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Question 606629: determine the mean,median and mode of the following sets of number
a)8,11,14,13,14,9,15

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Question 606685: To find the average income of an adult in the United States, 250 workers in Tennessee are questioned.
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Question 606768: Find the probability of a score less than 36 with a mean of 38.3 and a standard deviation of 2.1
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Question 606542: mean of 70 standard deviation of 12 find the percentage that will fall below 55

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Question 606839: Players play a game called Spin the wheel you get to spin. You could land on any number 1-40. What would be the probability as a fraction if it was a multiple of 6?
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Question 606772: four cards are selected, one at a time from a standard deck of 52 cards. Let x represent the number of aces drawn in a set of 4 cards.
a) if this experiment is completed without replacement, explain why x is not a binomial random variable.
b) if this experiment is completed with replacement explain why x is a binomal random variable

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Question 606885: What is the probability of drawing a face card or a black card?
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Question 607178: About 18% of the population is allergic to pollen. If two people are randomly selected, what is the probability both are allergic to pollen? What is the probability at least one is allergic to pollen?
a)The probability that both will be allergic to pollen is?
b)The probability that at least one is allergic to pollen?

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Question 607216: What percent of 80 is 88
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Question 607227: Can I please get someone's help on this. Tried and tried but I cant get it. Saw other answers but they didnt match up to the answer provided.
Members of the general adult population volunteer an average of 4.2 hours per week. A random sample of 20 female college students and 18 male college students produced the results given in the table below. At the .01 level of significance, is there sufficient evidence to conclude that a difference exists between the mean number of volunteer hours per week for male and female college students?
Females Males
Sample size 20 18
Sample mean 3.8 2.5
Sample variance 3.5 2.2
Possible answers:
A. No, because the test value 2.38 is greater than the critical value
B. No, because the test value 2.38 does not exceed the critical value
C. No, because the test value 2.90 is greater than the critical value
D. Yes, because the test value 2.90 is greater than the critical value

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Question 607292: The probability that the children in a specific family will have brown eyes is
5/8.If there are six children in the family, what is the probability that at least three of them have brown eyes? (Round your answer to four decimal places.)

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Question 607281: Need help, I cant get the basis for this one.
The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 12 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars.

Store 1 2 3 4 5 6 7 8 9 10 11 12
Shelf Space 5 5 5 10 10 10 15 15 15 20 20 20
Weekly Sales 1.6 2.2 1.4 1.9 2.4 2.6 2.3 2.7 2.8 2.6 2.9 3.1
1) Compute the value of the sample correlation coefficient between weekly sales and shelf space.
possible answers: A. 0.684 ; B. 0.827 ; C. 0.652 ; D. 0.308

Thank you

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Question 607381: body temps: mean of 96.20 standard deviation of .82
If you have a body temp of 97.00 degrees, what is your percentile score?

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Question 607370: the Tafs have three children born in different years
draw a tree diagram or list a sample space to show all the possible arrangements of boy and girl children in the Grimaldi family

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Question 607541: Select a card. one card is selected at random from a deck of cards. Determine the probability that the card selected is 9, 5 or 7
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Question 607696: For the following scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard deviation:
1,112; 1,245; 1,361; 1,372; 1,472

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Question 607794: If five cards are selected from a standard deck of 52 playing cards. What are the odds of Not selecting a heart or a seven?
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Question 607822: A professor in the chemistry department decides to grade his three students using pass/fail. What is the probability that at least two students will pass?
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Question 607832: At a certain college, 30% of the students are math majors. If 10 students are selected at random, what is the probability that exactly 3 of them are math majors? Round your answer to three decimal places.
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Question 607870: Adrian spins the spinner below that contains numbers 1-8. What is the probability that he spins a prime number?
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Question 607889: Please help me solve this question
A test consists of 10 true or false questions. If the student guesses on each question: What is the mean number of correct answers? What is the standard deviation of the number of correct answers?

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Question 607534: what is the probability of rolling a single die four times and rolling exactly two fives?
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Question 607768: Ok this is the question as it is written, I have worked on it so long and messed it up so now Im totally confused...When 15 different second year medical students at Fletcher Allen Hospital measured the systolic blood pressure of the same person, they obtained the results listed below (in mmHg). Assuming that the population standard deviation is known to be 10mmHg, use a .05 significance level to test the claim that the mean blood pressure level is less than 140mmHg. Hypertension is defined to be a blood pressure level that is too high (140 mmHg or greater). Based on the hypothesis test results, can it be safely concluded that the person does not have hypertension?
142 133 139 143 125 128 130 134 133 148 146 144 133 150 142

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Question 607981: At a car dealer, the average sale price of the car is $21,500 with a standard deviation of $2,750. The dealer has 9,000 cars on the lot.
A) How many cars are priced at most $22,300?
B) How many cars are priced between $15,500 and $18,100?

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Question 607992: Can someone help me with this question and provide answers to the questions? Standard amounts of five different insecticides are found to kill 35%, 45%, 85%, 65% and 90% respectively of a fixed size of insect population. If one of the insecticides is chosen at random, what is the probability that it will kill:
a) at least 65% of the insect population?

b) at least 45% of the insect population?

c) between 40% and 80% of the insect population?

d) If two of the insecticides are chosen at random, what is the probability that any one of the pair chosen will kill at least 85% of the insect population?

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Question 607945: Q. Ffind the mean, median, sum of the squared deviations, variance and standard deviation for 3.0, 3.4, 2.6, 3.3, 3.5, 3.2
I have a mean of 3.17, median of 3.25, sum of squared deviations 0.79, variance of 0.13 and standard deviation of 0.36. Am I right? I feel quite lost in statistics. Thanks in advace.

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Question 607983: A random sample of size 2 is taken from the digits
3, 8, 10, 11
The range of each sample is calculated. What is the probability that the range is 1?

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Question 608031: hello, i need help on this ratio question:
In a class of 24 students the ratio of boys to girls is 3:5. How many girls are there?

my email is Bhopalaman@rocketmail.com

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Question 608016: hello, i need help on this ratio question:
18 pencils are shared in the ratio 4:5. How many pencils do each receive?

my email is Bhopalaman@rocketmail.com

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Question 608083:
A Math test has a mean of 43 and standard deviation of 17.0. Find the corresponding z scores for:

I. a test score of 13
II. a test score of 61


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Question 608085:

Starting with the data values 70 and 100, add three data values to the sample so that the mean is 90, the median is 94, and the mode is 94. Please show all of your work.

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Question 607540: 3.Determine whether the distribution below represents a probability distribution. If not, identify the requirement that is not satisfied.
X
1
2
3
4
5
p(x)
1.2
1.2
1.4
1.1
1.1

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Question 608156: when you add 24.25g and 12 g your answer rounded to the proper uncertainty would be
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Question 608257: A quart of parkers milk contains a mean of 39 grams of butterfat with a standard deviation of 2 grams. If the butterfat is normally distrubuted find the probability that the quart of this brand of milk chosen at random will contain A. 39-43 grams of butterfat of B. 36-39 grams of butterfat
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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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