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

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Question 1155648: can you create a lottery question that is a "fair game", calculate the probability of winning, decide cost to play and playoff amounts for winning, and prove the game is a fair game??
plss i really appreciate it. can you create a question with this guidelines?!!

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Question 1155819: How many distinct permutations can be formed using the letters of the word ​"CHARACTER​"?
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Question 1155820: an experiment is performed where a 6-sided die is rolled and then a 3-color spinner is spun. the possible outcomes for each event are 1,2,3,4,5 and 6 for the 6-sided die and red (r), blue (b), and yellow (y) for the 3-color spinner. identify the sample space for this experiment
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Question 1155820: an experiment is performed where a 6-sided die is rolled and then a 3-color spinner is spun. the possible outcomes for each event are 1,2,3,4,5 and 6 for the 6-sided die and red (r), blue (b), and yellow (y) for the 3-color spinner. identify the sample space for this experiment
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Question 1155834: Drawing a card Four cards are drawn from a deck without replacement,find these probabilities. a)all cards are jacks b) all cards are black cards c) all cards are hearts
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Question 1155829: In a survey, 25 people were asked how much they spent on their child’s last birthday gift. The results were roughly bell shaped with a mean of $38 and a standard deviation of $2. Find the margin of error at a 99% confidence level.
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Question 1155816: If 2,000 card-carrying members of a political party were randomly sampled, and 1,600 said they wanted a change in leadership, what is the 95% confidence interval for the true population percentage for all of the card-carrying members of the party who wanted a change in leadership?

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Question 1155812: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yields no more than two defective pens.
(a) Find the probability that this shipment is accepted if 5% of the total shipment is defective. (Use 3 decimal places.)

(b) Find the probability that this shipment is not accepted if 15% of the total shipment is defective. (Use 3 decimal places.)

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Question 1155812: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yields no more than two defective pens.
(a) Find the probability that this shipment is accepted if 5% of the total shipment is defective. (Use 3 decimal places.)

(b) Find the probability that this shipment is not accepted if 15% of the total shipment is defective. (Use 3 decimal places.)

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Question 1155839: A bag contains 5 red balls and 3 blue balls. If 5 balls are selected at random, find the probability of selecting 5 red balls.
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Question 1155841: Suppose a life insurance company sells a ​$300 comma 000 ​one-year term life insurance policy to a 24​-year-old female for ​$220. The probability that the female survives the year is 0.999488. Compute and interpret the expected value of this policy to the insurance company.
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Question 1155771: The daily salaries of substitute teachers for 8 local school districts are shown below. Find the
95% confidence interval for the mean of the salaries.
$60 $56 $60 $55 $70 $55 $60 $55

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Question 1155458: n a random sample of 9 cell​ phones, the mean full retail price was ​$505.20 and the standard deviation was ​$191.00. Further research suggests that the population mean is ​$428.67. Does the​ t-value for the original sample fall between minust 0.99 and t 0.99​? Assume that the population of full retail prices for cell phones is normally distributed.
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Question 1155868: Assume the random variable X is normally distributed with mean 50 and standard deviation 7. Find the 80th percentile.
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Question 1155869: Assume that a sample is used to estimate a population mean. Find the 90% confidence interval for a sample of size 34 with a mean of 42.8 and a standard deviation of 13.6. Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place.)
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Question 1155897: 100 people get in $1 dollar. How many men, women, and children get in for $1 dollar? 2 cent for men, 5 cent for women, 1 cent for every 10 kids
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Question 1155901: a man tosses two fair of dice .what is conditional probibility that the sum of two dices will be 10. th esum is odd. the sum is greater then 6.the two dices had same outcome
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Question 1155906: A golf ball is selected at random from a golf bag. If the golf bag contains 6

orange

​balls, 6

red

​balls, and 7

black

​balls, find the probability of the following event.
The golf ball is orange

or red
.

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Question 1155919: A machine is set to fill a small bottle with 9.0 grams of medicine. A sample of eight bottles revealed an average of 8.8 grams and a standard deviation of 0.23 grams.
(a) Compute the 95% confidence interval for the population mean µ.
(b) At 1% significance level, should we conclude that the mean weight is below 9.0 grams?
Specify your H0 and H1, the test you use, and your conclusions.

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Question 1155915: I pay $2 to play a game. With probability 0.002 I win $250, with probability 0.004 I win $100, and with probability 0.010 I win $50. Find my expected Winnings.
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Question 1155903: A study of 420,098 cell phone users found that 139 of them developed cancer of the brain or nervous system. Prior to this study of cell phone​ use, the rate of such cancer was found to be 0.0206​% for those not using cell phones. Complete parts​ (a) and​ (b).
a. Use the sample data to construct a 95​% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.
nothing​%less thanpless than
nothing​%

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Question 1155904: A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 90​% confident that his estimate is in error by no more than one percentage pointquestion mark Complete parts​ (a) through​ (c) below.
​a) Assume that nothing is known about the percentage of computers with new operating systems.
nequals
nothing
​(Round up to the nearest​ integer.)

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Question 1155876: Assume the random variable X is normally distributed with mean 50 and standard deviation 7. Compute the probability P(34< x < 59)
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Question 1155894: A company has hired 10 new employees, 7 men and 3 women. The company must assign 5 of them to the morning shift, 3 of them to the swing shift, and the rest of them to the graveyard shift.
Find the probability that at least one man is assigned to the swing shift?

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Question 1155506: Two marbles are drawn one after the other with replacement from a bag that contains:
9 red marbles, 8 blue marbles, and 3 green marbles.
Find the probability of the following events.
(a) One red marble and one green marble are drawn in either order.
The probability is :
(b) Two blue marbles are drawn.
The probability is :
(c) At least one marble is drawn that is not blue.
The probability is :
(d) The second marble is green if we know that the first marble is green.
The probability is:

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Question 1155928: Assume newborn baby weights are Normally distributed with a mean of 7.6lbs and a variance of 0.6 lbs. Find the probability a newborn baby weighs over 10lbs or below 8 lbs.
I know I have to use a z table, but I don't exactly know how

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Question 1155928: Assume newborn baby weights are Normally distributed with a mean of 7.6lbs and a variance of 0.6 lbs. Find the probability a newborn baby weighs over 10lbs or below 8 lbs.
I know I have to use a z table, but I don't exactly know how

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

Question 1155516: The scores on a psychology exam were normally distributed with a mean of 57 and a standard deviation of 8 . About what percentage of scores were less than 49
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Question 1155958: Find z such that 11% of the area under the standard normal curve lies to the right of z. (Round your answer to two decimal places.)
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Question 1155971: A magazine employs two proofreaders who carefully inspect every article. The probability that the first proofreader will miss an error is 0.01. If the error passes the first​ inspector, the probability that the second proofreader will miss an error is 0.1. What is the probability that an error will be missed by both​ proofreaders?
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Question 1155984: two dice are rolled. Find the odds that the score on the dice is 6.
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Question 1156016: If the is choseb at random from the english alphabet find the probability that the letter is somewhere ahead of the letter J
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Question 1156031: This one just confuses me in the questions it asks and how to write them out
A fish tank contains 4 large guppies, 8 small guppies, 4 large angelfish, and 4 small angelfish.
a) Find P(guppy | large). Give as a reduced fraction or exact decimal. _
b) Find P(guppy). Give as a reduced fraction or exact decimal. _

c) Are the events guppy and large independent? Type yes or no _
On your paper, justify your answer.

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Question 1156030: I just don't know where to start and how to complete this problem
Events A and B are independent. Find P(A and B) when P(A) = 65% and P(B) = 24%.
P(A and B) = _
Events A and B are independent. Find P(A and B) when P(A) = 65% and P(B) = 24%.

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Question 1156030: I just don't know where to start and how to complete this problem
Events A and B are independent. Find P(A and B) when P(A) = 65% and P(B) = 24%.
P(A and B) = _
Events A and B are independent. Find P(A and B) when P(A) = 65% and P(B) = 24%.

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Question 1156029: I thought I understood this but I don't know where to multiply at.
In one class, 87% of the students in a class studied for a test. Of these, 80% passed the test.
Of the students who did not study, 60% passed.
a) Represent these probabilities with a complete tree diagram on your paper. Then, type what goes in the color boxes here.

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Question 1156018: A particular area of Florida near the Gulf of Mexico is periodically hit by hurricanes. The chance of that happening in any given year is 0.13.
What is the chance that the county in Florida would be hit by two hurricanes in the same​ year?

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Question 1156036: Please help me find the confidence intervals for this problem.

n1= 35 n2= 40
x1= 2.32 x2= 2.66
s1= 0.83 s2= 0.55
0.10 significance level

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Question 1156005: Assume the mean height of soldiers to be 68.22 inches with a variance of 10.8 inches^2. How many soldiers in a regiment of 1000 would you expect to be (i) over six feet tall (ii) below 5.5 feet? Assume height to be normally distributed. given P(0
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Question 1155754: Question 41 pts
Approximately 37% of people in the United State have a blood type of O+. Assume that a sample of size 156 is drawn and the proportion \hat pp ^ of individuals in the sample with type O+ blood is calculated.
Find the probability that sample proportion is within 0.04 of the true population proportion.

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Question 1156058: A random sample of 20 amounts lost by gamblers who took a bus to an Atlantic City casino has a mean of​ $189. Assuming that sigma σ ​= $87, construct an 98% confidence interval.

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Question 1156069: Two marbles are selected at randomly from a box containing 5red,7white and 8blue marbles one after the other without replacement. Draw a probability tree diagram and find the probability that:
1.both are red
2.one is white and the other is blue
3.both are the same color

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Question 1156139: Find the equation of the least-squares regression line ŷ and the linear correlation coefficient r for the given data. Round the constants, a, b, and r, to the nearest hundredth.
{(2, −7), (3, −11), (6, −12), (7, −13), (9, −14)}
ŷ =

r =

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Question 1156138: Round each z-score to the nearest hundredth.
A data set has a mean of
x = 214
and a standard deviation of 48. Find the z-score for each of the following.
(a)
x = 200
(b)
x = 224
(c)
x = 300
(d)
x = 100

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Question 1156165: Of 150 people, 60 are men and 90 are women, 30 of the men and 60 of the women
read news paper daily. A person is selected at random from the lot. What is the chance that selected would be a man or read newspaper?

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

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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