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

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Question 1158853: A football player attempts five passes in overtime. Each pass attempt results in a completion, an incompletion, or a turnover.

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Question 1158855: A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone.
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Question 1158856: A bag contains three real diamonds and two fake diamonds. You randomly pick a diamond.
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Question 1158857: Two rooms in a house need to be painted. Each room can be painted white, yellow, or pink.
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Question 1159005: Random samples of size 36 are taken from an infinite population whose mean is 80 and standard deviation is 18. What are the mean and standard error of the sampling distribution of sample means?

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Question 1159080: A die is rollled 100 times with the following results.
Outcome: 1,2,3,4,5,6
Frequency: 15, 29, 9,12,12,23
Compute the experimental probability that the die comes up 2 or 3

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Question 1159103: If there are 5 blue marbles, 8 green marbles and 3 purple marbles in a bag, what is the probability of pulling out a blue marble if you put your hand in the bag and pulled out a marble at random?
Click here to see answer by Boreal(15235) About Me 

Question 1159102: What probability value would be needed to complete the following probability distribution?
x P(x)
-5 0.12
-1 0.19
0 0.14
1 ?
4 0.26

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Question 1159107: According to a recent survey, the salaries of assistant professors have a mean of 41,750 and a standard deviation of 7,000. Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn more than 48,000 . Round your answer to at least four decimal places.
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Question 1158983: In a speed-programming contest, the time (in minutes) to complete the first program was recorded for several participants. The data recorded is shown below: 2.8 3.3 5.6 3.7 2.8 3.4 2.5 4.8 2.9 3.6 4.4 4.0 5.2 3.0 4.8 Assume that this is a simple random sample. Based on this, answer the following questions.
A. What is the sample size for the above sample?
B. Calculate the sample mean for this data.
C. Calculate the sample median.
D. Compute the sample-variance
E. Compute the sample standard deviation.

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Question 1158986: Akhtar works in a call center. The probabilities that he will talk with
0, 1, 2, 3, 4, or 5 or customers during a certain 30-minute period are 0.03, 0.18, 0.24, 0.28, 0.10, and 0.17
respectively. Find the probability for the following questions for a 30-minute period
A. More than 2 customer calls are taken.
B. Maximum 4 customer calls are taken.
C. 4 or more customer calls are taken.

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Question 1159094: Q. In a massive attempt to compete with General Electric, the Acme light bulb company issued a new line of bulb. Acme took 100 bulbs from their new line, which had standard deviation of 140 hours. The mean measured lifetime was 1280 hours. Give 95 % C.I for the mean lifetime of Acme' bulbs.
Use level of significance as 5%.

Click here to see answer by Boreal(15235) About Me 
Question 1159094: Q. In a massive attempt to compete with General Electric, the Acme light bulb company issued a new line of bulb. Acme took 100 bulbs from their new line, which had standard deviation of 140 hours. The mean measured lifetime was 1280 hours. Give 95 % C.I for the mean lifetime of Acme' bulbs.
Use level of significance as 5%.

Click here to see answer by Alan3354(69443) About Me 

Question 1159065: Assume that the random variable x is normally distributed, with mean “mu” = 50 and standard deviation “sigma” = 7. Draw, share ( I mean shade), & compute the normal curve with the area corresponding to the probability of P(40 < x <65).
Click here to see answer by Boreal(15235) About Me 

Question 1159083: The EPA has reported that the average fuel cost for a particular type of car is $800 with a standard deviation of $80. Fuel cost is assumed to be normally distributed. If one of these cars is randomly selected, what is the probability that the fuel cost for this car exceeds $900?

Click here to see answer by Boreal(15235) About Me 

Question 1159093: Q# 3. It is hypothesized that the average diameter of the leaves of a tree is not less than 20 mm. To check this supposition a random sample of 40 leaves is selected and found that the average diameter of leaves is equal to 22 mm with variance of 2 mm. Test the hypothesis. level of significance is 5%.
Click here to see answer by Boreal(15235) About Me 

Question 1159006: The time it takes to assemble an electronic component is normally distributed with a mean of 17.2 minutes and a standard deviation of 3.1 minutes. What is the probability that it will take at least 20 minutes to assemble a component?

Click here to see answer by Boreal(15235) About Me 

Question 1159181: A fair dice with faces 1,2,3,4,5,6 is rolled twice.find the probability of obtaining a total score of 8 or 11 and at least 3.
Click here to see answer by ikleyn(52754) About Me 

Question 1159182: if two coins and a die are thrown at once,what is the probability of getting two heads and a six or one tail,one head and a three
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Question 1159183: if two coins and a die are thrown at once,what is the probability of getting two heads and a six or one tail,one head and a three
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Question 1159211: Suppose that 69% of all college seniors have a job prior to graduation. If a random sample of 50 college seniors is taken, approximate the probability that more than 37 have a job prior to graduation.
Use the normal approximation to the binomial with a correction for continuity.

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Question 1159223: a fair dice with faces 1,2,3,4,5,6 is rolled twice.find the probability of obtaining a total score of (a)8 or 11 (b)at least 3
Click here to see answer by ikleyn(52754) About Me 

Question 1159214: The distribution of scores on a standardized aptitude test is approximately normal with a mean of 520 and a standard deviation of 100 . What is the minimum score needed to be in the top 15% on this test?
Carry your intermediate computations to at least four decimal places, and round your answer to the nearest integer.

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Question 1159195: According to advertisement, a strain of soya beans planted on soil prepared with a specified fertilizer treatment has a mean yield of 500 bushels per acre fifty farmers plant the soya bean. The mean and variance for the sample of 50 farms are 485 and 10045. Does the data provide sufficient of evidence to indicate that the mean yield for soya bans is different from that advertised?
Click here to see answer by Boreal(15235) About Me 

Question 1159077: A statistics instructor at CCD claims that 70% of students use the contents from their Introduction to Statistics course in their future careers. You have some doubts about this claim and conduct a study of your own. You randomly survey 225 CCD graduates who took Introduction to Statistics and 160 say they have used content from their statistics course in their career.
At an α=0.10 level of significance, is there enough evidence to claim the proportion of students that will use statistics content in their career is different from 70%?
Write the appropriate hypothesis.
Perform the test using either the critical value method or the p-value method.
State the conclusion of the test and interpret it.

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Question 1159092: Use level of significance as 5% for all the questions where level of significance is not mention.
Q# 2. A random sample of 20 individuals from a large city gave a mean height of 68 inches with variance 4.5 inches. Test the hypothesis that the mean height of the individuals of the city is less than 68.5 inches.

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Question 1159095: Q: In July, 1969 the first man walked on the moon. Armstrong, Aldren and Collins brought back 64 rock samples. The rocks had an average Earth weight of 172 ounces. The sample standard deviation was 20 ounces. Find 99% C.I for the mean weight of rocks on the lunar surface.Use level of significance as 5%.
Click here to see answer by Boreal(15235) About Me 

Question 1159076: The speed limit on I-25 in Colorado was raised to 75mph in certain sections in 2002. The speed of 144 cars passing a checkpoint in one of these sections was collected this year. It was found that the cars were traveling with a mean speed of 80mph with a standard deviation of 3mph.
Conduct a hypothesis test at α=0.05 level of significance to see if this is enough evidence to show that drivers are still speeding (more than 75mph) on these sections of highway.
What is the appropriate hypothesis?
Perform the test using either the critical value method or the p-value method.
State the conclusion of the test and interpret it.

Click here to see answer by Boreal(15235) About Me 

Question 1159287: A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 45 miles and a standard deviation of 7 miles. Find the probability of the following events
A. The car travels more than 53 miles per gallon.
B. The car travels less than 37 miles per gallon.
C. The car travels between 37 and 48 miles per gallon.

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Question 1159286: The weights of bags of Maverick's Chocolate Candies are normally distributed with a mean of 4.9 ounces and a standard deviation of 0.07 ounces. What is the probability that a bag of these chocolate candies weighs less than 4.82 ounces? Round your answer to the nearest thousandth.
Click here to see answer by Boreal(15235) About Me 

Question 1159304: You are going to set up a stereo system by purchasing separate components. In your price range you find 5 different receivers, 8 different compact disc players, and 12 different speaker systems. If you want one of each of these components, how many different stereo systems are possible?
Click here to see answer by ikleyn(52754) About Me 

Question 1159303: Three balls are picked at random one by one from a box containing four white and eight black
balls. Find the following probabilities:
a. The first and third ball are white;
b. The third ball is white given that the first ball is white

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Question 1159311: 2)Let A and B be two events in a sample space. P(A) =0.6
and P(A′ ∩ B′) = 0.25.
Evaluate P(B) in the following cases:
a) A ⊂ B
b)A and B are independent.
c) A and B are disjoint.

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

Question 1159315: A manufacture of air-conditioning units purchases 70% of its thermostats from company A, 20% from company B, and the rest from company C. Past experience shows that 5% of company A’s thermostats, 1% of company B’s thermostats and 1,5% of company C’s thermostats are likely to be found to have a defective thermostat.
6.1 find the probability that company A supplied the defective thermostat. (8)
6.2 find the probability that company B supplied the defective thermostat. (8)

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Question 355589: If A and B are independent events, P(A) = 0.4, and P(B) = 0.6, find the probabilities below.
(a) P(A intersection B)
(b) P(A union B)

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Question 430376: You are given the probabilities below:
P(a) = 0.25
P(B) = 0.30
P(C) = 0.55
P(A and C) = 0.05
P(b and C) = 0
P(B|A) = 0.48
A.) Are A and B independent events? Why or Why not?
B.) Find P(A and B)
C.) Find P (A or B)
D.) Find P(A|B)
E.) Are B and C mutually exclusive events? Why or why not?
F.) Are B and C independent events? Provide mathematical proof.

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Question 1159332: Write an explicit rule that defines this (1, 3, 5, 7, 9)
sequence.
I wanted to double-check that I did this right is is a(n) = 1+2(10)

Click here to see answer by jim_thompson5910(35256) About Me 
Question 1159332: Write an explicit rule that defines this (1, 3, 5, 7, 9)
sequence.
I wanted to double-check that I did this right is is a(n) = 1+2(10)

Click here to see answer by ikleyn(52754) About Me 

Question 1159306: Many colleges require students to take a placement exam to determine which math courses they are eligible to take during the first semester of their freshman year. Of the 2938 freshmen at a local state college, 266 were required to take a remedial math course, 1468 could take a nonremedial, non-calculus-based math course, and 1204 could take a calculus-based math course.
Click here to see answer by greenestamps(13195) About Me 

Question 1159305: A pizza shop runs a special where you can buy a large pizza with one cheese, one vegetable, and one meat for $9.00. You have a choice of 7 cheeses, 11 vegetables, and 6 meats. Additionally, you have a choice of 3 crusts and 2 sauces. How many different variations of the pizza special are possible?
Click here to see answer by greenestamps(13195) About Me 

Question 1159326: Answer the following questions for a continuous random variable X with density function given below
𝑓(𝑥) =1/2, 𝑓𝑜𝑟 1 ≤ 𝑥 ≤ 3
A. Calculate the probability for random variable X 𝑃(𝑋 ≤ 1.6)
B. Derive the cumulative distribution function F(x)
C. Use the cumulative distribution function F(x) to evaluate P(2 < X < 2.5)

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Question 1159300: . A fair die is tossed 8 times. Determine the probabilities of the following events:
a. Event that 6 dots come up in exactly 5 of the 8 tosses
b. Event that 6 dots come up in at least 5 of the 8 tosses
c. Event that 6 dots come up only in the last 5 tosses

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Question 1159294: The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 3.5. Suppose 49 golfers played the course today. Find the probability that the average score of the 49 golfers exceed 76.
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Question 1159366: Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the​ 68-95-99.7 rule to find the following quantities.
a. The percentage of scores less than 100 is?
​(Round to one decimal place as​ needed.)
b. The percentage of scores greater than 120 is?
​(Round to one decimal place as​ needed.)
c. The percentage of scores between 60 and 120 is?
​(Round to one decimal place as​ needed.)

Click here to see answer by Boreal(15235) About Me 

Question 1159400: A petrol station sells, on the average, 14500 litters of petrol, per day with a standard deviation of 2500 litters. If a manager stocks 20,000 liters on a particular day, what is PROBABILITY that:
(i) At most 20,000 litters will be sold. (ii) More than 10,000 litters will be sold.

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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, 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