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

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Question 1119070: A carton of 18 lightbulbs includes 5 that are defective. If two bulbs are drawn at random, what are the probabilities that

(a) neither bulb will be defective




(b) exactly 1 bulb will be defective




(c ) both bulbs will be defective



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Question 1119069: . A bowl contains 33 red beads, 11 white beads, 9 blue beads, and 15 black beads. If one bead is drawn at random, what are the probabilities of getting

(a) a red bead



(b) a bead that is white or black



C) a bead that is neither red nor black


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Question 1119068: . An apartment building has 20 two-bedroom apartments and 8 three-bedroom apartments. If 4 apartments are chosen at random to be redecorated, what are the probabilities that
a) All will be two-bedroom apartments ?




(b) 2 will be two-bedroom apartments and 2 will be three-bedroom apartments ?







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Question 1119064: Assume that the heights of men are normally distributed with a mean of 67.867.8 inches and a standard deviation of 2.82.8 inches. If 6464 men are randomly​ selected, find the probability that they have a mean height greater than 68.868.8 inches. Round to four decimal places.
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Question 1119062: A physical fitness association is including the mile run in its​ secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450450 seconds and a standard deviation of 6060 seconds. Between what times do we expect most​ (approximately 95%) of the boys to run the​ mile?
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Question 1119060: Assume you have applied to two different universities (let's refer to them as Universities A and B) for your graduate work.
In the past, 25% of students who applied to University A were accepted, while University B accepted 35% of the applicants.
Assume events are independent of each other.
Give all the answers as DECIMAL NUMBERS!
a. What is the probability that you will be accepted in both universities?


b. What is the probability that you will be accepted to at least one graduate program?


c. What is the probability that one and only one of the universities will accept you?

d. What is the probability that neither university will accept you?

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Question 1118918: #19 Suppose X is a random variable with mean μ and standard deviation σ. If a large number of trials is observed, at least what percentage of these values is expected to lie between μ − 2σ and μ + 2σ? (Round your answer to the nearest whole number.)
at least %

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Question 1118915: #10: Use the appropriate normal distribution to approximate the resulting binomial distribution.
A basketball player has a 80% chance of making a free throw. (Assume that the throws are independent of each other.) What is the probability of her making 95 or more free throws in 120 trials? (Round your answer to four decimal places.)

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Question 1118839: Find the indicated probability using the standard normal distribution.
P(z<-2.88 or z>2.88)=

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Question 1119061: Assume you have applied to two different universities (let's refer to them as Universities A and B) for your graduate work.
In the past, 25% of students who applied to University A were accepted, while University B accepted 35% of the applicants.
Assume events are independent of each other.
Give all the answers as DECIMAL NUMBERS!
a. What is the probability that you will be accepted in both universities?

b. What is the probability that you will be accepted to at least one graduate program?

c. What is the probability that one and only one of the universities will accept you?
d. What is the probability that neither university will accept you?

Click here to see answer by ikleyn(52756) About Me 

Question 1119136: Suppose we want to determine the (binomial) probability (p) of getting 4 heads in 10 flips of a 2-sided coin. Using the Binomial Table in the appendix of the text, what values of n, x and p would we use to look up this probability, and what would be the probability?
Click here to see answer by greenestamps(13195) About Me 

Question 1119156: there are 6 people who will sit in a row but out of them james will always be left of of esther and john will always be right of esther. in how many ways can such arrangement be done?
Click here to see answer by Theo(13342) About Me 

Question 1119032: Suppose a baseball pitcher throws fastballs 80% of the time and curveballs 20%
of the time. Suppose a batter hits a home run on 8% of all fastball pitches, and on 5%
of all curveball pitches. What is the probability that this batter will hit a home run on
this pitcher’s next pitch?

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Question 1118905: The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 21 minutes.
What is the probability that washing dishes tonight will take me between 13 and 19 minutes?

Click here to see answer by Theo(13342) About Me 
Question 1118905: The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 21 minutes.
What is the probability that washing dishes tonight will take me between 13 and 19 minutes?

Click here to see answer by ikleyn(52756) About Me 
Question 1118905: The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 21 minutes.
What is the probability that washing dishes tonight will take me between 13 and 19 minutes?

Click here to see answer by greenestamps(13195) About Me 

Question 1119167: Suppose that the value of a stock varies each day from $9.82 to $22.17 with a uniform distribution.
Find the upper quartile; 25% of all days the stock is above what value? (Enter your answer to the nearest cent.)

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

Question 1119228: Three unbiased coins are tossed
a) draw a diagram showing all possibilities
b) find the probability of obtaining at least one tail

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Question 1119230: A bag contains five red and four blue marbles. Two are drawn together from the bag. Find the probability that
a) they are both red
b) they are both red if it is known that one marble is red

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Question 1119242: A pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is chance that the pet store gets exactly one blue parakeet.
Click here to see answer by Boreal(15235) About Me 

Question 1119229: A bag contains 2 red, 1 black and 1 white ball. Peter selects one ball from the bag. He then selects a second ball but does not replace the first ball before the second ball is chosen.
a) draw a diagram showing all possibilities
b) find the probability that i) both balls selected are red ii) at least one selected ball is red
c) What is the probability that Peter had two red balls if it is known that at least one ball was red?

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

Question 1119225: f you want to be
95
95​% confident of estimating the population proportion to within a sampling error of
plus or minus 0.08 comma
±0.08, what sample size is​ needed?

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Question 1119268: A bag contains 2 red, 1 black and 1 white ball. Peter selects one ball from the bag. He then selects a second ball but does not replace the first ball before the second ball is chosen.
a) draw a diagram showing all possibilities
b) find the probability that i) both balls selected are red ii) at least one selected ball is red
c) What is the probability that Peter had two red balls if it is known that at least one ball was red?

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Question 1119265: the contents of urns i ii and iii are as follows
Urn 1 = 1 1 1
Urn 2 = 2 1 1
Urn 3 = 4 5 3
One urn is chosen at random and two balls are drawn they happen to be white and red. What is the Probability that they come from urn 2 & 3?
kindly send me as soon as possible tomorrow my Stats paper

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Question 1119274: z = 1 is what percentile?

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Question 1119284: When two dice are rolled find the probability of getting:
21. A sum greater than 8




22. A sum that is divisible by 3

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Question 1119219: A study found that 45% of the embryo transfers performed in assisted reproductive technology (ART) procedures resulted in pregnancies.
Twenty-four percent of the ART pregnancies resulted in multiple births.
(a) Find the probability that a randomly selected embryo transfer resulted in a pregnancy and produced a multiple birth.
(b) Find the probability that a randomly selected embryo transfer that resulted in a pregnancy did not produce a multiple birth.

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Question 1119282: For each of the cases below, involving areas under the standard normal curve, decide whether the first area is bigger, the second area is bigger, or both areas are equal.
(a) The area to the left of z = 0, or the area to the right of z = 0.1





(b) the area between z = -0.3 and 0.3, or the area between z = -0.5 and 0.5


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

Question 1119280: . Find the probabilities that a random variable will take on a value between 10 and 20 given that it has a normal distribution with:
(a) Mean = 10 and s = 5





(b) Mean = 20 and s = 10

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Question 1119311: The Harris family and the Richardson family each used their sprinklers. The water output rate for the Harris family's sprinkler was 30L per hour. The water output rate for the Richardson family's sprinkler was 40L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of
2000L. How long was each sprinkler used?
Harris family:
Richardson family:

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Question 1119310: The Harris family and the Richardson family each used their sprinklers. The water output rate for the Harris family's sprinkler was 30L per hour. The water output rate for theRichardson family's sprinkler was 40L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of
2000L. How long was each sprinkler used?
Harris family:
Richardson family:

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Question 1119283: Find the area under the standard normal curve which lies
(a) to the left of 0.47
(b) to the right of z = -0.06
(c) to the right of z = 2.53
(d) to the left of z = -1.31
(e) between z = 0.72 and z = 1.59
(f) between z = -0.11 and z = 2.48

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

Question 1119303: Any Help with this question is much appreciated!
A recent article in The Wall Street Journal entitled” As Identity Theft Moves Online, Crime Rings Mimic Big Business” states that 39% of the consumer scam complaints by American consumers are about identity theft. Suppose a random sample of 90 complaints is obtained. Of these complaints, 40 were regarding identity theft. Based on these sample data, what conclusion should be reached about the statement made in the Wall Street Journal? (Test using  (alpha) = 0.10).
Thank You!

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Question 1119337: Determine the written description of the complement of the given event.
When fivefive job applicantsjob applicants are examined for a certain abilityexamined for a certain abilitycomma, nonenone of them testtest positivepositive.

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Question 1119166: The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected.
If P(x > c) = 0.352 , find c.

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Question 1119301: The director of state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a simple random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750.

a. State the appropriate null and alternative hypotheses.
b. Assuming the population standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the critical value
(stated in dollars)?
c. Referring to your answer in part b, what conclusion should be reached with respect to the null hypothesis?
d. Referring to your answer in part c, which of the two statistical errors might have been made in this case? Explain.

Thank You!

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Question 1119286: You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 99.5% confident that you estimate is within 0.5% of the true population proportion. How large of a sample size is required?
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Question 1119281: Find z if

(a) the normal curve area between 0 and z is 0.4884




(b) the normal curve area to the right of z is 0.8665

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Question 1119199: four tickets are drawn from tickets number 1-30 inclusive. Determine the probability that the tickets marked 1 and 2 are among the four
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Question 1119189: Find the mode from the following data with the help of the formula :
Size 8 10 12 14 16 18 20 22 24
Frequency 3 5 1 7 8 8 4 2 3

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Question 1119128: A fair die is tossed. Consider events A = {2, 4, 6}, B = {1, 2}, C = {1, 2, 3, 4}. Find:
1. P(A and B) and P(A or C)
2. P(A|B) and P(B|A)
3. P(A|C) and P(C|A)
4. P(B|C) and P(C|B)

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Question 1119351: For each of these tell me if they are mutually exclusive. If they are not then is there anything you could do to make them so? please help me understand this im confused....
1. Eye color (blue, brown)
2. Number of siblings (only child, 1, 2, 3, 4)
3. Smoking (smoker, non smoker)
4. Degree earned (none, bachelors, masters, Ph.D.)

Click here to see answer by Floppy_Orca(1) About Me 
Question 1119351: For each of these tell me if they are mutually exclusive. If they are not then is there anything you could do to make them so? please help me understand this im confused....
1. Eye color (blue, brown)
2. Number of siblings (only child, 1, 2, 3, 4)
3. Smoking (smoker, non smoker)
4. Degree earned (none, bachelors, masters, Ph.D.)

Click here to see answer by ikleyn(52756) About Me 

Question 1119354: You buy a raffle ticket that cost you $5. There are 200 total tickets sold for this raffle. If your ticket is drawn first, you win the grand prize of $500. If your ticket is drawn 2nd you win $50, and if your ticket is drawn 3rd you win $10. What is your expected "winnings" for this raffle?
Click here to see answer by Boreal(15235) About Me 

Question 1119353: The results of a survey of the news gathering habits of adults age 18-29 are displayed in the following table(not needed or shown)
The conclusion "Young adults generally do not get news from TV" is inaccurate for a variety of reasons. Which of the following is NOT a valid reason to reject the conclusion?
1. The chart is for primary sources only. TV could be used as a secondary source for news.
2. The conclusion about young adults is too vague, and the age of 'young adults' is not entirely clear.
3. The margin of error could be used to show this statement is false.
4. The sampling method is not specified.

Click here to see answer by Boreal(15235) 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, 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