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

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Question 1079546: Need help with Margin of Error
Suppose you are told that a 95% confidence interval for the average price of a gallon of regular gasoline in your state is from $3.26 to $3.94. Use the fact that the confidence interval for the mean is in the form x − E to x + E to compute the sample mean and the maximal margin of error E. (Round your answers to two decimal places.)
x = $
3.60

Correct: Your answer is correct.
E = $
.68


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Question 1079542: the sum is 6 or 11
Click here to see answer by ikleyn(52754) About Me 

Question 1079582: ? Help with probability, please~
An experiment consists of tossing an unfair coin (59% chance of landing on heads) a specified number of times and recording the outcomes.
(a) What is the probability that the first head will occur on the second trial? (Use 4 decimal places.)

.5000

Incorrect: Your answer is incorrect.

Does this probability change if we toss the coin three times? What if we toss the coin four times?
The probability changes if we toss the coin four times, but does not change if we toss the coin three times.
The probability changes if we toss the coin three times, but does not change if we toss the coin four times.
The probability does not change for either three or four tosses.
The probability changes for both three and four tosses.
What probability distribution model do we use to compute these probabilities?
normal
geometric
binomial
poisson

(b) What is the probability that the first head will occur on the fourth trial? after the fourth trial? (Use 4 decimal places.)
P(4)
P(n > 4)

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

Question 1079640: An experiment consists of tossing a fair die and then a fair coin. What is the probability that an even number followed by a head occurs?
Click here to see answer by Boreal(15235) About Me 

Question 1079639: Suppose a coin is tossed 6 times, find the probability of obtaining between 4 and 6 heads inclusively.
Click here to see answer by stanbon(75887) About Me 

Question 1079651: Suppose you're on vacation. The probability that it is March and you're on vacation is 5%. What is the probability that you're on vacation given that the month is March?
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Question 1079653: An employer interviews 9 people for 4 customer service positions in a company, and 5 of the 9 people are women. If all 9 qualified, in how many ways can the employerr fill the customer service positions if exactly 1 a woman?

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

Question 1079575: In a sample of 1000 people,630 said they were most likely to sleep when at home sick with a cold or flu.Determine the proportion of people who sleep when at home sick with a cold?
b) in order to calculate a confidence interval for p it is neccessary to be able to approximate probability distribution of the number of people who sleep when at home sick with a cold or flu ising a normal distribution.calculate the following np and n(1-p)

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Question 1079654: Serial numbers for a product are to be made using 3 letters followed by 3 numbers. If the letter are to be taken from the first 8 letters of the alahabet with no repeats and the numbers are taken from the digits 0 through 9 with repeats possible, how many serial numbers can be generated?
Click here to see answer by Boreal(15235) About Me 

Question 1079602: How do I enter this in calculator, I feel like it should be any easy answer...
Assume that IQ scores are normally distributed, with a standard deviation of 14 points and a mean of 100 points. If 75 people are chosen at random, what is the probability that the sample mean of IQ scores will not differ from the population mean by more than 2 points? (Round your answer to four decimal places.)

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Question 1079600: need help with (c)
Given that x is a normal variable with mean μ = 44 and standard deviation σ = 6.8, find the following probabilities. (Round your answers to four decimal places.)
(a) P(x ≤ 60)

.9907

Correct: Your answer is correct.

(b) P(x ≥ 50)
-.8112
Incorrect: Your answer is incorrect.

(c) P(50 ≤ x ≤ 60)

.0093

Incorrect: Your answer is incorrect.


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Question 1079598: the FAA requires that comercial aircraft use for flying in instrument conditions must have two independents radios instead of one. assume that for a typical fly, the probability o radio failure is 0.0035. what is the probability a particular flight will be safe with at least one radio?
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Question 1079580: Just need help with p value?
A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who subscribe to Sporting News. A random sample of 86 urban residents showed that 11 subscribed, and a random sample of 97 suburban residents showed that 20 subscribed. Does this indicate that a higher proportion of suburban residents subscribe to Sporting News? Use a 1% level of significance.
What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)

-1.41

Correct: Your answer is correct.

(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

.1588

Incorrect: Your answer is incorrect.

tHANK YOU!

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

Question 1079686: In a survey conducted by a website, employers were asked if they had ever sent an employee home because they were dressed inappropriately. A total of 2756 employers responded to the survey, with 973 saying that they had sent an employee home for inappropriate attire. In a press release, the website makes the claim that more than one-third of employers have sent an employee home to change clothes.
Do the sample data provide convincing evidence in support of this claim? Test the relevant hypotheses using
α = 0.05.
For purposes of this exercise, assume that it is reasonable to regard the sample as representative of employers in the United States. (Round your test statistic to two decimal places and your P-value to four decimal places.)
z=

P-value=



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

Question 1079715: You have a bag of 5 red balls, 3 yellow, 4 blue and 3 green. You draw a tile, replace it, and draw another. What is the probability you will draw a yellow on both draws?
Click here to see answer by Alan3354(69443) About Me 

Question 1079727: In an ESP experiment, a subject is asked to guess randomly generated numbers from 1 to 10. In 900 guesses, the subject guesses correctly 100 times.
If the subject is merely guessing, he should guess correctly
90 times.
The standard error (SE) is 9.00
Compute the z-test statistic for 100.
1.11
Find the observed significance level or P-value of the statistic(answer in decimal form).
0.2665 this is incorrect any idea what I am doing wrong????????
Let's reject the null hypothesis if the P-value is less than 5 percent. In this problem, should you reject the null hypothesis that the subject is merely guessing and any variation is due to chance? Enter yes or no.
no

Click here to see answer by stanbon(75887) About Me 

Question 1079684: A random sample of n = 1200 observations from a binomial population produced x = 689.

(b) Calculate the test statistic and its p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.)
z =
p-value =

Click here to see answer by stanbon(75887) About Me 

Question 1079760: A coffee machine dispenses coffee according to a
normal distribution, with a mean of 8.4 ounces and
a standard deviation of 0.16 ounces. Find the
probabilities of the following events.
a. A cup is dispensed with less than 8 ounces.
b. A cup has at least 8.5 ounces.

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Question 1079743: In a binomial experiment with three trials, what is the probability of obtaining
the expected number of successes
a) When p =1/2?
b) When p = 1/3?

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Question 1079742: A coin is weighted so that heads is twice as likely to appear as tails. What is the probability of: Two heads in four tosses of the coin?
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Question 1079772: two cards are selected from 52 playing cards the first card is replaced before the second card is selected find the probability of selecting a heart and then selecting an ace

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Question 1079822: Use the confidence interval to find the margin of error and the sample mean.
(0.676, 0.820)

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Question 1079820: at the beginning of each month, the president of a small manufacturing company decides whether to spend a $1000 or $2000 on advertising for the month. suppose she makes a decision by tossing a coin.
a) what is the probability that she will spend $3000 on advertising during the first three consecutive months of this year?
b) what is the probability that she will spend more than $4000 on advertising during the first three consecutive months of this year?
c) what is the probability that she will spend more than $3000 on advertising for the three consecutive months of this year?

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Question 1079835: In how many ways can 2 red, 2 black, 3 white and 2 blue balls be selected from 4 red, 3 black, 4 white and 8 blue balls? In how many ways can they be arranged?
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Question 1079836: Weights of hummingbirds are normally distributed with a mean of 48 grams and a standard deviation of 3.5 grams. What is the probability that a randomly selected hummingbird weighs between 44 and 52 grams
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Question 1079809: A detective has a 1/7 chance of solving the case. His expenses will run up to $630. How much does he have to charge his client to break even. He works on contingency basis. No solution, no compensation.

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Question 1079588: 1) The depot is using a standard of 635 hours for a particular modification effort. You are to review the standard and determine whether it should be revised. After sampling 20 of these modifications you calculate a mean of 665 hours and a standard deviation of 45 hours. We are concerned that the hours might be higher or lower than the 635 hour standard. Test the standard at the .05 level of significance. Select the correct answer out of each pair of choices. (Carry intermediate calculations to three decimal places.)


The tp is 2.093
The tp is 1.729
The tc is 2.981
The tc is 13.333
We would reject the null hypothesis
We would fail to reject the null hypothesis
We would recommend using the existing standard.
We would recommend revising the standard.

I think the answer is tp=2.093. TC=2.981. I would reject the null hypothesis and would recommend revising the standard? Is this correct?

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

Question 1079817: Please supply the missing words in these sentences:
Each possible ordering of the outcomes of a simple experiment is a _________________.
When we observe the same set of objects (or persons) under a variety of different conditions, the experiment is said to be a __________________ ____________ design.

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Question 1079901: Please supply the missing words in these sentences:
Each possible ordering of the outcomes of a simple experiment is a _________________.
When we observe the same set of objects (or persons) under a variety of different conditions, the experiment is said to be a __________________ ____________ design.

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Question 1079918: If A and B are any two events, then P(A AND B) ≤ P(A OR B) True or False?
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Question 1079932: A spinner with
8 equally sized slices is shown below. The dial is spun and stops on a slice at random. What are the odds in favor of landing on a grey slice

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Question 1079940: Left-tailed test a = 0.1 n = 22
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Question 1079949: There is a stack of
10
cards, each given a different number from
1
to
10
. Suppose we select a card randomly from the stack, replace it, and then randomly select another card. What is the probability that the first card is an even number and the second card is less than
4
?

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Question 1079897: the times per week a student uses a lab computer are normally distributed with the mean on 5.9 hours and a standard deviation of 1.4 hours
find probability that the students uses the lab computer less than 3 hours per week
between 6 and 7 times a week
and more than 9 times a week

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Question 1079883: 1.Determine the probability distribution for the number of girls in a family with 4 children, in table form and graphical form. Assume that the probability of having a girl is 0.5 or 50%.
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Question 1079986: how many read science today if and only if, they read caravan
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Question 1079973: The setter on your school's volleyball team average 50 assists per match with a standard deviation of 9. How many standard deviations from the mean is an outing with 72 assists?
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Question 1079991: For a recent English exam, use the Normal mode N (73, 9.2) to find the score that represents the 60th percentile
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Question 1079953: The distribution of heights of adult men in the U.S. is approximately normal with mean 69 inches and standard deviation 2.5 inches. Use what you know about a normal distribution and the 68-95-99.7 rule to answer the following.
NOTE: If your answer is a percent, such as 25 percent, enter: "25 PERCENT" (without the quotes). If your answer is in inches, such as 10 inches, enter: "10 INCHES" (without the quotes and with a space between the number and the INCHES). If your answer is an interval, such as 14 to 15 inches, then enter: "14 TO 15 INCHES" (without the quotes). Do not use extra zeros and do not include a decimal point unless your answer is not a whole number. Your answer must be entered in the correct format.
(a) About what percent of men are between 69 and 74 inches?

(b) Fill in the blank: About 2.5 percent of all men are shorter than ________.

(c) Between what approximate heights do the middle 95 percent of men fall?

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Question 1079967: According to a​ newspaper, 30% of bicycles stolen in a certain country are recovered. Find the probability​ that, in a sample of 6 randomly selected cases of bicycles stolen in the​ country, exactly 5 out of 6 bikes are recovered.
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Question 1080006: A recent survey found that the weight of students on cambridge campus follows a normal distribution with a mean of 80kg and a standard deviation of 50kg.if one student is selected at random,find the probability that the weight of the student is
A) Greater than 80kg
B) Lower than 45kg
C) Between 50kg and 95kg
D) Between 40kg and 70kg

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Question 1080051: One percent of bits transmitted through a digital transmission are received in error. Bits are transmitted until the first error. Let X denote the number of bits transmitted until the first error. Find P(X=4)
Click here to see answer by Boreal(15235) About Me 

Question 1080049: Consider the following probability distribution: x: 0 1 2 3 4
p(x): 0.1 0.4 0.3 0.1 0.1
(a) Find the mean of the distribution.
(b) Find the variance.
(c) Find the standard deviation.

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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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