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

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Question 779793: A bag contains 4 red, 6 blue, 4 yellow, and 2 green marbles. Once a marble is selected, it is not replaced. Find the probability P(Blue,red.not green).
________________________________________
Is the answer: 6/16, 4/15, 12/14?

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Question 779792: If I roll 5 regular dice out of a cup (and continuously re-roll; meaning roll then pick up all the dice and restart, pick up / restart, etc.), what is the probability of getting "5 of a kind" within 1,296 attempts (including the 1,296th roll)?
I tried this:
x = Probability of NOT rolling "5 of a kind" within 1,296 attempts = (1295/1296)^1296≈0.37
Probability of rolling "5 of a kind" within 1,296 attempts = 1 - x ≈ 0.63

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Question 779788: A frequently held lottery sells 100 tickets at $1 per ticket every time it is held. One of the tickets must be a winner. A player has $50 to spend. To maximize the probability of wining at least one lottery, should he buy 50 tickets in one lottery or one ticket in 50 lotteries?
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Question 780109: A medical researcher says that at least 23% of adults are smokers. In a random sample 250 adults, 22.4% say they are smokers. At alpha=0.03, is there enough evidence to the reject the researcher's claim? What is critical value of zo? What is the standardized test static? What would be the correct conclusion of the test? Fail to reject or reject?

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Question 780109: A medical researcher says that at least 23% of adults are smokers. In a random sample 250 adults, 22.4% say they are smokers. At alpha=0.03, is there enough evidence to the reject the researcher's claim? What is critical value of zo? What is the standardized test static? What would be the correct conclusion of the test? Fail to reject or reject?

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Question 780180: A coin is tossed and a single 6-sided dice is rolled. Find the probability of landing on the head side of the coin and rolling 3 on the dice.
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Question 777851: There are 5 white balls, 8 black balls, and 1 red ball in a box. How many red balls would have to be added to the box for the probability of drawing a red ball to become 5/6?
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Question 778716: Find the requested probability.
P(A) if P(A) = 0.4

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Question 780229: What is the value of mode if mean is 25 and median is 25.5?
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Question 780674: The price-earnings (PE) ratios of a sample of stocks have a mean value of 14 and a standard deviation of 1.3. If the PE ratios have a bell shaped distribution, what percentage of PE ratios that fall between:

A. 12.7 and 15.3.
Percentage =
B. 11.4 and 16.6.
Percentage=

C. 10.1 and 17.9.
Percentage =

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Question 780549: bob has the four numbered cards below.one card is chosen at random. what is the probability that the card has a square number written on it ?
3 7 9 5

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Question 780423: A committee is to have four members. There are seven men and six women available to serve on the committee. How many different committees can be formed?
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Question 780871: How many four digit numbers can be formed from 0-9 if:
repetitions are allowed
the number is less than 5000 and repetitions are allowed?
the number is less than 5000 and no repetitions are allowed?
the number ends in 5 and repetition is allowed?
the number ends in 5 and repetition is not allowed?

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Question 780970: A sample of data has a standard deviation of 68. If you were to multiply all of the scores in the data set by factor of 55, what would the new standard deviation be?

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Question 781074: In San Francisco, 30% of workers take public transportation daily.
a. In a sample of ten workers. what is the probability that exactly three workers take public transportation daily?
b. In a sample of 10 workers, what is the probability that at least three workers take public transportation daily?

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Question 781088: Given the table of probabilities for the random variable x, does this form a probability distribution? Answer Yes or No.
x 5 10 15 20
P(x) 0.1 -0.3 0.50 0.70

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Question 780945: The number of words in the active vocabulary of children of a particular age is normally distributed with a mean of 3000 and a standard deviation of 500. Using the normal curve approximation rules, how many words would a child of this age have to know to be in the top 2%, the top 16%, and the top 98%?
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Question 781224: Heights of men on a baseball team have a bell-shaped distribution with a mean of 180 cm and a standard deviation of 9 cm. Using the empirical rule, what is the approximate percentage of the men between 162 cm and 198 cm?
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Question 781206: A box contains 3 red balls and 4 green balls. If two balls are randomly selected in sequence, what is the possibility that a red ball and a green ball are picked out of the box. State the rule for P(A&B) and then substitute the values and compute the answer.
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Question 781232: Heights of men on a baseball team have a bell-shaped distribution with a mean of 180 cm and a standard deviation of 9 cm. Using the empirical rule, what is the approximate percentage of the men between 171 cm and 189 cm?
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Question 781248: A nutritionist wants to determine whether people who regularly drink one protein shake per day have lower cholesterol than people in general. In the general population, cholesterol is normally distributed with μ = 190 and σ = 30. A person who has followed the protein shake regimen for two months is randomly selected, and his cholesterol is 135. The nutritionist reported this result as "p < .01". Is the nutritionist's claim accurate? Use the five steps of hypothesis testing to verify the nutritionist's claim.
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Question 781325: A fair six sided die is tossed. After it lands, the bottom face cannot be seen. What is the probability that the product of the visible numbers on the five faces is divisible by 12?
I started by doing all of the possibilities I could think of.
For Example: 1*2*3*4*5=120 120/12=10
2*3*4*5*6=720 720/12=60
3*4*5*6*1=360 360/12=30
4*5*6*1*2=240 240/12=20
5*6*1*2*3=180 180/12=15
6*1*2*3*4=144 144/12=12
After this I didn't know what to do.

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Question 781244: The general population (Population 2) has μ = 100 and σ = 8, and the cutoff Z score for significance in a study involving one participant is 1.64. If the raw score obtained by the participant is 110, what decisions should be made about the null and research hypotheses?
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Question 781403: mary paid c cents for apin and half as much for a belt. represent the number of cents she paid for the belt.
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Question 779603: 1. A supermarket manager has determined that the amount of time customers spend in the supermarket is approximately normally distributed with a mean of 45 minutes and a standard deviation of 6 minutes. Find the probability that:
a. A customer spends less than 48 minutes in the supermarket(3pts)



b. Customer spends between 39 and 43 minutes in the supermarket(3pts)

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Question 781563: What is the third term of (x + y)^9?
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Question 781567: What is the possible choices numbers from 1 thru 56. What be the would be the next selection starting from 2 9 26 45 47 and the next selection would be s single number would the selection from 1 thru 35 last was
11

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Question 781628: Explain why this is or not a probability distributions. x 1 2 3 4.
P(x) 0.4 0.3 0.4 -0.1

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Question 781591: The length of a certain kind of Colorado brook trout is normally distributed with a mean of 12.5 inches and a standard deviation of 1.2 inch. What minimum size limit should the Department of Natural Resources set if it wishes to allow people to keep 80 percent of the trout they catch?

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Question 781658: The mean value of land and buildings per acre from a sample of farms is $1700.00, with a standard deviation of $100.00. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 78. Use the empirical rule to estimate the number of farms whose land and buildings values per acre are between $1500.00 and $1900.00.
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Question 781660: The mean value of land and buildings per acre from a sample of farms is $1700, with a standard deviation of $100. The data set has a bell shaped distribution. Assume the number of farms in the sample is 78. Use the empirical rule to estimate the number of farms whose land and buildings values per acre are between $1500 and $1900.
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Question 781745: Problem 4)
This problem will introduce the learner into a technique called Analysis of Variance. For this course we will only conduct a simple One-Way ANOVA and touch briefly on the important elements of this technique. The One-Way ANOVA is an extension of the independent –t test that can only look at two independent sample means. We can use the One-Way ANOVA to look at three or more independent sample means. Use the following data to conduct a One-Way ANOVA:
Scores Group
1 1
2 1
3 1
2 2
3 2
4 2
4 3
5 3
6 3
Notice the group (grouping) variable, which is the independent variable or factor is made up of three different groups. The scores are the dependent variable.
Use the instructions for conduction an ANOVA on page 438 of the text for SPSS or Excel.
a) What is the F-score; Are the results significant, and if so, at what level (P-value)?
b) If the results are significant to the following: Click analyze, then click Compare Means, and then select one-way ANOVA like you did previously. Now click Post Hoc. In this area check Tukey. If there is a significant result, we really do not know where it is. Is it between group 1 and 2, 1 and 3, or 2 and 3? Post hoc tests let us isolate where the level of significance was. So if the results come back significant, conduct the post hoc test as I mentioned above and explain where the results were significant.
c) What do the results obtained from the test mean?



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Question 781733: Write out an answer to the following probability question, making sure to show all work (e.g., the initial formula used to set up the problem):
What is the probability of drawing three jacks from a deck of cards in three draws if you do not replace the cards before making the next draw?

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Question 781776: The diameter of an electric cable is normally distributed, with a mean of 0.8 inch and a standard deviation of 0.02 inch. What is the probability that the diameter will exceed 0.82 inch? (You may need to use the standard normal distribution table. Round your answer to three decimal places.)

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Question 781780: The number of bedrooms of homes in a certain community is shown on the table below.
Find the cumulative distribution for the table. (Use a value of 6 to stand for 6 or more bedrooms.)
Number of bedrooms
0
1
2
3
4
5
6 or more
Percent
5%
12%
29%
33%
14%
6%
1%
Cumulative
5%
17%
46%
79%
93%
99%
100%
Find the mean, median, and mode for the table. (If an answer does not exist, enter DNE. Round your mean to two decimal places.)
mean: bedrooms
median: bedrooms
mode: bedrooms

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Question 781756: Calculate the test statistic z given p= 0.15, p̂=0.20, n= 900. Which of these is the solution?
A) -3.96
B) -4.20
C) 3.96
D) 4.20

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Question 781762: 1. A salesman has a 60% chance of making a sale to any one customer. The behaviour of successive customers is independent. If two customers A and B enter, what is the probability that the salesman will make a sale to A or B.
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Question 781843: Suppose you go to a party with four Americans and four Canadians, none of whom you have met. How many people must you meet to be sure of meeting two Canadians?
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Question 781865: A salesman has a 60% chance of making a sale to any one customer. The behaviour of successive customers is independent. If two customers A and B enter, what is the probability that the salesman will make a sale to A OR B.
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Question 781835: Using a penny and a six-sided number cube:
88. P(heads)
89.P(even)
90.P(tails and 3)

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Question 781754: In a population analyzed, 11% of people preferred the 8am class. In a random sample of 160 students, the proportion is 0.10. What are the values of p and p̂?
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Question 782015: 14. A fair die is rolled 10 times. Compute the probability that a “one” appears exactly once.
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Question 782016: 16. Determine the critical region and critical values for z that would be used to test the null hypothesis H o: μ = 25 vs. Ha : μ ≠ 25, at the level of significance α = 0.10. Sketch a normal curve to display the results

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Question 782035: I need help figuring out the formula for this word problem:
"Suppose a university faculty is establishing a search committee to hire a new president and there are 150 Men and 50 Women and the Board of Trustees has suggested that they want exactly 2 women on the 5 person committee. Suppose the faculty insist on putting the names of all faculty in a hat and drawing out 5 at random. What is the probability that choosing the committee at random will result in a committee that is acceptable to the Board of Trustees."

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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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