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

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Question 1099743: Animal population densities are important to those who manage wildlife. This is particularly true when animals pose risks to humans. Managing the population of grizzly bears in Yellowstone National Park is one example. Grizzly bears roam Yellowstone Park, which is 3,472 square miles. Additionally, the bears roam a surrounding area that is 40% as large as Yellowstone. Although their territories overlap considerably, each bear needs at least 10 square miles to himself/herself to call home (US Geological Survey, 2011).
Calculate the total available land in and around Yellowstone for grizzly bears to roam. Round to the nearest square mile. 
mi2
Estimate the maximum number of bears that can be supported on the available land.
bears
If there are about 3 adult female bears for every 2 adult male bears, then approximately how many male bears can be supported in and around Yellowstone Park? How many female bears? 
males bears
female bears



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Question 1099443: Can someone please help me, I did the work but I’m unsure if I did it correctly. I got some strange answer for a) .00317 for b) .0976 c) .01807
Suppose a salesperson makes a sale on 25 percent of customers contacts. In a normal work week, the salesperson contacts 20 customers.
A. What is the probability that the salesperson will make no sales?
B. What is the probability that the salesperson will make at least two sales?
C. What is the probability that the salesperson will make two sales at most?

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Question 1099773:
The owner of Maumee Ford-Mercury-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.

Car Age(years) Selling Price($000) Car Age(years) Selling Price($000)
1 11 12.1 7 10 10.5
2 8 10.5 8 14 9.0
3 14 5.7 9 13 9.0
4 17 4.9 10 17 4.5
5 9 5.0 11 6 12.5
6 8 13.4 12 6 11.5

PictureClick here for the Excel Data File

a.
Determine the regression equation. Use the rounded slope value to compute the y-intercept. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)

a = ___

b = ___

b.
Estimate the selling price (in dollars) of a 7-year-old car. (Round your answer to the nearest dollar amount. Omit the "$" sign in your response.)

$____

c.
Interpret the regression equation (in dollars). (Round your answer to the nearest dollar amount. Omit the "$" sign in your response.)

For each additional year, the car decreases $ ___ in value.

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Question 1099816: P(z>-1) IM CONFUSED MY TEACHER GOT .8431 AND I GOT .8417 CAN YOU SHOW ME HOW TO SOLVE THIS
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Question 1099397: There are 9 different ice-cream flavors and 5 different fresh fruit juices in the coffee shop.
An experiment consists of choosing a scoop of ice-cream, then choosing a fresh fruit juice.
The total number of outcomes for this experiment is:

45

9

14

5

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Question 1099492: A student takes a 5 question multiple choice quiz with 4 choices for each question. If the student guesses at random on each question, what is the probability that the student gets exactly 3 questions correct?

0.022

0.066

0.088

0.176

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Question 1099406: A survey shows that 28% of all male teachers of a school wear size 9 shoes.What is the probability that a man selected at random wear size 9
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Question 1099488: The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample statistics from one experiment include 520520 peas with 134134 of them having yellow pods. Find the value of the test statistic.
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Question 1099842: A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.
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Question 1099881: A carnival operator is constructing a new game.
In this game, the player will place a bet. Then a ball is selecteded from an urn containing balls of three colours: 2 green balls, 4 red balls and 7 white balls.
If a red ball is drawn, the player wins 1$, if a green ball is drawn, the player wins 4$, and if a white ball is drawn the player wins nothing.
What should the carnival operator set the bet at such that on average he makes $0.50 profit a game? (That is, so the player loses $0.50)

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Question 1099906: 1.
2.
3.
4.
5.

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Question 1099903: 1.
2.
3.
4.

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Question 1099866: 48% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan.
Find the probability that the number of men that consider themselves baseball fans is exactly 5 at lease 6 less than 4

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Question 1099938: A test consists of 6 multiple choice questions, each having 5 possible answers, one of which is correct. Assume that you guess the answers to all 6. Find the probability of getting less than 2 correct.
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Question 1099949: find the probability that the student was female OR received a grade of "A". (Leave answer to four decimal places.)
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Question 1100006: 5 cards are drawn at random from a standard deck.
Find the probability that all the cards are hearts

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Question 1099939: A test consists of 6 multiple choice questions, each having 5 possible answers, one of which is correct. Assume that you guess the answers to all 6. Find the probability of getting less than 2 correct.
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Question 1100030: In the power ball lottery game, winning the jackpot requires that you select the correct five unique numbers between 1 and 58 inclusive (don't have to match the order) and, in a superset drawing, you must also select the correct single number between 1 and 22 inclusive. Find the probability of winning the jackpot.
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Question 1100085: If P(E)=0.59, P(F)=0.61, and P(E and F)=0.83 find P(E and F)

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Question 1100085: If P(E)=0.59, P(F)=0.61, and P(E and F)=0.83 find P(E and F)

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Question 1100100: When tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless with corresponding probabilities: 0.37, 0.42, 0.11, and 0.10. Ten plants are selected.
Find the probability that 5 will be tall and colorful, 2 will be tall and colorless, 2 will be short and colorful, and 1 will be short and colorless.

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Question 1100110: It's multiple choice questions (5)
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Question 1100114: I need help with this questions, it's all in 1
I'm confused
Two Bags contain marbles
bag 1: 16 red, 13 blue
bag 2: 11 red, 9 blue
Rules of the game
Player 1 takes 2 marbles from bag 1, no replacement
Player 2 takes 2 marbles from bag 2, with replacement
a) If player selects a marble from bag 1 what are the odds in favour of selecting a blue marble?
b) What is the probability that player 2 selects 2 blue marbles?
c) What is the probability that player 1 selects 2 blue marbles?
d) If a player selects 2 blue marbles then he/she wins. Is this a fair game, explain
e) If player 1's second marble is blue, what is the probability that his/her first marble was also blue?

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Question 1100111: From a standard deck of cards, 3 cards are selected. What is the probability that 2 are diamond and 1 are clubs?
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Question 1100111: From a standard deck of cards, 3 cards are selected. What is the probability that 2 are diamond and 1 are clubs?
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Question 1100123: In a survey of 79 people, 40 people said they liked eggs, 37 people said they liked toast, and 18 people said they liked neither. How many people like both eggs and toast?
A) 16 B) 61 C) 3 D) 48

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Question 1100122: A credit card company randomly generates temporary 4-digit pass codes for cardholders. What is the probablity that a pass code will consist of different even digits?
A) 25/144 B) 1/12 C) 1/80 D)3/250

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Question 1100121: Trouble with this question
If P(A) = O.41 then P(Ā)=
A) 0.59 B) 1.00 C) 0.26 D) 0.82

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Question 1100112: Teaghan plays basketball. She scored 18 of her 20 last free throws.
___ A) What are her odds in favour of her scoring a free throw?
___ B) What are her odds against of her scoring a free throw?
___ C) What is the probability of her scoring a free throw?
I put for A 18:20 and B 20:18

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Question 1100140: Could someone please correct my work to see if im doing this right?
A fishing magazine collected data and printed the following results:
If there is rain then the probability of catching a fish at Lake Blue is 80%, but if it doesn't rain then the probability of catching a fish at Lake Blue is 17%. The forecast for today is 68% chance of rain.
A) Draw a tree diagram
(sorry if it looks confusing)
Percent = 100%
80%
R - / 17% R
\ 83 R (not)

/68% R
R (not rain)
20%
\ 32% R(not)
b) What is the probability that it rained today and a fish was caught?
P(RR) = 0.20 x 0.68 = 0.136
c) What is the probability of catching a fish today?
P(R not R|R) = 0.20 x 0.68 = 0.136
d) If a person caught a fish, what is the that there was rain?
I don't get this question*
Thanks

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Question 1100075: There are 1000 juniors in a college. Among the 1000 juniors, 500 students are taking STAT200, and 600 students are taking PSYC300. There are 300 students taking both courses. Let S be the event that a randomly selected student takes STAT200, and P be the event that a randomly selected student takes PSYC300. (Show all work).
(a) Provide a written description of the complement event of (S OR P).
(b) What is the probability of complement event of (S OR P)?

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Question 1100178: An apartment building has 8 floors. If seven people get on the elevator on the first floor, what is the probability they all want to get off on different floors?
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Question 1100177: A building has 8 floors. Suppose 7 people got in the elevator on the ground floor and that each person gets off on the upper floors. What is the probability that they got off on different floors?


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Question 1100160: There are 45

members on the board of directors for a certain​ non-profit institution. If they must elect a​ chairperson, first vice​ chairperson, second vice​ chairperson, and​ secretary, how many different slates of candidates are​ possible?
There are how many different slates of candidates possible.
​(Simplify your​ answer.)

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Question 1100076: Mimi has eight books from the Statistics is Fun series. She plans on bringing two of the eight books with her in a road trip. How many different ways can the two books be selected?
(b) A combination lock uses three distinctive numbers between 1 and 30 inclusive. How many different ways can the sequence of three numbers be selected?

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Question 1100230: A family has 6 children. Assume that each child is as likely to be
a boy as it is to be a girl. Find the probability that the family
has 6 girls if it is known the family has at least one girl.

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Question 1100253: In testing a certain kind of heavy duty tire over a rugged terrain, it is found that 24.8% of these fail to complete the test run without blowout. Of the next 23 tires tested, find the probability that:
(Round your answers to four decimal places if necessary)
a. from 2 to 6 have blowouts;
b. fewer than 3 have blowouts;
c. more than 7 have blowouts.

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Question 1100251: An oil exploration firm is to drill 9 wells, with each having probability 0.15 of producing oil.
(Express your answers as fractions in simplest form or as decimals rounded to four decimal places.)
a. Find the expected number of wells that would produce oil.
b. Find the standard deviation of the number wells that would produce oil.

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Question 1100232: the mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day.
​(a) Determine the 14th percentile for incubation times.
​(b) Determine the incubation times that make up the middle 97​%.

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Question 1100199: assuming that all conditions are met to approximate a binomial probability distribution with the standard normal distribution, then to compute p(x >19) from the binomial distribution we must compute __________ as the normal approximation
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Question 1100187: Let X be normally distributed with mean µ = 20 and σ = 5. Find P(X ≥ 25) by converting X into a standard normal random variable.
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Question 1100335: There are 6 containers each containing balls with the numbers 1 - 50 printed on them. You will win 20 million dollars if you guess the correct numbers in the correct order. You make 10 guesses about which 6 numbers will be drawn. How likely are you to win the $20 million?
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Question 1100354: Help please and thank you
A fishing magazine collected data and printed the following results:
If there is rain then the probability of catching a fish at Lake Blue is 80%, but if it doesn't rain then the probability of catching a fish at Lake Blue is 17%. The forecast for today is 68% chance of rain.
a) What is the probability that it rained today and a fish was caught?
b) What is the probability of catching a fish today?
c) If a person caught a fish, what is the probability that there was rain?

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Question 1100250: In testing a lethal concentration of a chemical substance found in polluted water, it is found that a certain concentration will kill 27.8% of the fish that are subjected to it for 24 hours. If 17 fish are placed in a tank containing this concentration for 24 hours, find:
(Round your answers to four decimal places if necessary)
a. the probability that exactly 15 survived;
b. the probability that at least 14 survived;
c. the probability that at most 15 survived; and
d. the expected number of fish that survived.

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Question 1100379: the probability density function of the random variable X is given by :
f(x) ={█(@1/5 for2
Verify that the area under the curve is 1.
Find P(3 c) Find the expected value of the random variable X.


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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, 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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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