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

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 593651: Here's my question: To play Wisconsin power ball, you select 5 different numbers from 1 through 59 and 1 power ball number from 1 through 39. The power ball can match a previously selected number.
So how many different ways are there to select all six numbers?
AND
What is the probability of matching all 6 numbers?
Click here to see answer by htmentor(1343)

Question 593649: Hello, so if i have 9 red socks and 4 blue socks in a drawer, and i draw a sock twice without replacement, what is the probability that i have a pair?

Click here to see answer by Edwin McCravy(20054)

Question 593496: Determine the mean and standard deviation of the data the does not include your teacher's question. Is the data normally distributed? Explain
Click here to see answer by richard1234(7193)

Question 593686: In the FAQ section of the Wisconsin Lottery website is the question, "If the overall odds of winning a prize on an instant ticket are 1 in 10, then how come when I bought 10 tickets I didn't win?"
How should I answer this question?
Side note: Even though the website uses the word 'odds' they are actually giving the probability.
Click here to see answer by richard1234(7193)

Question 593663: What is the probability of an even chance?
Click here to see answer by richard1234(7193)

Question 593870: The probability of going to a resort and winning a new car is 1 in 52,000.
If 5,000 people visit a resort, how many would be expected to win a new car?
Click here to see answer by stanbon(75887)

Question 593974: Show all the possible outcomes of tossing two coins Heads-H Tails T
Event 1 Event 2 Outcomes Write
First Coin Second Coin ? (?,?)
1. Heads (H) Tails (T) Heads - Tails (H,T)
Heads ( H) Heads- Heads H,H
2. Tails (T) Tails (T) Tails-Tails T,T
Heads (H) Tails-Heads T,H

3. How many possible outcomes are there altogether? is it 4
4. What is the probability of each outcome occurring? Don't know this answer
Click here to see answer by stanbon(75887)

Question 593921: Please help me solve this;46% OF ADULTS SAY CASHEWS ARE THEIR FAVORITE KIND OF NUT. YOU RANDOMLY SELECT 12 ADULTS AND ASK EACH TO NAME HIS OR HER FAVORITE NUT. FIND THE PROBABILITY THAT THE NUMBER WHO SAYS CASHEWS ARE THEIR FAVORITE NUT (A) EXACTLY THREE, (B) MORE THAN 2, AND (C) AT MOST TWO

Click here to see answer by stanbon(75887)

Question 594078: Just want to double check and make sure I'm doing this right. 5,7,10,9,5,3,1,0,1,2,3,1,0,6,7.
The mean is 60/15=4
Median=3
Mode=1
Click here to see answer by jim_thompson5910(35256)

Question 594092: the mode to 37,34,29,12,17,21,31,28,18,14,11

Click here to see answer by jim_thompson5910(35256)

Question 594161: There are 18 entrees available at a restaurant. From these, Archie is to choose 4 for his party. How many groups of entrees can he choose, assuming that the order of the entrees chosen does not matter?
Click here to see answer by jim_thompson5910(35256)

Question 594165: The mean height of a certain kind of plant is centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from . State the null hypothesis and the alternative hypothesis that we would use for this test.
Click here to see answer by jim_thompson5910(35256)

Question 594170: The mean height of a certain kind of plant is 130 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 130. State the null hypothesis and the alternative hypothesis that we would use for this test.
Click here to see answer by jim_thompson5910(35256)

Question 594224: There are eleven players on the basketball team. How many ways can a starting lineup of five players be chosen?
I did 11x5 and got 55 but I dont think that is right.
Click here to see answer by stanbon(75887)

Question 594139: What is the probability that a stock will show an increase in its closing price on five consecutive days?
Click here to see answer by stanbon(75887)

Question 594101: I am having a ton of trouble with this one please help...
1. Please show all of your work when answering the following:

I. Use Chebyshev�s theorem to find what percent of the values will fall between 201 and 345 for a data set with a mean of 273 and standard deviation of 18.

II. Use the Empirical Rule to find what two values 68% of the data will fall between for a data set with a mean of 216 and standard deviation of 15.
Click here to see answer by stanbon(75887)

Question 594234: If you have a spinner with 8 equal parts how do find:
P(factor of 15) and
P(multiple of 4)

Click here to see answer by stanbon(75887)

Question 594086: I am having issues with just this part of my course, can you help? Thank you.
1. Please show all of your work when answering the following:

I. Use Chebyshev�s theorem to find what percent of the values will fall between 201 and 345 for a data set with a mean of 273 and standard deviation of 18.

II. Use the Empirical Rule to find what two values 68% of the data will fall between for a data set with a mean of 216 and standard deviation of 15.
Click here to see answer by stanbon(75887)

Question 594024: 4. The Highway Safety Department wants to study the driving habits of individuals. A sample of 81 cars
traveling on the highway revealed an average speed of 67 miles per hour with a standard deviation of 9 miles per
hour.
a. Compute the standard error of the mean.
b. Determine a 99% confidence interval estimate for the speed of all cars.
Click here to see answer by stanbon(75887)

Question 594257: A family has five children. The probability of having a girl is 1/2. What is the probability of
having at least 4 girls?
Click here to see answer by stanbon(75887)

Question 594261: A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.1 ounces ounces of coffee per cup. If it dispenses more that that on average, the corporation may lose money, and if it dispenses less, the customers may complain.
Believing that the mean amount of coffee dispensed by the machine, , is different from 7.1 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 6.7 ounces and that the standard deviation is 0.5 ounces.

Click here to see answer by stanbon(75887)

Question 594422: A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event.
One die shows a 5, and the other is a number less than 3.
Click here to see answer by AnlytcPhil(1806)

Question 594394: A COMPANYS COMPUTER PASSWORDS MUST CONSIST OF 5 LETTERS WITH NO REPITITION OF LETTERS. HOW MANY DIFFERENT PASSWORDS ARE POSSIBLE?
Click here to see answer by stanbon(75887)

Question 594372: a student takes a 8- question, multiple-choice exam with 2 choices for each question and guesses on each question. find the probability of guessing at least 3 out of 8 correctly
Click here to see answer by stanbon(75887)

Question 594362: your odds in favor of winning a new car are 13 to 6. what is the probability you will win the car
Click here to see answer by stanbon(75887)

Question 594371: Mall security estimates that the average daily per-store theft is less than$250, but wants to determine the accuracy of this statistic. The company research takes a sample of 81 clerks and finds that X=$260 and s = $20
a) Test x =.05
B) CONSTRUCT A 95% cie of u
Click here to see answer by stanbon(75887)

Question 594546: Tom buys some packs of crayons for the class. The crayons come in packs of 5. How many crayons does Tom buy?

Click here to see answer by richwmiller(17219)

Question 594534: 3 out of 10 houses have no insurance if 6 houses are chosen at random what is the probability that exactly one will be uninsured
Click here to see answer by stanbon(75887)

Question 594624: 1*9-89*9632
Click here to see answer by Alan3354(69443)

Question 594508: 2 dice are rolled what are the odds that one will show an odd number and one will show an even number?
Click here to see answer by richard1234(7193)

Question 594668: for a daily lottery, a person selects a three-digit number. If the person plays for $1, she can win $500. Find the expectation. In the same daily lottery, if a person boxes the number 123, she will win $80. Find the expectation if the number 123 is played for $1 and boxed
Click here to see answer by edjones(8007)

Question 594656: If a person rolls doubles when she tosses two dice she wins $5. For the game to be fair, how much should she pay to play the game?
Click here to see answer by edjones(8007)

Question 594631: You are playing with an ordinary deck of 52 cards. What is the probability that you not draw a card lower than a 7 (Ace can be considered as a 1)?
Click here to see answer by edjones(8007)

Question 594633: a box has 15 batteries 8 of which are totally dead. You start picking batteries out 1 at a time, find the probability that 1 of the first 5 work
Click here to see answer by edjones(8007)

Question 594698: what is your budget if 10 percent of your budget is $103,162
Click here to see answer by edjones(8007)

Question 594734: Jane is cooking beans and rice for dinner. She has 2 cans of black beans, 6 cans of red beans, and 5 cans of garbanzo beans in her cupboard. If she grabs a can of beans without looking at the label, what is the probability of her making blacks beans and rice for dinner?
Click here to see answer by richwmiller(17219)

Question 356787: In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. The following is a random sample of six entertainment expenses (dinner costs for four people) from expense reports submitted by members of the sales force. $157, $132, $109, $145, $125, $139
a) Calculate x/- (should be - over x), s/2 (s squared), and s for the expenses data. In addition, show that the two different formulas for calculating s/2 give the same result.
b) Assuming that the distribution of entertainment expenses is approximately normally distributed, calculate estimates of tolerance intervals containing 68.26 percent, 95.44 percent, and 99.73 percent of all entertainment expenses by the sales force.
c) If a member of the sales force submits an entertainment expense (dinner cost for four) of $190, should this expense be considered unusually high (and possibly worthy of investigation by the company)? Explain your answer.
d) Compute and interpret the z-score for each of the six entertainment expenses.

Click here to see answer by msvees(1)

Question 595250: Toss a penny, nickel, dime and quarter together. How many heads/tails arrangements are possible? Of those, how many have two heads and two tails?
My attempts:
(2C1)*(2C1)*(2C1)*(2C1)=16 possible combinations
How can I find out how many combinations have 2 head and 2 tails? Am I on the right track?
Click here to see answer by jim_thompson5910(35256)

Question 595370: Three cards are drawn, without replacement, from a standard deck of fifty-tow cards. Find the probability of these events.
a). Getting three kings
b). Getting a ten, nine, and eight in order
c). Getting a diamon, heart, and club in order.

Click here to see answer by TommyBlade(2)

Question 595319: out of 9000 college students surveyed, 540 responded that they do not eat breakfast. what percent of students do not eat breakfast
Click here to see answer by TommyBlade(2)

Question 595423: Bob is moving and all of his CDs are mixed up in a box. Twelve CDs are rock, eight are jazz, and five are classical. If he reaches in the box and selects them at random, find each possibility.
A). P ( 1 classical, 2 jazz)
B). P ( 1 jazz, 2 rock)
C). P ( 2 rock, 2 classical)
Click here to see answer by stanbon(75887)

Question 595393: Forty percent of banks did not earn profits during 2003. The SEC selects two banks at random. Find the probability that neither of them earned profits in 2003.
Click here to see answer by stanbon(75887)

Question 595519: Mr Scott is rolling a cube with faces numbered from 1 through 6. What is the likelihood that mr Scott will roll an 8
Click here to see answer by edjones(8007)

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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 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36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 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46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 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