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

Question 563784: 35% of women consider themselves fans of proffesional baseball. You randonly selected six women and ask each if she considers herself a fan of proffesional baseball.
Construct a binomial distribution using n = 6 and p = .35
Click here to see answer by stanbon(75887)

Question 563766: 74% of the population subscribes to a newspaper. 46% of the population subscribes to a magazine. Assuming that these are independent events:
a) are these events mutually exclusive? why or why not?
b) Find the probability that a household doesn't subscribe to either
c) Find the probability that a household ONLY subscribes to the newspaper?
Click here to see answer by stanbon(75887)

Question 564035: Hello can you please assist me in answering this question.
Men's heights are normally distributed with mean 59.0 and standard eviation 2.8in.
Question: Marine Corps heigt requirement for men. The US Marine Corps requires that men have heights between 64 in. and 80 in.
(a) Find the percentage of men who meet the height requirements. Are many men denied the opportunity to become a Marine because they do not satisfy the height requirement.
(b) If the height requirements are changed so that all men are eligible except the shortest 3% and the tallest 4%, what are the new height requirements?
Click here to see answer by stanbon(75887)

Question 564017: Three members of your family (two parents and yourself) went to buy three cell phones. The phones come in three colors: red, blue and black. You all pick them randomly. What is the probability that all three phones will be red or blue?
Click here to see answer by stanbon(75887)

Question 564064: Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:

A)hou = 71 hau= 71 = null = 0.05
B)hou greater than27 and hau less than 27 null = 0.10
C)hou less than 60 and hau greater than 60 null = 0.01
Click here to see answer by stanbon(75887)

Question 564121: in how many ways can a sedan a coupe a sports car a station wagon and a van be parked in a row?
Click here to see answer by stanbon(75887)

Question 564135: The following observations have been arranged in ascending order . If the median of the data is 63, find the value of "x".
29, 32, 48, 50, x, x+2, 72, 78, 84, 95
Click here to see answer by stanbon(75887)

Question 564210: A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling. Can he conclude, at the .10 level of significance, that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree?

Sample size
Pine 40
Spruce 70
Mean trunk diameter (cm)
Pine 45
Spruce 39
Sample variance
Pine 100
Spruce 150
A. The data do not support the claim because the test value 1.29 is greater than 1.28.
B. The data support the claim because the test value 2.78 is greater than 1.28.
C. The data support the claim because the test value 2.78 is greater than 1.64.
D. The data do not support the claim because the test value 1.29 is less than 1.64.

Click here to see answer by stanbon(75887)

Question 564205: 1.)
Let event A be the event of drawing a number greater than 6 (including Face Cards, Ace is low).
Let event B be the event of rolling a 7 with two dice.
Let event C be the event of drawing a Queen.
a.) If a card is selected from a deck, find P(A).
b.) If two dice are rolled, find P(B).
c.) Find P(A and B).
d.) Find P(A or C).
e.) Are A and B dependent or independent events? Explain your answer.

Click here to see answer by stanbon(75887)

Question 564215: In 2006, the General Social Survey asked respondents whether they favored or opposed sex education in public schools. According to the survey results, 89% favored sex education in public schools. If two of the respondents are randomly selected, what is the probability that at least one favors sex education in public schools?
How do I solve this problem?
Thank you. Colleen
Click here to see answer by stanbon(75887)

Question 564244: How do you know how many classes to choose when making charts?
Click here to see answer by stanbon(75887)

Question 564294: Determine the number of three- member committees that can be formed from a club that contains 25 members. Show the calculations that leads to your answer.
Is
25 C 3
correct?
Click here to see answer by ad_alta(240)

Question 564279: Given that x has a poisson distribution with u=8, what is the probability that x=9?
P(9)= ______ (Round four decimal places as needed)
Click here to see answer by ad_alta(240)

Question 563780: 45% of adults say cashwes are they favorite kind of nut. you randonly selectec 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is A exactly 3, B at least 4 and C at most 2.
Click here to see answer by ad_alta(240)

Question 564366: how many different ways can i rearrange 26 apples in groups of 6 ?
Click here to see answer by ad_alta(240)

Question 564366: how many different ways can i rearrange 26 apples in groups of 6 ?
Click here to see answer by Edwin McCravy(20054)

Question 564427: ANY HELP WOULD MAKE A DIFFERENCE! thank you!!!

A medical researcher wishes to determine the percentage of females who take vitamins. He wishes to be 99% confident that the estimate is within 4% of the true proportion. How large should the sample size be?
Click here to see answer by stanbon(75887)

Question 564604: Given that x has a Poisson Distribution with u(mean)=9, what is the probability that x = 4?
Click here to see answer by ad_alta(240)

Question 564467: I've been stuck on this one forever!! Thank you so much tutors for your help!!
Suppose each month a household generates an average 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. If a household is selected at random find the probability of its generating between 25 and 31 pounds per month. Assume the variable is approximately normally distributed. Express your answer to the nearest hundredth of a percent.
Click here to see answer by richard1234(7193)

Question 564751: For the following scores, what is Σ(X + 1)?
Scores: A.2, b.0, c.4, d.2
I dont understand what Σ represents? I do understand that you do it lastly .
So would you start out as... but then where do I go from here?
A. Σ(2 + 1)
B. Σ(0 + 1)
C. Σ(4 + 1)
D. Σ(2 + 1)
thanks soo much for your help!

Click here to see answer by Theo(13342)

Question 564869: If the odds of winning a raffle are 2:229, what is the probability of winning?
Click here to see answer by ad_alta(240)

Question 564860: Which of these angles are complementary?Select one of the options below as your answer: A. 45o and 45o B. 63o and 117o C. 45o and 135o D. 90o and 45o
Click here to see answer by ad_alta(240)

Question 565006: if someone has 25 questions on a test and misses 24% how many questions do they miss?
Click here to see answer by scott8148(6628)

Question 565098: Use the Empirical Rule to find what two values 95% 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 kingme18(98)

Question 565123: 6 defects are observed in 283 unites produced, I need to determine the probability of obtaining units with zero defects (yield)

6/283=.021201
.021201
this is where i am stuck. is this binomial ?
Click here to see answer by stanbon(75887)

Question 565103: The percentile rank corresponding to an IQ score of 125. The answer is 95.25% but I need to know how to do the work. Thanks.
Click here to see answer by stanbon(75887)

Question 565141: There are 4 different seeds, 3 yellow and one green. What is the probability that 3 seeds chosen at random will include at least one yellow seed?
Click here to see answer by stanbon(75887)

Question 565140: The lifetime of a certain brand of battery is known to have a standard deviation of 16 hours. Suppose that a random sample of 90 batteries has a mean lifetime of 41.1 hours. Find a 95% confidence interval for the true mean lifetime of all batteries of this brand.
Click here to see answer by stanbon(75887)

Question 564991: Portly Polls plans on surveying fourth year about still had their original major. They need a 90% confidence level and a margin of error of 1% or less. How many students should be included in the survey?

Click here to see answer by stanbon(75887)

Question 442257: What are the big corporations doing with their wealth? One way to answer this question is to examine profits as percentage of assets. A random sample of 50 Fortune 500 companies gave the following information.
Profit as percentage
of assets 8.6-12.5 12.6-16.5 16.6-20.5 20.6-24.5 24.6-28.5
Number of
companies 14 16 7 6 7
Estimate the sample mean, sample variance, and sample standard deviation for profit as percentage of assets. (Round your answers to one decimal place.) x = % of assets
s2 =
s = % of assets

Click here to see answer by alinetest(1)

Question 565168: Good evening Tutors: I need help with the steps to solve this probability question
The property restoration company PuroServ is considering switching to new dehumidifiers. Their market research, considering the cost of the new machines and their efficiency, tells them that the switch would give them a 75% chance of making a $20,000 profit, a 5% chance of breaking even, and a 20% chance of losing $5,000. How much money does PuroServ expect to make with their new purchase?
Click here to see answer by stanbon(75887)

Question 564989: Veronica has observed 200 bicycles at an intersection and found that 80% did not make a complete stop. Veronica tells you that the margin of error was 4%. What was the confidence level of the study?
Click here to see answer by stanbon(75887)

Question 565239: In my stats class we are covering normal distributions. Find the percent of scores that are below 130 with a mean of 120 and a standard deviation of 15
Click here to see answer by jim_thompson5910(35256)

Question 565276: A package of seeds states that the probability of germination is 0.92. For a package containing 75 seeds, the mean and variance of the number of seeds germinating are?
Click here to see answer by jim_thompson5910(35256)

Question 360539: The following is a partial ANOVA table. Use the .05 significance level.
(a) How many treatments are there?
(b) What is the total sample size?
(d) From the information given above, fill in the blanks in ANOVA table below. Calculate the value of F also. (Round the values to the nearest whole number.)
Source Sum of
Squares Mean
Square
Treatment 2
Error 20
Total 500 11
(c) What is the critical value of F? (Round your answer to 2 decimal places.) .

(e) What is your decision regarding null hypothesis for the 0.05 significance level?
Decision: (Click to select)RejectDo not reject the null hypothesis

Click here to see answer by reddsfoxi(1)

Question 565266: Prove that nCr is less than or equal to n+1Cr+1
. Hint: Make use of the fact that if A ≤ B then A/B ≤1.
Click here to see answer by richard1234(7193)

Question 564862: Each question of a 5-question multiple choice exam has 4 possible answers. Suppose a student picks an answer at random for each question. Find the probability the student selects the correct answer on only the first question.
What is the formula I will use to solve this problem?
Click here to see answer by richard1234(7193)

Question 565349: The probabilities that the serviceability of a new laser printer will be rated very difficult, difficult, average, easy or very easy are 0.11, 0.16, 0.35, 0.28, 0.10 respectively. Find the probability that the serviceability of a new laser printer will be rated (i) difficult or very difficult. (ii) difficult, average or easy. and (iii) average or better.
Click here to see answer by Theo(13342)

Question 565398: If two dice are thrown and each face is equally likely to turn up find the probability of at least 7 dots in total. Please show me how you get the answer
Click here to see answer by stanbon(75887)

Question 565378: 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.

Click here to see answer by stanbon(75887)

Question 565331: a bag contains 3 red &7blue balls two balls are drawn at random without replacement if second selection is given to be red find probability that first is also red

Click here to see answer by stanbon(75887)

Question 565281: The length of time a customer must wait in line at the post office has approximately a normal distribution with a mean of 5.8 minutes and a standard deviation of 2.6 minutes. Find the probability that a customer will wait between 4 and 8 minutes?
Click here to see answer by stanbon(75887)

Question 565279: Determine P97, the ninety-seventh percentile of the standard normal distribution. Fine the z so that the area below is 0.9700.
Click here to see answer by stanbon(75887)

Question 565272: For a binomial random variable with n=6 and π=0.7, P(5)=?
Click here to see answer by stanbon(75887)

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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