Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1191000: you have organized a donation drive for the victims of typhoon odette. you are preparing emergency preparedness kits to bring to this donation drive. you have 72 bottles of water and 96 cans of food, which you would like to distribute equally among the kits with nothing left over.
What is the greatest number of kits you can make?
How many bottles of water will be in each kit?
How many cans of food will be in each kit?
Click here to see answer by ikleyn(52754)   |
Question 1190999: you have organized a donation drive for the victims of typhoon odette. you are preparing emergency preparedness kits to bring to this donation drive. you have 72 bottles of water and 96 cans of food, which you would like to distribute equally among the kits with nothing left over.
Click here to see answer by ikleyn(52754) |
Question 1191055: You have a box of chocolates that contains 51 pieces of which 29 are solid chocolate, 12 are filled with cashews, and 10 are filled with cherries. All the candies look exactly alike. You select a piece, eat it, select a second piece, eat it, and finally eat one last piece. Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates.
Click here to see answer by greenestamps(13195)  |
Question 1191054: Suppose a bowl contains candies of various colors: 13 red, 9 blue, and 8 yellow. If two candies are chosen at random, find the probability that they are both red if they are chosen: You may round your answers to three decimals places.
A. with replacement (independent)
B. without replacement (dependent)
Click here to see answer by Solver92311(821)  |
Question 1191037: Suppose you have not attended classes or done any homework for a course in which you
are to write a four-question true/false quiz where each question has two choices. Therefore,
you have to guess on every question and have a 1/2 chance of getting each question correct.
a. What is the probability that you get a mark of 100% on the quiz?
b. What is the probability that you pass the quiz (ie, you get a mark of at least 50%)
Click here to see answer by Solver92311(821) |
Question 1191021: When a switch is closed current flows in a circuit (through the switch); when a switch is open,
current does not flow. Switches operate independently. Under prescribed conditions the
probability that a switch is closed is denoted by 𝑐. For each of the following arrangements, find
the probability that current flows from A to B.
Show all working.
(a) A-----[SW1]-----B
Click here to see answer by Solver92311(821) |
Question 1191057: According to the movie X-men, about 7% of the population in Oxnard has a particular genetic mutation. 790 people are randomly selected.
Find the mean (μ) and the standard deviation (σ) for the number of people with the genetic mutation in such groups of 790.
μ=__ (Please show your answers to 1 decimal place.)
σ=__ (Please show your answers to 1 decimal place.)
Click here to see answer by ikleyn(52754) |
Question 1191076: Toss a four-sided die twice. Role-playing games like Dungeons & Dragons use many different types of dice. Suppose that a four-sided die has faces marked 1, 2, 3, and 4. The intelligence of a character is determined by rolling this die twice and adding 1 to the sum of the spots. The faces are equally likely, and the two rolls are independent. What is the average (mean) intelligence for such characters? How spread out are their intelligences, as measured by the standard deviation of the distribution?
Click here to see answer by math_tutor2020(3816) |
Question 1191085: A local county has an unemployment rate of 4.7%. A random sample of 17 employable people are picked at random from the county and are asked if they are employed. Find the probability that exactly 5 in the sample are unemployed. (The distribution is a binomial. Round your answers to 4 decimal places.)
Click here to see answer by ikleyn(52754) |
Question 1191095: he patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.7 days and standard deviation of 2.1 days. Write your answers in percent form. Round your answers to the nearest tenth of a percent.
a) What is the probability of spending less than 9 days in recovery? __%
b) What is the probability of spending more than 4 days in recovery? __%
c) What is the probability of spending between 4 days and 9 days in recovery? __%
Click here to see answer by ikleyn(52754) |
Question 1191083: he body temperatures in degrees Fahrenheit of a sample of adults in one small town are:
97.9 99.8 98.2 97.3 97.4 98.1 97.7 96.9 99.7 99.9 99.6
Assume body temperatures of adults are normally distributed. Based on this data, find the 99% confidence interval of the mean body temperature of adults in the town. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places. Assume the data is from a normally distributed population.
99% C.I.
Click here to see answer by Boreal(15235)  |
Question 1191080: In a survey, 29 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $41.4 and standard deviation of $4.9. Estimate how much a typical parent would spend on their child's birthday gift (use a 99% confidence level). Give your answers to 3 decimal places.
Express your answer in the format of
¯
x
±
E.
$
±
$
Click here to see answer by Boreal(15235) |
Question 1191081: A researcher is interested in finding a 95% confidence interval for the mean number minutes students are concentrating on their professor during a one hour statistics lecture. The study included 121 students who averaged 37.2 minutes concentrating on their professor during the hour lecture. The standard deviation was 13.3 minutes. Round answers to 3 decimal places where possible.
a. To compute the confidence interval use a
?
distribution.
b. With 95% confidence the population mean minutes of concentration is between
and
minutes.
c. If many groups of 121 randomly selected members are studied, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population mean minutes of concentration and about
percent will not contain the true population mean minutes of concentration.
Click here to see answer by Boreal(15235) |
Question 1191084: Approximately 70% of all small businesses in Canada have a web site. 10 small businesses were randomly selected to see how many of them have a website. Assume a binomial distribution for the following questions.
Round all final answers to 3 decimal places.
(a) What is the number of independent trials?
(b) What is the probability of success during one independent trial?
(c) What is the probability that exactly 5 of the businesses will have a website?
(d) What is the probability that at least one of the businesses has a website?
Click here to see answer by Boreal(15235) |
Question 1191114: In a particular geographic region, 60% of the people are regular smokers, and evidence indicates that 10% of the
smokers have lung cancer. Find the percentage of people who are smokers and have lung cancer.
Click here to see answer by ikleyn(52754) |
Question 1191082: A researcher is interested in finding a 90% confidence interval for the mean number of times per day that college students text. The study included 100 students who averaged 37.6 texts per day. The standard deviation was 24.5 texts. Round answers to 3 decimal places where possible.
a. To compute the confidence interval use a
?
distribution.
b. With 90% confidence the population mean number of texts per day is between
and
texts.
c. If many groups of 100 randomly selected members are studied, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population number of texts per day and about
percent will not contain the true population mean number of texts per day.
Click here to see answer by Theo(13342)  |
Question 1191056: A researcher studying frogs is investigating the distance that a certain species of frog can jump. The jump-lengths are normally distributed with a mean of 90 inches and a standard deviation of 12 inches.
Use the Empirical Rule to answer the following questions.
a) What percent of frog-jumps of this species are less than 78 inches?
__%
b) What jump-lengths represent the middle 95% of frog jumps of this species?
From
___inches to ___inches
Click here to see answer by Boreal(15235) |
Question 1191043: Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher's hand. The data showed that the speeds of the fastballs are normally distributed with mean 92.12 mph and standard deviation 2.43 mph.
(d) Finding Values: A baseball fan wishes to identify the fastballs among the fastest 7% of all such pitches. Above what speed must a fastball be in order to be included in the fastest 7%? Round your answer to the nearest 0.1 mph.
Click here to see answer by Boreal(15235) |
Question 1191022: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.1 years, and standard deviation of 3.3 years.
The 6% of items with the shortest lifespan will last less than how many years?
Give your answer to one decimal place.
Click here to see answer by Boreal(15235) |
Question 1191134: Two-hundred students took a statistics class. Their professor creatively decided to give each of them their Z-score instead of their grade. Rachel got her Z-score of -0.2. She was wondering how well she did on the exam.
Click here to see answer by Boreal(15235) |
Question 1191131: . The sales in a store are normally distributed with a mean of $10,000 and a standard deviation of $2000.
a. What percentage of sales are greater than $13,000?
b. What percentage of sales are less than $8,000?
c. What percentage of sales are between $8,000 than $12,000?
Click here to see answer by Boreal(15235) |
Question 1191120: Hello, I have an assignment I've been scratching my head about.
Person A sends messages every 16 minutes, Person B - every 16 minutes, Person C - every 14 minutes. What is the probability of receiving at least ONE message in the span of 6 minutes? JUST ONE message in the span of 6 minutes? And JUST TWO messages in the span of 6 minutes?
Click here to see answer by greenestamps(13195) |
Question 1191023: Data from a state indicate that scores on the SAT test are normally distributed with a mean of 1044 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 20.9 and a standard deviation of 4.4. It is assumed that the two tests measure the same aptitude, but use different scales.
If a student gets an SAT score that is the 51 percentile, find the actual SAT score. Round answer to a whole number.
SAT score =
What would be the equivalent ACT score for this student? Round answer to 1 decimal place.
ACT score =
If a student gets an SAT score of 1451, find the equivalent ACT score. Round answer to 1 decimal place.
ACT score =
Click here to see answer by Boreal(15235) |
Question 1191042: A particular fruit's weights are normally distributed, with a mean of 255 grams and a standard deviation of 10 grams.
The heaviest 9% of fruits weigh more than how many grams?
Give your answer to the nearest gram.
Click here to see answer by Boreal(15235) |
Question 1190828: 12. It is given that 40% of the population support the birthday party. One hundred and fifty members of the population are selected at random. Use a suitable approximation to find the probability that more than 55 out of the 150 support the birthday party.
Click here to see answer by Boreal(15235) |
Question 1190978: In a random sample of 5 people, the mean driving distance to work was 18.9 miles and the standard deviation was 6.4 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean . Interpret the results.
Click here to see answer by Boreal(15235) |
Question 1190698: Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.61 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are at least 3.47 ?
Click here to see answer by Boreal(15235) |
Question 1191169: A box contains 7 identical marbles, except for color, of which 4 are red and 3 are green. Two
marbles are selected at random (a) one by one with replacement; (b) one by one without
replacement; (c) two marbles together.
Compute the numbers of sample points in all these cases
Click here to see answer by ikleyn(52754) |
Question 1191187: 14 people are registering to an event in a random order. What is the probability of 3 event guests A, B and C register numbers being even? Just one guest's from {A,B,C} group number even?
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I've posted 2 questions a few days back about a pole and message intervals and after receiving such great and detailed answers decided to register here. It's just the start of a semester and probability theory seems to not be in my strong suit. Maybe there's some detailed material about it for example geometric probabilities I'm not aware of?
I don't know how to send personal messages here so special thanks @greenestamps, @ikleyn and @math_tutor2020 for help!
Click here to see answer by ikleyn(52754) |
Question 1191188: The length of the road between A and B is 134 km. The distance from A to the roadside cafe is 36 km, the distance from A to the roadside service is 70 km. What is the probability that in the breakdown of a car, the distance from the place of failure to the service will be less than to the cafe? What is the probability that in the breakdown of two cars, at least one point of failure will be closer to the service than the cafe?
Click here to see answer by ikleyn(52754) |
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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, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 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, 43111..43155, 43156..43200, 43201..43245, 43246..43290, 43291..43335, 43336..43380, 43381..43425, 43426..43470, 43471..43515, 43516..43560, 43561..43605, 43606..43650, 43651..43695, 43696..43740, 43741..43785, 43786..43830, 43831..43875, 43876..43920, 43921..43965, 43966..44010, 44011..44055, 44056..44100, 44101..44145, 44146..44190, 44191..44235, 44236..44280, 44281..44325, 44326..44370, 44371..44415, 44416..44460, 44461..44505, 44506..44550, 44551..44595, 44596..44640, 44641..44685, 44686..44730, 44731..44775, 44776..44820, 44821..44865, 44866..44910, 44911..44955, 44956..45000, 45001..45045, 45046..45090, 45091..45135, 45136..45180, 45181..45225, 45226..45270, 45271..45315, 45316..45360, 45361..45405, 45406..45450, 45451..45495, 45496..45540, 45541..45585, 45586..45630, 45631..45675, 45676..45720, 45721..45765, 45766..45810, 45811..45855, 45856..45900, 45901..45945, 45946..45990, 45991..46035, 46036..46080, 46081..46125, 46126..46170, 46171..46215, 46216..46260, 46261..46305, 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, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345
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