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Question 1206345: Thirty-five rose bushes are available from a nursery containing 16 red bushes, 11 yellow bushes, and 8 white bushes. If 10 rose bushes are randomly chosen with replacement, then what is the probability that 7 or more are yellow?
0.0587
0.0139
0.1171
0.9978

Click here to see answer by math_tutor2020(3816)

Question 1206339: Let Y be a Binomial variable counting the number of successes in
90 independent trials where the probability of success at each trial is 0.51
; that is, Y-Bin(90,0.51)
.
Use the pbinom function in R to find
, giving your answer to three decimal places.
Click here to see answer by ikleyn(52765)

Question 1206333: Suppose 4% of all people filing the long income tax form seek deductions that they know are illegal, and an additional 3% incorrectly list deductions because they are unfamiliar with income tax regulations. Of the 4% who are guilty of cheating, 79% will deny knowledge of the error if confronted by an investigator. If the filer of the long form is confronted with an unwarranted deduction and he or she denies the knowledge of the error, what is the probability that he or she is guilty? (Round your answer to four decimal places.)
Click here to see answer by ikleyn(52765)

Question 1206351: A sample of 75 people yielded the following information about their health insurance.
33 people with a managed care plan
27 with traditional insurance
15 with no insurance
2 people who provided information for the table were randomly selected, without replacement. Determine the probability that:
They both had a managed care plan.
Click here to see answer by Theo(13342)

Question 1206350: A sample of 75 people yielded the following information about their health insurance.
33 people with managed care plan
27 people with traditional insurance
15 people with no insurance
Two people who provided information for the table were randomly selected, without replacement. Determine the probability that:
A. Neither had traditional insurance.
Click here to see answer by Theo(13342)

Question 1206354: Give that A and B are independent and P(A)=1/5 and P(AUB)=1/4. Find P(A') and P(B)
Click here to see answer by ikleyn(52765)

Question 1206353: In a survey, 13 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $35.6 and standard deviation of $3.3. 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.

Click here to see answer by Theo(13342)

Question 1206368: A telemarketer makes six phone calls per hour and is able to make a sale on 30 percent of
these contacts. During the next two hours, find:
a. The probability of making exactly four sales.
b. The probability of making no sales.
c. The probability of making exactly two sales.
d. The mean number of sales in the two-hour period.
Click here to see answer by ikleyn(52765)

Question 198605: A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours. Find:
a) The probability of exactly making four sales.
b) The probability of making no sales.
c) The probability of exactly making two sales.
d) The mean number of sales within the two-hour period.

Click here to see answer by ikleyn(52765)

Question 1206380: The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 46 and a standard deviation of 4. Using the Empirical Rule rule, what is the approximate percentage of lightbulb replacement requests numbering between 46 and 58?

Click here to see answer by ikleyn(52765)

Question 1206386: A typical platoon consists of 20 soldiers. If there are 28 soldiers available to create a platoon, how many different platoons are possible?

Click here to see answer by MathLover1(20849)

Question 1206387: A small town has a population of 3,200 people. 30% of the townspeople speak Italian, 20% speak French, and the rest do
not speak either of these languages. 360 people speak both Italian and French.
b. What percent of the townspeople speak only Italian?
Click here to see answer by MathLover1(20849)

Question 1206389: getting a blue ball from a box containing 3 red and 6 blue balls
Click here to see answer by ikleyn(52765)

Question 1206392: Out of
300
college applications,
212
are out of state applicants. Of the
212
out of state applicants,
110
have visited the college. What is the probability of choosing an an applicant that has visited the campus, given the applicant is out of state? Round to four decimals, as needed.

Click here to see answer by ikleyn(52765)

Question 1206409: Based on history, what is the probability that a year will end with an "up" market when January ends with an "up" market
Click here to see answer by ikleyn(52765)

Question 1206422: Standard automobile license plates in a country display 2 numbers, followed by 3 letters, followed by 3 numbers. Assume that this country's alphabet has 27 letters. How many different standard plates are possible in this system if the last number must be an even number?

Click here to see answer by ikleyn(52765)

Question 1206421: A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6 freshmen, 8 sophomores, 7 juniors, and 7 seniors are eligible to be on the committee, in how many ways can the committee be chosen?
Click here to see answer by ikleyn(52765)

Question 1206423: 7 -letter "words" (including non-sense words) are formed using the following 9 letters I, L, O, P, Q, R, U, X, Z. How many such words are possible if the second letter must be a vowel (letters can be repeated).
Click here to see answer by ikleyn(52765)

Question 1206426: A sports master divides randomly a class of 30 students into 2 football teams of 16 and 14 students respectively. Find the probability that two particular students, Muthu and Ali, will be in the same team.
Click here to see answer by ikleyn(52765)

Question 1206431: 4: Suppose a certain drug test is 99% accurate, that is, the test will correctly identify a drug
user as testing positive 99% of the time, and will correctly identify a non-user as testing negative 99%
of the time. This would seem to be a relatively accurate test, but Bayes's theorem will reveal a
potential flaw. Let's assume a corporation decides to test its employees for opium use, and 0.5% of the
employees use the drug. You want to know the probability that, given a positive drug test, an
employee is actually a drug user.
Click here to see answer by ikleyn(52765)

Question 1206432: An urn contains 5 red and 7 blue balls. Suppose that two balls are selected randomly and with replacement. Let A and B be the events that the first and the second balls are red respectively.
(a)Is event A and B independent？Show your reasoning.
(b)If we do the same experiment without replacement, is event A and event B independent? Show your reasoning.
Click here to see answer by Theo(13342)

Question 1206437: A group of students were surveyed to determine their choices of surfing internet and using library to gather new information for assignment. The results showed that 85% will surf the internet, while only 25% will go to library. Given that among those who will surf the internet, 15% will go to library.
(i) What is the percentage of the students will use both methods to gather new information?
(ii) What percentage of the students will use at least one of the ways to get new information?
(iii) Are the events "the students who will surf the internet" and "the students who will go to library" mutually exclusive?
Click here to see answer by ikleyn(52765)

Question 1206439: In a scientific study there are 7 guinea pigs, 4 of which are pregnant. If 3 are selected at random without replacement, find the probability that all are pregnant. Enter your answer as a fraction or a decimal rounded to decimal places
Click here to see answer by ikleyn(52765)

Question 1206447: Six story books, A, B, C, D, E, and F were arranged on a shelf randomly. If A and B were not placed together, what is the probability that there was one book between A and B?
Click here to see answer by ikleyn(52765)

Question 1206449: for the distribution with a mean of 100 and a standard deviation of 15, the normal curve would be centered around the mean of 100. The x-axis would be labeled at one standard deviation below the mean (85), at the mean (100), and at one standard deviation above the mean (115). The curve would also be symmetrical and bell-shaped.
Click here to see answer by ikleyn(52765)

Question 1206455: The probability that a certain type of vacuum tube will shatter during a thermal shock test is 0.15. The researches decide to test 80 vacuum tubes.
a)What is the mean number of vacuum tubes that will shatter?
b) What is the standard deviation of the number of vacuum tubes that will shatter?
c) Suppose that 17 of the 80 vacuum tubes shatter. Would you consider this unusual?

Click here to see answer by ikleyn(52765)

Question 1206460: 4. Claire is considering investing in a new business. In the first year, there is a probability of 0.2 that the new business will lose $10,000, a probability of 0.4 that the new business will break even ($0 loss or gain), a probability of 0.3 that the new business will make $5,000 in profits, and a probability of 0.1 that the new business will make $8,000 in profits.
a. Claire should invest in the company if she makes a profit. Should she invest? Explain using expected values.
b. If Claire’s initial investment is $1,200 and the expected value for the new business stays constant, how many years will it take for her to earn back her initial investment?
Click here to see answer by ikleyn(52765)

Question 1206463: 53. Two cards are drawn in succession from a standard 52-card
deck. What is the probability that the first card is a club and
the second card is a heart
(A) If the cards are drawn without replacement?
(B) If the cards are drawn with replacement?
Click here to see answer by ikleyn(52765)

Question 1206473: You need to schedule three clubs for picture day in the spring. Of the 124 students in clubs, 28 of them are in NHS, 54 of them are in student governement and 20 are in both. While trying to avoid double scheduling, if the photographer chooses a student in clubs at random, what is the probability that the student is in either NHS or student government but not both?

Click here to see answer by ikleyn(52765)

Question 1206474: Two six-sided dice are rolled and the sum is recorded.
Determine the probability of obtaining a sum greater than 8 and a sum less than 6.

Click here to see answer by ikleyn(52765)

Question 1206494: The probability that mary can work a problem is 70%.Find the probability that mary cannot work the problem

Click here to see answer by ikleyn(52765)

Question 1206497: Dan rolled a number cube 20 times. The cube landed on the number 3 six times. What is the experimental probability that Dan will roll a number 3 the next time he rolls the number cube?
Click here to see answer by Theo(13342)

Question 1206498: A bag has equal numbers of magenta, turquoise, and black marbles. Corey picked a
marble from the bag, replaced it, then picked another marble. Both times he did not select a magenta marble. If he repeats this process 250 times, predict how many repetitions will result in no magenta marbles?
 4
 83
 167
 250
Click here to see answer by greenestamps(13198)

Question 1206503: Calculate the number of ways in which three girls and four boys can be seated on a row of seven chairs if each arrangement is to be symmetrical.
Click here to see answer by Edwin McCravy(20054)

Question 1206335: Suppose that a certain disease is present in 10% of the population, and that there is a screening test designed to detect this disease if present. The test does not always work perfectly. Sometimes the test is negative when the disease is present, and sometimes it is positive when the disease is absent. The following table shows the proportion of times that the test produces various results.
Test Is Positive
(P)
Test Is Negative
(N)
Disease
Present
(D)
0.07 0.03
Disease
Absent
(DC)
0.02 0.88
(a)
Find the following probabilities from the table. (Round your answers to two decimal places.)
P(D)=
P(DC)=
P(N|DC)=
P(N|D)=
(b)
Use Bayes' Rule and the results of part (a) to find
P(D|N).
(Round your answer to three decimal places.)
P(D|N) =
(c)
Use the definition of conditional probability to find
P(D|N).
(Your answer should be the same as the answer to part (b). Round your answer to three decimal places.)
P(D|N) =
(d)
Find the probability of a false positive, that the test is positive, given that the person is disease-free. (Round your answer to three decimal places.)
(e)
Find the probability of a false negative, that the test is negative, given that the person has the disease.

Click here to see answer by Theo(13342)

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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