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

Algebra ->  Probability-and-statistics -> Questions on Algebra: Probability and statistics answered by real tutors!      Log On


   



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


Question 1201125: Assume that each year the IRS randomly audits 20% of the tax returns. If a married couple has filed separate returns, answer the following questions.
(a)What is the probability that only one of them will be audited?

Click here to see answer by ikleyn(52776) About Me 
Question 1201125: Assume that each year the IRS randomly audits 20% of the tax returns. If a married couple has filed separate returns, answer the following questions.
(a)What is the probability that only one of them will be audited?

Click here to see answer by greenestamps(13198) About Me 

Question 1201105: Ibrahim Masood recently assumed the position of director of the national club of south valley. he would like some current data on how long current members of club have been members. To investigate, suppose he selects a random sample of 40 current members. The mean length of membership for the sample is 8.32 years and the standard deviation is 3.07 years.
Develop a 90% confidence interval for the population mean.

Click here to see answer by Theo(13342) About Me 

Question 1201156: Hello, please i need help with this question. In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained:
Specimen: 1,2,3,4,5,6.
A: 10.16,10.88,10.49,5.29,8.25,7.58
B: 10.17,10.87,10.48,5.28,8.26,7.54
State the null and alternate hypotheses.

Click here to see answer by math_tutor2020(3816) About Me 

Question 1201195: Brianna flips a round, flat game piece with yellow on one side and white on the other side.
Make a tree diagram to show the sample space for flipping the game piece four times.

Click here to see answer by ikleyn(52776) About Me 

Question 1201197: The​ registrar's office reported that 310 students are enrolled in​ Statistics, and 297 are enrolled in General Psychology. 125 are enrolled in both.
If there are​ 3,500 students at the branch​ campus, what is the probability that you would randomly select a student that is enrolled in Statistics or General​ Psychology?

Click here to see answer by ikleyn(52776) About Me 

Question 1201207: a basketball player makes 90% of her free throws. what is the probability she will miss the first times on the 7th shoot
Click here to see answer by greenestamps(13198) About Me 

Question 1201204: An owner of a fine dining restaurant estimates that the probability that his company application with CSR will be approved is 0.55; the probability that the application with the DOH will be approved is 0.65, and the probability that it will pass with both CSR and DOH is 0.45. Determine the probability that the application with CSR will be approved given that the application with DOH will also be approved.
Click here to see answer by ikleyn(52776) About Me 

Question 1201215: A particular fruit's weights are normally distributed with a mean of 250 grams and a standard deviation of 20 grams. The heaviest 4% of fruits weigh more than how many grams. Round your answer to the nearest gram.
Click here to see answer by ikleyn(52776) About Me 
Question 1201215: A particular fruit's weights are normally distributed with a mean of 250 grams and a standard deviation of 20 grams. The heaviest 4% of fruits weigh more than how many grams. Round your answer to the nearest gram.
Click here to see answer by math_tutor2020(3816) About Me 

Question 1201217: A binomial experiment with probability of success p=0.73 and n=7 trials is conducted. What is the probability that the experiment results in 6 or more successes?
Click here to see answer by Theo(13342) About Me 

Question 1201226: In a library box, there are 4 novels, 4 biographies, and 4 war history books. If Jack selects two books at random, what is the probability of selecting two different kinds of books in a row?
Click here to see answer by greenestamps(13198) About Me 

Question 1201225: A bag contains a yellow, blue, and green marble. June picks a marble from the
bag, then returns the marble and picks again. Record the sample space for the repeated experiment.

Click here to see answer by ikleyn(52776) About Me 

Question 1201230: A contestant draws a sequence of three cards, one question per card, and tries to answer the three questions. There are three cards with history questions, six cards with literature questions, and eight cards with science questions. Find the probability of each of the following.
Click here to see answer by ikleyn(52776) About Me 

Question 1201243: How many seven-digit local telephone numbers can be formed if the first three-digits are 169?
Click here to see answer by Alan3354(69443) About Me 

Question 1201244: Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 90 people. (You may need to use the standard normal distribution table. Round your answers to the nearest whole number.)
(a) How many would you expect to be between 160 and 180 cm tall? How many would you expect to be taller than 167 cm?

Click here to see answer by Glaviolette(140) About Me 

Question 1201208: a diagnostic procedure is known to detect infection 90% of the time. However there have been anomalies where the procedure declares a non infected person as infected in 15% of the cases and an infected person as non infected in 5% of the cases. if the general observation is that 20% of the people who choose the diagnostic procedure are infected, determine the following
1) An infected person is declared as infected
2) A person who has been declared not infected by the diagnosis was actually infected and
3) A non infected person is declared non infected

Click here to see answer by Glaviolette(140) About Me 

Question 1201102: A store manager gathers some demographic information from the store's customers. The following chart summarizes the age-related information they collected:
Age Number of Customers
77
20-29 79
30-39 89
40-49 66
50-59 82
83

One customer is chosen at random for a prize giveaway. (Round answers to 4 decimal places.)
a. What is the probability that the customer is at least 20 but no older than 39?

b. What is the probability that the customer is either older than 60 or younger than 20?

c. What is the probability that the customer is at least 60?
Submit QuestionQuestion 4

Click here to see answer by Glaviolette(140) About Me 

Question 1201247: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100 pounds and a standard deviation of 18. What is the probability that a certain rope will break before being subjected to 130 pounds? (You may need to use the standard normal distribution table. Round your answer to four decimal places.)
Click here to see answer by Glaviolette(140) About Me 

Question 1200919: The foll y are the annual incomes (in thousands of dollars) for 24 randomly chosen, U.S. adults employed full-time.
26, 31, 33, 34, 34, 39, 40, 40, 40, 40, 41, 42, 43, 43, 44, 48, 50, 50, 51, 53, 60, 80, 102, 124

(a) For these data, which measures of central tendency take more than one value?
Choose all that apply.
(b) Suppose that the measurement 26 (the smallest measurement in the data set) were replaced by 8. Which measures of central tendency would be affected by the change?
Choose all that apply.
(c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.
• Mean
• Median
• Mode
• None of these measures
• Mean
• Median
• Mode
• None of these measures
O Mean
O Median
• Mode
None of these measures
(d) Which of the following best describes the
O Negatively skewed
distribution of the original data?

Click here to see answer by Glaviolette(140) About Me 

Question 1201251: If Jackson rolls a fair 6-sided die 200 times, what is a reasonable prediction on how many times he will roll a 4?
Click here to see answer by ikleyn(52776) About Me 

Question 1201253: Fynn performs an experiment where he flips a coin three times. If he performs this
experiment 100 times, how many repetitions of the experiment can he expect to result in the coin landing on the same side for all three flips?

Click here to see answer by greenestamps(13198) About Me 

Question 1201279:
Click here to see answer by ikleyn(52776) About Me 

Question 1201280:
Click here to see answer by ikleyn(52776) About Me 

Question 1201278: Hi
Consider the following small data set.
Subject x y
1 16 16
2 4 20
3 11 25
4 6 17
5 16 26

1. Find 𝑛 ∑(𝑥𝑦)−(∑𝑥)(∑𝑦)=
.
2. Find 𝑛∑(𝑥2)−(∑𝑥)2=
.
3. Find 𝑛∑(𝑦2)−(∑𝑦)2=
.
4. Find the linear correlation coefficient 𝑟=

Click here to see answer by ikleyn(52776) About Me 

Question 1201283: A university dean is interested in determining the proportion of students who receive some sort official aid. Rather than examine the records for all students, the dean randomly selects 200students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the proportion of all students receiving financial aid to within1% with99% reliability, how many students would need to be sampled?
Click here to see answer by math_tutor2020(3816) About Me 

Question 1201291: A payday loan company charges a $60 fee for a $700 payday loan that will be repaid in 11 days.
Treating the fee as interest paid, what is the equivalent annual interest rate?
____ % interest Round to the nearest percent. This will be over 100%

Click here to see answer by Theo(13342) About Me 

Question 1201281: Is the number of games won by a major league baseball team in a season related to the team batting average?
The table below shows the number of games won and the batting average (in thousandths) of 8 teams.
Team Games Won Batting Average
1 108 267
2 99 271
3 95 259
4 61 288
5 72 272
6 61 283
7 85 268
8 113 276

Using games won as the explanatory variable 𝑥, do the following:
(a) The correlation coefficient is 𝑟=
.
(b) The regression equation is 𝑦̂ =
.

Click here to see answer by Theo(13342) About Me 

Question 1201255: Assume that a procedure yields a binomial distribution with a trial repeated
n=5 times. Use some form of technology to find the probability distribution given the probability p=0.355
of success on a single trial.

Click here to see answer by Theo(13342) About Me 

Question 1201250: Phil Dunphy, a real estate agent, is considering whether he should list an unusual $760,463 house for sale. If he lists it, he will need to spend $5,132 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $24,340. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 73%. What is the expected profit on this listing?

Click here to see answer by Theo(13342) About Me 

Question 1201312: if the mean is 266 and standard deviation is 12 and the question is asking what percentage last more than 283: p(x>283). how do i do this
Click here to see answer by math_helper(2461) About Me 

Question 1201317: P(x less than or equal to 75.4)
Click here to see answer by math_tutor2020(3816) About Me 

Question 1201331: 4 or 13

Click here to see answer by ikleyn(52776) About Me 

Question 1201330: divisible by 4 or divisible by 3

Click here to see answer by ikleyn(52776) About Me 

Question 1201333: The average score on the math portion of the SAR was 516 in 2002. Suppose that the math scores of all students taking the SAT in 2002 were normally distributed with a mean of 516 and a standard deviation of 90.
i. What percentage of the students scored higher than 600 on this exam?
ii. An elite technical college requires a student’s math SAT score to be 700 or higher to be considered for admission. What percentage of the students who look the SAT in 2002are eligible for consideration by this college?

Click here to see answer by ikleyn(52776) About Me 

Question 1201347: a six sided die was rolled 12 times with these results:
Roll- 1, 2, 3, 4, 5, 6
times- 2, 3, 2, 2, 2, 1
What is the experimental probability of rolling an number greater than 2? round as decimal to the nearest hundredth.

Click here to see answer by greenestamps(13198) About Me 

Question 1201346: A six sided die was rolled 12 times with these results:
roll- 1, 2, 3, 4, 5, 6
times- 2, 3, 2, 2, 2, 1

Click here to see answer by greenestamps(13198) About Me 

Question 1201342: Malika chooses one day of the year 2015 at random.
A-What is the probability that it is
a- 5 August, b-not 5 August c-in August d-not in August
B- suppose she chose a day in 2016 instead of 2015,which probability in part A would be greater now?

Click here to see answer by ikleyn(52776) About Me 

Question 1201340: A computer generates a two digit number random number. It can be any number from 00 to 99.Find the probability that it.
A-is 99
B- is not 99
C-has no 9s in it
D-had at least one 9 in it.

Click here to see answer by ikleyn(52776) About Me 

Question 1201351: A high school baseball player has a 0.153 batting average. In one game, he gets 6 at bats. What is the probability he will get at least 2 hits in the game?
Click here to see answer by math_tutor2020(3816) About Me 

Question 1201360: A box contains 300 discs of different colours. There are 100 pink discs, 100 blue discs and 100 orange
discs. The discs of each colour are numbered from 0 to 99. Five discs are selected at random, one at
a time, with replacement. Find
(i) the probability that no orange discs are selected

Click here to see answer by ikleyn(52776) About Me 

Question 1201361: Suppose Dan wins 40% of all his chess games.
If Dan is to play 4 games, what is the probability Dan wins at least one game?

Click here to see answer by ikleyn(52776) About Me 

Question 1201370: A coin is tossed. If a head appears, a spinner
that can land on any of the numbers from 1 to
6 is spun. If a tail appears, the coin is tossed a
second time instead of spinning the spinner.
Which outcomes are possible?
[A] (T, H), (H, H), (H, 1), (H, 2), (H, 3), (H,
4), (H, 5), (H, 6)
[B] (T, H), (T, T), (H, 1), (H, 2), (H, 3), (H,
4), (H, 5), (H, 6)
[C] (T, H), (T, T), (T, 1), (T, 2), (T, 3), (T, 4),
(T, 5), (T, 6)
[D] (T, H), (H, H), (T, 1), (T, 2), (T, 3), (T,
4), (T, 5), (T, 6)

Click here to see answer by ikleyn(52776) About Me 

Question 1201371: Marta has a bag filled with 5 red, 7 green, and
4 blue marbles. List the possible outcomes
for drawing two marbles.

Click here to see answer by ikleyn(52776) About Me 
Question 1201371: Marta has a bag filled with 5 red, 7 green, and
4 blue marbles. List the possible outcomes
for drawing two marbles.

Click here to see answer by greenestamps(13198) About Me 

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, 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