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

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

Question 864799: At a university, the average cost of books per student has been $600 per student per semester. The Dean of Students believes that the costs are increasing and that the average is now greater than $600. He surveys a sample of 40 students and finds that for the most recent semester their average cost was $645 with a standard deviation of $75. What is the test value for this hypothesis test?

Click here to see answer by stanbon(75887)

Question 864667: Can someone please help me figure out how to work this out:
It is claimed that the students at a certain university in Michigan will score an average of 85 on a given test. Is the claim reasonable if a random sample of test scores from this university yields 83, 92, 88, 87, 80, and 92? Assume test results are normally distributed.
22Complete a hypothesis test at = 0.05 using the p-value approach.

Thanks!

Click here to see answer by stanbon(75887)

Question 864666: Can someone please help me figure out how to work this out:
Find the 0.99 confidence interval for .
In an effort to compare college costs in State of Michigan, a sample of 36 junior students is randomly selected statewide from the private colleges and 36 more from the public colleges. The private college sample resulted in a mean of $27,650 and the public college sample mean was $11,360.Assume the annual college fees for private colleges have a mounded distribution and the standard deviation is $1725. Find the 95% confidence interval for the mean costs for private colleges.

Thanks!

Click here to see answer by stanbon(75887)

Question 864818: Suppose that 3 boys and 2 girls go to the theater and occupy 5 seats in a row. In how many ways can they be seated if all 3 boys sit together?

Click here to see answer by ewatrrr(24785)

Question 864995: 4. A bag contains 450 blue and yellow marbles. The probability of drawing a yellow marble is 26%. How many blue marbles are in the bag?
Answer: _______ blue marbles
Click here to see answer by rfer(16322)

Question 864997: 6. In a fourth-grade class, 60% of the students are boys. You randomly select a student from this class. What is the probability that the student is a boy?
Anser:_________ %

Click here to see answer by stanbon(75887)

Question 864996: 5. A bag contains four blue marbles, five green marbles, and three yellow marbles. How many blue marbles should you add to the bag so that the probability of drawing a blue marble is 0.80?
Click here to see answer by stanbon(75887)

Question 864989: A sample of 10 television tubes produced by a company showed a mean lifetime of 1200 hours and a standard
deviation of 100 hours. Estimate (a) the mean, (b) the standard deviation of the population of all television tubes
produced by this company.
Click here to see answer by stanbon(75887)

Question 865002: 3. An experiment consists of randomly drawing a card from a standard deck of 52 cards. Find the probability of drawing the following. (Round your answers to one decimal place.)
(a) a 3 or a 5
___ 7.7%
___ 3.8%��
___ 30.8%
___ 0.6%
___ 15.4%

(b) a diamond or a 7
___ 28.8%
___ 32.7%��
___ 26.9%
___ 57.7%
___ 30.8%
(c) a face card (the cards with faces on them)
___ 30.8%
___ 7.7%��
___ 9.6%
___ 23.1%
___ 5.8%
Click here to see answer by richwmiller(17219)

Question 864536: an illiterate person is given 40 cards addressed to 4 different persons in the town . find probability that each person get a wrong card.
Click here to see answer by richwmiller(17219)

Question 865006: 9. A is 6.2 times less likely to occur than event B. Rewrite this sentence using the phrase "times as likely."
1)____ A is 6.2 times as likely to occur as event B.
2)____ B is 6.2 times more likely to occur as event A. ��
3)____ B is 6.2 times less likely to occur than event A.
4)____ B is 5.2 times as likely to occur as event A.
5)____ B is 6.2 times as likely to occur as event A.

Click here to see answer by richwmiller(17219)

Question 865001: 2. A bag has b blue marbles, y yellow marbles, and g green marbles. There are n marbles altogether. An experiment consists of randomly drawing a marble from the bag. What does each fraction represent?
(a)��y/n
____ the probability of drawing a blue marble
____ the probability of drawing a non-yellow marble��
____ the probability of drawing a green marble
____ the probability of drawing a non-green marble
____ the probability of drawing a yellow marble

(b)��(b + g)/n
___ the probability of drawing a blue and green marble
___ the probability of drawing a blue marble��
___ the probability of drawing a non-green marble
___ the probability of drawing a green marble
___ the probability of drawing a blue or green marble
Click here to see answer by richwmiller(17219)

Question 865004: 7. A 1-3 spinner has the following properties:
P(1) = 0.3 and P(2) = 0.25. Calculate P(3).
____ 0.55
____ 0.33��
____ 0.75
____ 0.70
____ 0.45
Click here to see answer by richwmiller(17219)

Question 865023: Please help,
In a survey of 1001 U.S. adults, 27% said they smoked a cigarette in the past week. The survey's margin of error is plus or minus 3%. Translate this information into a confidence interval for p. Approximate the value of the level of confidence c. (Note: For this problem, you must calculate the value of c. Do not round to the nearest common value found in tables.)
Click here to see answer by stanbon(75887)

Question 865027: Suppose the alternative hypothesis in a hypothesis test is "the population mean is greater than 60". If the sample size is 80, σ is known, and alpha = .01, the critical value of z is _______.
a. 2.575
b. -2.575
c. 2.33
d. 2.45

Click here to see answer by stanbon(75887)

Question 864994: Compute the correlation coefficient. Round 3 decimals.
Y 1 4 5 3 7
X 5 4 2 6 1
Click here to see answer by stanbon(75887)

Question 865077: A hospital emergency room has collected a sample of n = 40 to estimate the mean number of visits per day. It has found the standard deviation is 32. Using a 90 percent confidence level, what is its margin of error?
Click here to see answer by jim_thompson5910(35256)

Question 865085: A state's license plates consist of three letters followed by three numerals, and 250 letter arrangements are not allowed. How many plates can the state issue?
Click here to see answer by jim_thompson5910(35256)

Question 865156: find the average rate of change for the funchtion f(x)=3x^2 on the interval [-3,3]
Click here to see answer by jim_thompson5910(35256)

Question 865146: if a person is in the top 10% of the country on mathematics ability, what is the lowest z score this person could have
Click here to see answer by stanbon(75887)

Question 865129: 10.1% of the population is 65 or older. Find the probability that the following number of persons selected at random from 25 people are 65 or older.
What is the probability that at MOST 2 are 65 or older?
Click here to see answer by stanbon(75887)

Question 865119: A machine produces widgets at a defective rate of 10%. A sample of 7 widgets is taken, What is the probability that 1 of them are defective?
Click here to see answer by stanbon(75887)

Question 865083: Consider selecting four elements, a, b, c, and d, from the set
A = {a, b, c, d, e}.
List all possible subsets of A consisting of these four elements. (Remember to use set-builder notation. ie.
{a, b, c, d, e})
Click here to see answer by richard1234(7193)

Question 861452: 1. There are 12 red checkers and 3 black checkers in a bag. Checkers are selected one at a time, with replacement. Each time, the color of the checker is recorded. Find the probability of selecting a red checker exactly 7 times in 10 selections. Show your work.
2. 4. Use the binomial theorem to expand (2x � 5y)3. Show all your work.

Click here to see answer by alexandramia(1)

Question 865311: a red die and a green die have been rolled what is the probability the sum is 9
Click here to see answer by Alan3354(69443)

Question 865361: I 10) Government auditors routinely check tax returns
Click here to see answer by richwmiller(17219)

Question 865351: A new type of light bulb has an average lifespan of 1200 hours with a standard deviation of 75 hours. Use the table to find the probability that a light bulb chosen at random will last less than 1170 hours.
How do I find probability using a table? What is the formula?

Click here to see answer by stanbon(75887)

Question 865341: Write a specific formula to describe the variation: S varies jointly with the inverse of the cube root of P and inversely with the square root of L; S = 2 when P = 8, L = 25.

Click here to see answer by stanbon(75887)

Question 865385: The local grocery store sells a gallon of milk for $3.04. If the average price for a gallon of milk is $2.94 with a standard deviation of $0.19, find the z-score for the price of the gallon of milk.
How would I find the z score?
Click here to see answer by jim_thompson5910(35256)

Question 865293: (I'm stuck on this question, can someone please help?)
Recently, a university surveyed recent graduates of the English Department for their starting salaries. Four hundred graduates returned the survey. The average salary was $25,577. The population standard deviation is $2,566. What is the 95% confidence interval for the mean salary of all graduates from the English Department?

[$25,326, $25,828]
[$25,365, $25,789]
[$25,246, $25,908]
[$25,336, $27,101]

Click here to see answer by jim_thompson5910(35256)

Question 865435: jim and bill bike like to shoot targets . jim ca hit a target with probability of 0.8 , while bill can hit a target with 0.7 . if both fire at a target at the same time , what is the probability that the target is hit at least once?
Click here to see answer by jim_thompson5910(35256)

Question 865477: A set of data items has a mean of 400 and a std. deviation of 50. Find the data item that corresponds to a z-score of -1.5.
A) 325
B) 350
C) 375
D) 400
E) 475
Click here to see answer by stanbon(75887)

Question 865458: A batch of one hundred bulbs is inspected by testing four randomly chosen bulbs. The batch is rejected if even one of the bulbs are defective. A batch typically has five defective bulbs. The probability that the current batch is accepted is ??
Click here to see answer by ewatrrr(24785)

Question 865468: An airline has room for 262 passengers. Because some people do not show up, the airline books 290 people on the flight. If the mean number of "No Shows" is 45 people with a std. deviation of 10, what percentage of these flights will be unable to seat all passengers who do show up?
Click here to see answer by ewatrrr(24785)

Question 865523: Given the expression (8 + 6i) − (−2 + 7i), perform the indicated operation and write the answer in the form a + bi.
A. 10 − i
B. 10 + 13i
C. 6 + 13i
D. 12 − i
Click here to see answer by Fombitz(32388)

Question 865531: For the polynomial function �(x) = (2 − x)(x + 1)(x − 3)(x + 5), find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept.
A. x = −5, cross; x = −1, cross; x = 2, cross; x = 3, cross
B. x = −5, cross; x = −1, cross; x = 2, touch; x = 3, touch
C. x = −5, cross; x = −1, touch; x = 2, touch; x = 3, touch
D. x = −5, cross; x = −1, cross; x = 2, cross; x = 3, touch
Click here to see answer by Fombitz(32388)

Question 865552: a doctor at a local hospital is interested in estimating the birth weight of infants.How large of a sample must she select if she desire to be 98% confident that the mean is within 3 ounces of the sample mean? The standard deviation of the birth weights is known to be 9 ounces.
Click here to see answer by ewatrrr(24785)

Question 865520: If Frosty Ice Cream has 24 flavors, how many 2-scoop combinations are possible?
A. 576
B. 276
C. 3.1 � 10^23
D. 552
Click here to see answer by ewatrrr(24785)

Question 865581: A random sample of the ages of 63 college students has a mean of 19. The population is known to be normal with a standard deviation,

, of 3.
a. What is the standard error of the mean? (Round to 2 decimal places. Example: 3.87)

b. What is the margin of error, with 95% confidence? (Round to 2 decimal places.
Click here to see answer by ewatrrr(24785)

Question 865582: how many ways to choose two representatives from a team of 13?
Click here to see answer by ewatrrr(24785)

Question 865556: find the critical t-value that correspond to 99% confidence and n=10
Click here to see answer by ewatrrr(24785)

Question 865547: Two cards are selected, without replacement, from a deck. Find the probabilty of selecting a diamon, and then selecting a club.
Click here to see answer by ewatrrr(24785)

Question 865546: Find the number of ways to arrange the letters in the following words:
a. scramble
b. Permutation
Click here to see answer by ewatrrr(24785)

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