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

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

Question 304009: a fruit company guarentees that 90% of the pineapples it ships will be ripe within four days. find each probability for a case containing 12 pineapples.
1) all 12 are ripe within 4 days.

2) at least 10 are ripe within 4 days.

3) no more than 9 are ripe within 4 days.
Click here to see answer by stanbon(75887)

Question 303978: Sally is dealing a 6 card hand from a standard deck of 52 cards. What is the probability the hand contains 2 jacks and 4 non-jacks?
Click here to see answer by edjones(8007)

Question 303902: A.How many different ways are there to answer a true/false test that has four questions?
B. If you were to guess at the four answers for the true/false test, what is the probability of getting all four right?
C. If you were to guess at the four answers for the true/false test, what is the probability of getting at least two right?
Click here to see answer by stanbon(75887)

Question 304234: Can you help me solve this?
Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance,
is the true mean greater than 10? (b) Use Excel to find the right-tail p-value.
Click here to see answer by stanbon(75887)

Question 304199: inhow many ways can a pair of co-captions be chosen from 10 tennis players?
Click here to see answer by stanbon(75887)

Question 304194: The number of patients treated at Dr. Jason's dentist office each day was recorded for eight days. Using the given data, find the mean,median, and mode for this sample.
Click here to see answer by stanbon(75887)

Question 304168: Researchers want to estimate the mean weight of all chipmunks living in Albuquerque, NM. Using the population standard deviation of 1.4 ounces as in Question #5, find the sample size required if we want our margin of error to be less than 0.25 ounces with 95% confidence.
a. 11 chipmunks
b. 120 chipmunks
c. 121 chipmunks
d. 120.5 chipmunks
e. 44 chipmunks
Click here to see answer by stanbon(75887)

Question 304391: Suppose that a family has 5 children. Also, suppose that the probability of having a girl is 1/2. Find the probabilities that the family has the following children.
1. Exactly 2 girls and 3 boys
Click here to see answer by stanbon(75887)

Question 304310: In a shipment of 100 televisions, 6 are defective. If a person buys two televisions from that shipment, what is the probability that both are defective?
Click here to see answer by stanbon(75887)

Question 304307: Three cards are chosen at random from a deck without replacement. What is the probability of getting a jack, a ten and a nine?
Click here to see answer by stanbon(75887)

Question 304440: What does 12C3=220 mean?
If I have 12 numbers as follows: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 and I pick three numbers randomly for example 2, 6, and 9, how many possible combinations are there for these three numbers? How do I figure this?
-- Maria
Click here to see answer by stanbon(75887)

Question 304515: In the ordinary alphabet of 26-letters.
a) Define a "4-letter word" to be any list of 4 letters that contains at least one of the vowels A, E, I, O, U. How many 4-letter words are there?
b) Suppose, instead, we define a "4-letter word" to be any list of 4 letters that contains exactly one of the vowels A, E, I, O, U. How many 4-letter words are there?
Click here to see answer by vleith(2983)

Question 304469: a commitee of three teachers and three students is being formed. There are 100 students (80 of which are women) and 20 teachers (ten are women). What are the chances that the committee will be made up of all women?
I said there are 90 women all together and 30 men therefore there is a 60% chance that the committee will be all women
Click here to see answer by stanbon(75887)

Question 304445: What is the probability of getting a 3 or odd number on a number cube ?
Click here to see answer by stanbon(75887)

Question 304545: Jobs of 400 students at a school at 35% have part time jobs. Find the probility that one student selected at random will have a part time what�s the answer
Click here to see answer by Fombitz(32388)

Question 304558: what is the interquatile range of the following data set 60 40 35 45 39
Click here to see answer by stanbon(75887)

Question 304514: Suppose n>1. An n-digit number is a list of n digits where the first digit in the list is NOT zero.
a) How many n-digit number are there?
b) How many n-digit numbers contain no zeroes?
c) How many n-digit numbers contain at least one zero
hint: Use a) and b)
Click here to see answer by stanbon(75887)

Question 304668:
another question here:
Recent study of cardivascular risk factor reports that 30% of Adults meet the criteria for Hypertension if 15 Adults are assessed. What is the probability that:
A. exactly 5 meet the criteria for Hypertension?
b. None meet the criteria for Hypertension?
c. Less than or egqal to 7 meet the criteria for Hypertension?

Click here to see answer by stanbon(75887)

Question 304671: this is the problem:
Each even can occur in the given number of ways. Find the number of ways all of the events can occur.
Event A: 5 ways; Event B: 2 ways
would you just multiply 5 by 2? or do you have to do something more complex?
i'm just not sure what to do.
Click here to see answer by stanbon(75887)

Question 304683: this is the problem question:
Recently study of cardiovascular Risk Factors reports that 30% of Adults meet the Criteria for Hypertension if 15 adults are assessed what is the Probability that:
A. Exactly 5 meet the Criteria for Hypertension?

B. None meet the criteria for Hypertension?
c. Less than or equal to 7 meet the Criteria for Hypertension?

does it related to using the proability?
Click here to see answer by isaiah33(1)

Question 304684: this is the problem question:
Recently study of cardiovascular Risk Factors reports that 30% of Adults meet the Criteria for Hypertension if 15 adults are assessed what is the Probability that:
A. Exactly 5 meet the Criteria for Hypertension?

B. None meet the criteria for Hypertension?
c. Less than or equal to 7 meet the Criteria for Hypertension?

does it related to using the proability?
Click here to see answer by stanbon(75887)

Question 304703: ) P-value for a hypothesis test is 0.06. For each of the following significance levels, decide whether the null hypothesis should be rejected:
a) α = 0.05
b) α = 0.10
c) α = 0.06

Click here to see answer by stanbon(75887)

Question 304692: how it solves this problem?
5. Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12
a. What proportion of people have disastolic blood pressure less than 90% ?

b. What proportion have diatolic blood pressure between 80 and 90% ?

c. If someone has a diatolic blood pressure of 100. what is percentile does represent?

Click here to see answer by Theo(13342)

Question 304714: 62% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball is (a) exactly 8, (b) at least 8, &(c)less than 8.
(a) P(8)
(b) P(x is greater than or equal to 8)
(c) P(x<8)
The formula is the part I cannot figure out how to solve.
Please help me figure out the formula and then I could work the problem.
Click here to see answer by stanbon(75887)

Question 304738: 30 % of firm�s orders come from new customers. A simple random sample of 100 orders will be used to estimate the proportion of new customers. Find probability that sample proportion will be between 0.22 and 0.40
Click here to see answer by stanbon(75887)

Question 304744: 4. A company recruits personnel for its sales department on the basis of special tests designed to judge the potential of the candidates. The following table gives test scores and the mean daily sales for 9 executives.
a. Fit a regression line of Y on X.
b. Prepare a table of predicted values and residuals.
Mean daily Score(Y)
34 39 30 33 36 38 45 41 48
Test Score (X)
59 69 50 56 64 66 77 73 83

Click here to see answer by stanbon(75887)

Question 304720: The LMB company manufactures tyres. They claim that only 0.007 LMB tyres are defective.What is the probability of finding 2 defective tyres in a random sample of 50 LMB tyres?
Click here to see answer by stanbon(75887)

Question 304719: 5. Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12
a. What proportion of people have disastolic blood pressure less than 90%

b. What proportion have diatolic blood pressure between 80 and 90% ?

Click here to see answer by stanbon(75887)

Question 304843: It is estimated that 10 percent of those taking the quantitative methods portion of the CPA examination fail that section. Sixty students are taking the exam this Saturday.
a. How many would you expect to fail? What is the standard deviation?
b. What is the probability that exactly two students will fail?
C. What is the probability at least two students will fail?

Click here to see answer by stanbon(75887)

Question 304846: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below.
Research question: Are the mean crash damages the same for these three
vehicles?
Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920

Click here to see answer by stanbon(75887)

Question 304838: Five cards are drawn from a standard 52- card deck. What is the probability that the first two cards are red.
Click here to see answer by checkley77(12844)

Question 304883: Suppose there are 10 items on a true-false test. The person taking the test does not read the questions; he justanswers each question randomly. What is the probability of his guessing all answers correctly?
Click here to see answer by themathtutor2009(81)

Question 304872: In a sample of 100 Planter�s Mixed Nuts, 19 were found to be almonds. (a) Construct a 90 percent confidence interval for the true proportion of almonds. (b) May normality be assumed? Explain.
(c) What sample size would be needed for 90 percent confidence and an error of � 0.03? (d) Why would a quality control manager at Planter�s need to understand sampling?
Click here to see answer by stanbon(75887)

Question 304905: In solving a linear programming problem, you are given the following initial tableau.
7 3 2 1 0 0 5
4 1 1 0 1 0 20
-5 -10 -1 0 0 1 0
What is the problem being solved?

Click here to see answer by Edwin McCravy(20054)

Question 304377: How do you find the probability of this event:
When you break a 10-inch long stick into two pieces, one of the two pieces is less than 2 inches long
Click here to see answer by scott8148(6628)

Question 304906: To pour a concrete sidewalk takes 2 hours of preparation and 3 hours of finishing. To pour a concrete patio takes 4 hours of preparation and 3 hours of finishing. There are 8 hours available for preparation and 21 hours available for finishing. ABC Concrete Company makes a profit of $450 on a sidewalk and $700 on a patio. How many sidewalks and patios should the company construct to maximize its profit?
Set up a system of inequalities for this problem, identify all variables used, and give the objective function, but do not solve.

Click here to see answer by stanbon(75887)

Question 304709: A bag contains 19 balls numbered 1 through 19. What is the probability that a randomly selected ball has an even number?
Click here to see answer by Claire.123(5)

Question 304950: A manufacturer claims that the mean lifetime, , of its light bulbs is months. The standard deviation of these lifetimes is months. One hundred bulbs are selected at random, and their mean lifetime is found to be months. Can we conclude, at the level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from months?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table.
1. The null hypothesis?
2. The alternative hypothesis?
3. The type test statistic
4. The value of the test statistic
5. The p value
6. Can we conclude that mean lifetime of the light bulbs may by this manufacturer differs from 45 months.
Click here to see answer by stanbon(75887)

Question 305012: I have five identical keys on a ring two of which will open the door what is the probability that i will get door open on the first or second try.
Click here to see answer by richwmiller(17219)

Question 304797: The mean height of a certain kind of plant is 135 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 135 . State the null hypothesis and the alternative hypothesis that we would use for this test.

Click here to see answer by stanbon(75887)

Question 305152: Listed below are measured amounts of lead in the air. The EPA has established an air quality standard for lead of 1.5 mg/m3. The measurements shown below were recorded at a building on different days. Use the given values to construct a 95% confidence interval estimate of the mean amount of lead in the air 5.40,0.90,0.46,0.75,0.68,0.90 What is the confidence interval for the population mean
Click here to see answer by stanbon(75887)

Question 305160: The capacity of a lift is 12 people or 2028 pounds. The capacity will be exceeded if 12 people have weights with a mean greater than 2028/12=169 pounds. Suppose the people have weights that are normally distibuted with a mean of 176 pounds and a standard deviation of 33 pounds.
a.Find the probability that if a person is randomly selected, his weight will be greater than 169 pounds
b. Find the probability that 12 randomly selected people will have a mean that is greater than 169 pounds
Click here to see answer by stanbon(75887)

Question 305237: Given a standard deck of playing cards, fin the probability of being dealt a flush. (A flush is a 5 card hand in which all the cards are the same suit.) (State answer as a fraction.)
Click here to see answer by Alan3354(69443)

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