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

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 260100: I am having trouble understanding this. Can someone please help me? The probabilities that a batch of 4 computers will contain 1, 2, 3, and 4 defective computers are 0.6274, 0.3102, 0.0575, and 0.001 respectively. a. Set up a probability distribution to describe this situation. b. Based on these probabilities how many defective computers would you expect to find in this batch? (This would be the mean of the distribution.) c. How much would this value reasonably be expected to fluctuate? (This is the standard deviation.) d. What’s the probability of finding at most 2 defective computers in this batch? Click here to see answer by stanbon(57242)

 Question 259463: A survey done of 25 voters revealed that 17 voters where in favor of a recent change and 8 opposed it. If 6 random voters where chosen from the survey what is the probability that exactly 2 voters where in favor of the change, and exactly 4 opposed it? Click here to see answer by stanbon(57242)

 Question 260126: A researcher with the U.S. Department of Agriculture is conducting an experiment to determine how well certain crops can survive adverse weather conditions. She has gather 6 corn plants, 3 wheat plants, and 2 bean plants. She needs to select 4 plants at random for the experiment. a) In how many ways can this be done? b) If exactly 2 corn plants must be included, in how many ways can the plants be selected? Click here to see answer by stanbon(57242)

 Question 260125: Carol Britz plans to buy shares of two stocks. One costs \$32 per share and pays dividends of \$1.20 per share. The other costs \$23 per share and pays dividends of \$1.40 per share. She has \$10,100 to spend and wants to earn dividends of \$540. how many shares of each stock should she buy? Click here to see answer by stanbon(57242)

 Question 260154: Three couples have reserved seats for a broadway musical. Find how many different ways they can sit if: A) there are no seating restrictions B) two members of each couple wish to sit together Click here to see answer by rfadrogane(214)

 Question 259813: A new cell phone battery is being considered as a replacement for the current one. Ten college student cell phone users are selected to try each battery in their usual mix of “talk” and “standby” and to record the number of hours until recharge was needed. The data is Participant New Battery Old Battery Bob 45 52 May 41 34 Deno 53 40 Sri 40 38 Pat 43 38 Alexis 43 44 Scott 49 34 Aretha 39 45 Jen 41 28 Ben 43 33 a) What are the null and alternative hypotheses to test if the new battery has longer life than the old battery? b) Use Excel to perform the hypothesis test using α = 0.05. c) Draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem. d) What is the p-value for the hypothesis test? Click here to see answer by stanbon(57242)

 Question 259925: State the claim mathematically. Then write the null and alternative hypothesis. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. a. According to fans, the mean score of all NBA games during the last season was less than 100 points per game. Test the claim that the mean score was at least 100 points per game. (2 points) Answer: Claim: the mean score was at least 100 points per game. H0 : µ≥100 Ha : µ<100 Test : left-tailed test b. The IQ of statistics teacher is greater than 130. Test this claim. (2 points) Answer: Claim: The IQ of statistics teacher is greater than 130 H0 : µ=130 Ha : µ>130 Test: Right-tailed test Click here to see answer by onlinetutor365.com(14)

 Question 260164: The lengths of the babies born in city hospital in the last year are normally distributed. The mean length is 20.4 inches, and the standard deviation is 0.8 inch. Trey was 22.3 inches long at birth. a) what percent of the babies born at City Hospital were longer than Trey? b) What percent of the babies born at City Hospital were shorter than Trey? Click here to see answer by stanbon(57242)

 Question 260163: Find a z-score such that 8% of the area under the curve is to the right of z. Click here to see answer by stanbon(57242)

 Question 257773: Question: 3.A local brewery distributes beer in bottles labeled 12 ounces. A government agency thinks that the brewery is cheating its customers. The agency select 20 of these bottles, measures their contents, and obtains a sample mean of 11.7 ounces with a standard deviation of 0.70 ounce. Assume the distribution is normally distributed. Test the agency’s claim that the brewery is cheating its customers a. Use the critical value t0 method from the normal distribution to test for the population mean -symbol is a mean. Test the agency’s claim at the level of significance -symbol is significance of alpha = 0.05. 1. H0 : Ha : 2.  = significance of alpha symbol 3. Test statistics: 4. P-value or critical z0 or t0. 5. Rejection Region: 6. Decision: 7. Interpretation: b. Use the critical value t0 method from the normal distribution to test for the population mean -symbol is a mean. Test the agency’s claim at the level of significance -symbol is signficance of alpha = 0.01 1. H0 : Ha : 2. -symbol is a significance of alpha = 0 3. Test statistics: 4. P-value or critical z0 or t0. 5. Rejection Region: 6. Decision: 7. Interpretation: I have tried to understand this chapter but no luck. Click here to see answer by onlinetutor365.com(14)

 Question 260162: In a small class of 10 students, 3 did not do their homework. The professor selects half of the class to present solutions to do homework problems on the board, and records how many of those selected did not do their homework. A. give a probability distribution b. sketch its histogram c. find expected value Click here to see answer by edjones(7569)

 Question 260218: If I roll a standard 6-faced die three times, what is the probability that I roll at least one 6? Express your answer as a common fraction. Click here to see answer by stanbon(57242)

 Question 260208: If a multiple choice test consist of 5 question each with four possible answers of which only one is correct , in how many different ways can a student check one of the question? Click here to see answer by stanbon(57242)
 Question 260208: If a multiple choice test consist of 5 question each with four possible answers of which only one is correct , in how many different ways can a student check one of the question? Click here to see answer by richwmiller(9135)

 Question 260252: An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. Use a level of significance of  = 0.01 to test the airlines claim. (Round phat to 4 decimal places.) (References: examples 1 through 3 pages 408 - 410, end of section exercises 9 - 14 pages 411 - 412) (6 points) 1. H0 : Ha : 2.  = 3. Test statistics: 4. P-value or critical z0 or t0. 5. Rejection Region: 6. Decision: 7. Interpretation: Click here to see answer by stanbon(57242)

 Question 259277: please help!!!!!!!!!!!!! frequency distribution for the number of errors that teacher made in a quiz errors frequency 0 - 2 14 3 - 5 1 6 - 8 9 9 - 11 19 12 - 14 17 find the mean, variance, and standard deviation. thank inadvance Click here to see answer by stanbon(57242)

 Question 260304: A jar contains a total of 20 marbles that are blue, green, or white. The number of white marbles is three more than the number of green marbles, and the number of blue marbles is one more than twice the number of green marbles. (a) There are ____ green marbles, ____ white marbles, and ____ blue marbles in the jar. One marble is randomly selected, its color is noted, and it is returned to the jar. A second marble is randomly selected and its color is noted. (b) The probability that both marbles selected are blue is_____ . (c) The probability that the first marble selected is green and the second marble selected is white is_____ . (d) The probability that one of the marbles selected is red is_____ . Click here to see answer by stanbon(57242)

 Question 260295: Question: In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Find the equation of the regression line for the given data. Round the line values to the nearest two decimal places: Answer: 9 (7187.77)-(112.9)(532.8)/square root 9(1521.39)-112.9*112.9 square root 9 (33,836.58)-532.8*532.8=453.6/square root 9.46 square root 2.06= Using the equation found in part a, predict the bushel yield when the rainfall is 11 inches. Round to the nearest bushel. Click here to see answer by stanbon(57242)

 Question 260293: Question: 2.Construct a scatter plot and include the regression line on the graph using excel for the given data. Determine whether there is a positive linear correlation, negative linear correlation, or no linear correlation. Complete the table and find the correlation coefficient r In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Rain fall, x 10.5 8.8 13.4 12.5 18.8 10.3 7.0 15.6 16.0 Yield, y 50.5 46.2 58.8 59.0 82.4 49.2 31.9 76.0 78.8 Scatter plot with regression line : I have already done this part Type of correlation (positive linear correlation, negative linear correlation, or no linear correlation) Answer: positive linear correlation Complete the table and find the correlation coefficient r rounded to 4 decimals. n=9 r= 9(7187.77)-(112.9)(532.8)/square root 9 (1521.39)-112.92 square root 9 (33,836.58)-532.8*532.8=453.6/square root 9.46 square root 2.06= Using the r calculated in problem 2c test the significance of the correlation coefficient using  = 0.01 and the claim rho = 0. Use the 7-steps hypothesis test shown at the end of this project. (Note: Round the computed t to 3 decimals.) 1. H0 : Ha : 2.  this symbol means Specify the level of significance alpha = 3. Find the test statistic :t= r/square root 1-r^2/n-2 4. the critical value(s) t0. 5. Rejection region: 6. Decision: 7. Interpretation: Find the test statistic :t= r/square root 1-r^2/n-2 Click here to see answer by stanbon(57242)

 Question 260359: 2. Use the method specified to perform the hypothesis test for the population mean . A local brewery distributes beer in bottles labeled 32 ounces. A government agency thinks that the brewery is cheating its customers. The agency select 50 of these bottles, measures their contents, and obtains a sample mean of 31.6 ounces with a population standard deviation of 0.70 ounce. At  = 0.01, test the agency’s claim that the brewery is cheating its customers a. Use the critical value z0 method from the normal distribution. (References: example 7 though 10 pages 385 - 388, end of section exercises 39 – 44 pages 392 - 393) (5 points) 1. H0 : Ha : 2.  = 3. Test statistics: 4. P-value or critical z0 or t0. 5. Rejection Region: 6. Decision: 7. Interpretation: Click here to see answer by stanbon(57242)

 Question 260372: Two trains leave the same station at the same time and travel in opposite directions. One train travels at 80 kilometers per hour and the other at 100 kilometers per hour. In how many hours will they be 900 kilometers apart? Click here to see answer by richwmiller(9135)

 Question 260390: An airplane is climbing at an angle of 11° with the ground. Find, to the nearest foot, the ground distance the airplane has traveled when it has attained an altitude of 400 feet. Click here to see answer by drk(1908)

 Question 260400: THERE ARE 14 BOYS AND 16 GIRLS IN A CLASS. THE HEAD TEACHER SELECTS 1 PUPIL AT RANDOM WHAT IS A PROBABILITY THAT THIS PUPIL IS A) A BOY. B) A GIRL. Click here to see answer by richwmiller(9135)

 Question 260395: How many ways can 15 offices be painted with 4 different colors? I tried to multiply 15 by 4 but I figured that 60 wasn't a big enough number. Click here to see answer by drk(1908)

 Question 260461: 11.24 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 drk(1908)

 Question 260388: I am not quite understanding this question and need help in solving. Can someone please help me? A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Determine the probability of success (p), the mean and the standard deviation for the number of drivers involved in a car accident last year in a sample of 25. Click here to see answer by bigjpaw(1)

 Question 260524: in a homicide case 7 different witnesses picked the same man fom a line up. the line up contained 5 men. if the identifications were made by random guesses, find the probability that all 7 witnesses would pick the same person. Click here to see answer by drk(1908)

 Question 260598: when you roll 3 number cubes, what is the probability that the product of the numbers would be greater than 200 Click here to see answer by stanbon(57242)

 Question 260675: A production line involves the useof three machines consecutively.The chance that the first machine will breakdown in any one week is 0.1,for the second machine to breakdown is 0.05 and for the third to breakdown is 0.025.What is the probability that(a)there will be no breakdown? b)at least vtwo of the machines break down in a certain week? Click here to see answer by Theo(3458)

 Question 260671: A lorry manufacturer in Africa claims the average annual maintanance cost for its vehicles is \$500.The maintanance department of one of their customersin Kadoma Indstrial estate believes it to be higher and testss this by selecting a random sample of 6 lorries.The saple gives a mean annual maintanance cost of \$555 with a standard deviation of \$75. Use an appropriate hypothesis test at the 5% significance level to see if the manufacturer's claim is true Click here to see answer by stanbon(57242)

 Question 260660: How many numbers from 1 to 20 inclusive must be on a blackboard before the probability of two of them being the same is greater than 1/2? Click here to see answer by stanbon(57242)

 Question 260694: A standard deck of cards has 52 cards (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K) in four suits (Spades, Hearts, Diamonds, and Clubs). A card is drawn from the top of the deck. What is the probability that the card is a red king? Click here to see answer by Theo(3458)

 Question 260721: There are 9 members on a board of directors. If they must form a subcommittee of 5 members, how many different subcommittees are possible? Click here to see answer by Fombitz(13828)

 Question 260717: Suppose you are playing a game of chance. If you bet \$5 on a certain event, you will collect \$200 (including your \$5 bet) if you win. find the odds used for determining the payoff? Click here to see answer by edjones(7569)

 Question 260716: If a game were "fair," the payoff on a bet would be the same as the odds for the event. In one game, the odds for winning are 1:13. If the game were "fair," what would the payoff be for a \$5 bet? Of course, game in casinos are designed to make a profit for the casino investors. Supposing the casino makes the payoff at 1:11 odds, what profit does the casino make on your winning bet? Click here to see answer by edjones(7569)

 Question 260803: A student is taking a MC test in which the question has four possible answers. She knows the answers to 50%, can narrow choices down to two for 30% of the time, and does not know anything about 20% of the questions. What is the probability she will correctly answer a question chosen at random from thw test? Click here to see answer by Greenfinch(383)

 Question 260849: Find the p-value: Comparison of average commute miles for randomly chosen students at two community colleges: Ż x1 = 15, s1 = 5, n1 = 22, Ż x2 = 18, s2 = 7, n2 = 19, α = .05, two-tailed test. Click here to see answer by stanbon(57242)

 Question 260846: a police department reports that the probabilities that 0,1,2,3, and 4 car thefts will be reported in a given day ar 0.150 0.284, 0.270, 0.171, and 0.081, respectively? Click here to see answer by stanbon(57242)

 Question 261028: I really need help with this problem. An experimental surgical procedure is being studied as an alternative to the old method. Both methods are considered safe. Five surgeons perform the operation on two patients matched by age, sex, and other relevant factors. Old Way... New Way (in minutes) Surgeon 1 36... 29 Surgeon 2 55... 42 Surgeon 3 28... 30 Surgeon 4 40... 32 Surgeon 5 62... 56 a) What is the appropriate null and alternate hypothesis to determine if the new way of performing the surgery is faster than the old way. b) Using α = 0.05, what is the critical value for the hypothesis test? c) What is the test statistic for the hypothesis test? You may find it helpful to use excel to calculate D for each surgeon, the average D and the standard deviation of the Ds. d) Draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem. e) What is the p-value for the hypothesis test For the differences i did NEW - OLD for part B i got -2.132 for part C i got -2.64 for part D i got Reject Ho For part E i got .0291 AM I CLOSE TO GETTING THIS RIGHT? thanks Click here to see answer by stanbon(57242)

 Question 261086: 10.55 Cash withdrawals (in multiples of \$20) at an on-campus ATM for a random sample of 30 Fridays and 30 Mondays are shown following. At α = .01, is there a difference in the mean ATM withdrawal on Monday and Friday? (a) Make stacked dot plots of the data (a sketch is OK). (b) State the hypotheses. (c) State the decision rule and sketch it. (d) Find the test statistic. (e) Make a decision. (f) Find the p-value and interpret it. Randomly Chosen ATM Withdrawals (\$) Friday Monday 250 10 10 40 30 10 20 10 30 100 70 370 110 20 10 20 20 10 40 20 40 30 50 30 70 10 10 200 20 40 20 20 400 20 30 20 10 20 10 10 20 100 50 20 10 30 40 20 100 20 20 50 10 20 20 60 70 60 10 20 Click here to see answer by stanbon(57242)

 Question 261229: For a sample of her best sales staff, Dolores O'Riordan found their score on the Sell Anything to Anyone Test. The scores are listed below: 32 31 36 49 35 38 33 30 53 30 40 34 39 35 33 45 41 42 Construct a relative frequency distribution and a cumulative frequency distribution using five equal sized class intervals of width five beginning with a lower class limit of 30. Click here to see answer by stanbon(57242)

 Question 261225: John has 8 white socks, 6 blue socks, and 5 black socks. a) How many socks does he need to pull out to be sure he has a pair of socks? b) How many socks does he need to pull out to be sure he has a pair of black socks? Click here to see answer by richwmiller(9135)
 Question 261225: John has 8 white socks, 6 blue socks, and 5 black socks. a) How many socks does he need to pull out to be sure he has a pair of socks? b) How many socks does he need to pull out to be sure he has a pair of black socks? Click here to see answer by stanbon(57242)

 Question 261220: Match each variable with the term that best applies. Each may be used more than once or not at all. a. Measure of Center b. Measure of Dispersion c. Measure of Position * The Population Mean __ * The forty-sixth percentile __ * The Variance __ * The Range __ * The Z Score __ * The Second Quartile__ * The Sample Standard Deviation __ * The Mode Click here to see answer by stanbon(57242)

 Question 261174: a poll of 1100 randomly selected students in grades 6 through 8 was conducted and found that 47% enjoy playing sports. would confidence in the results increase if the sample size were 3600 instead of 1100? why or why not? Click here to see answer by stanbon(57242)

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