# 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 122351: A and B are independent events. Find the missing probability. P(A)= 3/7, P(A and B)= 1/3. find P(b) Click here to see answer by stanbon(57387)

 Question 122387: What does a worksheet mean if it says imagine having a dice or something and find different events of probability of it..?? Thanks! Click here to see answer by solver91311(16897)

 Question 121695: Hi Can any one help me out with this prob. There are three blue marbles, three red marbles , and three yellow marbles in a bowl. What is the probability of selecting exactly one red marble from the bowl after three successive marbles are withdrawn from the bowl? Click here to see answer by stanbon(57387)

 Question 122475: Tests of Hypothesis 18) The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using the .10 level of significance, can we conclude that the assembly time using the new method is faster? Click here to see answer by Edwin McCravy(8909)

 Question 122320: Elliot began the journey at 8am at 40 kilometers per hour. Benita began to chase him at 11 am at 50 kilometers per hour. What time was it when Bernita got within 60 kilometers of Elliot? Click here to see answer by ankor@dixie-net.com(15660)

 Question 122520: Here is the question and the answer that I came up with. My answer does not match what the textbook shows is the correct answer (which is 0.738, yes). What did I do wrong? 11. Mendelian Genetics. When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of ¾ that was expected? p0 = 428/(428 + 152) = 0.737931 Hypotheses: H0: p = 0.75 vs Ha: p 0.75 Level of Significance:  Decision Rule: Reject the null hypothesis if |z| > z0.025 = 1.956 Calculation: z = -0.67125 Conclusion: Since |z| < 1.956, the null hypothesis is not rejected. Therefore, there is insufficient evidence to conclude that the result is different from the probability of ¾ that was expected. Click here to see answer by stanbon(57387)

 Question 122477: Tests of Hypothesis 23) Experience raising New Jersey Red chickens revealed the mean weight of the chickens at five months is 4.35 pounds. The weights follow the normal distribution. In an effort to increase their weight, a special additive is added to the chicken feed. The subsequent weights of a sample of five-month-old chickens were (in pounds): 4.41 4.37 4.33 4.35 4.30 4.39 4.36 4.38 4.40 4.39 At the .01 level, has the special additive increased the mean weight of the chickens? Estimate the p-value Click here to see answer by stanbon(57387)

 Question 122474: For Exercises 5–8: (a) State the null hypothesis and the alternate hypothesis. (b) State the decision rule. (c) Compute the value of the test statistic. (d) What is your decision regarding H0? (e) What is the p-value? Interpret it. 5) The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. The standard deviation of the mileage is 5,000 miles. The Crosset Truck Company bought 48 tires and found that the mean mileage for their trucks is 59,500 miles. Is Crosset's experience different from that claimed by the manufacturer at the .05 significance level? Click here to see answer by stanbon(57387)

 Question 122730: This is homework and again, I need help!! A research firm wants to compare the miles per gallon of unleaded regular, mid-grade,and super premium gasolines. Because of differences in the performance of different automobiles, seven different automobiles were selected and treated as blocks. Therefore, each brand of gasoline was tested with each type of automobile. The results of the trials, in miles per gallon, are shown in the following table. At the .05 significance level, is there a difference in the gasolines and automobiles? Automobile Reg Mid. Super 1 21 23 26 2 23 22 25 3 24 25 27 4 24 24 26 5 26 26 30 6 26 24 27 7 28 27 32 Click here to see answer by stanbon(57387)

 Question 122733: A sample of employees at a large chemical plant was asked to indicate a preference for one of three pension plans. The results are given in the following table. Does it seem that there is a relationship between the pension plan selected and the job classification of the employees? Use the .01 significance level. Pension Plan Job Class Plan A Plan B Plan C supervisor 10 13 29 clerical 19 80 19 labor 81 57 22 If needed I can email this plan if it makes it easier to understand. Click here to see answer by stanbon(57387)

 Question 122966: The more sucessful professionals had vocabularies that were 280 percent larger than those who were less sucessful. If those who were less successful knew 4800 words how many words did those who were more successful know? Click here to see answer by stanbon(57387)

 Question 123123: Those methods involving the collection, presentation, and characterization of a set od data in order to properly describe the various features of that set of data are called: Click here to see answer by stanbon(57387)

 Question 122965: The general expression for consecutive multiples of 5 is 5N, 5(N+1), 5(N+2), and so on, where N is some unspecified integer. Find four consecutive multiples of 5 ssuch that 6 times the first is 40 times greater than 2 times the sum of the second and fourth. Click here to see answer by stanbon(57387)

 Question 122963: At 5 pm Roger zoomed off from Asteroid. One hour later, Maryanne zoomed off from Asteroid in the opposite direction at a speed 400 kph less than that of Roger. If they were 7900 km apart at 11 p.m how fast did each travel? Click here to see answer by stanbon(57387)

 Question 122930: Hypothesis Testing Please help in answering this question Please it's due by Monday Night 44) A recent article in the Wall Street Journal reported that the 30-year mortgage rate is now less than 6 percent. A sample of eight small banks in the Midwest revealed the following 30- year rates (in percent): 4.8 5.3 6.5 4.8 6.1 5.8 6.2 5.6 At the .01 significance level, can we conclude that the 30-year mortgage rate for small banks is less than 6 percent? Estimate the p-value. Click here to see answer by stanbon(57387)

 Question 122913: Can you please help me try to solve the following problem! Hypothesis Tests 18) The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using the .10 level of significance, can we conclude that the assembly time using the new method is faster? Click here to see answer by stanbon(57387)

 Question 123192: THis is homework can you help? Suppose that the heights of adult women in the United States are normally distributed with a mean of 64.5 inches and a standard deviation of 2.4 inches. Jennifer is taller than 80% of the population of U.S. women. How tall (in inches) is Jennifer? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place. Click here to see answer by Edwin McCravy(8909)

 Question 123376: Please help solve: Why is it important to ensure that an experimental sample is totally random? WHICH answers apply: 1). Assure a good representation of each part of the population. 2). Reduce factors that could bias the results of the test. 3). Minimize the number of outside factors that might affect the test. 4). Increase the change that the test results are sucessful. 5). Reduce the number of tests that must be performed. 6). provide an adequate number of volunteers for the test. I chosen 2,3,4, and 6. Iam I correct? thanks Click here to see answer by xxlovedxxfreakxx(1)

 Question 123520: For every 210 highschool students there are 5880 people living in the community. If the community has 1325 high school students, how many people live in the community? Click here to see answer by rajagopalan(158)

 Question 123377: Please help solve: A survey was sent to a group of randomly chosen people over the internet. It poses questions about the importance of technology in america. What factors might bias the results of this survey? 1) Internet sites can only handle a limited number of users at a time. 2) Internet use is avaiable internationally, not just in america. 3) Internet surfers would not spend the time to complete the surveys. 4) Internet acess is avaiable at all times, day and night. 5) Internet acess is often not as avaiable to disadvantage people. I chosen the answers: 2, 3, and 5. Is this correct. thanks. Click here to see answer by stanbon(57387)

 Question 123517: The number of blocking pansies increased by 160% overnight. If they numbered 117 in the morning how many pansies had bloomed before nightfall? Click here to see answer by stanbon(57387)

 Question 123663: Please help me understand this problem I am having major difficulties understanding this! Chapter 11: Two-Sample Tests of Hypothesis 43) Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, they use different media to reach potential buyers. The mean annual family income for 75 people making inquiries at the first development is \$150,000, with a standard deviation of \$40,000. A corresponding sample of 120 people at the second development had a mean of \$180,000, with a standard deviation of \$30,000. At the .05 significance level, can Fairfield conclude that the population means are different? Click here to see answer by stanbon(57387)

 Question 123662: Please help me understand this problem I am having major difficulties understanding this! Chapter 11: Two-Sample Tests of Hypothesis 21) The management of Discount Furniture, a chain of discount furniture stores in the Northeast, designed an incentive plan for salespeople. To evaluate this innovative plan, 12 salespeople were selected at random, and their weekly incomes before and after the plan were recorded. Salesperson Before After Sid Mahone \$320 \$340 Carol Quick 290 285 Tom Jackson 421 475 Andy Jones 510 510 Jean Sloan 210 210 Jack Walker 402 500 Peg Mancuso 625 631 Anita Loma 560 560 John Cuso 360 365 Carl Utz 431 431 A. S. Kushner 506 525 Fern Lawton 505 619 Was there a significant increase in the typical salesperson's weekly income due to the innovative incentive plan? Use the .05 significance level. Estimate the p-value, and interpret it. Click here to see answer by stanbon(57387)

 Question 123658: Please help me understand this problem I am having major difficulties understanding this! Chapter 11: Two-Sample Tests of Hypothesis 17) Ms. Lisa Monnin is the budget director for Nexus Media, Inc. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information. Sales (\$) 131 135 146 165 136 142 Audit (\$) 130 102 129 143 149 120 139 At the .10 significance level, can she conclude that the mean daily expenses are greater for the sales staff than the audit staff? What is the p-value? Click here to see answer by stanbon(57387)

 Question 124008: find the probability for rolling a numbered cube. P(rolling a 5, then an even number) Click here to see answer by Edwin McCravy(8909)

 Question 123913: I am new to Statisitics and having problem understanding this question. Kindly help me. In a certain microwave oven on the high power setting, the time it takes a randomly chosden kernel of popcorn to pop is normally distributed with the MEAN of 150 seconds and a standard deviation of 25 seconds. What percentage of the kernels will fail to pop if the popcorn is cooked for a) 2 minutes b) 3 minutes c) if you wanted 95% of the kernels to pop, what time would you allow? d) if you wanted 99% to pop Thank you Click here to see answer by stanbon(57387)

 Question 123656: Please help me understand this problem I am having major difficulties understanding this! Chapter 11: Two-Sample Tests of Hypothesis 2) A sample of 65 observations is selected from one population. The sample mean is 2.67 and the sample standard deviation is 0.75. A sample of 50 observations is selected from a second population. The sample mean is 2.59 and the sample standard deviation is 0.66. Conduct the following test of hypothesis using the .08 significance level. Ho: u1 < u2 Ho: u1 > u2 A. Is this a one-tailed or a two-tailed test? B. State the decision rule. C. Compute the value of the test statistic. D. What is your decision regarding H0? E. What is the p-value? Click here to see answer by stanbon(57387)

 Question 123499: please help solve: A student is measuring the height of a tree using its shadow and using indirect measurements. There is a pole next to the tree. Which of the following information is needed to find the height of the tree. 1) lenght of the tree shadow. 2) lenght of the pole shadow. 3) height of the pole. 4) Angle of the sun with the horizon. 5) Distance from the earth to the sun. 6) Distance from the tree to the pole. 7) Diameter of the tree. 8) Diameter of the pole. I choose the answers 1,3,6,7, is this correct Click here to see answer by stanbon(57387)

 Question 123510: Karen left her house heading east and her sister left two hours later heading west at a rate 5 mph faster than Karen. 6 hours after Karen left she and her sister were 600 miles apart. How fast was Karen moving? Click here to see answer by stanbon(57387)

 Question 124184: Appreciate your help in accomplishing this problem. This is an instructor generated question and having problems understanding and getting started. A basketball player makes free throw shots 80% of the time. If the player attempts 10 free throw shots, a. What is the expected value (mean) of the number of free throw shots the player makes b. What is the standard deviation of the number of free throw shots the player makes? c. What is the probability that the player makes at least three shots? d. What is the probability that the player makes between 7 and 9 shots, inclusively? Appreciate any assistance you can provide. (I know we have to a table to assist with finding the solutions) Click here to see answer by stanbon(57387)

 Question 124183: Please help me understand and accomplish the following problem: The average weight of males in the freshman class of a certain college is 75.4 kg, with a standard deviation of 7.6 kg. Assume normal population. Interpret your result in each question. a. What is the probability that the weight of a male freshman randomly selected from this population is greater than 83.5 kg? (believe P(x > 83.5 Kg)) b. What percent of the weights are less than 1.25 sigma or greather than 1.25 sigma? c. What two weights separate the top 25% and bottom 25%, respectively, of the population? d. Assume a sample of 35 weights is selected in random. What is the probability that the average of this sample is greater than 83.5? (believe need to apply Central Limit Theorem) Appreciate your assistance in helping me complete this problem. Click here to see answer by stanbon(57387)

 Question 124182: I thought I understood the material presented in class but need assistance in completing/understanding problem: A student is to use random guessing on a multiple-choice test. Out of five choices, there is only one correct answer for each question. Assume that you will observe the first three guesses by the student. a. Find the sample space. b. Construct a probability distribution for the number of questions answered correctly, x. c. Draw the probability histogram d. find the standard deviation of the number of questions answered correctly e. find the expected value of the number of questions answered correctly f. Give one-, two-, and three sigma interval Appreciate your assistance in getting me started and understanding this better. This is a problem generated by the instructor and really can't find a good reference in the book we are using. Click here to see answer by stanbon(57387)

 Question 123426: P = 2.5V - 500 (P = profit and V = Vistors)--- what does 500 represent? Using this equation to predict thenumber of visitors (V) based on the probablity of rain (R) V = 600 - 500R --- again what does 500 represent and what does "R" have to do with it? the next question is if the probabilit of rain is 25% what is the expected profit? HOW DO I FIGURE THIS OUT please? Click here to see answer by stanbon(57387)

 Question 124839: suppose you choose a letter at random from the word ARITHMETIC.what are the odds in favor of selecting a vowel?what are the odd against selecting a vowel? Click here to see answer by stanbon(57387)

 Question 124888: Suppose you conduct a study and find that the probability of having a baby boy is 60%. Now suppose three of your relatives are going to have babies. a) Build a tree diagram showing all the conditional probabilities and joint probabilities associated with the sex of the three new babies. b) What rule of probability are you using to obtain the joint probabilities and why? In order to answer the “why” part of the question you must tell me why the rule of probability you chose to use applies in this case. c) What is the probability of having one boy and two girls in the three births? Click here to see answer by stanbon(57387)

 Question 124838: a box of crayons contains one crayo of each of the folloeing colors:red,orange,yellow,blue,purple,black,white,pink. (a)what is the probability of NOT choosing a 6-letter color? (b)what is the complement of choosing green? Click here to see answer by stanbon(57387)

 Question 124834: a teacher chooses a student at randmon from a class of 10 boys and 15 girls.Find the odd in favor of,and the odd against,each event. (a)choosing a girl (b)choosing a boy Click here to see answer by stanbon(57387)

 Question 124963: A sample of 20 pages was taken without replacement from the 1,591-page phone directory Ameritech Pages Plus Yellow Pages. On each page, the mean area devoted to display ads was measured (a display ad is a large block of multicolored illustrations, maps, and text). The data (in square millimeters) are shown below: 0 260 356 403 536 0 268 369 428 536 268 396 469 536 162 338 403 536 536 130 (a) Construct a 95 percent confidence interval for the true mean. (b) Why might normality be an issue here? (c) What sample size would be needed to obtain an error of ±10 square millimeters with 99 percent confidence? (d) If this is not a reasonable requirement, suggest one that is. Click here to see answer by stanbon(57387)

 Question 125013: Twice the number of pansies exceeded 4 times the number of daises by 8. Also, 7 times the number of daisies was 4 less than 3 times the number of pansies. How many of each were there? Click here to see answer by checkley71(8403)

 Question 125134: A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477 (a) Construct a 90 percent confidence interval for the true mean weight. (b) What sample size would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence? (c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture. Click here to see answer by stanbon(57387)

 Question 125356: what is the restrictions on a domain of a variable? Click here to see answer by stanbon(57387)
 Question 125356: what is the restrictions on a domain of a variable? Click here to see answer by solver91311(16897)

 Question 125312: A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477 (a) Construct a 90 percent confidence interval for the true mean weight. (b) What sample size would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence? (c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture. Click here to see answer by stanbon(57387)

 Question 125696: looking for the standard deviation for these numbers. 38 45 47 47 48 50 50 52 58 62 62 63 64 68 70 72 72 72 72 74 78 79 80 80 82 84 88 90 94 99 First I add all numbers to find the mean. 2040/30=68 here is where I get lost. I subtract the lowest number from the mean. 38-68=-30 and subtract the largest number from the mean. 99-68=31 I square them and add them together and that is where I get stuck. (-30*-30)=900 (31*31)=961. 900+961=1861 Now am I supposed to divide by 2 or 30 I am a little confused. Darrin Click here to see answer by stanbon(57387)
 Question 125696: looking for the standard deviation for these numbers. 38 45 47 47 48 50 50 52 58 62 62 63 64 68 70 72 72 72 72 74 78 79 80 80 82 84 88 90 94 99 First I add all numbers to find the mean. 2040/30=68 here is where I get lost. I subtract the lowest number from the mean. 38-68=-30 and subtract the largest number from the mean. 99-68=31 I square them and add them together and that is where I get stuck. (-30*-30)=900 (31*31)=961. 900+961=1861 Now am I supposed to divide by 2 or 30 I am a little confused. Darrin Click here to see answer by solver91311(16897)

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