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

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Question 507442: A professor at a local university noted that the grades of her students were normally distributed with a mean of 78 and a standard deviation of 15. Overall 5 students failed the test, how many students were enrolled in her course?
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Question 507430: use the given confidence interval limits to find the point estimate and the margin of error for the equation: 0.772 is less than p and p is less than 0.776
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Question 507805: in a set of 15 tools, 2 are defective and the remaining 13 are good. A QC person randomly selects 3 of the 15 tools without replacemnt and classifies each as defective or good. How many elementary events does this sample space have?
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Question 507804: CAN I HAVE ANSWER FOR THIS QUESTION PLEASE????

IF PIZZA SHOP HAD AN OFFER ON PIZZA WITH "THREE TOPPINGS" AND THE COSTUMERS HAVE RANGE OF 12 TOPPINGS
1> WHAT IS THE PROBABILITY FROM 1000 PIZAA ,EXACTLY TWO ORDERS ARE EXPECTED THE SAME
2> WHAT IS THE PROBABILITY FROM 1000 PIZZA ORDERS ,AT LEAST TWO ORDERS EXPACTED THE SAME
3> IS THIS PROBABILITIES IS TRULY REFLECTED REAILITY AND WHY?
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Question 507795: A bag contains 20 tennis balls which 4 are defective. If two balls are selected at random from the bag, what is the probability that both are defective?
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Question 507789: A bag contains 5 red balls and n green balls. If the probabilit y of drawing a green ball
is three times that of a red ball then what is the value of n?
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Question 507781: IN A GAME OF 52 DECKS of cards, i will receive 50 if the card is drawn is an ace and 20 if it's a king. i pay 5 if any other card drawn. find the expected value
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Question 507846: A health class has 23 women and 18 men. If a student is chosen randomly to be the team leader, what is the probability the student is a woman?
0.439
0.561
0.23
0.77
Click here to see answer by oberobic(2304)

Question 507845: A recent poll by the diabetes association found that 30% of those surveyed are worried about developing renal failure. If 3 people are selected at random, what is the probability that all 3 will be worried about developing renal failure.
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Question 507810: Problems 10, 11, 12, and 13 below refer to the "cognitive ability" scores for a sample of students:
Cognitive Ability Relative Frequency
90 ---- 0.08
95 ---- 0.21
100 ---- 0.04
105 ---- 0.15
110 ---- 0.07
115 ---- 0.18
120 ---- 0.05
125 ---- 0.22
Total 1.00

Problem #10:
What is the estimated probability that a randomly selected student from the sample has a score that is more than 115?
Problem #11:
What is the estimated probability that a randomly selected student from the sample has a score that is 110 or more?
Problem #12:
What is the estimated probability that a randomly selected student from the sample has a score that is 105 or less?
Problem #13:
What is the estimated probability that a randomly selected student from the sample has a score that is less than 115?

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Question 508283: Suppose that three students are selected at random from your class. What is the probability that at least one of these three students has a birthday this month?
Click here to see answer by swincher4391(1107)

Question 508338: A sample of 120 creative artists is used to test whether creative artist are equally likely to have been born under any of the twelve astrological signs. Assuming that the twelve astrological sign each contain an equal number of calendar days, the expected frequency for each category equals.
a. 5
b. 10
c. 12
d. 120
Click here to see answer by richard1234(7193)

Question 508346: IN A GROUP THERE ARE 70% OF PERSONS ARE MALES AND TWO SEVENTH OF THEM ARE MARRIED AND TOTALLY 30%OF THE MENBERS ARE FEMALES. WHAT FRACTION OF THE FEMALES ARE SINGLE

Click here to see answer by Theo(13342)

Question 508348: Three machines X, Y, Z are produced respectively 50%, 30% and 20% of the total number of items in a factory. The output of these machines is 3%, 4% and 5% respectively. If an item is selected at random, find
(i) The probability that the item is defective
(ii) Probability that the item is produced by machine X, machine Y, machine Z?

Click here to see answer by Theo(13342)

Question 508317: What is the probability that the student is a sophomore given he doesn't carry a credit card?
Class Credit Card Carrier Not a Credit Card Carrier Total
Freshman 33 27 60
Sophomore 6 24 40
Total 39 61 100

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Question 508372: the number of marbles in jar A is 4 times than in jar B.If 96 marbles are transferred from jar A to jar B,the number of marbles in jar B will become 4 times than in jar A.Find the total number of marbles in both jar?

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Question 508356: the price of certain commodity increases by 20% in 1991 and by 30% in 1992 and by 45% in 1993. what is the average percentage rate in the price of the commodity?
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Question 508294: A study conducted by the research department of a pharmaceutical company claims that the annual spending (per person) for prescription drugs for allergy relief, m1, is greater than or equal to the annual spending (per person) for non-prescription allergy relief medicine, m2. A health insurance company conducted an independent study and collected data from a random sample of 205 individuals for prescription allergy relief medicine. The sample mean is found to be 17.8 dollars/year, with a sample standard deviation of 5.5 dollars/year. They have also collected data for non-prescription allergy relief medicine. An independent random sample of 235 individuals yielded a sample mean of 18.2 dollars/year, and a sample standard deviation of 4.1 dollars/year. Since the sample size is quite large, it is assumed that the population standard deviation of the sales (per person) for prescription and non-prescription allergy relief medicine can be estimated by using the sample standard deviation values given above. Is there sufficient evidence to reject the claim made by the research department of the company, at the 0.1 level of significance? Perform a one-tailed test.
I believe my null is h0:m1>=M2
alternative is h1:m1 I also believe that it needs to be a ztest, and I must find the p value along with deciding if the 0.1 level of significance can be rejected.
I believe that I need to do a z-test, but it may need to be a chi-square, t, or f if I am not thinking in the right processes.
Click here to see answer by stanbon(75887)

Question 508401: If I have an urn with an infinite number of marbles, 1/3 white, 1/3 blue and 1/3 red. If I claim clairvoyance and am blindfolded, how many marbles do I need to pick up and correctly color code until it can be ascertained with a 95% probability that I am actually clairvoyant?
Click here to see answer by Edwin McCravy(20054)

Question 508442: how many different ways can u select one or more coins if u have 2 nickels, 1 dime and 1 half dollar
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Question 508452: assume the scores on an achievent test taken by fifth graders are normally distributed with M=57 an Sd=7.5.
a. what % of student scored above the mean/
b.above what raw score do 5% of scores fall?
c. what % of students scored below a score of 50?
d. between what 2 raw scores do the middle 50% of these scores fall.
need to undersatnd the correct way to solve these types of problems.
green_m1@yahoo.com
Click here to see answer by stanbon(75887)

Question 491029: Trowbridge Manufacturing produces cases for personal computers and other electronic equipment. The quality control inspector for this company believes that a particular process is out of control. Normally, only 5% of all cases are deemed defective due to the discolorations. If 6 such cases are sampled, what is the probability that there will be 0 defective cases if the process is operating correctly? What is the probability that there will exactly 1 defective case?

Click here to see answer by aliza(1)

Question 508575: A set of mid term examination grades in an undergraduate introductory statistics course at a large public university (i.e., there were lots of students) was found to be normally distributed with a mean of 73 and a standard deviation of 8.
1. What is the probability of getting between a 60 and 70 on this exam?
Click here to see answer by stanbon(75887)

Question 508353: Let b be a positive integer. If you determined the sum of b factorial (b!) where b goes from 1 to 2000 what would be the last two digits (ones and tens digit) of the sum?
Click here to see answer by richard1234(7193)

Question 508859: The average playing time of compact discs in a large collection is 35 min, and the standard deviation is 4 min.
1.)Assuming that the distribution of times is normal, approximately what percentage of times are between 27 and 43 min? (Round the answers to two decimal places, if needed.)
2.)Less than 23 min or greater than 47 min?
3.)Less than 23 min?
Click here to see answer by edjones(8007)

Question 509051: whats is the mean, maiden
Click here to see answer by bucky(2189)

Question 509127: a bag contains red and blue marbles. you pick two marbles at random without replacing the first one. The probability of drawing a blue and then a red is 4/15. The probability that your second marble is red if your first marble is blue is 2/3. Find the probability that the first marble is blue.
Click here to see answer by stanbon(75887)

Question 509132: A large group of senior citizens enrolled for adult evening classes at a university. To get a quick check on whether there has been an increase from last year's average age of 65.4 years, the director of the program takes a random sample of 15 of the enrollees, getting 68, 62, 70, 64, 61, 58, 65, 86, 88, 62, 60, 71, 60, 84, and 61 years
Click here to see answer by stanbon(75887)

Question 509126: If 50 people were randomly sampled, what is the probability that fewer than 35 would consider company sponsored training programs as a factor to consider when taking a job?
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Question 509110: Test scores in a college course have a mean of 68.7 and a standard deviation of 20.6. What percentage of 25 students chosen at random passed the test?

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Question 509038: A company is studying the number of daily debit card purchses. If there were 20 purchases and the probability of a debit card purchase is 0.5.
a. what is the standard deviation of the number of debit card purchases
b. based on the shape of the distribution approx 99.7% should be between__and __
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Question 508994: Find the probability that of 25 randomly selected students, at least two share the same birthday
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Question 508946: Hypothesis test for the population mean: t test
An electronics manufacturing process has a scheduled mean completion time of 70 minutes. It is claimed that, under new management, the mean completion time, , is less than 70 minutes. To test this claim, a random sample of 17 completion times under new management was taken.
The sample had a mean completion time of 66 minutes and a standard deviation of 9.5 minutes. Assume that the population of completion times under new management is normally distributed. At the .05 level of significance, can it be concluded that the mean completion time, , under new management is less than the scheduled mean? That is, do you reject or not reject the null hypothesis? What is the critical value of t? Explain your decision fully with reference to the output.
Perform a one-tailed test.
Hypothesis Test: Mean vs. Hypothesized Value

70.00 hypothesized value
66.00 mean Etext1
9.50 std. dev.
2.30 std. error
17 n
16 df

-1.74 t
.0509 p-value (one-tailed, lower)

61.12 confidence interval 95.% lower
70.88 confidence interval 95.% upper
4.88 half-width

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Question 509112: 1. Given the situation described, identify the type of sampling involved. A library
assigns a call number to each of its books. Using a random number generator, 150
unique call numbers are selected. The books associated with these call numbers are
pulled from the shelf and examined for signs of damage.
(Points : 5)
random sampling
systematic sampling
convenience sampling
stratified sampling
cluster sampling
2. The number of baby deliveries in a medium sized hospital was sampled over 12
hour periods. Below is the sample:
24 16 7 15 11 14 7 16 22 17
22 16 9 17 14 5 16 11 17 19
21
3. From this above data set, compute the sample mean, median, mode and midrange. Compute the 1st quartile and 3rd and interpret their meanings.
4. The number of surfer�s special burritos served was sampled during a lunch period 11:00 a.m. � 2:30 p.m. at a taco shop on a weekday. Below is the sample:
41 63 39 56 46 55 38 66 41 48
60 57 48 31 71 56 60 39 52
Construct a stem and leaf plot of the data.
5.The National Association for Women in Science asked recent high school grads if they had taken certain science classes. Of those surveyed, 32 said they had taken physics, 51 said they had taken chemistry and 15 said they had taken both. Ten said they had taken neither. How many recent high school grads were surveyed? Show your work.
Click here to see answer by stanbon(75887)

Question 508918: With one method of the procedure called acceptance sampling, a sample of items is randomly selected without replacement , and the entire batch is rejected if there is at least one defect. The Newport Gauge Company has just manufactured a batch of aircraft altimeters and 3% are defective.
Question: If the batch contains 4000 altimeters and 100 of them are selected without replacement and tested, what is the probability that the entire batch will be rejected?
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Question 508885: What is the total number of outcomes in the sample space if an experiment has 5 outcomes on the first trial, 2 outcomes on the second trial, 5 outcomes on the third trial, and 6 outcomes on the fourth trial. Enter your response as an integer.
Click here to see answer by stanbon(75887)

Question 508913: The length of stay (in hours) for a sample of 12 pneumonia patients at Santa Theresa Memorial Hospital was found to have a mean of 126 hours and a standard deviation of 21.663 hours. Find the 90 percent confidence interval on the standard deviation of the length of stay.
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Question 508826: I need help with a probability question; A student is taking 2 courses, History and Math. The probability of passing Hstory is .60 and Math.70., both .50. What is the probability of passing at least 1? Thanks for the assistance. e-mail jeff.lewis2@insightbb.com
Click here to see answer by stanbon(75887)

Question 509165: What are your odds of getting 80% (120 out of 150) by chance?
Click here to see answer by stanbon(75887)

Question 509158: 2. A bag contains 3 marbles: a red one, a blue one, and a yellow one. Suppose that two marbles are selected without replacement.
(a) How many outcomes are in the sample space? List them \
(b) What is the probability that a red marble, and then a yellow marble (in that order) are selected?
(c) What is the probability that a red marble and a yellow marble (not necessarily in that order) are selected?
3. A bag contains 3 marbles: a red one, a blue one, and a yellow one. Suppose that two marbles are selected with replacement.

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Question 508819: In the game of hearts, what is the probability that you will be dealt the two of clubs?
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Question 508814: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 107 inches, and a standard deviation of 12 inches. What is the probability that the mean annual precipitation during 36 randomly picked years will be less than 109.8 inches?
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Question 508813: A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she desires to be 95% confident that the true mean is within 3 ounces of the sample mean? The standard deviation of the birth weights is known to be 7 ounces.
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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, 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