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

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Question 867192: Suppose a coin is tossed three times:
a. What is the probability of getting exactly two heads?
b. What is the probability of getting at least one tail?

Click here to see answer by ewatrrr(24785) About Me 
Question 867192: Suppose a coin is tossed three times:
a. What is the probability of getting exactly two heads?
b. What is the probability of getting at least one tail?

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Question 867195: HI
KINDLY HELP ME IN SOLVING THIS QUESTION,,
Male Female Total
Professor 12 3 15
Associate professor 15 9 24
Assistant professor 18 8 26
Instructor 20 15 35
Total 65 35 100
a) If a committee of three faculty members is selected at random what is the probability that:
i) All females.
ii) A professor and two associate professors.



THANKS



Click here to see answer by MathLover1(20849) About Me 
Question 867195: HI
KINDLY HELP ME IN SOLVING THIS QUESTION,,
Male Female Total
Professor 12 3 15
Associate professor 15 9 24
Assistant professor 18 8 26
Instructor 20 15 35
Total 65 35 100
a) If a committee of three faculty members is selected at random what is the probability that:
i) All females.
ii) A professor and two associate professors.



THANKS



Click here to see answer by ewatrrr(24785) About Me 

Question 867199: a car rental agency has 14 midsize and 16 compact cars on its lot, from which 6 will be selected. Assuming that each car is equally likely to be selected and the cars are selected at random, determine the probability that the cars selected consist of all midsize cars.
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Question 867198: The director of research and development for a company has nine scientists who are equally qualified to work on projects A, B and C. In how many ways can the director assign three scientists to each project ?
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Question 867197: A manufacturer has 3 machines B1,B2 and B3, make 35%, 40% and 25%, respectively, of the products. It is known from past experience that 2%, 3% and 1% of the products made by each machine respectively are defective. If a finished product is randomly selected:


What is the probability that it is defective?
What is the probability that it is not defective?
If the product is defective, what is the probability it was made by machineB_3?

If the product is not defective, what is the probability that it was made by machineB_1?

Click here to see answer by ewatrrr(24785) About Me 

Question 867205: A student studying for a vocabulary test knows the meanings of 12 words from a list of 26 words. If the test contains 10 words from the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)
Click here to see answer by ewatrrr(24785) About Me 

Question 867206: A shelf in the Metro Department Store contains 80 colored ink cartridges for a popular ink-jet printer. 5 of these cartridges are defective.
(a) If a customer selects 3 of these cartridges at random from a shelf, what is the probability that they are all defective? (Round your answer to five decimal places.)

(b) If a customer selects 3 of these cartridges at random from a shelf, what is the probability that at least 1 is defective? (Round your answer to three decimal places.)

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Question 867210: How many permutations are there of the letters in the word REMEMBER?
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Question 867208: A manufacturer has 3 machines b1 , b2 and b3 , make 35٪ , 40% ,25%, respectively , of the products. It is known from past experience that 2% , 3% and 1% of the products made by each machine respectively are defective. If a finished product is randomly selected
a.what is the probability that it is defective ?
b.what is the probability that it is not defective ?
c.if the product is defective , what is the probability it was made by machine b3?
d.if the product is not defective , what is the probability that it was made by machine b1 ?

Click here to see answer by ewatrrr(24785) About Me 

Question 867215: at west middle school 30 percent of students have a dog 20percent of students have a cat 10 percent have another kind of pet and 40 percent have no pets explain how you can use a random number table to find the experamental probabality that in a group of 5 students at least 2 will have a dog
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Question 867231: Hospital records indicate that 57% of patients treated have an HMO insurance. Determine the probability that a sample of 65 patients would have fewer than 28 patients who have an HMO insurance.
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Question 867232: Over the past ten years, departmental records indicate 30% of the students who schedule a particular class withdraw from that class before the end of the semester. If 25 students scheduled this particular class, what is the probability that more than 7 but no more than 10 students withdraw from the class?
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Question 867236: According to industry statistics, 8% of all DVD players distributed by an electronics company are shipped with no instruction packet.
What is the probability that fewer than six randomly selected DVD players from a sample of 150 DVD players will not have an instruction packet?

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Question 867235: According to a 1995 Time/CNN poll of adults in the United States, 60% believe that "compared with their parents they were better off economically."
Assuming that this result holds true for the current population of all adults in the United States, which value best describes the probability that in a sample taken tomorrow of 10 adults, at most 7 responded that "compared with their parents they were better off economically?"

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Question 867234: A student is taking a fifty question exam that has only true - false questions. Determine the probability that the students will receive a score greater than 60% by randomly guessing.
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Question 867230: A student is taking a fifty question exam that has only true - false questions. Determine the probability that the students will receive a score greater than 60% by randomly guessing.
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Question 867233: According to the U. S. Census Bureau, in 2003 approximately 27% of residents in the United States 25 years or older had earned at least a bachelor's degree. What is the minimum size sample that must be collected in order to be reasonably sure of getting 155 people age 25 or older with at least a bachelor's degree?
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Question 867248: In a class of 30 students the probability of having someone absent is approximately 88%. Determine the probability that on any given day everyone is absent.
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Question 867249: A certain college traditionally accepts 46% of all freshmen applicants. Determine the probability that fewer than 80 high school seniors who apply for admission will be accepted into the freshman class if 150 high school seniors apply.
Enter your response as a three digit decimal.

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Question 867250: An oil change shop advertised to change oil within 15 minutes. Based on the data collected below, what is the probability that an oil change will take 15 minutes or less time? (please share your calculation steps, using the standard normal distribution) Based on this data, do you think the business claim is valid? Explain why or why not.
Oil changes (minutes): 10, 7, 8, 8, 10, 9, 11, 15, 14, 15, 14, 12, 12, 11, 11, 14, 15, 13, 13, 13, 14, 15, 26, 28, 21, 22, 22, 21, 16, 16, 18, 19, 20, 21, 19, 18, 17,16, 16, 16

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Question 867258: University statistics indicate that approximately 61% of students will retake one or more courses during their undergraduate career. A sample of 200 students is selected. Determine the probability that no more than 112 will have had to repeat a class before graduating.
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Question 867260: Based on previous samples, a quality control officer knows that approximately 6% of all shirts that are produced from an assembly line have some form of sewing defect. In a recent sample from the assembly line, 210 shirts were found to have some form of sewing defect. What is the smallest sized sample that could have reasonably produced those results?
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Question 867257: The probability that a person driving an automobile does not have insurance is 12%. What is the probability that a police officer will find at most 6 drivers do not have insurance if he/she randomly stops 28 drivers?
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Question 867291: The mean IQ score of adults is 100 with a standard deviation of 15. Use the Empirical Rule to find the percentage of adults with scores between 70 and 130.
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Question 867255: It has been estimated that only 27% of the people who need vision correction wear glasses. The others wear either contact lenses or have had eye surgery or do not bother with correcting their vision. In a sample of 20 people, what is the probability that fewer than 8 wear glasses?
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Question 867207: Q4 (a) Statistics show that 3% of products come off the production line
unsuitable. If two products are examined what is the probability that

(i) both are unsuitable,
(ii) only one is unsuitable
(iii) neither is unsuitable.

(b) A mildew remover is tried out on various mildew patches. It is found
that 40% of mildew is removed on the first application, but the remaining
patches are resistance so that the proportion removed in any subsequent
application is only one half that of the preceding application. Find the
probability that a mildew patch will survive 3 applications.
Q5. The number of butterflies appearing in a garden follows a Poisson distribution
with a mean of 10 butterflies per hour. Find the probability of there being
(a) exactly 5 butterflies in a 30 minute interval,
(b) at most 3 butterflies in a 10 minute interval,
(c) more than 4 butterflies in a 15 minute interval,
(d) exactly 1 butterfly in each of three consecutive 5 minute intervals.
really confused on these questions, help would be nice maybe a solution to how I go about working them out, thankyou

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Question 867202: Entertainment: an entertainment system has n speakers. Each speaker will function properly with probability p, independent of whether the other speakers are functioning. The system will operate effectively if at least 50% of it's speakers are functioning. For what values of p is a 4-speaker system more likely to operate than a 5-speaker system?
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Question 867335: An experiment consists of rolling one fair number cube. Find the probability of each event
P(3)
P(7)
P(<5)
P(2 or odd)
Rolling two fair number cubes
P(total shown =9)
P(total shown < or = 12)

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Question 867289: I do know how to do the SD but need to show how its done. could you show me how? thanks
#1 Compute the sample mean and Standard Deviation for the data set.
497,193,328,155,326,245,270
I did get the mean part and its 2014/7=287.71 is that right?
i did do the SD part kind of and here what i got for 497-287.71=209.29,193-287.71=-94.71,328-287.71=40.29,155-287.71=-132.71,326-287.71=38.29,245-287.71=-42.71 and 270-287.71=-17.71. i added them and did not add to zero. i need help on that.
#2
a) Calculate the median of the data set
480,790,1000+,350,920,860,570,1000+,170,290
b)
Could you accurately calculate the mean for this data set? why or why not?
#3
Calculate the IQR for this data.
140,195,155,115,195,180,110,110,130,50,60
#4
a) Compute the mean for this data.
17=1,18=8,19=2,20=3,21=3,21=1,23=1,25=1,69=1 all adds to 18/20=0.9 right?
b)Compute the median for this data.
c) Which measure of center is best for this data and why?
#5Compute the sample mean and sample standard deviation for this data.
i got the mean its 532/11=48.36. Here are the numbers= 62,23,27,56,52,34,42,40,68,45,83 same thing i did as in #1 but i add it and its not zero.
#6 which of the two groups has the most varability with respect to caffeine per ounce? Explain your choice in words and show all math calculations you did to arrive at your decision.
Top-Selling Energy Drinks= 9.6,10.0,10.0,9.0,10.9,8.9,9.5,9.1
High-Caffeine Energy Drinks= 21.0,25.0,15.0,21.5,35.7,15.0,33.3,11.9,16.3,31.3,30.0
I NEED IT BY NEXT TUESDAY THE 29TH BY 11:59PM. THANK YOU SO MUCH.

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Question 867345: what is the probability of all three strangers born on wednesday?
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Question 867340: I need guidance to solve this...
The rates of on-time commercial jets are continuously tracked by the U.S Department of Transportation. Recently, southwest Air had the best rate with 80% of its flights arriving on time. A test is conducted by randomly selecting 10 southwest flights and observing whether they arrive on time. Find the probability that at most 3 flight arrive late.
Thanks!

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Question 867327: At a certain university, the average attendance at basketball games has been 2700 spectators per game. The attendance for the first 11 games has been 2250 spectators per game with a sample standard deviation of 650. The athletic director claims that the attendance is the same as last year. If α = .05, what are the critical values?
Click here to see answer by stanbon(75887) About Me 

Question 867339: I need help solving this..
The rates of on-time commercial jets are continuously tracked by the U.S Department of Transportation. Recently, southwest Air had the best rate with 80% of its flights arriving on time. A test is conducted by randomly selecting 10 southwest flights and observing whether they arrive on time. Find the probability that exactly 4 flights arrive on time.
Thank you

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Question 867365: a certain confidence interval is
8.95 to 10.25
Find the sample mean and margin of error.

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Question 867364: a certain confidence interval is 8.95 < u < 10.25. Find the sample mean and margin of error
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Question 867427: A deck 52 what are the odds of pulling one red
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Question 867422: If the average handling activity during a 10-day study is 82% and the number of daily observations is 48, what is the confidence interval for each day’s percentage activity?

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Question 867511: a test consists of 80 multiple choice questions each with five possible answers. Find mean and standard deviation of the number of correct answers
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Question 867493: an SRS of 75 incoming calls to a company's customer-service agents showed it took an average of 42.2 seconds for the agents to answer the calls with a standard deviation of 13.20 seconds. Give a 95 percent interval estimate for the mean amount of time it takes the agents to answer calls
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Question 867492: Suppose we want to estimate, by random sampling, the proportion of all college students who think they are getting a good education in college. Find, with 95 percent confidence, the number of such students that should be randomly sampled if we want the margin of sampling error to be no more than three percentage points.
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Question 599773: An arcade has 20 different arcade games. You want to play at least 14 of them. How many different combinations of arcade games can you play?
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Question 867524: suppose a random sample of 1750 households with television showed that 69.5 percent of them have cable television. Is this sufficient evidence, at the 0.05 significance level, to claim more than two-thirds of all television households have cable televisions?
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Question 867530: A certain horse "Greased Lightning" has a probability of 0.7 of winning the race.
a. What are the odds in favor of this horse winning the race?
b. What are the odds against this horse winning the race?

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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, 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