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

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Question 1111413: I need help figuring out how to get the new grade by using the z score of the new mean. Help please!
Suppose a professor gives an exam to a class of 40 students and the scores are as follows.
35 44 46 47 47 48 49 51 53 54
55 55 57 57 57 58 59 59 59 59
60 60 60 60 60 62 62 62 64 68
69 70 72 73 73 75 75 77 82 88
Question....
3. Suppose the professor wants the final scores to have a mean of 75 and a standard deviation of 8.
To find a student’s new score, first calculate their z-score and then use the z-score along with the new mean and standard deviation to find their adjusted score. re-type the new scores below.

Click here to see answer by Theo(13342) About Me 

Question 1111427: A bag contains 5 red balls, 6 yellow balls and 4 white balls. a ball is picked at random from the bag, what is the probability that the ball is :
a. red and white (b). yellow or red (c) not red (d) neither red or yellow.

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Question 1111435: Take another guess: A student takes a multiple-choice test that has 7 questions. Each question has five choices. The student guesses randomly at each answer
Click here to see answer by Alan3354(69443) About Me 
Question 1111435: Take another guess: A student takes a multiple-choice test that has 7 questions. Each question has five choices. The student guesses randomly at each answer
Click here to see answer by ikleyn(52776) About Me 

Question 1111445: A computer program consists of two blocks written independently by
two different programmers. The first block has an error with probability
0.2. The second block has an error with probability 0.3. If the program
returns an error, what is the probability that there is an error in both
blocks?

Click here to see answer by ikleyn(52776) About Me 

Question 1111443: This question has been answered before but I need to be shown the steps in solving by using the ti84. An engineer is going to redesign an ejection seat for an airplane .The seat was designed for pilots weighing bet. 120-161 lbs. The new population of pilots has a normally distr. weights with a mean of 126 and SD of 33.1. Find the prob. they are bet. 120-161? I have tried using normalcdf but unsure what numbers to input where? We cannot use tables, so please show me as using the calculator. Please answer for statistics for Dummies!!
Click here to see answer by rothauserc(4718) About Me 

Question 1111441: The admissions office of a private university released the following data for the preceding academic year: From a pool of 4200 male applicants, 40% were accepted by the university, and 40% of these subsequently enrolled. Additionally, from a pool of 3300 female applicants, 45% were accepted by the university, and 40% of these subsequently enrolled. What is the probability of each of the following?
(a)
A male applicant will be accepted by and subsequently will enroll in the university?

(b)
A student who applies for admissions will be accepted by the university?

(c)
A student who applies for admission will be accepted by the university and subsequently will enroll?

Click here to see answer by Boreal(15235) About Me 

Question 1111499: Find the number of possible passwords using the following criteria
The password must have exactly five letters
The password must have exactly two vowels ( a,e,I,o,u)
The password must alternate vowels and consonants ( consonant,vowel,consonant,vowel and consonant)
Letters may be repeated.

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Question 1111497: What is the probability of rolling three 5s in a row with a standard die
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Question 1111535: Toss a biased coin: for this coin the probability that it will show tail is 0.7. We toss coin twice. Find probability that we get no head
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Question 1111646: Hi can you please help me with this question (its to do with arrangments/combinations):
A student representative committee of 5 is to be chosen from 4 males and 6 females. How many committees could be selected which contain more females than males?
Thankyou.

Click here to see answer by ikleyn(52776) About Me 

Question 1111734: Please help me solve this question.
A coin is biased so that it is twice as likely to show heads as tails.
a) What is the probability that the coin will show heads when it is tossed?
b) Andy tosses the coin n times. Find the least value of n for which the probability that the coin shows heads each time is less than 0.01.
so for part a) i got two thirds as the probability of getting heads and a third as probability of getting tails. I'm now stuck on part b)

Click here to see answer by Theo(13342) About Me 

Question 1111743: What is the probability of getting at least one six in a single throw of three fair dice?
a. 9/36
b. 91/216
c.3/6
d. 123/216

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Question 1111742: You toss a coin and roll a die. The probability of having a head and a 6 on the die is _____________.
Click here to see answer by math_helper(2461) About Me 

Question 1111757: A coin is tossed 72 times. Find the standard deviation for the number of heads that will be tossed.
std = sqrt(npq) = sqrt(72(1/2)(1/2)) = (l/2)(6)sqrt(2) = 3sqrt(2)
------
Cheers,
Stan H.

Click here to see answer by stanbon(75887) About Me 

Question 1111750: In a certain town males and females from 50% of population. It is known that 20% of the males and 5% of the females are unemployed. A research student studying the employment situation selects unemployed persons at random. What is the probability that the person selected is male and female
Click here to see answer by stanbon(75887) About Me 
Question 1111750: In a certain town males and females from 50% of population. It is known that 20% of the males and 5% of the females are unemployed. A research student studying the employment situation selects unemployed persons at random. What is the probability that the person selected is male and female
Click here to see answer by ikleyn(52776) About Me 

Question 1111782: A single die is rolled one time. Find the probability of rolling a number greater than 1 or less than 6.
Click here to see answer by math_helper(2461) About Me 

Question 1111658: the heights of students in a school has a normal distribution with a mean of 160cm and a standard deviation of 15cm. Find the probability that a student chosen at random
(i) has a height that is greater than 148cm
(ii) has a height between 155cm and 165cm

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Question 1111839: Question 1
If a die is rolled one time, find the probability of getting a number greater than 2.
Question 2
In a probability model, which of the following numbers could be the probability of an outcome:
0, 0.2, -0.01, - , , , 1, 1.5
Question 3
If you flip a coin three times, the possible outcomes are HHH HHT HTH HTT THH THT TTH TTT. What is the probability of getting at least one head?
Question 4
The distribution of B.A. degrees conferred by a local college is listed below, by major.
Major Frequency
English 2073
Mathematics 2164
Chemistry 318
Physics 856
Liberal Arts 1358
Business 1676
Engineering 868
9313
What is the probability that a randomly selected degree is in Engineering?
Answer:
0.0932
The answer is 0.0932 but i dont know how they got it?

Click here to see answer by ikleyn(52776) About Me 

Question 1111854: If a die is rolled one time, find the probability of getting a number greater than 2.
Click here to see answer by greenestamps(13198) About Me 

Question 1111856: If one card is drawn from an ordinary deck of cards, what is the probability that the card will be an ace, a king of hearts, or a spade?
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Question 1111853: In a probability model, which of the following numbers could be the probability of an outcome:
0, 0.2, -0.01, - 1/3, 1/2, 5/4, 1, 1.5

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Question 1111844: If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 0.10, what are the odds against a direct hit?
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Question 1111855: The distribution of B.A. degrees conferred by a local college is listed below, by major.
Major Frequency
English 2073
Mathematics 2164
Chemistry 318
Physics 856
Liberal Arts 1358
Business 1676
Engineering 868
9313
What is the probability that a randomly selected degree is in Engineering?

Click here to see answer by ikleyn(52776) About Me 

Question 1111946: If a single card is drawn from an ordinary deck of cards, what is the probability of drawing either a heart or a 6?

Click here to see answer by Alan3354(69443) About Me 

Question 1112003: In a sample of 900 gas​ stations, the mean price for regular gasoline at the pump was $ 2.874 per gallon and the standard deviation was ​$0.009 per gallon. A random sample of size 55 is drawn from this population. What is the probability that the mean price per gallon is less than ​$2.872​?
Click here to see answer by rothauserc(4718) About Me 

Question 1112015: if 15% of the people in a certain factory are members of a union, find the probability that in a random sample of 200, fewer than 24 people are union members. First show the 3 conditions of the normal, find the probability and the show the diagram and what was plugged into the calculator









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Question 1112006: An insurance company reported that 60% of all automobile damage claims were made by people under the. age of 25. If eight automobile damage claim were selected at random, determine the probability that exactly five of them were made by someone under the age of 25
Click here to see answer by Boreal(15235) About Me 

Question 1111966: A flush is a poker hand defined as five cards of the same suit. Assume that a standard deck of 52 playing cards is used . How many ways are there to be dealt a flush.
Click here to see answer by math_helper(2461) About Me 

Question 1112110: Two dice are rolled. Find the probability of getting a sum of 5, 6, or 7.
Click here to see answer by ikleyn(52776) About Me 

Question 1112111: At a local University, 57.8% of the incoming freshman have a computer. If 10 students are selected at random, find the probability that all have computers.
Click here to see answer by greenestamps(13198) About Me 

Question 1112109: A box contains 14 red papers, 17 blue papers, and 23 white papers. If someone selects one of the papers at random, what is the probability of NOT getting a white paper?
Click here to see answer by greenestamps(13198) About Me 

Question 1112108: Find the indicated probability by using the special addition rule.
A relative frequency distribution is given below for the size of families in one U.S. city

Size Relative frequency
2 0.406
3 0.245
4 0.204
5 0.100
6 0.028
7+ 0.017
A family is selected at random. Find the probability that the size of the family is less than 5. Round approximations to three decimal places.

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Question 1112130: The weights (in lbs) of 5 patients in the pediatric ward are recorded as 100, 92, 98, 99, 96. What is the range of their weights?

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Question 1112128: The raw scores of 12 students in a 20-point exam are shown below. What is the range of the given set of their scores? 13 11 17 19 20 15 17 18 16 19 20 18
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Question 1112127: What is the range of the set 3.2, 4.4, 3.8, 4.4, 4.1?
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Question 1112126: If x is a natural number, then what is the range of the set x, x+2, x+4?
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Question 1112123: Hi could you please help me with this question:
If no digit can be used more than once, find how many numbers that can be formed from the digits 3,4,5,6,7 that are greater than 700?
Its from the chapter of permutations.
Thanks!

Click here to see answer by ikleyn(52776) About Me 

Question 1112177: The AC Nielsen Company reported in the Nielsen Report on Television that the distribution of weekly television viewing time for children aged 2-11 years is normally distributed with a mean of 24.5 hours and a standard deviation of 6.23 hours.
Draw a complete graph of each situation and find the answer.
a. What percent of children aged 2 – 11 watch more than 30 hours per week?
b. What percent of children aged 2 – 11 watch fewer than 10 hours per week?
c. What percent of children aged 2 – 11 watch between 20 and 25 hours per week?
d. How many hours of TV watching per week defines the children who are in the top 10%?
e. What are the three quartiles for the distribution described above?

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Question 1112147: Let S be the event that a randomly selected college student has taken a statistics course, and let C be the event that the same student has taken a chemistry course. Suppose P(S) = 0.35, P(C) = 0.26, and P(S ∩ C) = 0.16
Find the probability that a student has taken neither statistics nor chemistry.

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Question 1112159: The publisher of a popular financial periodical has decided to undertake a campaign in an effort to new subscribers. Market research analysts in this company believe that there is a 1 in 4 chance that the increase in the number of new subscriptions resulting from this campaign will be between 3000 and 5000. What is the probability that the increase in the number of new subscriptions resulting from this campaign will be less than 3000 and more than 5000?
Click here to see answer by ikleyn(52776) About Me 

Question 1112221: The probability that certain production process will produce a defective parts is .20. Find the exact probability that lot of 12 parts will contain
a.exactly 5 defective parts
b.3 or 4 defective parts
Complete solution please thanks

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Question 1112257: Can anyone help me with this please?
Morse codes consist of a succession of dots and dashes. The symbols formed by the code may consist of one, two, three or four dots or dashes. How many different symbols may be represented by this code? Thankyouu

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Question 1112258: In how many ways can a group of 6 people be divided into two unequal groups if there must be at least one person in each group? I've tried combinations formula but it didnt work plz help.
Click here to see answer by ikleyn(52776) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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