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

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Question 1151587: A gardener wishes to landscape a piece property by planting flowers across the front and back
of the house. From a box containing 3 tulip bulbs, 4 daffodil bulbs, 3 hyacinth bulbs he selects
at random to be planted at the front of the house, and the remaining 5 are planted at the rear
of the house. What is the probability that 1 tulip plant, 2 daffodil plants, and 2 hyacinth plants
bloom at the front of the house?

Click here to see answer by ikleyn(53763) About Me 

Question 1151598: Lilly collects data on a sample of 40 high school students to evaluate whether the proportion of female high school students who take advanced math courses in high school varies depending upon whether they have been raised primarily by their father or by both their mother and their father. Two variables are found below in the data file: math (0 = no advanced math and 1 = some advanced math) and Parent (1= primarily father and 2 = father and mother).
Click here to see answer by ikleyn(53763) About Me 

Question 1151593: 1.Find the uniform distribution for the subsets of months of size 3.
2. Find the probability of a success on each of the 5 independent trials is and the probability of a
failure is. The outcome of 2 is considered a success here.
3. In a certain city district the need for money to buy drugs is given as the reason 75% of all
thefts. What is the probability that exactly 2 of the next 4 theft cases-reported in this district
resulted from the need for money to buy drugs?

Click here to see answer by ikleyn(53763) About Me 

Question 1151588: An amateur game player throws darts at the dartboard that has 5 sections, with each target are worth the number points indicated (10, 20, 30, 40, 50). However, because of the player's inexperience, all of the darts hit at random points that are uniformly distributed on the dartboard. What is the probability of each outcome?
Click here to see answer by greenestamps(13334) About Me 

Question 1151625: Please helpme
A maternity hospital located at the heart of the city is providing nursery kit items for expectant motjer clients. The common color of these item either pink (for female babies) or blue (fpr male babies). Thr hospital management concern is the number of each colored item they have to prepare to meet the demand of their clients. On the basis of their previous years experience, the management estimates that the probability thay any one mother will have female baby and will be using pink items is 60. Determine the probability distribution from 20 mothers with n=20 and p=60 with the table below. The table is numbers 4 - 11

Click here to see answer by rothauserc(4718) About Me 

Question 1151656: In a survey of 320 customers, 58 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?

Click here to see answer by MathLover1(20855) About Me 

Question 1151655: Three research department have8,10, and 6 members,respectively.Each department is to select a delegate and an alternate to,represent the department at a conference.In how many ways can this be done?
Click here to see answer by math_helper(2461) About Me 
Question 1151655: Three research department have8,10, and 6 members,respectively.Each department is to select a delegate and an alternate to,represent the department at a conference.In how many ways can this be done?
Click here to see answer by ikleyn(53763) About Me 

Question 1151689: Green Field county stadium is planning to conduct a cricket match between two teams A and B. A large crowd is expected in the stadium as 10000 tickets have already been sold. To fulfill the viewers’ requirements, the match administrators are willing to install large display screens inside the stadium which should display the match “Live” through several cameras installed on different angles in the stadium.

After carefully reading and analyzing the given scenario, you are required to suggest the “most suitable serial transmission mode” with two strong reasons.

Click here to see answer by ikleyn(53763) About Me 

Question 1151688: A box contains ten php10 bills, five php20 bills, three php50 bills and one Php100 bill. Find the expectation . Is the game fair?

Click here to see answer by greenestamps(13334) About Me 

Question 1151713: What percent of the area under the normal curve is between z=0.85 and z=2.5?
Click here to see answer by MathLover1(20855) About Me 

Question 1151732: Each person that works at a company is given a 5-digit code.These employees must enter their codes on a keypad to enter and exit the office building. The company has 80 employees.
A) How many codes are possible if there are no restrictions?
B) What is the probability of someone entering a 5-digit code at random and gaining entry to the building?

Click here to see answer by Edwin McCravy(20081) About Me 
Question 1151732: Each person that works at a company is given a 5-digit code.These employees must enter their codes on a keypad to enter and exit the office building. The company has 80 employees.
A) How many codes are possible if there are no restrictions?
B) What is the probability of someone entering a 5-digit code at random and gaining entry to the building?

Click here to see answer by ikleyn(53763) About Me 

Question 1151739: In a state lottery a seven-digit integer is selected at random. If a player
bets 1 dollar on a particular number, the payoff (if that number is selected)
is $600 minus the $1 paid for the ticket. Let X equal the payoff to the better.
Find the expected value of X.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1151683: Please help me to solve this question:
Assume that the random variable X is normally distributed, with mean=31.5 and standard deviation=1.4. Compute the probability P(X<28).

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

Question 1151738: In a state lottery a five-digit integer is selected at random. If a player
bets 1 dollar on a particular number, the payoff (if that number is selected)
is $500 minus the $1 paid for the ticket. Let X equal the payoff to the better.
Find the expected value of X.

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

Question 1151752: Just answer in five-line. Green Field county stadium is planning to conduct a cricket match between two teams A and B. A large crowd is expected in the stadium as 10000 tickets have already been sold. To fulfill the viewers’ requirements, the match administrators are willing to install large display screens inside the stadium which should display the match “Live” through several cameras installed on different angles in the stadium.
“most suitable serial transmission mode” with two strong reasons.

Click here to see answer by ikleyn(53763) About Me 

Question 1151691: a buyer of dutch paint complains that he is getting less than 4 galloons per container from his supplier. a sample of 100 containers reveals a mean of 3.8 grams with a standard deviation of 0.46 grams. Is the buyer's complaint valid ? use 0.05 level of significance.
Click here to see answer by Boreal(15235) About Me 

Question 1151589: A certain type of storage battery lasts on the average 3.0 years, with a standard deviation of
0.5 year. Assuming that the battery lives are normally distributed, find the probability that a
given battery will last less than 2.3 years.

Click here to see answer by VFBundy(438) About Me 

Question 1151685: The mean age of students at a high school is 16.5, with a standard deviation of 0.7. You use the Standard Normal Table to determine that the probability of selecting one student at random whose age is more than 17.5 years is about 8%.
WHAT IS THE ERROR IN THIS PROBLEM?

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

Question 1151591: A multiple-choice quiz has 200 questions, each with 4 possible answers, of which only 1 is the
correct answer. What is the probability that sheer guesswork yields from 25 to 30 correct
answers for 80 of 200 problems about which the student has no knowledge?

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

Question 1151389: A diagnostic test for a certain disease is said to be 90% accurate in that, if a person has the disease, then the test will detect with probability 0.9.
Also, if a person does not have the disease, then the test will report that he or she doesn’t have it with probability 0.9. Only 1% of the population has the disease in question. If the diagnostic test reports that a person chosen at random from the population has the disease, then what is the conditional probability that the person, in fact, has the disease?

Click here to see answer by VFBundy(438) About Me 

Question 1150381: You wish to test the claim that μ = 1420 at a level of significance of α = 0.01 and are given
sample statistics n = 35, x = 1390. Assume the population standard deviation is 82. Compute the
value of the standardized test statistic. Round your answer to two decimal places

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

Question 1150382: Find the critical value and rejection region for the type of t-test with level of significance α and
sample size n. Left-tailed test, α = 0.05, n = 24

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

Question 1151773: The following random sample was selected : 4, 6, 3, 5, 9, 3. Find the 95% confidence interval for the mean of the population. See Ex. 2 (Use your graphing calculator to find the mean and sample standard deviation.)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1151800: A quick quiz consists of a multiple-choice question with 5 possible answers followed by a multiple-choice question with 3 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct.

Click here to see answer by MathLover1(20855) About Me 

Question 1151804: It has been reported that 4% of all cars on the highway are traveling at speeds in excess of 70 mph. If the speeds of five random automobiles are measured via radar, what is the probability that at least one car is going over 70 mph?

Click here to see answer by ikleyn(53763) About Me 

Question 1151816: In a survey of 1000 adults 34% found they prefer charcoal to gas grills.the 34%would be considered what
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Question 1151803: It has been reported that 4% of all cars on the highway are traveling at speeds in excess of 70 mph. If the speeds of five random automobiles are measured via radar, what is the probability that at least one car is going over 70 mph?

Click here to see answer by ikleyn(53763) About Me 

Question 1151818: Stress at work: In a poll conducted by the General Social Survey, 81% of
respondents said that their jobs were sometimes or always stressful. Two hundred
workers are chosen at random.
Approximate the probability that 160 or fewer find their jobs stressful.

Click here to see answer by Edwin McCravy(20081) About Me 

Question 1151876: A study conducted among 29-year-old male, acetone levels werenormally distributed with a mean of 1070 and a standard deviation of 311 ppb. Find the probability that on a given day the subject’s acetone level is:
a. Between 700 and 1100 ppb
b. Over 1000 ppb
c. Under 600 ppb
d. Between 1000 and 1200 ppb

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

Question 1151872: A study conducted among 29-year-old male, acetone levels werenormally distributed with a mean of 1070 and a standard deviation of 311 ppb. Find the probability that on a given day the subject’s acetone level is:
a. Between 700 and 1100 ppb
b. Over 1000 ppb
c. Under 600 ppb
d. Between 1000 and 1200 ppb

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

Question 1151871: A researcher looked at the occurrence of retinal capillary hemangioma (RCH) in patients with von Hippel - Lindau (VHL) disease. RCH is a benign vascular tumor of the retina. Using a retrospective consecutive case series review, the researchers found that the number of RCH tumor incidents followed a Poisson distribution with λ = 3 tumors per eye for patients with VHL. Using this model, find the probability that in a randomly selected patient with VHL:
a. There are exactly four occurrences of tumors per eye.
b. There are more than four occurrences of tumors per eye.
c. There are fewer than four occurrences of tumors per eye.
d. There are between four and six occurrences of tumors per eye, inclusive

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

Question 1151772: The following random sample was selected : 4, 6, 3, 5, 9, 3. Find the 95% confidence interval for the mean of the population. See Ex. 2 (Use your graphing calculator to find the mean and sample standard deviation.)
Click here to see answer by Boreal(15235) About Me 

Question 1151874: Question No. 5
In a survey of nursing students pursuing a master’s degree, 84 percent stated that they expect to be promoted to a higher position within one month after receiving the degree. If this percentage holds for the entire population, find, for a sample of 20, the probability that the number expecting a promotion within a month after receiving their degree is:
a. Five b. At least six
c. No more than four d. Between five and eight, inclusive

Click here to see answer by jmachadok(2) About Me 
Question 1151874: Question No. 5
In a survey of nursing students pursuing a master’s degree, 84 percent stated that they expect to be promoted to a higher position within one month after receiving the degree. If this percentage holds for the entire population, find, for a sample of 20, the probability that the number expecting a promotion within a month after receiving their degree is:
a. Five b. At least six
c. No more than four d. Between five and eight, inclusive

Click here to see answer by ikleyn(53763) About Me 

Question 1151898: A club is choosing 2 members to serve on a committee. The club has nominated 1 women and 3 men. Based on chance alone, what is the probability that one woman and one man will be chosen to be on the committee?
Click here to see answer by ikleyn(53763) About Me 

Question 1151899: The probability of passing a 30 question multiple choice test by randomly guessing the answers is 0.16.
What is the probability of failing the test if guessing randomly?

Click here to see answer by ikleyn(53763) About Me 

Question 1151915: The probability that a student has a Visa card (event V) is .65. The probability that a student has a MasterCard (event M) is .20. The probability that a student has both cards is .13.

(a) Find the probability that a student has either a Visa card or a MasterCard

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Question 1151923: There are 40 students in the University Travel Club. The following information and Venn diagram show how many students traveled to Germany, France, and Spain. How many students have been only to Germany?
18members have visited Germany
18 have been to Spain
17 have visited France
8 have been to Germany and France
5 have only been to Spain
6 have only been to France
3 have been to only Spain and France
4have been to all three countries
Some of the members have not been to any of the three



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Question 1151946: Among Coffee drinkers, men drink a mean of 3.2 cups per day, with a standard deviation of 0.8 cups. Assume the number of coffee dinks per day follows a normal distribution.
a. What proportion dink 2 cups per day or more?
B. What proportion drink no more than 4 cups per day?
c. If the top 5% of coffee drinkers are considered heavy coffee drinkers, what is the minimum number of ups per day consumed by a heavy coffee drinker? Hint find the 95th percentile.

Click here to see answer by rothauserc(4718) About Me 

Question 1151955: Suppose the probability of an irs audit is 1.9 percent for U.s. taxpayers who file form 1040 and who earned $100,000 or more. odds that such a tax payer will be audited are 1 to ______ . Odds against a tax payer being audited _____ to 1
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Question 1151975: The probability that an international flight leaving the United States is delayed in departing (event D) is .29. The probability that an international flight leaving the United States is a transpacific flight (event P) is .59. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .11.

Click here to see answer by ikleyn(53763) About Me 

Question 1151979: P(A)=0.39
P(B)=0.35
A and B are dependent.
P(A∣B)=0.385
Find P(A∩B)
Find P(A∪B)
Find P(B∣A)

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Question 1151980: The sets
A
and
B
are given below.
=
A
g
,
h
,
k

=
B
e
,
f
,
j

Find the intersection of
A
and
B
.
Find the union of
A
and
B
.
Write your answers using set notation (in roster form).
=

A
B


=

A
B



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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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