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

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Question 647291: If light bulbs have lives that are normally distributed with a mean of 2500 hours and a standard deviation of 500 hours, what percentage of light bulbs have a life less than 2500 hours?00 hours and a standard deviation of 500 hours, what percentage of light bulbs have a life less than 2500 hours?
Click here to see answer by MathLover1(6810) About Me 

Question 647388:
1. A psychologist studied self-esteem scores and found the sample data set to be normally distributed with a mean of 50 and a standard deviation of 5.
What is the median of this distribution?
Answer
a 45

b 55

c 50

d 5

e Cannot be determined from the information given

2.In a negatively skewed distribution, Alisha scored the mean, Ken scored the median, and Catherine scored the mode. Who had the highest score?
Answer
a Alisha
b Ken
c Catherine
d All three scored approximately the same

3.In a normal distribution, Alisha scored the mean, Ken scored the median, and Catherine scored the mode. Who had the lowest score?

Answer
a Alisha
b Ken
c Catherine
d All three scored approximately the same

4.The standard normal distribution has a mean of ___ and a variance of ____

Answer
a 0; 0
b 1; 1
c 1; 0
d 0; 1
c 100; 15

5.A student scored 76 points on a quiz, and the student’s standard score was +2. The standard deviation of quiz scores was 10. What was the mean of the quiz scores?

Answer
a 56
b 64

c 88

d 96

e more than one answer is correct.
6.The standard deviation for the sample consisting of 6, 8, and 10 is

Answer
a 12.00

b -0.67

c 1.00

d 1.63

e 2.00

7.A medical association randomly selected 10 trauma surgeons and 10 medical researchers and asked them how flexible their schedule is on a 1 (not at all flexible) to 9 (very flexible) scale. The data are summarized below:

Trauma surgeons
mean 2
variance 1

Medical researchers
mean 7
variance 3

Select the statement that accurately reflects these results:
Answer
a. All medical professionals have similar levels of flexibility in their schedules.
b. Trauma surgeons have more flexibility than medical researchers.
c. Medical researchers agree more with each other about their level of flexibility than trauma surgeons.
d. Trauma surgeons agree more with each other about their level of flexibility than medical researchers.
c. none of the above

8. A sample of data has a standard deviation of 10. If you were to multiply all of the scores in the data set by factor of nine (9), what would the new standard deviation be?

Answer
a 5

b 10

c 30

d 90

e 10

9. Select the statement that is false.
Answer
a. Given a raw score, its z-score is the number of standard deviations above or below the mean.
b. The variance for a set of data can be a negative value.
c. A normal curve with mean 0 and standard deviation 10 has a greater spread of scores than a normal curve with mean 0 and standard deviation 1.
d. The standard deviation for a set of data
10. Along with the mean, which of the following completely characterizes a standard normal distribution?
Answer
a Mode

b Skew

c Variance

d Symmetry

e Median

Click here to see answer by ewatrrr(10682) About Me 

Question 647381: Sam conducted a public opinion poll about the chances of candidates Rita and Paul winning the presidential election. Out of 1000 randomly chosen electors, 180 expressed their support for Rita. However candidate Rita believes that the proportion of electors who support her is 0.2.
Test at the 10% level whether candidate Rita is overestimating her support,
Thanking you in advance.

Click here to see answer by Sarpi(32) About Me 

Question 647461: 2.In a negatively skewed distribution, Alisha scored the mean, Ken scored the median, and Catherine scored the mode. Who had the highest score?
Answer
a Alisha
b Ken
c Catherine
d All three scored approximately the same
3.In a normal distribution, Alisha scored the mean, Ken scored the median, and Catherine scored the mode. Who had the lowest score?
select an answer
a Alisha
b Ken
c Catherine
d All three scored approximately the same

7.A medical association randomly selected 10 trauma surgeons and 10 medical researchers and asked them how flexible their schedule is on a 1 (not at all flexible) to 9 (very flexible) scale. The data are summarized below:
Trauma surgeons
mean 2
variance 1
Medical researchers
mean 7
variance 3
Select the statement that accurately reflects these results:
select an answer
a. All medical professionals have similar levels of flexibility in their schedules.
b. Trauma surgeons have more flexibility than medical researchers.
c. Medical researchers agree more with each other about their level of flexibility than trauma surgeons.
d. Trauma surgeons agree more with each other about their level of flexibility than medical researchers.
c. none of the above
8. A sample of data has a standard deviation of 10. If you were to multiply all of the scores in the data set by factor of nine (9), what would the new standard deviation be?
select an answer
a 5
b 10
c 30
d 90
e 10
9. Select the statement that is false.
Answer
a. Given a raw score, its z-score is the number of standard deviations above or below the mean.
b. The variance for a set of data can be a negative value.
c. A normal curve with mean 0 and standard deviation 10 has a greater spread of scores than a normal curve with mean 0 and standard deviation 1.
d. The standard deviation for a set of data

Click here to see answer by solver91311(17077) About Me 

Question 647456: What type of relationship does it indicate (strong/weak; positive/negative, if
r = 0.984?

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Question 647494: Using the binomial probability sums table, evaluate P[X>7]for n=9, p=0.40
Click here to see answer by Edwin McCravy(8999) About Me 

Question 647522: A psychologist studied self-esteem scores and found the sample data set to be normally distributed with a mean of 50 and a standard deviation of 5.
Part A**What raw score cuts off the bottom 10.03% of this distribution?
Steps:
What is the z-score that cuts off the bottom 10.03% of this distribution?
What is the raw score that cuts off the bottom 10.03% of this distribution?

Part B**What percentage of the scores is between 57.5 and 65?
Steps:
What is the z-score that corresponds to the raw score of 57.5?
What is the z-score that corresponds to the raw score of 65?
What percentage of the scores is between 57.5 and 65?


Part C:**A raw score of 35 is associated with what percentile?
Steps:
What is the z-score associated with a raw score of 35?
A raw score of 35 is associated with what percentile?
Part D:**What raw scores mark the middle 34% of this distribution?
Steps:
What are the z-scores that mark the middle 34% of this distribution? The z-score below the mean is The z-score above the mean is
What is the raw score below the mean?

Click here to see answer by swincher4391(726) About Me 
Question 647522: A psychologist studied self-esteem scores and found the sample data set to be normally distributed with a mean of 50 and a standard deviation of 5.
Part A**What raw score cuts off the bottom 10.03% of this distribution?
Steps:
What is the z-score that cuts off the bottom 10.03% of this distribution?
What is the raw score that cuts off the bottom 10.03% of this distribution?

Part B**What percentage of the scores is between 57.5 and 65?
Steps:
What is the z-score that corresponds to the raw score of 57.5?
What is the z-score that corresponds to the raw score of 65?
What percentage of the scores is between 57.5 and 65?


Part C:**A raw score of 35 is associated with what percentile?
Steps:
What is the z-score associated with a raw score of 35?
A raw score of 35 is associated with what percentile?
Part D:**What raw scores mark the middle 34% of this distribution?
Steps:
What are the z-scores that mark the middle 34% of this distribution? The z-score below the mean is The z-score above the mean is
What is the raw score below the mean?

Click here to see answer by stanbon(57960) About Me 

Question 647525: What is a sampling distribution?
Answer
a. A conclusion about the value of a population parameter based on information about the corresponding sample statistic and probability
b. A numerical descriptive measure of a population
c. A set of measurements (or counts), either existing or conceptual
d. A probability distribution for a sample statistic
e. A numerical descriptive measure of a sample
I couldn't find an definition that matches any of the choices and there wasn't a definition on my book. I choice E.

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Question 647523: The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the height of an 18-year-old man selected at random is between 64 inches and 66 inches.
a. .1597
b. .2017
c. .3677
d. .8403
e. .3403
If possible please show me how the problem is solved so maybe I can figure out as well

Click here to see answer by stanbon(57960) About Me 

Question 647524: Find z such that 20.3% of the standard normal curve lies to the right of z.
Answer
a. 0.831
b. 0.257
c. -0.257
d. 0.533
e. –0.533
I came up with an answer of .830 but that isn't one of the choices.

Click here to see answer by jim_thompson5910(28705) About Me 

Question 647628: Here is another I just can't figure out!
Construct a grouped frequency distribution for the following 28 scores using a class width of 4:
37 55 40 52 45 37 57 42 57 54 34 34 38 50 46 57 34 56 34 54 50 48 39 53 52 47 35 56.

Thanks in advance!

Click here to see answer by jim_thompson5910(28705) About Me 

Question 647632: in an industrial unit, certain machine producing washers, the probability of an item is 0.01. calculate the mean and standard deviation for tthe distribution of defective washers, when the total number is 500
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Question 647602: What is the probability of winning a lottery game where the winning number is made up of seven digits from 0 to 9 chosen at random?
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Question 647581: Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 50 bank accounts, we want to take a random sample of seven accounts in order to learn about the population. How many different random samples of seven accounts are possible?
Click here to see answer by jim_thompson5910(28705) About Me 

Question 647773: Don't understand how to fill in the table.
If x and y vary inversely, complete the table below.
x is (1, 2, __, -12)
y is (12, __, 3 __)
How do I get to the answer as to what goes in the blank?

Click here to see answer by jim_thompson5910(28705) About Me 

Question 647788: An executive at Hughes drives from his home to work every day. The driving times are normally distributed with a mean of 35 minutes and a standard deviation of 8 minutes.

a. In what percent of the days will it take him 30 or fewer minutes to reach his office?








b. What percent of the days will it take between 40 and 50 minutes?







c. What percent of days will it take him between 30 and 45 minutes?





d. How long will the longest 10% of the trips take?

Click here to see answer by stanbon(57960) About Me 

Question 647898: Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. Suppose that for healthy females, x has an approximately normal distribution with mean (weird looking u symbol) = 4.1 and standard deviation (weird looking o symbol) = 0.7. Convert the following z interval to an x interval.z < 2.9
Answer
a. x>6.13
b. x>-6.13
c. x<-6.13
d. x>-2.07
e. x<6.13
Could someone please show me how to solve this problem?

Click here to see answer by stanbon(57960) About Me 

Question 647895: Find the area under the standard normal curve over the interval specified below.Between z = -2 and z = 0.4
Answer
a. 0.655
b. 0.477
c. 0.155
d. 0.977
e. 0.633

Click here to see answer by stanbon(57960) About Me 

Question 647894: Is the standard score positive or negative when the raw score is 6 and the mean is 4?
Answer
a. The standard score is negative.
b. The standard score is positive.

Click here to see answer by stanbon(57960) About Me 

Question 647893: Answer the question Yes or No. Suppose x has a distribution with (a weird shaped u)= 80 and (a weird shaped o)= 12. If random samples of size n = 21 are selected, can we say that the distribution of sample means (x with a line over it) for samples of this size is approximately normal?
Answer
a. No
b. Yes

Click here to see answer by stanbon(57960) About Me 

Question 647891: The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the average height of a sample of ten 18-year-old men will be between 69 and 71 inches?
Answer
a. 0.8539
b. 0.2922
c. 0.3539
d. 0.1461
e. 0.1611
If you could please show me how to solve this problem.

Click here to see answer by stanbon(57960) About Me 

Question 647783: Following are many patients' diastolic blood pressure (mm Hg) figures. The standard deviation is about 6. If you were to add 5 to all of them, what would be the new standard deviation?
80, 91, 81, 75, 72, 76, 84, 90, 95, 77, 79, 86, 71, 75, 89, 85, 80, 77, 74, 80, 79, 82, 90, 83, 81, 72, 82, 78, 80

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Question 648024: "A student has to sit for an examination consisting of 3 questions selected randomly from a list of 100 questions. To pass, he should answer all the three questions. What is the probability that the student will pass the examination, if he knows the answer to 90 questions on the list."
I have asked this question before and i got the answer as .729 but its the wrong answer. I have also solved it the same but correct answer is .798 and i don't know how to get this one...?????????

Click here to see answer by Theo(3504) About Me 
Question 648024: "A student has to sit for an examination consisting of 3 questions selected randomly from a list of 100 questions. To pass, he should answer all the three questions. What is the probability that the student will pass the examination, if he knows the answer to 90 questions on the list."
I have asked this question before and i got the answer as .729 but its the wrong answer. I have also solved it the same but correct answer is .798 and i don't know how to get this one...?????????

Click here to see answer by asd123456(1) About Me 

Question 648031: Answer the following questions in one or two well-constructed sentences.
a. What happens to the standard error of a sampling distribution as the size of the sample increases?
b. What happens to the distribution of the sample means if the sample size in increased?
c. When using the distribution of sample means to estimate the population mean, what is the benefit of using larger sample sizes?

Click here to see answer by Theo(3504) About Me 

Question 648023: 8. The mean of a normal probability distribution is 60; the standard deviation is 5.
a. About what percent of the observations lie between 55 and 65?
b. About what percent of the observations lie between 50 and 70?
c. About what percent of the observations lie between 45 and 75?

PLEASE HELP!!!

Click here to see answer by Theo(3504) About Me 

Question 648028: A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40. Compute the probability the sample mean is:
a. Less than 74.
b. Between 74 and 76.
c. Between 76 and 77.
d. Greater than 77.

I would love to get the answer so I can print it out and use it as a guide.
Thank you so much!

Click here to see answer by Theo(3504) About Me 

Question 648065: Case 1: Company XYZ produces processed meat such as hotdog, ham and longganisa. To produce hotdog, a molding machine is
being used. For the past month, the machine is producing hotdogs with inconsistent weight. Thus, the manager wants his production
engineer to analyze the machine. A certain lot of hotdogs with 12 units was specially produced. 3 units were sampled by the quality
inspector. The said lot contains 5 defective units.
a. Write the probability distribution of the random variable X, which is the number of good units in the sample.
b. Find the expected value of the number of good units in the sample.
c. Find the probability that in the sample taken, there is no item that is defective.
d. Find the probability that at least two items are found defective in the sample taken

Click here to see answer by stanbon(57960) About Me 

Question 648157: 10. After attending a marital therapy session, a wife's anxiety score is 75, while her husband's is 80. Overall, a wife's average anxiety score after such sessions is 70 (SD=10), and a husband's average anxiety score after such sessions is 85 (SD=5). Relative to the others of the same gender, who has the lower anxiety after the sessions. Briefly explain

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Question 648012: A jar contains two red marbles, three blue marbles, and four green marbles. Phi draws one marble from the jar. Kenny draws a marble from those remaining. What is the probability that Phi draws a green marble and Kenny draws a blue marble? Express your answer as a common fraction.
Click here to see answer by stanbon(57960) About Me 

Question 648000: 1. In a study of how late people are to work, 64% of the variability of the amount of time late could be accounted for by the time spent in traffic jams. What was the correlation coefficient?
choose an answer
a. .6
b. .64
c. .8
d. None of the above are correct
2. The direction of causality
choose an answer
a. Can be determined when two variables have significant linear correlation
b. Can be determined when two variables have significant nonlinear correlation
c. Can be determined when two variables have no correlation
d. Cannot be determined based on correlation alone
3. Consider the following sets of variables. When is computing correlation appropriate?
choose an answer
a. Weight and height
b. Gender and height
c. Age (11-20, 21-30, …) and height
d. Name and height
4. Which of the following correlations is weakest?
choose an answer
a. -1
b. -.5
c. 0
d. +1
5. A variable that can be used to predict the value of another variable is called
choose an answer
a. predictor variable
b. criterion variable
c. continuous variable
d. discrete variable


Click here to see answer by stanbon(57960) About Me 

Question 648329: Been out of school a while and I'm required to take an SPC course for work and having difficulty understanding how an answer was calculated.
Urn contains 1000 Black Beads, 4000 white beads, the example states the probability of getting exactly Five black beads in a random sample of 50 beads is 0.030 (3%), they don't show how this is calculated, was wondering if you could help.
Thanks.
Greg

Click here to see answer by ewatrrr(10682) About Me 

Question 648340: 1.Which of the following correlations is weakest?
a. -1
b. -.5
c. 0
d. +1
2.Consider the following sets of variables. When is computing correlation appropriate?
a. Weight and height
b. Gender and height
c. Age (11-20, 21-30, …) and height
d. Name and height
3.The direction of causality
a.Can be determined when two variables have significant linear correlation
b. Can be determined when two variables have significant nonlinear correlation
c. Can be determined when two variables have no correlation
d. Cannot be determined based on correlation alone


Click here to see answer by MathLover1(6810) About Me 

Question 648390: How many different ways can three algebra books, two trigonometry books, and two arithmetic books be arranged on a shelf?
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Question 647460: A random sample of size 36 is to be selected from a population that has a mean μ = 50 and a standard deviation σ of 10. -
- Find the mean of this sampling distribution.
- Find the standard error of this sampling distribution.
Thanks!
-Devin

Click here to see answer by stanbon(57960) About Me 

Question 648221: Find the mean and standard deviation given that 95% of the balls with string have lengths exceeding 490 meters and 99% have lengths exceeding 485 meters.
Thanks so much!

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Question 648505: The scatter plot below shows the relationship between pre-test and post-test scores in a Statistics class. The horizontal axis represents the pre-test scores. Use this graph to answer the questions below.
(The graph is positive and the correlations are in the upper hand corner the points are as follows...(50,60),(55,65),(60,55),(70,70)(75,75),(80,85),(85,90), and (80,95).
(A) How would you describe the relationship between pre-test and post-test scores in this class?
(B) Approximately what post-test score did the student with a pre-test score of 70 receive?
(C) Would the slope of the "line of best fit" be positive or negative?

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Question 648552: Billy has 100 sports cards. The number of baseball cards is twice the number of football cards. The number of basketball cards is four more than the number of football cards. Find the number of basketball cards.Please help to solve!
Click here to see answer by lynnlo(4169) About Me 
Question 648552: Billy has 100 sports cards. The number of baseball cards is twice the number of football cards. The number of basketball cards is four more than the number of football cards. Find the number of basketball cards.Please help to solve!
Click here to see answer by MathTherapy(1480) About Me 

Question 648754: The following items are based on the summarized table below:
hours of study
1
2
3
5
ZX=11
score on the quiz
3
5
7
9
ZY=24
XY
3
10
21
45
ZXY79

1.What is the criterion variable?
2.What is the predictor variable?
Part A** Compute the Pearson correlation.
3.What is the covariance?
4.What is the standard deviation of the predictor variable?
5.What is the standard deviation of the criterion variable?
6.What is the Pearson’s r value?
Part B**Compute the regression equation.
Steps:
7.What is the numeric value for the slope?
8.What is the y-intercept?
9.Set up the regression equation and use to predict the total number of points on the quiz for a person studying 6 hours. The number of points predicted for a person studying 6 hours is?

Click here to see answer by lynnlo(4169) About Me 

Question 648874: The chance of rain today is 80 percent. which of the best explains this statement?
(a) It will rain 80 percent of the day today
(b) It will rain in 80 percent of the area to which this forecast applies today
(c) In the past, weather conditions of this sort have produced rain in this area 80 percent of the time
Please answer this, thanks

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Question 648887: Assume that the readings on the thermometers are normally distributed with the mean of 0(degrees) and a standard deviation of 1(degrees). A thermometer is randomly selected and tested. Find the probability that the reading in degree is...
Greater than 1.33?

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Question 649037: The following items are based on the summarized table below:
hours of study
1
2
3
5
ZX=11
score on the quiz
3
5
7
9
ZY=24
XY
3
10
21
45
ZXY79
Part A** Compute the Pearson correlation.
1.What is the covariance?
2.What is the standard deviation of the predictor variable?
3.What is the standard deviation of the criterion variable?
4.What is the Pearson’s r value?
Part B**Compute the regression equation.
5.What is the numeric value for the slope?
6.What is the y-intercept?
7.Set up the regression equation and use to predict the total number of points on the quiz for a person studying 6 hours. The number of points predicted for a person studying 6 hours is?

Click here to see answer by lynnlo(4169) About Me 

Question 649298: A box contains 21 transistors, 7 of which are defective. If 7 are selected at random, find the probabpility that:
A. All are defective
B. None are defective

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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