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

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Question 139812This question is from textbook Fundamentals of Algerbraic Modeling
: Write an equation of the line that passes through the points (3,2) and (-1, 10).This question is from textbook Fundamentals of Algerbraic Modeling

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Question 139794This question is from textbook Applied statistics in business and economics
: High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this
hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld
sound meter. Noise level is defined as “Low” (under 88 decibels), “Medium” (88 to 91 decibels),
or “High” (92 decibels or more). There are three flight phases (Climb, Cruise, Descent). Research
question: At α = .05, is the cockpit noise level independent of flight phase?
This question is from textbook Applied statistics in business and economics

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Question 139767: Helen Smith just conducted a single-factor experiment and collected 30 observations. Her analysis of variance produced a sum of squares total (SST) that contained how many degrees of freedom?
a. 28
b. 29
c. 30
d. 31

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Question 139765: The technique that is used to determine if more than two population means are equal by analyzing the variation in the data is known as
a. chi-square.
b. analysis of variance.
c. correlation analysis.
d. least squares regression.

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Question 139746This question is from textbook
: An expert witness in a case of alleged racial discrimination in a state university school of nursing introduced a regression of the determinants of Salary of each professor for each year during an 8-year period (n = 423) with the following results, with dependent variable Year (year in which the salary was observed) and predictors YearHire (year when the individual was hired), Race (1 if individual is black, 0 otherwise), and Rank (1 if individual is an assistant professor, 0 otherwise). Interpret these results.
Variable Coefficient t p
Intercept −3,816,521 −29.4 .000
Year 1,948 29.8 .000
YearHire −826 −5.5 .000
Race −2,093 −4.3 .000
Rank −6,438 −22.3 .000
R2 = 0.811 R2adj = 0.809 s = 3,318
This question is from textbook

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Question 139761: Find the probability that a dart will (a)hit in the baseball field (b) hit in one of the 4 smaller squares (c) will miss all five target squares, on a square dart board that has 60cm sides with a square baseball field (inside the square dart board)40cm on it's sides, and 4 smaller squares (inside square dart board, but outside of baseball field) each 10cm on a side as the targets.
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Question 139745: There is no answer associated with the question below posted but is showing as answered in the que. Please help!
Question 139208: High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this
hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld
sound meter. Noise level is defined as “Low” (under 88 decibels), “Medium” (88 to 91 decibels),
or “High” (92 decibels or more). There are three flight phases (Climb, Cruise, Descent). Research
question: At α = .05, is the cockpit noise level independent of flight phase? (Data are from Capt. Robert E. Hartl, retired.) Noise
Noise Level Climb Cruise Descent Row Total
Low 6 2 6 14
Medium 18 3 8 29
High 1 3 14 18
Col Total 25 8 28 61

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Question 139879: The mean of all the observations of an experiment is called the ___________ mean.
a. group
b. treatment
c. block
d. grand

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Question 139878: The technique of analysis of variance was originated in England by ___________ while conducting agricultural experiments.
a. Student
b. Gauss
c. Pascal
d. Fisher

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Question 139856This question is from textbook
: in a bridge club, there are three more women than men. how many people are members of the club if the probability that a member chosen at random, is a woman is 3/5?This question is from textbook

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Question 139876: Johnson’s Service Center has devised three potential options available to preferred customers who redeem coupons and buy at least 10 gallons of fuel when they stop in. Option A is a flat 3 cents off each gallon. Option B is a combination of 2 cents off plus another $1 discount on the regular price of a $5 deluxe car wash. Option C is a $2 discount on the same $5 deluxe car wash but no reduction in the fuel purchase. The owner, Harold Johnson, ran each option on three different two-week trial periods and tracked daily sales receipts from those customers who redeemed their coupons. Results are shown in the table below:
Option A Option B Option C
$453________492________467
507_________514________525
513_________536________516
521_________511________500
511_________528________435
615_________678________462
601_________611________411
552_________653________674
551_________596________512
505_________516________559
515_________534________624
512_________543________711
476_________498________512
427_________437________416
Harold elected to conduct a one-way ANOVA for his single-factor experiment.

What is the total sum of squares ?
a. 211,049.6
b. 204,880.6
c. 198,711.6
d. 173,512.1

What is the sum of squares error?
a. 204,880.6
b. 198,711.6
c. 211,049.6
d. 167,343.1

What are the values of the F statistic and the critical value at the 0.05 level of significance?
a. 5.325, 19.55
b. 1.653, 5,18
c. 0.937, 3.24
d. 0.605, 3.24

What conclusion can Harold make, based on the results of the ANOVA?
a. Receipts from option A are significantly greater than the receipts from either options B or C.
b. Receipts from option B are significantly greater than the receipts from either options A or C.
c. Receipts from option C are significantly greater than the receipts from either options A or B.
d. Receipts from all three options are the same

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Question 139855This question is from textbook
: in a bridge club, there are three more women than men. how many people are members of the club if the probability that a member chosen at random, is a woman is 3/5?This question is from textbook

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Question 139893: Can you please tell me if this is correct?
If one of the 50 shoppers surveyed is chosen at random, what is the probability that the shopper preferred either drink A or drink B? My answer would be 17/50
Drink survey

Drink A = 5 shoppers
Drink B = 12 shoppers
Drink C = 14 shoppers
Drink D = 11 shoppers
Drink E = 8 shoppers

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Question 139766: The mean of all the observations of an experiment is called the ___________ mean.
a. group
b. treatment
c. block
d. grand

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Question 139901: A student team examined parked cars in four different suburban shopping malls. One hundred vehicles were examined in each location. At a = .05, does vehicle type vary by mall location? ( Data are from a project by MBA students Steve Bennett, Alizia Morals, Steve Olson, and Geg Corda).
Vehicle Type Somerset Oakland Great Lakes Jamestown Row Total
Car 44 49 36 64 193
Minivan 21 15 18 13 67
Full Size Van 2 3 3 2 10
SUV 19 27 26 12 84
Truck 14 6 17 9 46
Col Total 100 100 100 100 400

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Question 139900: Sixty four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. At a = .01, is the degree of certainty independent of credits earned?
Credits earned Very certain Somewhat certain very certain Row Total
0-9 12 8 3 23
10-59 8 4 10 22
60 or more 1 7 11 19
Col Total 21 19 24 64

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Question 139939: A(n) _____________ is a variable that can be used to differentiate one group or population from another.
a. factor
b. level
c. observation
d. replicate

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Question 139974This question is from textbook Applied Statistics in Business and Economics
: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the
resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with
the results shown below. Research question: Are the mean crash damages the same for these three
vehicles? Crash1
Goliath
1600
760
880
1950
1220
Varmint
1290
1400
1390
1850
950
Weasel
1090
2100
1830
1250
1920
This question is from textbook Applied Statistics in Business and Economics

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Question 139925: Can people really identify their favorite brand of cola? Volunteers tasted coca-cola classic, pepsi, Diet cola,and Diet pepsi, with the results ahawn below. At a = .05, is the correctness of the prediction different for the two types of cola drinkers? could you identify your favorite brand in this kind of test? Since it is a 2x2 table, try also a two-tailed two-sample z test for n= n2, vertify that z2 is the same as your chi square statistic, which test do you perfer? Why ( Data are from consumer Reports 56, no.8 (August 1991), p. 519.
Correct Regular cola Diet cola Row Total
Yes, got it right 7 7 14
No, got it wrong 12 20 32
Col Total 19 27 46

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Question 139922: High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. Aboeing 727 co-pilot collected 61 noise observations using a handheld sound meter. Noise level is defined as "low" (under 88 decibels), "medium" (88 to 91) decibels), or "high" (92 decibels or more). There are three flight phases (climb, cruise, descent). At a = .05 is the cockpit noise level independent of flight phase? ( Data are from capt. Robert E. Hartl.
Noise level Climb Cruise Descent Row Total
Low 6 2 6 14
medium 18 3 8 29
high 1 3 14 18
col total 25 8 28 61

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Question 139919: Classic Lotto Prize Payout Table
Amount of Numbers Prize
3 $2
4 $50
5 $2000
6 Jackpot
CT Lottery is played by selecting six different numbers out of forty-four numbers on a game card (1-44). Six different numbers are drawn randomly by CT. If your selection matches all six of the states drawn numbers then you win the jackpot.
What is the probability of winning the jackpot prize?
How do I figure this out?
I think the actual answer is either 5,082,517,440 by multiplying 44x43x42x41x40x39 or it could be 7,059,052 but I don't know how to get that answer. Can you please explain to me how to do it. Thank you

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Question 139764: The technique of analysis of variance was originated in England by ___________ while conducting agricultural experiments.
a. Student
b. Gauss
c. Pascal
d. Fisher

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Question 139734: Having a lot of trouble with this. Please help and show me how so I can actually learn from all this. Thanks!
PS- I am allowed to use Megastat on this so any direction there would be welcomed as well.
Q: Labor negotiators estimate that 30% of all major contract negotiations result in a strike. During the next year, 12 major contracts must be negotiatied. Show all of your work, the results below are from MegaStat.
Binomial Distribution:
N 12
P 0.3
Expected Value 3.600
Variance Standard 2.520
Deviation 1.587
A. Determine the probabiltiy of no strikes next year.
B. Determine the probabiloty of 3 or 4 strikes next year.
C. What is the average number of strikes expected for next year?

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Question 139732: Having a lot of trouble with this. Please help and show me how so I can actually learn from all this. Thanks!
PS- I am allowed to use Megastat on this so any direction there would be welcomed as well.
The bi-monthly starting salaries of recent statistician graduates follow the normal distribution with a mean of $2,625 and a standard deviation of $350. (shos all your work please)
A. What is the z-value for a salary of $2,200?
B. What is the approximate percent of statisticians making between $2,625 & $2,975?
C. What is the approximate percent of statisticians making between $2,275 & $2,625?

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Question 139730: Having a lot of trouble with this. Please help and show me how so I can actually learn from all this. Thanks!
Occurrences
0
1
2

Probability
0.60
0.30
0.10

#1 Compute the mean number of the incidents
#2 Compute the variance for this distribution
PS- I am allowed to use Megastat on this so any direcetion there would be welcomed as well.

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Question 139972: You roll two standard dice and multiply the results. What is the probability that the product is odd?
b)You roll three standard dice and add the results. What is the probability that the sum is at most 4?
thankyou so much for your time. Bill

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Question 139725This question is from textbook Fundamentals of Algerbraic Modeling
: IQ scores have a normal distribution with a mean of 100 and a standard deviation of 15. What two IQs seperate the middle 90 percent from the remainder of the distribution?

part of my answer is: 90 - 100 / 15 = 0.66
and the second part is what i am having trouble with
This question is from textbook Fundamentals of Algerbraic Modeling

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Question 139546: help..
2. For the ANOVA table below, answer each question.
A. How many treatments (groupings) are being compared?
B. How many total observations are in this analysis?
C. What is the hypothesis tested here?
Source DF Sum of Squares Mean Square F Ratio Prob>F
ID 2 49.38620 24.6931 1.4837 0.2415
Error 33 549.20797 16.6427
C. Total 35 598.59417


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Question 139473: need help please.....
For the ANOVA table below, answer each question.
Source DF Sum of Squares Mean Square F Ratio Prob>F
ID 2 49.38620 24.6931 1.4837 0.2415
Error 33 549.20797 16.6427
C. Total 35 598.59417

A. How many treatments (groupings) are being compared?
B. How many total observations are in this analysis?
C. What is the hypothesis tested here?

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Question 140064: There are two spinners. The first spinner is a circle that is cut in fours. the numbers read 10, 12, 14, 18. The other spinner is also cut in fours and the numbers are 1, 2, 3, 4
Ok.. The two spinners shown are spun and the difference between the results is found. Find the probability that the difference is a multiple of 3.
Thankyou.. Danielle, AKA Dani

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Question 140048: I pick up 3 cards from a standard deck, one after another, keeping each card that I pick (without replacement) What is the probability that as least 2 of the 3 cards are the same suit?
B) There are 10 cards in a hat, 4 red and the rest black. You pull out 2 cards without looking. What is the probability that they are the same color? Would this be (Prob of red)= 4/10*3/9+(Prob of all black) 6/10*5/9=42/90= 46%

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Question 140091: HELP! I have tried several different ways to set up this problem, but I can't get it right! I don't know what formula to use in order to solve it.
Melinda’s lights went out. She has 3 pairs of red socks in her drawer, 2 pairs of black socks, and 5 pairs of white socks. What is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color?
Thank you!

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Question 140104: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash1
Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920

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Question 140268: In order to test whether marathon races are bad for health, a researcher took a random sample of 400 runners who participated in the New York half marathon, and found that 13% of them got sick in the two-week period after the marathon. In a second sample of 400 runners who did not participate in the marathon, only 3% were sick in the same two week period. What would be the null hypothesis? Find a 90% confidence interval for the percentage of New York half marathon runners who got sick in the two weeks after the race.

PLS pls help, I am only a student in long distance education and need help to solve exam problems. This is from my question paper

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Question 140267: To see whether silicon chip sales are independent of where the US economy is in the business cycle, data have been calculated on the weekly sales of a firm and on whether the US economy was rising to a cycle peak, at a cycle peak, falling to a cycle peak or at a cycle trough. The results are
Weekly Chip Sale
HIGH MEDIUM LOW TOTAL
Economy at peak 20 7 3 30
Economy at trough 30 40 30 100
Economy rising 20 8 2 30
Economy Falling 30 5 5 40
TOTAL 100 60 40 200
State the null hypothesis. At 0.10 significance level, what is your conclusion?
Given the tabulated value of test statistic is 10.645

Pls hlep. I am student from long distance education and these are the kind of questions that come for my exam

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Question 140263: Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The executives hire a statistical consultant and ask her to determine the mean shopping time, , of customers at the supermarkets. The consultant will collect a random sample of shopping times at the supermarkets and use the mean of these shopping times to estimate . Assuming that the standard deviation of the population of shopping times at the supermarkets is minutes, what is the minimum sample size she must collect in order for her to be confident that her estimate is within minutes of ?
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
(If necessary, consult a list of formulas.)

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Question 140266: The members of a consulting firm rent cars from three rental agencies:
60% from Agency 1, 30 % from Agency 2 and 10% from Agency 3. If 9% of the cars from Agency 1 need a tune-up, 20 % of the cars from agency 2 need a tune up and 6% of the cars from agency 3 need a tune-up, what is the probability that a rental car delivered to the firm will need a tune -up?
Pls help as I am student from long distance education and unable to solve this...

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Question 140256: The following hypotheses is an example of
H0:π ≤.40
Ha:π > .40
a a one tail test for means
b. a two tail test for means
c. A one tail test for proportions
d. a two tail for proportions
e. None of the above

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Question 140262: 1.Of the following ordinary words, which one is most closely associated with the meaning of a hypothesis?
a. trial
b. decision
c. outcome
d. assumption
2.The appropriate null hypothesis for an upper-tail test to determine if mean body weight of all the men who have joined a health club exceeds 185 pounds would be
a. HO: u = 185 lb.
b. HO: u > 185 lb.
c. HO: u less than or = to 185 lb
d. HO: u not = to 185 lb
3.The test statistic that is used to test hypotheses about the mean when a small sample is involved follows a _________ distribution.
a. t
b. z
c. chi-square
d. binomial

Use the following scenario for questions 4 – 6
Easy Eye, Inc. manufactures adult sunglasses of all types. The company’s management is not sure whether to target the next promotional campaign primarily toward men or women and has asked the research team to determine whether the market for sunglasses is split in half. A study is conducted at various cooperating stores selling sunglasses scattered throughout the market area. In a random sample of 300 adult purchasers of sunglasses, 141 were men.
4.If pi is the proportion of adult sunglass purchasers who are men, what is the appropriate null hypothesis for Easy Eye, Inc. to test?
a. H0: pi = 0.5
b. H0: pi is not = to 0.5
c. H0: pi greater than or = to 0.5
d. H0: pi less than or = to 0.5
5.What is the value of the test statistic?
a. –0.06
b. –0.50
c. –1.04
d. –2.54

6.Based on the data and at alpha = 0.05, what can Easy Eye’s management conclude?
a. An equal proportion of men and women are buying sunglasses in the market area.
b. A greater proportion of women buy sunglasses than do men in the market area.
c. A greater proportion of men buy sunglasses than do women in the market area.
d. There is not an equal proportion of men and women buying sunglasses in the market area.
7.Sherry Weinstein, a buyer, has decided that she will spend an extra $7 per shirt for the next 10,000 T-shirts she buys for her chain of stores only if the vendor of the more expensive shirt can show conclusive evidence that its shirt can withstand at least 20 more times in the wash without fading. The vendor elected to set u1 as the mean number of washes without fading for the more expensive shirt. An appropriate null hypothesis for the vendor to test is
a. H0: u1 – u2 less than or = to 20.
b. H0: u1 – u2 < 20
c. H0: u1 – u2 > 20.
d. H0: u1 – u2 greater than or = to 0
8.The technique that is used to determine if more than two population means are equal by analyzing the variation in the data is known as
a. chi-square.
b. analysis of variance.
c. correlation analysis.
d. least squares regression.

9.The least squares method finds the equation of the line that __________ the __________ of the squared deviations between the points and the line.
a. maximizes, sum
b. minimizes, product
c. minimizes, sum
d. maximizes, product
10.A linear regression between Y and X produced the following equation for the least squares line:
y(with a little upside v over it) = 2.15 – 3.2x
Which of the following statements concerning this relationship is true?
a. For every one-unit increase in X, Y increases 3.2 units.
b. For every one-unit increase in Y, X decreases 3.2 units.
c. For every one-unit increase in X, Y decreases 3.2 units.
d. For every one-unit increase in Y, X increases 3.2 units.

11.Horace Mann, principal of Jones Public School, has decided to construct a time series model to obtain a 2- and a 3-period moving average to forecast student enrollments for next term. Which statement is true concerning the accuracy of each forecast that Horace will obtain?
a. The 2-period forecast will be more accurate than the 3-period forecast.
b. The 3-period forecast will be more accurate than the 2-period forecast.
c. Both forecasts will be equally accurate.
d. Either forecast could be more accurate than the other.

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Question 140135: If I have a normal distribution that has a mean of 100 and standard deviation of 20, and if I draw a sample of size n=40, how do I find the probability that all the 40 sampled values are less than 120? The 40 values being sampled are done so without replacement.
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Question 140327: please help solve: I have a deck of 52 cards. All red cards have been removed from the deck. Remaining cards have been shuffle.
select a card from the remaining deck. Do not replace the card. Select another card. What is the probability that a red three is selected and a face card is selected.
my answer is 0.
there are no red cards in the deck?
But what about the face card???

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Question 140366: A quiz with 4 multiple choice questions, each with 3 choices, was given. A student needs either 3 or 4 right to pass the quiz, but is totally clueless like myself. What is the probability of passing by pure guesswork? I wonder if my teacher made this problem up to make fun of me? :(.. thankyou Shelly
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Question 140324: Please help solve.
I have a deck of 52 cards. all the face cards have been removed from the deck, which is 12 cards. Select 3 cards from the pile of 12 cards. for each question.
How many ways are there of selecting one of each facecard from the pile, is it combination or permutation and why.
How many ways are there of selecting three of the same face cards ( 3 kings, 3 jacks, 3 queen) from the pile. Combination or permutation and why

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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