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

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Question 556876: 7 exterior colors and 15 interior colors, how many different ways of painting your house are there?

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Question 556898: You pull a card out of a standard 52-card deck and you pull one card out of another standard deck. What is the probability of pulling a 3 at least once?

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Question 556983: you have 100 cans of soda 40 cola, 10 ginger ale, 20 orange, and 30 grape of the 100 sodas what is the probability of choosing ginger ale ?.
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Question 556954: THE DATA SHOW THE LENGTHS ( IN INCHES) OF A SAMPLE OF 14 BUTERFLY WINGS.
A. FIND THE DATA SET’S FIRST, SECOND, AND THIRD QUARTILES.
"3.9 ","4.2 ","5.0 ","4.5 ","3.2 ","3.4 ","4.1 ","3.2 ","4.4 ","4.9 ","3.2 ","4.4 ","4.9 , "3.1"
FIND THE THREE QUARTILES.
Q=(1)_____________
Q (2) =__________
Q (3) =____________

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Question 556947: IN GAMBLING, THE CHANCES OF WINNING ARE OFTEN WRITTEN IN TERMS OF ODDS RATHER THAN PROBABILITIES. THE ODDS OF WINNING IS THE RATION OF THE NUMBER OF SUCCESSFUL OUTCOMES TO THE NUMBER OF UNSUCCESSFUL OUTCOMES TO THE NUMBER OF SUCCESSFUL OUTCOMES. FOR EXAMPLE, IF THE NUMBER OF SUCCESSFUL OUTCOMES IS 2 and the number of unsuccessful outcomes is 3.THE ODDS OF WINNING ARE 2:3 (read “2 to “3) OR 2/3. (NOTE: IF THE ODDS OF WNNING ARE 2/3. THE PROBABILITY OF SUCCESS IS 2/5)
The odds of an event occurring 2:5.
FIND (A) THE PROBABILITY THAT THE EVENT WILL OCCUR AND (b) THE PROBABILIY THAT THE EVENT WILL NOT OCCUR.
(A) The probability that the event will occur is ­­___________. (Round to the nearest thousandths as needed).
(B)The probability that the event will not occur is: __________. (Round to the nearest thousandths as needed).

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Question 556797: A jar contains 25 candies of which 15 are chocolate and 10 are mint. A sample of 5 candies is to be selected.
a)how many different samples are possible?
b)how many samples contain chocolate candies?
c)how many samples contain 3 chocolate and 2 mint candies?
d) how many samples contain atleast 4 mint candies?{"

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Question 557004: I did a science experiment and found the average distance of a particular item launched off a ramp on top of a table. Now I have to find the average velocity. The average distance traveled that I came up with is 35.5 inches from the table and the table height is 31 inches. I'm using the following equation to determine the average velocity: R= velocity√ 2H/g. Where velocity =R√2H/g. R=35.5, g=9.8m/s², H=31inches. Thanks for your assistance. If you do provide the answer I really need to understand how it is done.
Click here to see answer by stanbon(57953) About Me 

Question 557101: In this problem:
In a certain microwave oven on the high power setting, the time it takes a randomly chosen kernel of popcorn to pop is normally distributed with the MEAN of 150 seconds and a standard deviation of 25 seconds. What percentage of the kernels will fail to pop if the popcorn is cooked for
a) 2 minutes = 120 seconds
z(120) = (120-150)/25 =-30/25 = -6/5 = -1.2
P(z>-1.2) = 0.8849
I do understand how -1.2 was achieved but I do not understand how the final answer "0.8849 was achieved. Can you help me with that part? Thanks.

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Question 557127: Students at a high school know that January means preparation for midterms. About 11 out of 20 students usually increase their amount of studying in preparations for midterms. What is the probability that less than 40% of a 45 person sample actually increases its studying habits?
Thank you for your help! I have a whole sheet with similar problems that I don't understand, but I'm sure that by understanding this one, I can solve the rest, so thanks again! :)

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Question 557126: Find each probability if you pick two marbles without replacing the first
4 green. 2 red. 3 yellow
P(yellow, then not yellow)

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Question 557193: In a batch of 400 pieces, 10 are defective. 20 pieces are randomly chosen. What is the probability that no more than 6 pieces are defective? What is the probability that 0 pieces are defective?
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Question 557198: If the random variable z is the standard normal score and a > 0, is it true that P(0 < z < a) = 1 - P(z < a)? Why or why not?
(Points : 3)

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Question 557148: THE LENGTHS OF THE FIRST 10 WORDS OF 2 BOOKS ARE LISTED BELOW. FIND THE RANGE, VARIANCE, AND STANDARD DEVIATION FOR EACH OF THE TWO SAMPLES. THEN COMPARE THE TWO SETS OF RESULTS. DO THESE APPEAR TO BE A DIFFERENCE IN THE VARIATION?
"Book 1:" 7,10,11,12,2,11,1,10,1,2
"Book 2:" 6.2,5,5,6,4,3,6,6,3
FIND THE RANGE FOR BOOK 1:
RANGE = ________LETTERS.
FIND THE RANGE FOR BOOK 2:
RANGE= ________LETTERS.
FIND THE VARIANCE AND STANDARD DEVIATION FOR BOOK 1.
SAMPLE VARIANCE = __________LETTERS (squared) (round to one decimal place as needed), DO NOT
ROUND UNTIL THE FINAL ANSWER. THEN ROUND TO ONE DECIMAL PLACE AS NEEDED.)
FIND THE VARIANCE AND STANDARD DEVIATION FOR BOOK 2:
SAMPLE VARIANCE = ________LETTERS (Squared) Round to one decimal place as needed.
(DO NOT ROUND UNTIL THE FINAL ANSWER. THEN ROUND TO ONE DECIMAL PLACE AS NEEDED.)
IS THERE A DIFFERENCE IN VARIATION BETWEEN THE TWO BOOKS?
A.YES, THERE IS MUCH LESS VARIATION AMONG THE WORLD LENGTHS IN BOOK 2.
B.YES, THERE IS MUCH LESS VARIATION AMONG THE WORLD LENGTHS IN BOOK 2.
C.NO, THERE IS NOT A DIFFERENCE IN THE VARIATION.

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Question 557083: At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain
a mean of 520 ml. The filling process follows a normal distribution with a known process standard deviation of 4 ml.
A) Which sampling distribution would you use if random samples of 10 bottles are
to be weighed? Why?
B) Set up hypotheses and a two-tailed decision rule for the correct mean using
the 5 percent level of significance.
C) If a sample of 16 bottles shows a mean fill of 515 ml, does this contradict the hyposthesis that the true mean is 520?

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Question 557258: 70% of Valorites can answer the previous question correctly, suppose you select 3 Valorites at random, what is the probability that at least one of the 3 can answer correctly?
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Question 557182: Into which range (response 1,2, or 3) does the following value fall:3.4?
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Question 557230: in 1999, the tuition for one year at a university was $24,165. each year, the tuition increased by 6.15% each year.
A. write the equation to represent the situation.
B. what is the tuition in 2007?
C. in what year did the tuition reach $30,000?

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Question 557323: An executive committee consists of 11 members, 6 men and 5 women. 3 members are selected at random to go to a meeting in Hawaii. What is the probability that all 3 selected are women?
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Question 557294: There are 40 yellow and blue marbles in a bag . There are 4 times as many yellow marbles as blue marbles
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Question 557424: THE NUMBER OF WINSFOR EACH TEAM IN A LEAGUE LAST YEAR ARE LISTED.
MAKE A FREQUENCY DISTRIBUTION FOR THE DATA SET (USE 4 CLASSES OF WIDTH 2 STARTING AT 3). THE APPROXIMATE OF THE POPULATION STANDARD DEVIATION OF THE DATA SET
9 3 5 8 5 5 4 3 3 3
8 4 9 6 7 3 3 4 4 4
Complete the frequency distribution. (The Classes are listed under Class, and the F (frequency) are the blank lines listed underneath it)
CLASS f
3-4 -----
5-6 -----
7-8 -----
9- 10 -----
-The population mean is approximately _________. (SIMPLIFY OUR ANSWER.)
-THE POPULATION STANDARD DEVIATION IS APPROXIMATELY = __________. (ROUND TO THE NEAREST HUNDREDTHS AS NEEDED)

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Question 557417: Find the probability of answering two true or false questions correctly if random guesses are made. Only one of the choices is correct.
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Question 557414: a) A General Incorporated Mill’s packing machinery is known to pour dry cereal into economy size boxes with a standard deviation of 0.6 ounce. The two samples, taken from two machines, yield the following information:
Machine A Machine B





Assume the Machine-A is and Machine-B is , construct the 95.44% confidence interval estimate for .
b) Why we call the standard deviation of sampling distribution of a statistic as the standard error of the statistic?

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Question 557413: A random sample of 100 recorded deaths in an urban city during the past year showed an average life span of 71.8 years, with a standard deviation of 8.9 years. Does this seem to indicate that the average life span today is greater than the 70 years? (Use a 0.05 level of significance.)
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Question 557546: I NEED HELPP!! " Three hundred sventy-five percent of 1300 is what number?"
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Question 557661: A person spins the pointer on a game and is awarded the amount indicated by the pointer for blue recieves $2.00, green recieves $ 8.00 and yellow recieves $ 12.00. It costs $6.00 to play the game. Determine the expectation of the person playing the game and the fair price to play the game.
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Question 557628: An independent measures research study was used to compare two treatment conditions with n = 12 participants in each treatment. The first treatment had a mean of M =55 with a variance of s2 = 8, and the second treatment had M= 52 and s2 =4. Do these data indicate a significant difference between the two treatments? Use a two-tailed test with a = .05. ( Note: Because the two samples are the same size,the pooled variance is simply thew average of the two sample variance.)
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Question 557621: if other factors are held constant, how does increasing the sample variance affect the value of the independent-measures t statistic and the likelihood of rejecting the null hypothesis?
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Question 557697: how do I state the null and alternate hypotheses in determining whether a shipment of light bulbs have a specified value of 375
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Question 557798: For a normally distributed population, mean of 6.5 and standard
deviation of 4, compute:
a. The probability of picking one item from the population and having it fall between 6.5 and 14.75

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Question 557831: I am decimal.
.if you double me,my double is between 0.6 ang 0.7 but closer to 0.6
.my thousandths is not a 2, but the thousandths digit of my double is.
what decimal might i be?



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Question 557862: a truck is carrying water bottles. one fourth of the total number of bottles in the truck plus 18 bottles is equal to 56 bottles. how many water bottles is the truck carrying?
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Question 558141: For a certain game, the probability of choosing a card with the number 13 is .008. What is the probability of not choosing card 13?
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Question 558301: a mathematical statement indicating that two algebraic expression are equal
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Question 558316: the number 1 through 10 are each written on a separate piece of paper and put in a box.a piece of paper is drawn at random. what is the probability that the paper has 7 written on it?
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Question 558564: if you buy 15 raffle tickets what is the probability that you will win if 200 tickets are sold?
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Question 558562: Give the outcome values 3,8, and 10 and the corresponding probabilities 0.30,0.45, and 0.25, find the expected value? dont understand

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Question 558441: A 10 question quiz has 5 true/false & 5 mutiple choice questions. Each mutiple choice question has 4 choices. If you guess on every question, find P(acing the test).
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Question 558874: Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
(A)
x
1
2
3
4

P(x)
1/8
3/16
1/4
7/16


(B)
x
3
6
8

P(x)
0.2
3/8
0.4


(C)
x
20
35
40
50

P(x)
0.2
0.4
-0.3
0.7




Click here to see answer by stanbon(57953) About Me 

Question 558850: 4. The Wood County sheriff classifies crimes by age (in years) of the criminal and whether the crime is violent or nonviolent. As shown below, a total of 150 crimes were reported by the sheriff last year.
Age (in years)
Type of Crime Under 20 20 to 40 Over 40 Total
Violent 27 41 14 82
Non-violent 12 34 22 68
Total 39 75 36 150

a. What is the probability of selecting a case to analyze and finding it involved a violent crime?
b. What is the probability of selecting a case to analyze and finding the crime was committed by someone less than 20 years old?
c. What is the probability of selecting a case that involved a violent crime or an offender who is less than 20 years old?
d. What is the probability of selecting a case to analyze and finding it involved anonviolent given that this criminal is over 40?
e. What is the probability of selecting a case to analyze and finding it involved a Non-violent crime?

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Question 558823: A gas station has a 7% chance of running out of gas.
a)What is the probability the gas station will run out of gas one day in the next two weeks?
b)What is the probability the gas station will run out of gas at least two days in the next two weeks?
c)What is the expected number of times the gas station will run out of gas?

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Question 558920: According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. In a random survey of 10 women in this age group, what is the probability that at least eight were married?

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Question 559256: How many possibilities are there when you select 5 keyboards out of a total 25 keyboards. Order does not matter, thus meaning 1,2,3,4,5 would be the same as 1,2,3,5,4
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Question 559213: In your sock drawer you have 6 brown socks, 4 black socks and 8 white socks. without looking, what is the probability of you pulling out 2 white socks in a row?
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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