Math Is Fun Forum

Boy, that was not explained very well.
You know the probability of a certain chosen two distinct objects being beside one another.
If it in a row, that probability is the same as a circular linked list if you add in the missing link.

So you are right mom on 1 and 2 because they got exactly 8 times your answers!
But your 3rd last one: 38sqrt 8/64= You said you got 3sqrt3/4, please explain youself.

I am beginning to think you are right about perfect squares having an odd number of factors, so doors open because the square root factor is only counted once, and all the other factors are paired up.  Nice work!

I have two questions?  Is n different for each package?  How many packages are there?
I don't really get what you are trying to say.  But it seems interesting.

I suggest making one out of paper and labelling highlighting the dimensions that
you know or can derive.  This experiment will be very fun.    If you don't have
a protractor, you can use a watch or clock and the 160 degrees is approximately
from 3.333333 minutes to 30 minutes using the arc of a minute hand.

I made one out of paper and it appears to be about 22 degrees or half of a 45.
The whole angle appears to be about 45 degrees.  I assume you want half of that.

I can't think of a solution to the 365.25 turns and needing a lot of patience to watch it.

The confusion is that the sin of 18 could also be a half, and then they say no its not,
and use the other factor and use -b +- sqrt(b^2 - 4ac)/2a.

150.MewTwo (Sorry, last time, I must have cut and pasted # 150 wrong)
151.Mew                             
152.Chikorita                     
153.Bayleef                         
154.Meganium                   
155.Cyndaquil                   
156.Quilava                         
157.Typhlosion                 
158.Totodile                         
159.Croconaw                   
160.Feraligatr                     
161.Sentret                         
162.Furret                           
163.Hoothoot                     
164.Noctowl                       
165.Ledyba                         
166.Ledian                         
167.Spinarak                     
168.Ariados                       
169.Crobat                         
170.Chinchou                   
171.Lanturn                       
172.Pichu                           
173.Cleffa
174.Igglybuff
175.Togepi                         
176.Togetic
177.Natu
178.Xatu
179.Mareep
180.Flaaffy
181.Ampharos
182.Bellossom                   
183.Marril                           
184.Azumarill
185.Sudowoodo
186.Politoed
187.Hoppip
188.Skiploom
189.Jumpluff
190.Aipom
191.Sunkern
192.Sunflora
193.Yanma
194.Wooper
195.Quagsire                     
196.Espeon
197.Umbreon
198.Murkrow
199.Slowking
200.Misdreavus
201.Unown
202.Wobbuffet
203.Girafarig
204.Pineco
205.Forretress
206.Dunsparce
207.Gligar
208.Steelix
209.Snubble
210.Granbull
211.Qwilfish
212.Scizor
213.Shuckle
214.Heracross
215.Sneasel
216.Teddiursa
217.Ursaring
218.Slugma
219.Magcargo
220.Swinub
221.Piloswine
222.Corsola
223.Remoraid
224.Octillery
225.Delibird
226.Mantine
227.Skarmory
228.Houndour
229.Houndoom
230.Kingdra
231.Phanpy
232.Donphan
233.Porygon2
234.Stantler
235.Smeargle
236.Tyrogue
237.Hitmontop
238.Smoochum
239.Elekid                       
240.Magby
241.Miltank
242.Blissey
243.Raikou
244.Entei
245.Suicune
246.Larvitar
247.Pupitar
248.Tyranitar
249.Lugia
250.Ho-oh
251.Celebi

Here's the first 150:
001    Bulbasaur   
002    Ivysaur   
003    Venasaur   
004    Charmander   
005    Charmeleon   
006    Charizard   
007    Squirtle   
008    Wartortle   
009    Blastoise   
010    Caterpie   
011    Metapod   
012    Butterfree   
013    Weedle   
014    Kakuna   
015    Beedrill   
016    Pidgey   
017    Pigeotto   
018    Pidgeot   
019    Rattata   
020    Raticate   
021    Spearow   
022    Fearow   
023    Ekans   
024    Arbok   
025    Pikachu   
026    Raichu   
027    Sanshrew   
028    Sandslash   
029    Nidorans   
030    Nidorina   
031    Nidoqueen   
032    Nidoran   
033    Nidorino   
034    Nidoking   
035    Clefairy   
036    Clefable   
037    Vulpix   
038    Ninetales   
039    Jigglypuff   
040    Wigglytuff   
041    Zubat   
042    Golbat   
043    Oddish   
044    Gloom   
045    Vileplume   
046    Paras   
047    Parasect   
048    Venonat   
049    Venomoth   
050    Diglet   
051    Dugtrio   
052    Meowth   
053    Persian   
054    Psyduck   
055    Golduck   
056    Mankey   
057    Primape   
058    Growlithe   
059    Arcanine   
060    Poliwag   
061    Poliwhirl   
062    Poliwrath   
063    Abra   
064    Kadabra   
065    Alakazam   
066    Machop   
067    Machoke   
068    Machamp   
069    Bellsprout   
070    Weepinbell   
071    Victreebel   
072    Tentacool   
073    Tentacruel   
074    Geodude   
075    Graveler   
076    Golem   
077    Ponyta   
078    Rapidash   
079    Slowpoke   
080    Slowbro   
081    Magnemite   
082    Magneton   
083    Farfetche'd   
084    Doduo   
085    Dodrio   
086    Seel   
087    Dewdong   
088    Grimer   
089    Muk   
090    Shellder   
091    Cloyster   
092    Gastly   
093    Haunter   
094    Gengar   
095    Onix   
096    Drowzee   
097    Hypno   
098    Krabby   
099    Kingler   
100    Voltorb   
101    Electrode   
102    Exeggcute   
103    Exeggutor   
104    Cubone   
105    Marowak   
106    Hitmonlee   
107    Hitmochan   
108    Lickitung   
109    Koffing   
110    Weezing   
111    Rhyhorn   
112    Ryhdon   
113    Chansey   
114    Tangela   
115    Kangaskhan   
116    Horsea   
117    Seadra   
118    Goldeen   
119    Seaking   
120    Staryu   
121    Starmie   
122    Mr. Mime   
123    Scyther   
124    Jynx   
125    Electabuzz   
126    Magmar   
127    Pinsir   
128    Tauros   
129    Magikarp   
130    Gyarados   
131    Lapras   
132    Ditto   
133    Eevee   
134    Vaporeon   
135    Jolteon   
136    Fareon   
137    Porygon   
138    Omanyte   
139    Omastar   
140    Kaputo   
141    Kabutops   
142    Areodactyl   
143    Snorlax   
144    Articuno   
145    Zapados   
146    Moltres   
147    Dratini   
148    Dragonair   
149    Dragonite   
150    Mewtwo

Are there about 200 pokemon characters?  Is the number a constant, or will it increase?
I saw a poster with at least a hundred I thought on it once.

Daylight savings is in the summer, I agree I just heard that, and so in the winter the the sun probably is most direct at noon, while in the summer the noon time comes before the sun is overhead.   I wonder if that statement is true.  Also there are at least one place on Earth that has their time zone off by 1/2 an hour!  Maybe NewFoundland?  But that would be tough to show.
Finally due to the size of the bitmap viewing area, the +12, which is the -12 hour time zone doesn't fully print the time, you can
go from one end to the other to see each half of its display.   

And I have been watching the sun clock for weeks now and keep it as an open window in my browser.
This new one is spectacular!!!!!!!  I don't know how you do it.  And on the solar system one, it is very nice, but to
be more accurate, you would sacrifice movement of the earth around the sun, or would have to spin the earth
faster because it only spins maybe thirty times around in one year instead of 365.25
Did you try it at 365 spins, and not like how slowly it went around the sun?? 
But I must stress that the work is totally incredible!!!!!!!!