The worlds first riddle!

Is it because you will miss him?

Definitely. It seems as though the years have flown by. I'd like to hang on to both of them forever.

Buenas noches.

I think my parents are glad all 5 of us are out of their hair.

Ditto (not my dog either). Thank you for the metric lesson.

Actually it is Gute Nacht :wink:

Couldn't resist Tryagain
WA State
Highest Point:
Mt. Rainier at 14,411 feet, located in the county/subdivision of Pierce

Webpage Title

Just had to do this one too. The green one is already there. The other one they are still working on. I grew up on the West side where all the trees are.

Since Tryagain decided to take a vacation thoh13 and markr what can you teach me about the metric system?

You can always consider this a riddle by guessing who did the American version. Seeing a guy with tears in his eyes is touching.


http://www.youtube.com/watch?v=Sm5LE0Zt3jg

Howdy doody dudes, how are ya'll doin? Did you even notice I was missing?

I see Mark has a job at a spray booth , Thoh is back living like a rock star on campus whilst studying the Simpsons , and TTH is learning foreign decimal talk . All's well with the world then.

Ps. TTH, nice hill you live near. (Metallica)



When I was down in Colorado I had just 750 feet of fencing with me. I had to enclose a rectangular region and then divide it into four pens with fencing parallel to one side of the rectangle, so as to make temporary pens before shipping the cattle back to the ranch.

What is the largest possible TOTAL area of the four pens

In square feet please, no foreign stuff to confuse me, thank you.




TTH weighs half as much as Thoh, and Mark weighs three times as much as TTH. Their combined weight is 720 pounds. How much does each person weigh



I think the A2K Summer Camp question has defeated you all, and so I will award myself a well earned point for the victory.

[size=8]YESTERDAY...
follows today in a dictionary.

SUMMER CAMP
After 26 days, $134,217,726 would be owed.

Take back that victory point![/size]

[size=8]WEIGHTS
TTH: 120
Thoh: 240
Mark: 360

FENCING
Assuming all dividers are parallel.
5W + 2L = 750
L = (750 - 5W) / 2
maximize W*L = (-5W^2 + 750W) / 2
W = 75
L = 187.5
Total area = 14,062.5 square feet.[/size]

Well sometimes it is easier to delete then to edit. You saw my answer and yes I missed you.

Mark (the cruel)! "Take back that victory point!"

YESTERDAY...
follows today in a dictionary.

SUMMER CAMP
After 26 days, $134,217,726 would be owed.

WEIGHTS
TTH: 120
Thoh: 240
Mark: 360


If Thoh weighs twice as much as TTH, and Mark three times as much, dividing their total weight by six gives us TTHs weight (think x + 2x + 3x = 720). 720 divided by 6 tells us that TTH weighs 120 pounds, so Thoh weighs 240 pounds and Mark 360.



FENCING
Assuming all dividers are parallel.
5W + 2L = 750
L = (750 - 5W) / 2
maximize W*L = (-5W^2 + 750W) / 2
W = 75
L = 187.5
Total area = 14,062.5 square feet.


You can solve the problem with calculus or with precalculus. I will outline the precalculus solution:

Let w = the total width of the four pens.
Let x = the five lengths needed to enclose the four pens.


Then you can form two equations:
The total fencing is: 5x + 2w = 750
The Area is: A = xw


Solve the first equation for w:
w = 375 - 2.5x

Now substitute this expression for w in the Area equation:
A = x (375 - 2.5x)

Simplifying,
A = 375x - 2.5 x^2,
which is the equation of a parabola opening downward. The greatest area would be at the vertex of the parabola.

Perhaps, it is easier to see this if you replace A by y.
Then it will be in terms of x and y like you are accustomed to seeing. Just remember y stands for the area:

y = 375x - 2.5 x^2

You can solve this on a graphing calculator. If you do, be sure to change the domain and range!!! (Use something like 50 to 100 for x; and use 12000 to 15000 for y).

You can also solve this by completing the square. This will give you the coordinates of the vertex (x, y), which will give you the length of each pen (x) and the area of the four pens (y), which, of course, is what you are looking for.

y = 375x - 2.5x^2

I would rewrite it as:
2.5 x^2 - 375 x = -y

2.5 (x^2 - 150x ) = -y

2.5 (x^2 - 150x + 5625) = -y + 2.5(5625)

2.5 (x^2 - 150x + 5625) = -y + 14,062.5

2.5 (x - 75)^2 = - (y - 14,062.5)

-2.5 (x - 75)^2 = y - 14,062.5

so the vertex is (75, 14062.5) or in other words, the largest area is 14,062.5 square feet when x = 75 feet. By the way, the other dimension is 187.5 feet (this is the total width of the four pens). Young Mark must be in the cattle business.


TTH, "…yes I missed you."

How very sweet, I shall add you to my Christmas card list.



In a card game the four players; TTH, Mark, Thoh and Try, each receive 13 cards from a standard 52 card pack.

What is the probability that you would be dealt a hand containing no cards higher than a 10


A certain investment doubles Thoh's money every five years. If Thoh leaves all the money invested, in 40 years he'll have 384,000.

How long will it take to have $340,000 if he starts with twice as much money

How much money did he start with

a) 5 years less, or 35 years.
b) 40/5=8 n*2^8=340000. n= 1328.125

I do not know the math to do the problems you listed. I do know the answer to the card question is a slim chance. I would bet money on that.

What I did was to take 720/3=240/2=120 to get tth's weight, then 120 x 2=
240 to get thoh's weight and last 120 x 3 to get marks weight. Will this apply to the same type of problems or was it just a coincidence?

What is the probability that Tryagain is even close to all our weights?

TTH:
Now that you know the metric system, it is time for your probability lesson. The probability of an event is the number of favorable outcomes divided by the number of possible outcomes. We need to know the number of 13-card hands with no card higher than a 10 and the total number of 13-card hands.

Assuming aces are low, the former is C(40,13) which is the number of combinations of 40 things (ace-ten in four suits) taken 13 at a time. The latter is C(52,13) which is the number of combinations of 52 things (the whole deck) taken 13 at a time. So, the answer to Try's question is C(40,13)/C(52,13).

What the hell is C(n,r) you might ask. Good question. It is n! / [(n-r)! * r!) where n! = 1 * 2 * 3 * 4 * ... * n.

So, the answer is 12033222880 / 635013559600 = 0.01895 which is slightly less than 2%. Anything less than 2% is considered slim, so you were right!!!

Must be those psychic powers. :wink:

Huh I swear you speak a different language. The car, love the color.