CPhill

These are independent events...... previous outcomes have no effect on the next flip

The theoretical probability is : 

P(Heads on next flip)   =   1/2 =  50%

Not correct....this equation doubles the population EVERY year

The equation we need is

y = 4(2)^(x/2)

After 2 years the pop  is   4(2)^(2/2)   = 4(2)^1  = 4 * 2 =  8

After 4 years  ...   4(2)^(4/2)= 4(2)^2 =  4 * 4 = 16

After 6 years  .... 4(2)^(6/2)  =  4(2)^3= 4 * 8  = 32

You will do fine.....

That is cool.....!!!!!

From Louisiana

I'm part American....part Huck Finn....

CoolStuff is correct.....!!!

There are 11 machines available to Geoff

He can choose any  3

We are actually listing all the possible sets of any 3 of these machines

So

11Choose 3   =   11C3   =  165  different sets =  165 different combos

Man, I don't know....this seems pretty complete, to me....

I don't know what else they are looking for....

A sample space is just the listing of all possible outcomes

First Flip     Second Flip

   H                 T

   H                 H

   T                  H

   T                  T

Ok....we have this

924  =  4 ( x + 1) (x + 11)     divide both sides by 4

231  = (x + 1) (x + 11)      simplify

231 =   x^2 + 12x + 11     subtract  231 from both sides

x^2 + 12x - 220  = 0       factor as

(x + 22) ( x - 10) = 0

Set both factors to 0  and solve for x and we get that

x =  -22    (reject)     or    x  = 10  (accept)

Dimensions of cuboid  are

4, (10 +1), (10 + 11)  =

4, 11, 21