Total people x,
then, 3.5x + 5.5x + 6 = 51
simplify, 9x +6 = 51
subtract 6 on both sides, 9x= 45
divide by 9 on both sides, x= 5
therefore, total 5 people in the family.
Simplest Form: log2 (x/9)
Well I don't know !
Let's take a look and see:
The idea is that there could be more than one way
for a roll of the dice to land with the same number.
-- If the sum is from 1-4, you get the point.
There are 6 different ways for a roll of the dice to come up 1-4.
-- If the sum is from 5-8, Adam gets the point.
There are 20 different ways for a roll of the dice to come up 5-8.
-- If the sum is 9-12, Lana gets the point.
There are 10 different ways for a roll of the dice to come up 9-12.
-- The game is not fair to all three of you.
-- Lana has a distinct advantage over you.
-- Adam has a big advantage over Lana.
-- Adam has an even bigger advantage over you.
-- You are at a big disadvantage. (Notice that one of your
numbers ... 1 ... can never come up unless one of the dice
falls off of the table.)
_______________________________
Here's how to figure it:
Ways to roll a 2:
1 ... 1
Ways to roll a 3:
1 ... 2
2 ... 1
Ways to roll a 4:
1 ... 3
2 ... 2
3 ... 1
Ways to roll a 5:
1 ... 4
2 ... 3
3 ... 2
4 ... 1
Ways to roll a 6:
1 ... 5
2 ... 4
3 ... 3
4 ... 2
5 ... 1
Ways to roll a 7:
1 ... 6
2 ... 5
3 ... 4
4 ... 3
5 ... 2
6 ... 1
Ways to roll an 8:
2 ... 6
3 ... 5
4 ... 4
5 ... 3
6 ... 2
Ways to roll a 9:
3 ... 6
4 ... 5
5 ... 4
6 ... 3
Ways to roll a 10:
4 ... 6
5 ... 5
6 ... 4
Ways to roll 11:
5 ... 6
6 ... 5
Ways to roll 12:
6 ... 6
If the legs are legnth x, then the hyptonuse is x√2
x√2=7
divide both sides by √2
x=7/√2
times (√2)/(√2)
(7√2)/2
3.5√2
aprox 4.94974
round
4.95
Answer:
There are 21 ways to choose the first person, 20 ways to choose the second, 19 ways for the third and 18 ways for the fourth so the answer is 21 * 20 * 19 * 18 = 143640.