Answer:
1/27
Step-by-step explanation:
The chance of getting X is ⅓. The chance of getting X then Y is ⅓², or ⅑. Finally, the chance of getting X, then Y, then Z is ⅓³, or 1/27
The subtraction sign in front of the second set of parenthesis changes the signs on the terms inside those parenthesis. So this could be rewritten as
. None of the exponents on the x are the same, so we will just express it in terms of descending powers of x.
. This is also the same as
if you don't like to start with a negative. Either one is correct.
Answer:
It takes 30 minutes
Step By Step:
The rate of Glenn in finishing a job would be equivalent to:
Rate (G) = 1
job / 20 minutes
While the rate of Veronika is:
Rate (V) = 1
job / x---> x is the unknown
Where 1 job for Glenn means completely cleaning his room while 1 job for Veronika means pulling out everything. Therefore the equation to use would be:
1 / 20 – 1 /
x = 1 / 60
The rate of
Veronika is subtracted from the rate of Glenn since Veronika is slowing Glenn
down. Solving for x:
Multiply both
sides by 60 x
(1 / 20 – 1 /
x = 1 / 60) * 60 x
3 x – 60 = x
2 x = 60
x = 30
Therefore it
takes 30 minutes for Veronika to pull everything out.
Answer:
! means factorial . For example 3! (factorial 3) = 3*2*1 = 6
Answer to 14C3 is 364
Step-by-step explanation:
14! = 14*13*12*11*10*9*8*7*6*5*4*3*2*1
14C3 = 14*13*12*11*10*9*8*7*6*5*4*3*2*1 / 3*2*1 * 11*10*9*8*7*6*5*4*3*2*1
= (14*13*12) / 3*2*1
= 14*13*2
= 364
