Answer:
P (T) = 1/4
P ( T | F ) = 1/2 = P(F)
The events are not independent.
Step-by-step explanation:
Let F the event of picking the white ball first
P (F)= 1/2 ( picking the white ball first)
Let T be the event of getting the white ball twice,
P (T) = P( getting white ball) * P( getting white ball)
=( 1/2)*(1/2)
= 1/4
Here P(T∩F) = P(T) because the probability of getting the white balls is the same as probability of getting the white ball first both the times.
P ( T | F ) = P (T∩F)/ P(F)
= (1/4)/ (1/2)
= (1/2)
= 1/2 = P(F)
For the events to be independent the conditional probability P ( T | F ) must be equal to P(T).
Hence the events are not independent.
Kristen drank 1/6 of the 24
so 24/6= 4
24 - 4= 20
There’s 20 left
Then 1/4 of 20 was consumed
So 20/4= 5
20 - 5= 15
There are 15 bottles left.
Answer: 125/27 as a decimal 4.62963
Step-by-step explanation:
((32)(5−2))−2(3(5−1))
((32)(5−2))−2(3(5−1))
Since BCDEF is regular, we know right away that

because the measures of all exterior angles of any regular polygon add to 360 degrees; they are all of equal measure here, so we divide 360 by 5.
For the pentagon BCIHG, the same is true, which means we have the equation

So

.
Answer:
(-2, 2)
Step-by-step explanation:
this is the point where y= -2x+1 meets y=2x+3