So, the total number of balls is 11. We want to pick 2 red balls and 1 green ball. WLOG (since order doesnt matter here), we can say he picks red, green, red. That means on his first pick, he has a
chance of picking the red ball, and he places it back in the bag. The probability of picking a green ball is
, and then he places the ball back in the bag. The probability of picking the last red ball is the same as the last red ball example, and we simply multiply the probabilities together as per the multiplication rule to get:

Now, without replacement the order does matter. He picks a red ball, a red ball then a green ball. The probability of picking the first red ball is
, and the probability of picking the second red ball is
and the probability of picking the green ball is
. We want to multiply thm again, as per the multiplication rule like the last problem.

Answer: Null hypothesis : 
Alternative hypothesis : 
Step-by-step explanation:
Let
be the proportion of women using supplements and
be the proportion of women who did not to have died during that period .
Then the set of hypothesis for testing if the proportion of women elderly women who use dietary supplements is different than those who do not will be :-
Null hypothesis :
[∵ it takes equality sign]
Alternative hypothesis :
[∵ it takes ≠ sign to show difference]
Answer:
C) 6 feet
Step-by-step explanation:
The diagram is shown in the attachment.
Using the Pythagoras Theorem,



We take positive square root to obtain


x=5.66ft
Rounding to the nearest feet we have x=6ft
Answer:
Complementary: (2,3) & (1,9)
Supplementary: (6,7) & (5,8)
Step-by-step explanation:
I would say B because it only makes since, colleges are looking for whats better in students and you will also work in groups also. So i would go with B :)