Kate is 4 years older than her sister. The sum of their ages is 16. How old is Kate?
2 answers:
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Answer:
P = 0.008908
Step-by-step explanation:
The complete question is:
The table below describes the smoking habits of a group of asthma sufferers
Nonsmokers Light Smoker Heavy smoker Total
Men 303 35 37 375
Women 413 31 45 489
Total 716 66 82 864
If two different people are randomly selected from the 864 subjects, find the probability that they are both heavy smokers.
The number of ways in which we can select x subjects from a group of n subject is given by the combination and it is calculated as:
Now, there are 82C2 ways to select subjects that are both heavy smokers. Because we are going to select 2 subjects from a group of 82 heavy smokers. So, it is calculated as:
At the same way, there are 864C2 ways to select 2 different people from the 864 subjects. It is equal to:
Then, the probability P that two different people from the 864 subjects are both heavy smokers is:
we can use properties of functions to find this out
for
if b is even, then the ends of the function go in the same directions (both up or both down)
if b is odd, then the ends of the function go in different directions (one up and one down)
if a is positive and b is even, then both ends point up
if a is positve and b is odd, then it goes from bottom left to top right
if a is negative and b is even, then both ends point down
if a is negative and b is odd, then it goes from top left to bottom right
given
a=5>0
b=4 which is even
so it has both ends pointing up
bottom right graph is yo answer