Answer:
The <em>required probability</em> is 
.
Step-by-step explanation:
Let <em>A </em>be the event of rolling the number cube.
Let <em>B</em> be the event of tossing the coin.
Total number of possibilities of rolling the number cube and tossing the coin are <em>12 </em>here.
where <em>H</em> means Head on toss of coin and <em>T</em> means Tails on toss of coin.
Formula for probability of an event <em>E</em> is:
Here, we have to find the probability of event 'E' i.e. getting a 6 on number cube and heads on coin.
Number of favorable cases are <em>1 </em>and total cases are <em>12</em>.
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:
Answer:
<h2>S = 9/20</h2><h2>J = 113/50</h2>
Step-by-step explanation:
Answer:
f(g(2)) = 102
Step-by-step explanation:
f(x) and f(g(2))
As we can see, we can find g(2) and substitute this value into
f(x)=x² + 2x + 3 instead of x.
g(x) = x² + 5, g(2) = 2² + 5 = 9
f(x)=x² + 2x + 3
f(9)=9² + 2*9 + 3= 102
Answer:
<h2>x = 3.499 in</h2>
Step-by-step explanation:
In a kite, the diagonals are perpendicular. Hence 
is a right angled triangle.
From Pythagoras theorem, since is a right angled triangle, 
.
Area of = 
From diagram 
∴ 
