I will be including both an basic explanation of what it is and its proof.
I'm guessing you are either learning about conditional probability at school or preparing for competitions.
Baye's theorem states:
That is the theorem itself and it means that the probability that event A happens given B is true equals the probability event B happens given A is true times the probability event A happens divided by the probability B happens.
That was the basic of the theorem and the proof of this is basically just testing how well you understand what conditional probability is.
Now we know that the probably that A and B both happens is the same as the probably that B and A both happens.
Therefore P(A|B) can be seen as P(B|A) multiplied by P(A) and then divided by P(B) which gives the right hand side of the first equation. And this is basically the theorem.
**Note P(B) have to be not equal to 0 because having a 0 in the denominator would make this equation undefined.
If you have any questions or need further explanations please ask me in the comments of the answer, I hope this helped!
Answer:
49.5 mi
Step-by-step explanation:
Area of a triangle is A = (height) X (base) / 2
So if you plug in the numbers you get:
806.9 = (32.6) X (base) / 2
1613.8 = (32.6) X (base)
1613.8 / 32.6 = base
base = 49.5 mi
Answer:
19.9 miles
Step-by-step explanation:
In this problem we have:
is the distance travelled during the 1st day
is the distance travelled during the 2nd day
is the distance travelled during the 3rd day
is the distance travelled during the 4th day
We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:
Which can be rewritten using the general formula:
This means that
By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:
So, the distance travelled on the 7th day is 19.9 miles.
The values of a and b are 4 and -3
<h3>How to solve for (a) and (b)?</h3>
To solve for a, we make use of the function f(x).
x f(x)
2 4
0 5
2 a
3 7
Remove the x values 0 and 3
x f(x)
2 4
2 a
The above table implies that:
f(2) = 4 and f(2) = a
Substitute 4 for f(2) in f(2) = a
4 = a
Rewrite as:
a = 4
To solve for b, we make use of the function g(x).
x g(x)
2 b
0 0
2 -3
3 -4
Remove the x values 0 and 3
x g(x)
2 b
2 -3
The above table implies that:
f(2) = b and f(2) = -3
Substitute -3 for f(2) in f(2) = b
-3 = b
Rewrite as:
b = -3
Hence, the values of a and b are 4 and -3
Read more about functions at:
brainly.com/question/13153717
#SPJ1
<u>Complete question</u>
Use the Symmetry of a Function to Find Coordinates
f is an even function g is an odd function
x f(x) x g(x)
2 4 2 b
0 5 0 0
2 a 2 -3
3 7 3 -4
Find a and b
