Answer: Mathematically Bayes’ theorem is defined as
P(A\B)=P(B\A) ×P(A)
P(B)
Bayes theorem is defined as where A and B are events, P(A|B) is the conditional probability that event A occurs given that event B has already occurred (P(B|A) has the same meaning but with the roles of A and B reversed) and P(A) and P(B) are the marginal probabilities of event A and event B occurring respectively.
Step-by-step explanation: for example, picking a card from a pack of traditional playing cards. There are 52 cards in the pack, 26 of them are red and 26 are black. What is the probability of the card being a 4 given that we know the card is red?
To convert this into the math symbols that we see above we can say that event A is the event that the card picked is a 4 and event B is the card being red. Hence, P(A|B) in the equation above is P(4|red) in our example, and this is what we want to calculate. We previously worked out that this probability is equal to 1/13 (there 26 red cards and 2 of those are 4's) but let’s calculate this using Bayes’ theorem.
We need to find the probabilities for the terms on the right-hand side. They are:
P(B|A) = P(red|4) = 1/2
P(A) = P(4) = 4/52 = 1/13
P(B) = P(red) = 1/2
When we substitute these numbers into the equation for Bayes’ theorem above we get 1/13, which is the answer that we were expecting.
A. Other crops: 35+25+20=80%
Beans: 100-80=20%
B. 300 acres×20%
=60 acres of cotton
C. Corn: 300×35%= 105 acres
Wheat: 300×25%= 75 acres
105-75= 30 more acres of corn than wheat
D. Yes, he is correct.
Corn fields+bean fields
35%+20%= 55%
Answer:
(x+4)^2 + (y-6)^2 = 29
Step-by-step explanation:
The center-radius form of the circle equation is in the format (x – h)^2 + (y – k)^2 = r^2, with the center being at the point (h, k)
Replacing the center C(-4,6):
(x+4)^2 + (y-6)^2 = r^2
then replacing the point (-3,1):
(-3+4)^2 + (1-6)^2 = r^2
1 + 25 = r^2
then the equation of the circle is:
(x+4)^2 + (y-6)^2 = 29
Aaaa i don’t think you picture matches the equation!
-13>-26,this is your answer
Hope this helps.
