Answer: 493,700,000
Step-by-step explanation:
Answer:
4x² / 4x² = 1
Step-by-step explanation:
Anything divided by itself is always 1
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.
Adults = x
Senior Citizens = y
x + y = 529......1
25x + 15y = 9745...2
Multiply (1) by 15
15x + 15y = 7935....3
25x + 15y = 9745....2
Subtract 3 from 2
10x = 1810
x = 181
Substitute x = 181 in
Eq (1)
x + y = 529
181 + y = 529
y = 529 - 181
y = 348
181 adults and 348 Senior Citizens
Hope this helps.
