He has to drive around the track about 1.5 times.
We first find the circumference:
C = 2πr = 2(3.14)(1.6) = 10.048
We now divide 15 by this:
15/10.048 ≈ 1.5
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.
The linear equation that represent the situation is 3b - 6 = 45.
The value of b is 17.
<h3>How to represent a linear equation?</h3>
The situation forms a linear equation. Therefore,
y = mx + b
where
Therefore, let's model the equation linearly,
where
- b = number of books bought
She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.
Therefore, the equation is as follows
3b - 6 = 45
The value of b is as follows;
3b - 6 = 45
3b = 45 + 6
3b = 51
b = 51 / 3
b = 17
learn more on linear equation here: brainly.com/question/11897796
#SPJ1
Answer:
(x+4)(x+1)(2x-1)
Step-by-step explanation:
factors should have minus sign
so
(x+4)(x+1)(2x-1)
If 
and 
, then you can replace 
in either equation with the equivalent expression given by the other equation. In this case, you have
and you can solve for 
.
Then 
.
For the second system, you can write
Then substitute this into the second equation and you get
so that
