<span>Naming of rays
Rays are commonly named in two ways:
By two points.
In the figure at the top of the page, the ray would be called AB because starts at point A and passes through B on it's way to infinity. Recall that points are usually labelled with single upper-case (capital) letters. There is a symbol for this which looks like this: AB This is read as "ray AB". The arrow over the two letters indicates it is a ray, and the arrow direction indicates that A is the point where the ray starts.
By a single letter. (I have not seen this done.)
The ray above would be called simply "q". By convention, this is usually a single lower case (small) letter. This is normally used when the ray does not pass through another labeled point.</span>
<h2>
Hello!</h2>
The answer is:
The distance to over by Adam to get to the park is 108 miles.
<h2>
Why?</h2>
To solve the problem, we need to write two equations using he given information about the times and his speed.
So,
For the first equation we have: Travel to Disney Park
For the second equation we have: Travel back from Disnery Park
Then, if Adam covered the same distance going and coming back, we have:
We have that the speed when he was going to Disney Park was 27 mph.
Now, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.
Therefore, substituting the speed into the second equation, we have:
Hence, we have that the distance that Adam should cover to get to the park is 108 miles.
Havea nice day!
Answer:
P = 0.4812
Step-by-step explanation:
First, we need to use here two expressions and then do the calculations.
The first one is the conditional probability which is:
P(B|A) = P(A∩B)/P(A) (1)
The second expression to use has relation with the Bayes's theorem which is the following:
P(D|C) = P(C|D)*P(D) / P(C|D)*P(D) + P(C|d)*P(d) (2)
Now, the expression (2) is the one that we will use to calculate the probability of a selected random bicyclist who tests positive for steroids.
So, in this case, we will call C for positive and D that is using steroids and d is the opposite of d, which means do not use steroids.
Then, the probabilities are the following:
P(D) = 8% or 0.08
P(C|D) = 96% or 0.96
P(C|d) = 9% or 0.09
P(d) = 1 - 0.08 = 0.92
With these data, let's replace in expression 2
P(D|C) = 0.96 * 0.08 /0.96 * 0.08 + 0.09*0.92
P(D|C) = 0.0768 / 0.1596
P(D|C) = 0.4812 or 48.12%
Answer:
0.25
Step-by-step explanation:
Answer:
32 minutes
Step-by-step explanation:
44-12=32
