Answer:
A.
Step-by-step explanation:
Given:
The equation of a line is given as:
The standard form of an equation of a line is of the form:
, where, A, B and C are constants.
Now, we have to rearrange the above equation in standard form.
Distribute 2 to . This gives,
Add 4 on both sides. This gives,
Now, add -2x on both sides. This gives,
Now, rearrange in standard form. This gives,
Therefore, the standard form is given as
Answer:
Given argument is valid
Step-by-step explanation:
In venn diagram
M=Mammals
R=Reptiles
G=Gators
Given that
No mammals are reptiles ,So in the diagram we indicates by cross sign(x).Also given that some reptiles are gators ,so venn diagram of reptiles and gators will cross each other.
But from the above statement we can say that those gators are reptiles can not be mammals but those are not reptiles they can be mammals.Hence some gators are not mammals.
So given argument is valid
Answer:
93.25% probability that they have taken this steroid
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test
Event B: Taking the steroid.
Suppose the probability of an athlete taking a certain illegal steroid is 10%.
This means that
Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.
This means that
Positive test:
99.5% of 10%(If the athlete has taken).
100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)
Then
Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
93.25% probability that they have taken this steroid