Answer: 0.51
Step-by-step explanation:
This is a conditional probability. The first event is the airplane accident being caused by structural failure. The probability of it being due to structural failure is 0.3 and the probability of it not being due to structural failure is 0.7. The second event involves the diagnosis of the event. If a plane fails due to structural failure, the probability that it will be diagnosed and the results will say it was due to structural failure is 0.85, and the probability that the diagnosis is unable to identify that it was because of a structural failure is 0.15. If the plane were to fail as a result of some other reason aside structural failure, the probability that the diagnosis will show that it was as a result of structural failure is 0.35 and the probability of the diagnosis showing that is is not as a result of structural failure is 0.65. To find the probability that an airplane failed due to structural failure given that it was diagnosed that it failed due to some malfunction, this is the equation;
p = (probability of plane failing and diagnosis reporting that the failure was due to structural failure)/ (probability of diagnosis reporting that failure was due to structural failure)
p = (0.3*0.85)/((0.3*0.85) + (0.7*0.35))
p = 0.51
A negative slope means the line would be going downward, so you would go down first (instead of up as with a positive slope), then over right.
Therefore, you would go down 4 (or negative 4 considering you are going down) and right 1.
Rise over run still applies here. Rise over run is a fancy way of saying to put the number (or slope) in fraction form.
-4 as a fraction would be -4/1.
So start at (5,3), go down 4 and over 1, repeatedly and you got it.
**Just remember the rise over run can be confusing with negative slopes.**
The sum must be irrational in contradiction to it being rational
The answer to that question is b
Answer:
x=-5
Step-by-step explanation:
70=7x-7(2x-5)
70=7x-14x+35
70-35=-7x
35=-7x
5=-x
-5=x
