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
The correct answer is B
325-45=280
8x35=280
Cross multiply
3(2x + 1) = 5(2x - 5)
expand by using distributive property
6x + 3 = 10x - 25
-4x = - 28
x = 7
Answer:
the equation of the line is 7x + y = 0 .
Step-by-step explanation:
in the standard form of the line that is Ax +By = C we can write it in the form of
By = C - Ax
which is in the form of
where m is the slope of the line and c is y intercept made by the line.
comparing and
we get that and
since it is given that slope of the line is -7 therefore m = -7 and c = 0
therefore and
therefore C = 0 , A = 7 and B = 1
therefore the equation becomes 7x + y = 0
The first step for solving this inequality is to move the constant to the right side by adding its opposites to both sides. This will look like the following:
y - 6 + 6 ≥ 12 + 6
Eliminate the opposites on the left side.
y ≥ 12 + 6
Lastly,, add the numbers on the right side together to get your final answer.
y ≥ 18
Let me know if you have any further questions.
:)