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
Answer:
Step-by-step explanation:
The key to solving this question is to find the distance bwtween the two points given
distance=y2-y1/x2-x1
(2,4)(4,8)
2=x1,4=y1
4=x2
8=y2
8-4/4-2
4/2=2
The depth of the water is increasing by 2 ft each minute
The complete question in the attached figure
we know that
angle y and angle (5y-18) are supplementary angles
then
y°+(5y-18)°=180°------> 6y=180+18------> y=198/6-----> y=33°
and
angle x and angle y are also supplementary angles
then
x+y=180--------> x=180-y-----> x=180-33-----> x=147°
the answer is
x=147°
y=33°
Answer:
40.1%
Step-by-step explanation:
I am assuming that 192 is in 100%.
100% = 192
I then represent the value that we are looking for with
.
x% = 77
By dividing both equations (100% = 192 and x% = 77) and remembering that both left hand sides of BOTH equations have the percentage unit (%).

Now, of course, we take the reciprocal, or inverse, of both sides:

x = 40.1%
Thus making the answer: 40.1% of 192 is 77.