Answer:
Step-by-step explanation:
Here is an illustration of the problem:
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A t J
Alex and Jo start from their separate homes and drive towards one another. The t indicates the time at which they meet, which is the same time for both. Filling in a d = rt table:
d = r x t
Alex 14 t
Jo 6 t
The formula for motion is d = rt, so that means that Alex's distance is 14t and Jo's distance is 6t.
14t 6t
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A t J
The distance between them is 5 miles, so that means that Alex's distance plus Jo's distance equals 5 miles. In equation form:
14t + 6t = 5 and
20t = 5 so
t = .25 hours or 15 minutes.
If they leave their homes at 3 and they meet 15 minutes later, then they meet at 3:15.
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:
false, true, false
Step-by-step explanation:
