That would be true because of momentum but the seat belt would slow this you would still hit the dash or a steering wheel's air bag system if it is equipped with one
The probability that detector B goes off is 0.75
The probability of an event is known to be the likelihood or chance for an event to occur.
From the given information let consider:
- A = the time when detector A goes off, and
- B = the time when detector B goes off
Since one or both of them always goes off, then:
∴
Their complements will be zero, i.e.
Similarly, we are given that:
Then;
∴
The set probability for A will be:
P(A) = 1 - P(A')
P(A) = 1 - 0.35
P(A) = 0.65
Finally, the probability that detector B goes off can be computed as:
P(B) = P(A) P(B|A) +P(A') P(B|A')
P(B) = P(A) (1 - P(B|A')) + P(A') (1 - P(B'|A')
![\mathbf{P(B) = P(A) (1-\dfrac{P(A \ and \ B')}{P(A)}) +P(A') (1 - \dfrac{P(A' \ and B')}{P(A')})}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%28B%29%20%3D%20P%28A%29%20%281-%5Cdfrac%7BP%28A%20%5C%20and%20%5C%20B%27%29%7D%7BP%28A%29%7D%29%20%2BP%28A%27%29%20%281%20-%20%5Cdfrac%7BP%28A%27%20%5C%20and%20B%27%29%7D%7BP%28A%27%29%7D%29%7D)
![\mathbf{P(B) = 0.65 (1-\dfrac{0.25}{0.65}) +0.35 (1 - \dfrac{0}{0.35})}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%28B%29%20%3D%200.65%20%281-%5Cdfrac%7B0.25%7D%7B0.65%7D%29%20%2B0.35%20%281%20-%20%5Cdfrac%7B0%7D%7B0.35%7D%29%7D)
P(B) = 0.75
Learn more about the probability of an event here:
brainly.com/question/25839839
The maximum score is 2400. It was originally 1600, but in 2005, the College Board added a new test with three sections instead of just Math and Reading.
I hope this helps! ~Mia
What event affected the outcome of the 1860 presidential election? Douglas's record on popular sovereignty won him the Democratic nomination but split the Democratic Part in two. The position Douglas had taken on slavery in his 1858 debates with Lincoln turned Southern voters against him in the 1860 election. Hope this helps