Answer:
0.0114
Step-by-step explanation:
(a) What is the probability of a fatal accident over a lifetime?
Suppose A be the event of a fatal accident occurring in a single trip.
Given that:
P(1 single auto trip in the United States result in a fatality) = P(A)
Then;
P(A) = 1/4011000
P(A) = 2.493 × 10⁻⁷
Now;
P(1 single auto trip in the United States NOT resulting in a fatality) is:
P(
) = 1 - P(A)
P(
) = 1 - 2.493 × 10⁻⁷
P(
) = 0.9999997507
However, P(fatal accident over a lifetime) = P(at least 1 fatal accident in lifetime i.e. 46000 trips)
= 1 - P(NO fatal accidents in 46000 trips)
Similarly,
P(No fatal accidents over a lifetime) = P(No fatal accident in the 46000 trips) = P(No fatality on the 1st trip and No fatality on the 2nd trip ... and no fatality on the 45999 trip and no fatality on the 46000 trip)
= ![[P(\overline A)] ^{46000} \ \ \ (since \ trips \ are \ independent \ events)](https://tex.z-dn.net/?f=%5BP%28%5Coverline%20A%29%5D%20%5E%7B46000%7D%20%20%5C%20%5C%20%5C%20%20%28since%20%5C%20%20trips%20%5C%20are%20%5C%20independent%20%5C%20events%29)
= ![[0.9999997507]^{46000}](https://tex.z-dn.net/?f=%5B0.9999997507%5D%5E%7B46000%7D)
= 0.9885977032
Finally;
P(fatal accident over a lifetime) = 1 - 0.9885977032
P(fatal accident over a lifetime) = 0.0114022968
P(fatal accident over a lifetime) ≅ 0.0114
Answer:150
Step-by-step explanation:
So every year the interest will be $1000 * 5 / 100 = $50. That is, after 3 years 3 * $50 = $ 150. Simple interest does not take into account the reduction of the principal but calculates the interest over the same initial amount, in this case $1000. So, the answer is $150, which is the result of $50 times 3.
Answer: 8
Step-by-step explanation:
We only need to take 672/84 = 8
So there are 8
If you can please give me a Brainliest, I only need 1 more to become an Ace, thank you!
Y = mx + b
Where m is the slope and b is the y-intercept
As you can already see it passes through the origin so b (the y-intercept) is (x, 0)
And the slope were it’s rise/run so it goes up 2.5 units and to the right 1 unit so it’s 2.5/1 = 2.5
m = 2.5