Answer:
8056 mm
Step-by-step explanation:
1 m=1000 mm
(8×1000)mm+56 mm
=8000 mm+56 mm
=8056 mm
Answer:
(a) The probability of more than one death in a corps in a year is 0.1252.
(b) The probability of no deaths in a corps over 7 years is 0.0130.
Step-by-step explanation:
Let <em>X</em> = number of soldiers killed by horse kicks in 1 year.
The random variable
.
The probability function of a Poisson distribution is:
![P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%5Cfrac%7Be%5E%7B-%5Clambda%7D%5Clambda%5E%7Bx%7D%7D%7Bx%21%7D%3B%5C%20x%3D0%2C1%2C2%2C...)
(a)
Compute the probability of more than one death in a corps in a year as follows:
P (X > 1) = 1 - P (X ≤ 1)
= 1 - P (X = 0) - P (X = 1)
![=1-\frac{e^{-0.62}(0.62)^{0}}{0!}-\frac{e^{-0.62}(0.62)^{1}}{1!}\\=1-0.54335-0.33144\\=0.12521\\\approx0.1252](https://tex.z-dn.net/?f=%3D1-%5Cfrac%7Be%5E%7B-0.62%7D%280.62%29%5E%7B0%7D%7D%7B0%21%7D-%5Cfrac%7Be%5E%7B-0.62%7D%280.62%29%5E%7B1%7D%7D%7B1%21%7D%5C%5C%3D1-0.54335-0.33144%5C%5C%3D0.12521%5C%5C%5Capprox0.1252)
Thus, the probability of more than one death in a corps in a year is 0.1252.
(b)
The average deaths over 7 year period is: ![\lambda=7\times0.62=4.34](https://tex.z-dn.net/?f=%5Clambda%3D7%5Ctimes0.62%3D4.34)
Compute the probability of no deaths in a corps over 7 years as follows:
![P(X=0)=\frac{e^{-4.34}(4.34)^{0}}{0!}=0.01304\approx0.0130](https://tex.z-dn.net/?f=P%28X%3D0%29%3D%5Cfrac%7Be%5E%7B-4.34%7D%284.34%29%5E%7B0%7D%7D%7B0%21%7D%3D0.01304%5Capprox0.0130)
Thus, the probability of no deaths in a corps over 7 years is 0.0130.
10,000$(1+0.055*8)
This is the formula of simple interest
10,000+10,000(0.055*t)
10,000$(1+0.055*8)=14,400
Answer:
yes it's true because 3 groups of 8 is 24
Answer:
D
Step-by-step explanation:
8 is LESS THAN 1/2x
so youd take those numbers and multiply by 1/2
C, B, and A are all under 8, so that would be wrong
when you multiply 1/2 with 17, you get 8.5 which is bigger than 8. then everything else above that is more than 8, therefore D is the right answer.