Answer:
Probability of more than 1 death in a corps in a year
12.52%
Probability of no deaths in a corps over 7 years
1.40%
Step-by-step explanation:
If the data collected follow a Poisson distribution with mean 0.61, then
Probability of k deaths in a year is
The probability of more than 1 death in a corps in a year would be
(1)
But the Taylor series around 0 for the exponential function is
So,
and
Replacing in (1), we obtain
or 12.52%
b)
The probability of 0 deaths in one year is
As the events are independent, the probability of 0 deaths over 7 years is the product of P(0) by itself 7 times:
or 1.40%
Answer:
θ ≈ 40°
Step-by-step explanation:
Since, sinθ = ![\frac{\text{Opposite side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
cosθ = ![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAdjacent%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
tanθ = ![\frac{\text{Opposite side}}{\text{Adjacent side}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BAdjacent%20side%7D%7D)
In the picture attached,
Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.
tanθ = ![\frac{19}{23}](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B23%7D)
θ = ![\text{tan}^{-1}(\frac{19}{23})](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%5E%7B-1%7D%28%5Cfrac%7B19%7D%7B23%7D%29)
θ = 39.56
θ ≈ 40°
Step-by-step explanation:
everything can be found in the picture
Answer:
x=-2
Step-by-step explanation: