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:
(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)
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: 
Compute the probability of no deaths in a corps over 7 years as follows:
Thus, the probability of no deaths in a corps over 7 years is 0.0130.
Answer:
The scale factor is
Is a reduction
Step-by-step explanation:
we know that
The scale factor is the ratio of the corresponding side of resulting triangle by the corresponding side of the first triangle
Let
z-----> the scale factor
x------> the corresponding side of resulting triangle
y------> the corresponding side of the first triangle
so
In this problem we have
substitute
The scale factor is less than one
therefore
Is a reduction
Answer:
x-5=20
x=20+5 (When bringing -5 to the other side of the equal, it changes to +5)
x=25
ANSWER
9.5
EXPLANATION
To find the distance between home and work, we have to use the formula:
![D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
We have that home is at point (3, -3) and work is at point (0, 6).
Therefore:
(x1, y1) = (3, -3)
(x2, y2) = (0, 6)
Therefore, we have that:
![\begin{gathered} D\text{ = }\sqrt[]{(0-3)^2+(6-(-3))^2} \\ D\text{ = }\sqrt[]{(-3)^2+(6+3)^2}\text{ = }\sqrt[]{(-3)^2+(9)^2} \\ D\text{ = }\sqrt[]{9\text{ + 81}}\text{ = }\sqrt[]{90} \\ D\text{ = 9.5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%280-3%29%5E2%2B%286-%28-3%29%29%5E2%7D%20%5C%5C%20D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%28-3%29%5E2%2B%286%2B3%29%5E2%7D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B%28-3%29%5E2%2B%289%29%5E2%7D%20%5C%5C%20D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B9%5Ctext%7B%20%2B%2081%7D%7D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B90%7D%20%5C%5C%20D%5Ctext%7B%20%3D%209.5%7D%20%5Cend%7Bgathered%7D)
The answer is 9.5
Answer:
17x+4
Step-by-step explanation:
Just Multiply the Expression:
15x+6+2x-2
17x+4
