Solve for each variable in the equations that follow 3x+y=25
2 answers:
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Answer:
The solution of the system is at point (1,6) and (7,0).
Step-by-step explanation:
Given : System of equation and
To find : Solve the system of equation?
Solution :
We solve the equation graphically as the intersection points give you the solution of the system.
The equation given is one linear and one parabolic.
(1) is a linear equation in red line passes through (0,7) and (7,0).
(2) is a parabolic equation in blue line passes through (-1,0) and (7,0)
The intersection point of the equations are (1,6) and (7,0).
<u>Refer the attached figure below.</u>
Therefore, The solution of the system is at point (1,6) and (7,0).
Answer:
The answers are;
a. The probability of more than one death in a corps in a year is 0.12521.
b. The probability of no deaths in a corps over five years is 4.736 × 10⁻².
Step-by-step explanation:
For Poisson Distribution we have
Pₓ(k) =
Where:
λ = Mean per unit time
k = Specified data point
t = time
e = Euler constant
a. The probability of more than one death in a corps in a year is given by
The mean of the Poisson distribution for one year is given as
λ·t = 0.61 × 1 = 0.61
Therefore by using complement principle, we have
P (X >1) = 1 - P(X = 0) - - P(X = 1)
=1- -
= 1 - 0.543 - 0.3314
= 0.12521
b. Here we have t = 5
Therefore the mean = λ·t = 0.61×5 = 3.05
The probability of there being no deaths in a corps for over five years is
P (X =0) = = 4.736 × 10⁻²
The probability is 4.736 × 10⁻² .