Answer:
a) 360 mice
b) 364 mice
Step-by-step explanation:
Assume :
A = number of infected mice , B = number of non-infected mice
P( infected mice overcoming infection ) = 70% = 0.7
P ( Infected mice not overcoming infection ) = 1 - 0.7 = 0.3
P( mice becoming infected ) = 40% = 0.4
P ( mice not becoming infected ) = 1 - 0.4 = 0.6
Number of infected mice = 400
Number of non-infected mice = 1000 - 400 = 600
step 1 ; express the probabilities in matrix form
![P = \left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right]](https://tex.z-dn.net/?f=P%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0.3%260.4%26%5C%5C0.7%260.6%26%5C%5C%5Cend%7Barray%7D%5Cright%5D)
![X = \left[\begin{array}{ccc}400\\600\\\end{array}\right]](https://tex.z-dn.net/?f=X%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D400%5C%5C600%5C%5C%5Cend%7Barray%7D%5Cright%5D)
step 2 : multiply the matrix above to determine the number of mice that will be infected
<u>a) For next week </u>
PX =
<em>i.e. 360 mice will get infected next week </em>
next 2 week = P ( PX )
=
*
= ![\left[\begin{array}{ccc}364\\636\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D364%5C%5C636%5C%5C%5Cend%7Barray%7D%5Cright%5D)
<u>b) In 3 weeks time </u>
P ( P(PX) =
*
= ![\left[\begin{array}{ccc}363.6\\636.4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D363.6%5C%5C636.4%5C%5C%5Cend%7Barray%7D%5Cright%5D)
i.e. 364 mice will get infected in 3 weeks time
C. Its acceleration is zero.
Step-by-step explanation:
Velocity is defined as the change in distance over time;
d₂- d₁ / t whereby;
d₂ – final distance
d₁ - initial distance
t - time
Acceleration, on the other hand, is the change in velocity over time;
Δv / t whereby;
v – velocity
t – time
When velocity is constant, change in velocity (Δv) is zero (0).
Therefore for acceleration to be zero (0), change in velocity has to be zero because;
Only when a = 0/t is zero (0)
Learn More:
brainly.com/question/1192983
#LearnWithBrainly
Answer:
C. 3x + 5
Step-by-step explanation:
Go to m a t h w a y . c o m (with no spaces, wont let me post without) trust me, this will save u in math
11,897 hopefully this helps! i just started back up with doing these again!
The answer is 64 (units). :D