Independent:
Amount of packages bought
Pens per package
$ per package
Dependent:
Total amount of $
Answer:
A. ![\left[\begin{array}{cc}0.93&0.07&\\0.01&0.99&\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.93%260.07%26%5C%5C0.01%260.99%26%5Cend%7Barray%7D%5Cright%5D)
B. (0.85 0.15)
C. 79.2% population in the city while 20.8% population in the suburb
Step-by-step explanation:
(a) The transition matrix for the information is
C S
(b) the probability vector for the information is
and this gives us
(0.85 0.15)
(c) we simply multiply the above two matrices to find the percent of the population can be expected to be in each category after one year after
![\left[\begin{array}{cc}0.85&0.15\end{array}\right] \left[\begin{array}{cc}0.93&0.07&\\0.01&0.99&\end{array}\right] = \left[\begin{array}{cc}0.792&0.208&\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.85%260.15%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.93%260.07%26%5C%5C0.01%260.99%26%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0.792%260.208%26%5Cend%7Barray%7D%5Cright%5D)
in the city there are 79.2% while in the suburb, there are 20.8%
Answer:x=2, y=3
Step-by-step explanation:
solving this equation simultaneously
-9x - 2y=-12.............(1)
2x + 5y=-11.. ...........(2)
Using elimination method
Multiply equation 2 by 2 and equation 1 by 5
-45x -10y= -60...........(3)
4x + 10y=-22...............(4)
Subtracting equation 2 from 1
-41x + 0=-82
41x=82
x=82/41
X=2
To find y put x in equation 1
-9x - 2y= -12
-9(2)-2y=-12
-18-2y=-12
-2y=-12+18
-2y=6
Y= 6/2
Y=3
X=2, Y=3
Answer:
cost of 113 sodas =141.25
cost of 1 soda=141.25/113
=1.24
Answer:
48 cubic feet of mulch
Step-by-step explanation:
12 feet long x 4 feet wide x 1 foot deep of mulch= 48 cubic feet of mulch
