30) 30) At a liberal arts college, students are classified as humanities or science majors. There is a probability of 0.9 that a humanities major will change to science and of 0.2 that a science major will change to humanities. What are the long-term predictions for each major

hence the long-term prediction for each major ; [ 1 , 1 ]

Step-by-step explanation:

Probability of A humanities major changes to Science = 0.9

P( science major changes to humanities ) = 0.2

Determine the long term predictions for each Major

The Transition matrix can be written as

Find the equilibrium matrix p' of the Transition matrix above by finding the values of p, p^2 , p^3 ......... until any row of the resultant matrix

The eigen ( equilibrium ) vectors of the matrix

hence the long-term prediction for each major ; [ 1 , 1 ]

answer: 230 miles ( vote ! )

step-by-step explanation:

180.39 minus 17.99 equals 162.4

then divide 162.4 by .80 to get 230

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.