Answer:
P=0.228
Step-by-step explanation:
We know that from a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of size six is to be selected.
Therefore, we have 34 people.
We calculate the number of possible combinations:
Of the 6 professors we choose 2, and of the other 28 people we choose 4.
We calculate the number of favorable combinations:
Therefore, the probability is:
-6.2 plus -4.8 is -11. add the 3.8 to get -7.2
-4.8 plus 3.8 is -1
-1 plus -6.2 is -7.2
-7.2=-7.2
1) It's best to draw out a picture of a rectangle and label each corner with the coordinates given: Let's say (-5, 2) is point A, (-5, -2 1/3) is point B, (2 1/2, 2) is point C, and (2 1/2, -2 1/3) is point D.
2) That being said, line AB is one side of the rectangle, BC is another, CD is another, and lastly, AD is the fourth side.
3) We can use the distance formula and plug in the coordinates of each line to find how long every side is. Then you just need to solve it.
For example: if I want to find how long side AB is, I would use the point A (-5, 2) and B (2 1/2, 2) and plug them into the distance formula, where (-5, 2) is (x1, x2) and (2 1/2, 2) is (x2, y2) and solve that.
4) Repeat this process with side BC, CD, and AD, and add the results together. This will be your final answer; the perimeter of the rectangle.
