Answer:
If she uses the Laplace criterion, the number of new examiners she will decide to hire is:
c. three
Step-by-step explanation:
a) Data:
Number of Compliance
examiners Low Normal High
One 50 50 50
Two 100 60 20
Three 150 70 -10
b) Outcome Calculations:
Number of Compliance
examiners Low Normal High
One 16.65 (50 *.333) 16.65 (50 *.333) 16.65 (50 *.333) = 50
Two 33.3 (100 *.333) 19.98 (60 *.333) 6.66 (20 *.333) = 60
Three 49.95 (150 *.333) 23.31 (70 *.333) -3.33 (-10 *.333) = 70
c) Decision:
Three has the highest payoff condition and is selected.
d) The Laplace criterion assumes that each compliance state is equally likely to happen. Therefore, it assigns the same weight to each state of compliance. Since there are three states of compliance, we shall assign each state a weight of 0.333. The number of examiners that have the highest payoff condition is three, and therefore, the number "three" is selected.
Answer:
-24
Step-by-step explanation:
Given expression:
3z (2y - 4)²
z = -2 and y = 3
To solve this problem, simply substitute:
3z (2y - 4)² = 3(-2){2(3) - 4}²
= -6(6-4)²
= -6 (2)²
= -6 x 4
= -24
The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.
TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.
17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17
For some reason, this does not give a correct value for Y, so I had to use trig
TO FIND Y
Notice that the angle DAB is the same as DBC (lets call this angle Ø)
Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.
We can now form some equations:
cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15
X=64/15 Y=136/15
C. The Tetrahhedron has 4 faces, all of which are triangles. It also has four vertices and six edges.
