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:
Find the answers in the explanation
Step-by-step explanation:
The given function is
f(x)=475-15x
A.) To find f^-1 and explain what it represents in this situacions, let f(x) = y. That is,
Y = 475 - 15x
Interchange y and x and make y the subject of formula
X = 475 - 15y
-15y = x - 475
Y = 475/15 - x/15
Y = (475 - x) / 15
Therefore,
f^-1(x) = (475 - x) / 15
If the function depreciates the smartphone, then, the inverse function will appreciate it.
When will the deprecated value of smart phone be less than $100.00
Substitute 100 for f(x) and find x
100 = 475 - 15x
-15x = 100 - 475
-15x = - 375
X = 375/15
X = 25
Therefore, the deprecated value of smart phone be less than $100.00 in the next 26 months.
what does x represent in f^-1(x) =30?
X represent the number of months for the smartphone appreciations
What is the value of x?
Substitute the inverse function for 30 and make x the subject of formula in the equation
f^-1(x) = (475 - x) / 15
30 = (475 - x) / 15
Cross multiply
450 = 475 - x
X = 475 - 450
X = 25 months
Graph f(x) and f^-1 (x) on the same coordinate
Answer:
-8/3
Step-by-step explanation:
First find the slope of the line
3x+y = 1
Solve for y
y = -3x+1
This is in slope intercept form
y = mx+b where m is the slope
The slope is -3
The slopes of perpendicular lines multiply to -1
m* -3 = -1
m = 1/3
The line perpendicular has a slope of 1 / (3) = 1/3
The sum is -3 + 1/3
-9/2 + 1/3 = -8/3
