Step-by-step explanation:
In a standard deck of 52 cards, there are 2 red aces, 2 red Queens, and 13 spades. That leaves 35 cards for everything else.
For the game to be fair, the cost must equal the expected value. The expected value is the sum of each outcome times its probability.
C = (12) (13/52) + (20) (2/52) + (38) (2/52) + (0) (35/52)
C = 68/13
C ≈ 5.2308
Taylor series of a function g(x) that can be differentiated indefinitely at "a" (a=complex or real number) is given by:
pn(a) = g(a)+g'(a)(x-a)/1! +g''(a)(x-a)^2/2! + g'''(a)(x-a)^3/3! + g''''(a)(x-a)^4/4! + ...
Where n= 0,1,2,3,4, ... respectively = degrees of the polynomial series
In the current task,
n=2, a=7
Substituting;
p2(x) = g(7)+g'(7)(x-7)+g''(7)(x-7)^2/2! = 4+(-1)(x-7)+(1)(x-7)^2/2!
= 4-(x-7)+1/2(x-7)^2
Solve for either x or y
since they give you a y equation, you should find the x equation.
x - 1/3y = -3
move the -1/3y to the right and it'll be a positive
×= 1/3y-3
now plug in the x to the y equation or vise versa
I'm going to plug in the x into the y to make things faster and less complicated.
y= (x3-9)
y= (1/3^3 -9)
y= 1/27 -9
y= 9.03703
now plug in the y to the x equation.
x= 1/3y-3
x=1/3 (9.037) - 3
x= .01234
I'll round it to the hundredths place
(0.012, 9.04)
Answer:
a) $168,760
b) $119,275
Step-by-step explanation:
For this, I believe you do $288,035 - $49,485. This equals $238,550.
Then divide this by 2 to get the salary for state B, which is $119,275 .
$168,760 remains, so it's the salary for state A.