Step-by-step explanation:
Rate of change = final - initial / time(in years)
= 41 - 43 / 2014 - 2012
= - 2 / 2
<u>Rate of change</u> = <u>- 1</u>
Therefore, the number of employees with health care benefits reduced by 1 person per year between 2012 - 2014 in response to policy changes.
let the goldfish be x and the guppies be y
4x + 3y = 29...equ(1)
3x + 5y = 30...equ(2)
multiplying equation 1 by 5 and equation 2 by 3
20x + 15y = 145...equ(1)
9x + 15y = 90...equ(2)
subtracting equation 2 from 1
11x = 55
∴x = 5
substituting the value of x into equation
4(5) + 3y = 29
20 + 3y = 29
3y = 9
∴y =3
Answer:
P(N = n) =
Step-by-step explanation:
to find out
Find the PMF PN (n)
solution
PN (n)
here N is random variable
and n is the number of times
so here N random variable is denote by the same package that is N (P)
so here
probability of N is
P(N ) = Ф ( N = n) .................. 1
here n is = 1, 2,3, 4,...................... and so on
so that here P(N = n) will be
P(N = n) =
For systems of equations try using graphing, substitution, and elimination. For example
{2x+7y=3}
{x=-4y}
You should first look at if you have a variable that can be substituted (using substitution) and in this case we do! you plug in the x into 2x meaning 2(-4y)+7y=3
1) distribute -8y+7y=3
2) combine like terms in this case -8y+7y= -1y
3) solve -1y=3
y=-3
so currently our solution is (0,-3)
now we solve for x.
we plug our solved variable (y) into 7y
7(-3) and our equation looks like this
2x+7(-3)=3
1) distribute 7(-3)=-21
2) rewrite then solve 2x+(-21)=3
3) isolate variable -21+21 & 3+21
4) 2x=24
5) solve 2/24 = 12
Meaning our solution is (12,-3)
This is how to solve by substitution.
Answer:
It's B trust me.
Step-by-step explanation:
Trust me