(a)
12+0.72(8)
12+5.76
17.76 qts of antifreeze
(b)
100(12+8(.72))/(12+8)
100(12+5.76)/20
100(17.76)/20
5(17.76)
88.8%
Answer:
x = 25.35 (or 2129/84) and y = 4334.04 (or 121353/28)
Step-by-step explanation:
The given equations are set up and ready to go with substitution. Simply just plug in the first equation to the second equation as both are equal to y.
Step 1: Replace y in <em>y = 87x + 2129 </em>with <em>171x</em>
171x = 87x + 2129
Step 2: Subtract 87 x on both sides
84x = 2129
Step 3: Divide both sides by 84 to get x
x = 2129/84 or 25.35 (rounded)
To get y, simply plug in x into one of the 2 original equations. In this case, I will use the first equation:
y = 171 (25.35)
y = 121353/28 or 4334.04 (rounded)
You can check your work by plugging both solutions into the calculator and see if they equal each other. The values for these answers are solely based on the equations, so if you write the <em>equations </em>wrong themselves, then that means you have the values wrong as well.
Answer:
Y=3/2x - 3/2
Step-by-step explanation:
To find the inverse, switch the x and y in the equation. Then solve for y.
Y=2/3x+1
X=2/3y+1
X-1=2/3y
3/2(x-1)=y
3/2x-3/2=y
Answer:
12
Step-by-step explanation:
Given :
Male Female Total
Registered 60
Non registered 40
Total 20 80
Solution :
N= 100
Formula of expected frequency = 
= expected frequency for the ith row/jth columm.
= total in the ith row
= total in the jth column
N = table grand total.
So, using formula 
![E_{22]=\frac{80 \times 40}{100}](https://tex.z-dn.net/?f=E_%7B22%5D%3D%5Cfrac%7B80%20%5Ctimes%2040%7D%7B100%7D)
Expected frequency table
Male Female Total
Registered 12 48 60
Non registered 8 32 40
Total 20 80
So, the expected frequency for males who are registered voters are
