Hi Jujub! To find the answer in lowest terms, first you have to find the lowest common denominator. To find this, find the lowest common multiple of 75 and 125, which is 375. Now, to make the common denominator, you have to make equivalent fractions. 375 ÷ 75 = 5, and 5 × 25 = 125. So the new fraction is 125/375. Now the same thing for 25/125. 375 ÷ 125 = 3, and 3 × 25 is 75. So the new fraction is 75/375. Now add the new fractions:
125/375 + 75/375 = 200/375
This answer can be simplified to 8/15.
<span>There are two possible ways where you can express this. First, is by presenting the equation net of 5 percent which is "x=1.0355n+2.6505m". The other way to express such is by presenting it with gross amount which is "x= (1-0.05)(1.09n+2.79m)"
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The two numbers are illustrations of system of equations
The two numbers are 2.7 and 37.3
<h3>How to determine the two numbers?</h3>
Let the numbers be x and y.
So, we have the following equations
x + y = 40
xy = 100
To determine the value of the variables, we simply plot the graph of both equations
From the graph, we have the following result
(x,y) = (2.7, 37.3)
Hence, the two numbers are 2.7 and 37.3
Read more about system of equations at:
brainly.com/question/14323743
LCM - means least common multiple
Answer:
a
The average cost is 
b
The standard deviation of cost is
Step-by-step explanation:
From the question we are told that




The cost of replacing the two component is C = 50 + 2 X + 4 Y
The variance of X is mathematically represented as
V(X) =
Substituting values
![V[X] = 24 - 4^2](https://tex.z-dn.net/?f=V%5BX%5D%20%3D%20%2024%20-%204%5E2)
![V[X] =8](https://tex.z-dn.net/?f=V%5BX%5D%20%3D8)
The variance of Y is mathematically represented as
V(Y) =
Substituting values
![V[Y] = 8 - 2^2](https://tex.z-dn.net/?f=V%5BY%5D%20%3D%20%208%20-%202%5E2)
![V[X] =4](https://tex.z-dn.net/?f=V%5BX%5D%20%3D4)
The average of replacing the two component is

substituting value


The variance of replacing the two component is
Note: The variance of constant is zero
and X and Y are independent
=> 
substituting values
=>
=>
=> 
The standard deviation is
substituting values