Total capacity = sum of the individual production capacities.
Here,
Total capacity = sum of f(m) = (m + 4)^2 + 100 and g(m) = (m + 12)^2 − 50.
Then f(m) + g(m) = (m + 4)^2 + 100 + (m + 12)^2 − 50.
We must expand the binomial squares in order to combine like terms:
m^2 + 8 m + 16 + 100
+m^2 + 24m + 144 - 50
---------------------------------
Then f(m) + g(m) = 2m^2 + 32m + 160 + 50
f(m) + g(m) = 2m^2 + 32m + 210, where m is the number of
minutes during which the two machines operate.
It is 15.8 because 250 square root is 15.8...
Answer:
The approximate standard error of the sample proportion is 
Step-by-step explanation:
From the question we are told that
The sample proportion is 
The sample size is n = 100
Generally the standard error of the sample proportion is mathematically represented as
substituting values
The probability of not winning would be :
1 - probability of winning
This is written as:
1 - n/n+3
Now to simplify as a single fraction rewrite as:
N+3/n+3 - n/n+3
Simplify to get : 3/n+3
Answer:
and 
Step-by-step explanation:
Given
Required
Express as
In functions:
So, we have:
g(x) can be set to x and f(x) to x + 2
Hence:
When: and
