The event that either M1 or M2 fails has probability
by the addition rule. Failure events are independent, so
so that
Denote this probability by 
. Then 
follows a geometric distribution with this parameter and has density
The expectation is 
.
Average rate of change: r=[f(b)-f(a)]/(b-a)
r=-60→[f(b)-f(a)]/(b-a)=-60
b=5; f(b)=-213; a=1; f(a)=27
(-213-27)/(5-1)=(-240)/4=-60
Answer: The <span>two points in the table which create an interval with an average rate of change of -60 are:
x f(x)
1 27
5 -213</span>
Using the distribution method:
x^2 + 12x - 8x = 14 + x^2 - 4x
x^2 + 4x = x^2 - 4x + 14
Now, I'm isolating x by moving all the x's onto one side of the equation:
x^2 - x^2 + 4x + 4x = 14
Combine like terms (x^2 cancels out):
8x = 14
x = 14/8
Simplified: x = 7/4
Not sure, there is no graph with it. I just edited the question to fix the formatting and to add in info that got cut off when iI pasted it in.
Answer:
50.24 or 50.272
Step-by-step explanation:
Square radius and then times by 3.14 or 3.142
4^2*3.14 = 50.24
4^2*3.142 = 50.272
