Find the area of the polygon.QUICKLY PLEASE
2 answers:
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Answer:
700 lbs and 3.742
Step-by-step explanation:
Given that raw materials are studied for contamination. Suppose that the number of particles of contamination per pound of material is a Poisson random variable with a mean of 0.02 particle per pound.
a) To get 14 particles of contamination we must have
expected number of pounds =
b) Since for 700 pounds particles expected are 14 we can say in a Poisson distribution mean and variance are equal
i.e. Var (700 lbs to obtain 14 particles of contamination ) = 14
Std deviation =
1. I suppose the ODE is supposed to be
Solving for gives
which is undefined when . The interval of validity depends on what your initial value is. In this case, it's
, so the largest interval on which a solution can exist is
.
2. Separating the variables gives
Integrate both sides. On the left, we have
where we substituted - or
- and
- or
.
On the right, we have
So
I'll leave the solution in this form for now to make solving for easier. Given that
, we get
and so our solution is