Answer:
See the proof below.
Step-by-step explanation:
For this case we just need to apply properties of expected value. We know that the estimator is given by:
And we want to proof that 
So we can begin with this:
And we can distribute the expected value into the temrs like this:
And we know that the expected value for the estimator of the variance s is 
, or in other way 
so if we apply this property here we have:
And we know that 
so using this we can take common factor like this:
And then we see that the pooled variance is an unbiased estimator for the population variance when we have two population with the same variance.
5 + (-6) = -1
hope this helps!
Answer:
t = (m / g) * p
Step-by-step explanation:
Since we are given a variable for every part of the equation that we need we can go ahead and create the following equation where t equals the total cost
t = (m / g) * p
In this equation, we need to first divide the total number of miles by the number of miles that the car gets per gallon. This would give us the total number of gallons that the car would use during the entire trip. We then multiply the number of gallons by the price per gallon to get the final cost of the entire trip.
Answer:
Step-by-step explanation :
Answer:
3
Step-by-step explanation:
The factor (x - 8) has 1 zero at x = 8
The factor (x + 3)² has a zero at x = - 3 of multiplicity 2
In total there are 3 zeros
