Answer:
See proof below.
Step-by-step explanation:
If we assume the following linear model:

And if we have n sets of paired observations
the model can be written like this:

And using the least squares procedure gives to us the following least squares estimates
for
and
for
:


Where:


Then
is a random variable and the estimated value is
. We can express this estimator like this:

Where
and if we see careful we notice that
and 
So then when we find the expected value we got:




And as we can see
is an unbiased estimator for 
In order to find the variance for the estimator
we have this:

And we can assume that
since the observations are assumed independent, then we have this:

And if we simplify we got:

And with this we complete the proof required.
When
the ball is in the ground, its height is basically equal to zero thus making
our equation,
<span> -16t^2 + 272t + 1344 = 0</span>
Simplifying
the equation will give us,
<span> - t^2 + 17t + 84 = 0 or t^2 – 17t – 84 = 0</span>
Factoring
out the equation will give us,
<span> (t – 21)(t + 4) = 0</span>
Thus,
t = 21 or t = -4. -4 is an extraneous root. Thus, the answer is t = 21.
<span>Answer:
21 seconds</span>
It will be close to 15 days but don’t take my word for it
Answer:
r=(a/b)-1
Step-by-step explanation:
a=b(1+r)
a/b = 1+r
r=(a/b)-1