Answer:
x = - 3
Step-by-step explanation:
Given
7(x + 2) = 2x - 1 ← distribute parenthesis on left side
7x + 14 = 2x - 1 ( subtract 2x from both sides )
5x + 14 = - 1 ( subtract 14 from both sides )
5x = - 15 ( divide both sides by 5 )
x = - 3
Answer:

Step-by-step explanation:
Given:

Solving for
:

Acute is a angle of some sort I believe.
Answer:
-24
Step-by-step explanation:
-1(3^2)+(-15)
-9+(-15)
-24
Answer:

And then the maximum occurs when
, and that is only satisfied if and only if:

Step-by-step explanation:
For this case we have a random sample
where
where
is fixed. And we want to show that the maximum likehood estimator for
.
The first step is obtain the probability distribution function for the random variable X. For this case each
have the following density function:

The likehood function is given by:

Assuming independence between the random sample, and replacing the density function we have this:

Taking the natural log on btoh sides we got:

Now if we take the derivate respect
we will see this:

And then the maximum occurs when
, and that is only satisfied if and only if:
