Answer:

If we divide both sides by
we got:

And we can use the normal distribution table or excel to find the probabilites and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the area of a population, and for this case we know the distribution for X is given by:
Where
and 
We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean
is given by:

And we want to find this probability:

If we divide both sides by
we got:

And we can use the normal distribution table or excel to find the probabilites and we got:

Answer:
201.06in³ should be your answer
Answer: x < 7
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -8x by subtracting 40 from both sides.
That leaves you with -8x > -56.
To get <em>x</em> by itself, divide both sides by -8 but watch out.
If you divide both sides of an inequality by a negative,
you must switch the direction of the inequality sign.
So we have x < 7.
Answer:
E) y + 1 = -3 (x - 2)
Step-by-step explanation:
y-y1=m(x-x1)
Use this equation to solve a question like this. Just plug in the numbers you have to get the equation.