Answer:
The two expression to represent area is (5 x - 10) sq. units or 5( x- 2) sq. units
Step-by-step explanation:
Here, the length of the rectangle = (x-2) units
The width of the rectangle = 5 units
Now, AREA OF A RECTANGLE = LENGTH x WIDTH
So, here AREA = 5 ( x- 2)
= (5 x - 10) sq. units
( as by Distributive property: A (B-C) = AB - AC)
Hence, the two expression to represent area is (5 x - 10) sq. units or 5( x- 2) sq. units
Answer:

And we can use the z scoe formula given by:

And if we find the z score for the limits we got:


And this probability is equivalent to:

Step-by-step explanation:
For this case we can define the random variable X as "number of miles between services" and we know the following info given:

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
From the central limit theorem we know that the distribution for the sample mean
is given by:
We select a random sample size of n =44. And we want to find this probability:

And we can use the z scoe formula given by:

And if we find the z score for the limits we got:


And this probability is equivalent to:

ANSWER

to the nearest thousandth.
EXPLANATION
The given irrational number is

We use the calculator to evaluate this to obtain,

To round to the nearest thousandth means we are rounding to 3 decimal places.
The third decimal place is 5.
The next number is 5 so we round up.

The answer is 0.079
*Remove percent sign
*Move decimal back 2 times