The square meters of the area the oil slick will cover is 9.6 × 10⁶ m².
<h3>What is meant by volume?</h3>
Volume is defined as the amount of three-dimensional space enclosed by a closed surface.
- The liter (L) is the metric system's base volume unit, with several extended volume units also available.
- There are also many metric volume units based on the a cubic length dimension, including such cubic meters or cubic centimeters. Gallons and ounces are examples of imperial volume units.
Now, as per the given question;
First, we determine the entire volume of oil in gallons by multiplying the volume per barrel even by total number of barrels:
15×42 gal = 630 gal
This volume must be converted to square meters:
V = 630 gal × (0.00379 m³/ gal
V = 2.4 m³
The thickness (height) of a oil film in meters is required:
h = 250 nm × (m/10⁻⁹nm)
h = 2.5 × 10⁻⁷m
The surface area of a oil film is calculated by dividing the oil volume by height of the oil film.
A = V/h
A = 2.4 m³/2.5 × 10⁻⁷m
A = 9.6 × 10⁶ m²
Therefore, the area of the oil slick cover is found to be 9.6 × 10⁶ m².
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Answer:
d. If your sample size is very large, the distribution of the sample averages will look more like distribution.
Step-by-step explanation:
The central limit Theorem states that for population distribution if you repeatedly take samples from the distribution, then the normal thing for it to happen would be that the distribution means of the samples will be normally distributed, this is what it states, the option that comes closer to that statement would be d. If your sample size is very large, the distribution of the sample averages will look more like distribution, because they large sample will create for a normally distributed means distribution.
Supplementary angles add up to 180 degrees
Using a system of equations, it is found that <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.
For the system, we consider that:
- x is the number of books on the first shelf.
- y is the number of books on the second shelf.
- z is the number of books on the third shelf.
In total, there are 152 books, hence:

The first shelf has 7 fewer books than the second shelf, hence:

Also, it has 11 more books than the third shelf, hence:

Then:


Then, replacing in the first equation:





The number of books in each shelf has to be countable, that is, cannot be decimal.
- Then, <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.
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