Denote the cylindrical surface by 
, and its interior by 
. By the divergence theorem, the integral of 
across (the outward flow of the fluid) is equal to the integral of the divergence of over the space it contains, :
The given velocity vector has divergence
Then the total outward flow is
Converting to cylindrical coordinates gives the integral
The data are reported in the attached table.
We define the null hypothesis H₀ as the statement that is believed true until we prove it wrong with the test.
We define the alternative hypothesis H₁ as the statement we want to conclude with our test.
The difference in graffiti before (B) and after (A) will be:
d = A - B.
If the graffiti declined, it means that A will be smaller than B, therefore d should be negative.
Therefore we can set:
H₀ : μd ≥ 0
H₁ : μd < 0
The equal sign would mean that the number of graffiti incidents remained constant, therefore it is part of the null hypothesis.
Therefore the correct answer is B) H₀: μd ≥ 0 versus <span>H₁</span>: μd < 0
Answer:
Baton Rouge is 19 meters higher that New Orleans.
For 21 Oz, price is 2.94
So, for 1 Oz, it would be: 2.94 / 21 = 0.14
In short, Your Answer would be $0.14 cereal per oz.
Hope this helps!
First you need to find the area of the whole circle.
The radius is given as 10, so just insert 10 into the equation of the area of a circle equation.
Putting
after the 100 because that is what is commonly done.
Because the circle is then being split into 4 equal sections, we need to find 1/4 of the area of the whole circle to find the area of one of these sections.
Since the area of the whole circle is
then we just divide that by 4,
leaving us with 25
and that is our final answer
