Answer:
There is a negative correlation in the data set.
Step-by-step explanation:
This can be found out by observing the fact that the points are decreasing as time goes on and the slope is downward from left to right.
The function given is a composite function. Let's work from the outside in:

First step:
![\frac{d}{dx}[y]= \frac{d}{dx}[ln(sinh(2x))]](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%5By%5D%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bln%28sinh%282x%29%29%5D)
Now, let's work it out:
![\frac{dy}{dx} = \frac{1}{sinh(2x) } * \frac{d}{dx}[sinh(2x)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cfrac%7B1%7D%7Bsinh%282x%29%20%7D%20%2A%20%20%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bsinh%282x%29%5D)
Next step:
![\frac{dy}{dx} = \frac{1}{sinh(2x) } * cosh(2x) * \frac{d}{dx}[2x]](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cfrac%7B1%7D%7Bsinh%282x%29%20%7D%20%2A%20cosh%282x%29%20%2A%20%20%5Cfrac%7Bd%7D%7Bdx%7D%5B2x%5D%20)
Next step:

Simplify:

Simplify further:

Remember that:

So,
your final answer is:
So, your answer is
C. Hope I could help you!
Step-by-step explanation:
one million, two hundred thirty-four thousand, seven hundred sixty-one
Answer:
<u>A. p(hat) = .139</u>
We divide our sample population by the amount who tested positive. 14851/107109 = .139.
<u>B. 1.62 million</u>
We just multiply the p times the population. 11.69 M * .139 = 1.62 M
<u>C. No</u>
It depends upon the sample method. From what I can tell, I assume all conditions are met and it was not biased.
If it wasn't random, that is a problem, but we aren't given this information.
We can test if it's small enough. It can't be larger than 10% of the population. 107109 * 10 < 11.69 million, so it's small enough.
We can also test if it's large enough. np and nq must be greater than 10. 107100 * .139 > 10, 107100 * .861 > 10.
Answer:
20 ft²
Step-by-step explanation:
the area (A) of a triangle is calculated using the formula
A =
bh ( b is the base and h the height )
here b = 5 and h = 8
A =
× 5 × 8 = 20 ft²