Answer:
A and b r the same but b is just under x line
C would be the answer cause if it was d it be under x line
Answer:
The p-value for two-tailed test is 0.136
Step-by-step explanation:
Given;
one-tail test, p-value = 0.068,
In one-tailed test, we test for the possibility of a relationship in one direction and completely disregard the possibility of a relationship in the other direction.
One-tail test provides possibility of an outcome in one direction, while
two-tail test provides possibility of an outcome in two different directions.
Thus, the p-value for two-tailed test = 2 x 0.068 = 0.136
<h2>Question #22 Answer</h2>
B. 2 in.
<h3>Explanation:</h3>

Cross out the common factor

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<h2>Question #23 Answer (Picture attached)</h2>
D. proportional, equal
<h3>Explanation:</h3>

Δ
Δ × 



Answer:
The area is growing at a rate of 
Step-by-step explanation:
<em>Notice that this problem requires the use of implicit differentiation in related rates (some some calculus concepts to be understood), and not all middle school students cover such.</em>
We identify that the info given on the increasing rate of the circle's radius is 3
and we identify such as the following differential rate:

Our unknown is the rate at which the area (A) of the circle is growing under these circumstances,that is, we need to find
.
So we look into a formula for the area (A) of a circle in terms of its radius (r), so as to have a way of connecting both quantities (A and r):

We now apply the derivative operator with respect to time (
) to this equation, and use chain rule as we find the quadratic form of the radius:
![\frac{d}{dt} [A=\pi\,r^2]\\\frac{dA}{dt} =\pi\,*2*r*\frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%20%5BA%3D%5Cpi%5C%2Cr%5E2%5D%5C%5C%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%5Cpi%5C%2C%2A2%2Ar%2A%5Cfrac%7Bdr%7D%7Bdt%7D)
Now we replace the known values of the rate at which the radius is growing (
), and also the value of the radius (r = 12 cm) at which we need to find he specific rate of change for the area :

which we can round to one decimal place as:
