0.08 cm/min
Step-by-step explanation:
Given:

Find
when diameter D = 20 cm.
We know that the volume of a sphere is given by

Taking the time derivative of V, we get

Solving for
, we get


Hi!
We can use <u>point-slope form </u>to solve this.

<em> and </em>
<em> will be from one of the points.</em>
<u>First, we have to find </u>
<u>, the slope. We can use the slope equation to get this.</u>

<em>Plug in your points:</em>

Your slope is 
<u><em>Now plug points and slope into point-slope equation. We will use (8, 4).</em></u>

Now, if you want to get it into y = mx + b form, you have to solve for y:



Your equation is 
<u><em>For more information on how to get the equation of a line when given two points, see here:</em></u>
brainly.com/question/986503
<h2><u>
Answer with explanation</u>
:</h2>
Let
be the population mean.
As per given , we have

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.
Also, population standard deviation is given
, so we perform one-tailed z-test.
Test statistic : 
, where
= Population mean
= Population standard deviation
n= sample size
= Sample mean
For n= 18 ,
,
,
, we have

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\
=1- 0.0340=0.9660
Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.
[We reject null hypothesis if p-value is larger than the significance level . ]
Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .
Answer:
0
Step-by-step explanation:
13 patients had 0 cavities, according to the table! The righthand column is the frequency of people, and the left is the number of cavities they had.
The answer is x = z/w - c/w