Which pairs of angles in the figure below are vertical angles?
1 answer:
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Answer:
C. hyperbola;
Step-by-step explanation:
The given conic has equation:
Divide through by 225.
This is a hyperbola centered at the origin.
The hyperbola has been translated from the origin to (0,5).
The translated hyperbola will have equation;
Multiply through by 225.
Expand
Rewrite in general form;
<em>x = 1</em>
<em><u>Here is why:</u></em>
Add x to both sides.
Add 5 to both sides.
Divide.
x = 1
Answer: 16590
Step-by-step explanation:
The formula we use to find the sample size is given by :-
, where p = prior estimate of population proportion.
= Critical z-value (Two- tailed)
E= Margin of error .
Let p be the population proportion of cyanobacteria.
Given : E = 0.01
Critical value for 99% confidence interval :
If Ian does not want to rely on previous knowledge , then we assume p=0.5 because the largest standard error is at p=0.5.
Now, the required sample size =
Required sample size = 16590