Answer:
C
Step-by-step explanation:
Solution:-
- An experiment on the efficacy of spraying malathion on oats to control the growth cereal leaf beetle.
- A sample of n = 10 farms was taken at random. Each farm was either subjected to control group ( no spray ) or the treatment group ( spray ).
- Power ( β ) is the probability of rejecting the null hypothesis when, in fact, it is false. I.e the test statistics lie in the rejection region or the benefit of adding malathion is proven in-effective when in fact it is in-effective.
- Power is the probability of avoiding a ( Type II error ). Mathematically expressed as:
Type II Error = 1 - β
- Power is the probability of making a correct decision (to reject the null hypothesis) when the null hypothesis is false.
- The probability that a test of significance will pick up on an effect that is present.
Hence,
Answer: It is the ability to detect the effectiveness of malathion when in fact it is effective.
The answer is B. All real numbers. :)
Okay, first, given the equation, we need to find out what the radius of the circle is. Let us state the general equation of a circle:

Where

is the centre of the circle. In this case, we don't need to know the centre. Just the radius.
Let us start by converting the equation into standard for, which I typed above. Divide both sides by 81.

Great! We now know the radius of the circle. It is

because it is the bottom fraction. Now we know that the radius is 9.
So now lets input this into the area of circle formula:
Now we insert our radius.
You can convert that into a decimal if you wish.
Hope this helped!
~Cam943, Moderator
Answer:
27 degrees
Step-by-step explanation:
We are given that Angle AEF is 63. We can also see that EAF is a right angle. Since angles in a triangle add up to 180, we can use this to solve for AFE:
Angle AEF + EAF + AFE = 180
63 + 90 + AFE = 180
153 + AFE = 180
AFE = 27
<em>Or we can solve it another way</em>
Since EAF is a right angle, the other angles are complementary (they add up to 90) so...
Angle AEF + AFE = 90
63 + AFE = 90
AFE = 27