Given:
The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).
To find:
The equation of the quadratic function.
Solution:
A quadratic function is defined as:
...(i)
It is passes through the point (0,11). So, substitute
in (i).


Putting
in (i), we get
...(ii)
The quadratic function passes through the point (5,31). So, substitute
in (ii).

Divide both sides by 5.
...(iii)
The quadratic function passes through the point (3,11). So, substitute
in (ii).
Divide both sides by 3.
...(iv)
Subtracting (iv) from (iii), we get




Putting
in (iv), we get



Putting
in (ii), we get
Therefore, the required quadratic equation is
.
Answer: The probability of rejecting the null hypothesis, when it is true, is 5%.
Step-by-step explanation:
We know that the level of significance ( denoted as
) is generally the probability of rejecting the null hypothesis when it is true.
Therefore , If the level of significance (\alpha[/tex] ) 0.05, then it means that it is the probability of rejecting the null hypothesis when it is true.
i.e. The probability of rejecting the null hypothesis when it is true= 0.05
In percent : 
Hence, the correct option is : The probability of rejecting the null hypothesis when it is true is 5%.
Answer:
36 i think
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I am so sorry if this is not right but I believe its D
Use the std eqn of a circle with center at (h,k) and radius r:
(x-0)^2 + (y+2)^2 = 9^2, or just x^2 + (y+2)^2 = 9^2.