Answer:
We do not reject the Null Hypothesis
Step-by-step explanation:
From the question we are told that:
Sample size 
Population mean 
Sample mean 
Standard deviation 
Significance level 
Generally the Null and and alternative Hypothesis are as follows


Therefore t critical Value is


Where

Therefore
From t Table

Generally the equation for Z Critical is mathematically given by



Therefore
Since the t test statistics is greater than the Critical value
Hence,we do not reject the Null Hypothesis
Answer:
(- 2, - 9 )
Step-by-step explanation:
The axis of symmetry passes through the vertex of the parabola.
Thus the x- coordinate of the vertex is x = - 2
To find y substitute x = - 2 into f(x)
f(- 2) = (- 2)² + 4(- 2) - 5 = 4 - 8 - 5 = - 9
Vertex = (- 2, - 9 )
Answer:
Can't See the question
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
Answer:
Relative minimum:
, Relative maximum: 
Step-by-step explanation:
First, we obtain the First and Second Derivatives of the polynomic function:
First Derivative
(1)
Second Derivative
(2)
Now, we proceed with the First Derivative Test on (1):


The critical point is
.
As the second derivative is a constant function, we know that critical point leads to a minimum by Second Derivative Test, since
.
Lastly, we find the remaining component associated with the critical point by direct evaluation of the function:


There are relative maxima.