Answer:
Step-by-step explanation:
Let represents the standard deviation .
Given : Last year, the standard deviation of the ages of the students at UA was 1.8 years.
The researcher are interested in testing to see if there has been a significant change in the standard deviation of the ages of the students at UA.
We know that the null hypothesis always contains the equal signs, then the null and alternative hypothesis is given by :-
Answer:
Seee answer below.
Step-by-step explanation:
a. k = −1
If K=-1 the equation gets this form:
(x^2/-1) -y^2=1
There aren't natural numbers that being negative, adding them, we get 1 as result. So there is no graph for this equation.
b. k = 1
(x^2/1) -y^2=1
This is the natural form of the equation of an hyperbola. Attached you can find the graph.
c. k = 2
(x^2/2) -y^2=1
This is the natural form of the equation of an hyperbola. Attached you can find the graph.
d. k = 4
(x^2/4) -y^2=1
This is the natural form of the equation of an hyperbola. Attached you can find the graph.
e. k = 10
(x^2/10) -y^2=1
This is the natural form of the equation of an hyperbola. Attached you can find the graph.
f. k = 25
(x^2/25) -y^2=1
This is the natural form of the equation of an hyperbola. Attached you can find the graph.
g. Describe what happens to the graph of
x2 / k − y2 = 1 as k → [infinity].
As K is increasing the value of X will be tending to 0. So the equation for this will be:
− y^2 = 1.The solution for this is in the domain of the imaginary numbers.
