How many real solutions does a quadratic equation have if its discriminant is zero?
1 answer:
You might be interested in
Answer:
The answer is "between 0.10 and 0.05".
Step-by-step explanation:
For sample 1:
For sample 2:
Calculating the null and alternative hypotheses:
Calculating the test statistic:
Calculating the conservative degrees of freedom:
by using Excel the p-value for left tailed test and for test statistic will be with
.
Since each vector is a member of 
, the vectors will span if they form a basis for , which requires that they be linearly independent of one another.
To show this, you have to establish that the only linear combination of the three vectors
that gives the zero vector 
occurs for scalars 
.
Solving this, you'll find that, so the vectors are indeed linearly independent, thus forming a basis for and therefore they must span .
To show this, you have to establish that the only linear combination of the three vectors
Solving this, you'll find that