What is the slope of this line whose equation is y=1/6x-1/2
1 answer:
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Complete Question
The complete question is shown on the first uploaded image
Answer:
The 95% confidence interval is
Step-by-step explanation:
From the question we are told that
The first sample size is
The first proportion
The second sample size is
The second proportion is
Given that the confidence level is 95% then the level of significance is mathematically represented as
From the normal distribution table we obtain the critical value of the value is
Now using the formula from the question to construct the 95% confidence interval we have
Here
=>
=>
and
=>
=>
So
Answer:
Step-by-step explanation:
The <em>transpose of a matrix </em> is one where you swap the column and row index for every entry of some original matrix
. Let's go through our first matrix row by row and swap the indices to construct this new matrix. Note that entries with the same index for row and column will stay fixed. Here I'll use the notation
and
to refer to the entry in the i-th row and the j-th column of the matrices
and
respectively:
Constructing the matrix from those entries gives us
which is option a. from the list.
Another interesting quality of the transpose is that we can geometrically represent it as a reflection over the line traced out by all of the entries where the row and column index are equal. In this example, reflecting over the line traced from 2 to 1 gives us our transpose. For another example of this, see the attached image!
