Answer:
Option b) Sample
Step-by-step explanation:
We are given the following in the question:
Survey:
356 surveys on television-viewing habits of American adolescents.
Result:
Average of 3.1 hours per day.
Population and sample:
- Population is a collection of all the possible observation of individuals or variable of interest.
- A sample is always a part of the population.
- It is a subset of population.
For the given survey, those who responded to the survey forms a a sample as it is a part of 356 surveys that is a subset of population.
The correct answer is
Option b) Sample
Answer:
C. True; by the Invertible Matrix Theorem if the equation Ax=0 has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the n x n identity matrix.
Step-by-step explanation:
The Invertible matrix Theorem is a Theorem which gives a list of equivalent conditions for an n X n matrix to have an inverse. For the sake of this question, we would look at only the conditions needed to answer the question.
- There is an n×n matrix C such that CA=
. - There is an n×n matrix D such that AD=.
- The equation Ax=0 has only the trivial solution x=0.
- A is row-equivalent to the n×n identity matrix .
- For each column vector b in
, the equation Ax=b has a unique solution. - The columns of A span .
Therefore the statement:
If there is an n X n matrix D such that AD=I, then there is also an n X n matrix C such that CA = I is true by the conditions for invertibility of matrix:
- The equation Ax=0 has only the trivial solution x=0.
- A is row-equivalent to the n×n identity matrix .
The correct option is C.
Volume can be defined as the <u><em>capacity of a given container or a certain object.</em></u>
The radius of the cone is 2 inches.
From the question, we are given the following parameters:
<em>The height of the cone = 12 inches</em>
<em>The volume of the cone = 16 π in³</em>
The formula to find the<u> radius of the cone </u>is given as:
√3V/πh
= √ 3 x 16π / π x 12
= 2 inches
Therefore, the radius of the cone is 2 inches.
To learn more, visit the link below:
brainly.com/question/25107622
Since angles A and C are equivalent, then angles B and D must also be equivalent. So if
angle B = angle D then...
7x + 15 = 8x
Now we just solve for x
7x + 15 = 8x
15 = 8x - 7x
15 = x
We Can check to see if it is correct by substituting 15 in for x in the equation..
7x + 15 = 8x
7 (15)+15 = 8 (15)
105 +15 = 120
120 = 120
It checks! angles B and D = 120 degrees
