Answer:
Ivan get 90 pounds more than Tanya.
Step-by-step explanation:
Since it's a 4:1 ratio there is 5 parts in total. So i divided the 150 by 5 to get 30. From there i multiplies the 30 by 4 to get Ivan's portion and Tanya only has one portion which is 30. So Ivan has 120 and Tanya has 30, 120-30= 90
Answer:
<em><u>All three choices would occur, and are all correct.</u></em>
Step-by-step explanation:
The y-intercept of the least-squares regression line would decrease.
The standard deviation of the residuals would decrease.
The correlation coefficient (r) would get closer to 1.
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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.
Answer:
The constant of any equation is the number that doesn't change.
For example
4x-7=5
Seven and five are the constants because they are not going to change.
X= independent variable y= dependent variable
Step-by-step explanation:#need any questions answered within mins secs/
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