Based on the results of the study, the conclusion which is valid is There is correlation between the increase in the rate of televised political attack ads since the previous congressional election and the rate of voter dissatisfaction in the observed districts.
<h3>What doe
s the study conclude?</h3>
The study showed that the rate of voter dissatisfaction in the districts since the previous election cycles is similar to the rate of increase of televised political attack ads.
The fact that both the rate of voter dissatisfaction and televised political attack ads moved together means that they correlate with each other.
It is important to note however, that correlation does not equate causation so there might be no link between the two rates.
Find out more on correlation at brainly.com/question/26998752
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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.
The function is invertible on either side of the vertex. There are many possible answers. Ones that include the vertex are ...
x ≥ 3
or
x ≤ 3
Step-by-step explanation:
the writing and spacing of the problem description is difficult to understand.
but there is no mystery. look at the examples.
all of them
3×5 = 15 = 16 - 1 = 4² - 1
4×6 = 24 = 25 - 1 = 5² - 1
5×7 = 35 = 36 - 1 = 6² - 1
6×8 = 48 = 49 - 1 = 7² - 1
7×9 = 63 = 64 - 1 = 8² - 1
8×10 = 80 = 81 - 1 = 9² - 1
so, what does this look like ?
(x-1)×(x+1) is always equal to (x² - 1)
To solve the first four problems shown in the picture, you must find out what number was multiplied by the original to get the new number in the second fraction.
In the case of problem 1, 5 was multiplied by 4 to get 20. So, to make the fractions proportional, you multiply the numerator by 4 as well. This would be: 4/5=16/20.
Do this for the next 3 problems.
Now, to solve problem 5, both 3 and 5 can go into 15, so it doesn't really matter what you choose. I will go with 5, as it is the larger number and will be easier to solve with.
3:5=?:15, or 3/5=?/15 is the problem here. You can do the rest of this problem using the same technique I used to help you solve the first three problems.
Problem 6 is the same thing, but instead of enlarging the number, you are decreasing. It is done in the same way, but using division instead of multiplication.
10 cm wide is reduced to 4 cm wide. 30 cm long is reduced to ? cm long. This can be written as: 10/30=4/?
But because 10 isn't divisible by 4 evenly, you can use ratios to answer this. In the original diagram, there is 1cm in length for every 3cm in width. So if there are 4cm in length, multiply that by 3 to get width. 4x3=12. The length of the reduced diagram would be 12cm.
For question 7, you know that in 2 hours, a wood stove burns 4 logs. Assuming that all logs in the problem are same-sized, you can simply multiply 4 by 4, as 2 goes into 8 four times, and 4 logs are used up every 2 hours.
For question 8, you must divide $2.20, or 2.2, by 5. This would be: 2.2/5=0.44
A single stamp is worth $0.44, so multiply that number by 7 to get the price of 7 stamps.
I cannot answer question 9 as it seems to be a multi-part question that includes a diagram that is not shown in the photo.
However, if you need help solving problem 9, feel free to post the rest of the page as another question and if I am not too late, I will try to help. I hope I helped out :-)
