Answer:
<h3>1) The correlation coefficient gives us information as to how strong the linear association is between two quantitative variables.</h3><h3>2) The Correlation coefficient has units of measurement and does always lie between -1.0 and +1.0</h3><h3>3) The closer the absolute value of r is to 1, the stronger the relationship is between the two variables. </h3>
Step-by-step explanation:
The choices are
1) The correlation coefficient gives us information as to how strong the linear association is between two quantitative variables.
2) The Correlation coefficient has units of measurement and does always lie between -1.0 and +1.0
3) The closer the absolute value of r is to 1, the stronger the relationship is between the two variables.
4) A correlation coefficient of r=0 indicates a strong linear relationship between two variables.
The correlation coefficient is a number from -1 to 1, which indicates how strong can be the correlation between variables. It could be a strong positive correlation or a strong negative correlation. If the correlation coefficient is close to -1, then it's a strong negative correlation. If the correlation coefficient is close to 1, then it's a strong positive correlation.
Therefore, the first choice is correct.
The second choice is also correct, because the correlation coefficient is restricted to the interval [-1, 1].
The third choice is also crrect, because 1 represents a strong correlation between variables, but to have full answer, it should say "a strong positive corrrelation".
Answer:
V = 65.548 cm³
Step-by-step explanation:
We have,
Volume of a ball is 4 cubic inches or 
.
We know that, 1 inch = 2.54 cm
It is required to convert this volume to cubic centimetre or 
.
So, the volume of the ball is 65.548 cm³.
Answer:
Between 150 and 450
Step-by-step explanation:
We are going to find the number by resolving a system of linear equations.
First we write the system equations :
Where C : children, S : students and A : adults
The equation represents the ''full attendance''
The second equation :
This equation represents the totaled receipts.
The system :
has the following associated matrix :
![\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%261%261%26750%5C%5C3%265%267%263450%5Cend%7Barray%7D%5Cright%5D)
By performing elementary matrix operations we find that the matrix is equivalent to
![\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%26-1%26150%5C%5C0%261%262%26600%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The new system :
Working with the equations :
Our solution vector is :
![\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7DC%26S%26A%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D150%2BA%26600-2A%26A%5Cend%7Barray%7D%5Cright%5D)
For example :
If 0 adults attended ⇒ A = 0
This verify the totaled receipts equation :
150($3)+600($5) = $ 3450
A ≥ 0 ⇒ If A = 0 ⇒ C = 150
C = 150 is the minimum children attendance
From the equation :
S ≥0
600 - 2A ≥ 0
600 ≥ 2A
300≥ A
A is restricted to the interval [ 0, 300]
When A = 0 ⇒ C = 150
When A = 300 ⇒C = 150 + A = 150 + 300 = 450
Children ∈ [ 150,450]
With C being an integer number (including 0)
Also S and A are integer numbers (including 0)
Since it says the number x , this means x represents a number , reduced by 25 means that this is most likely half of 25 so whats half of 25%?
well 5 * 5 = 25 , so here is your answer = 5
