Answer:



Step-by-step explanation:
The given function is

We need to find first partial derivatives of the function.
Differentiate partially w.r.t. x and y, z are constants.


Differentiate partially w.r.t. y and x, z are constants.


Differentiate partially w.r.t. z and x, y are constants.



Therefore, the first partial derivatives of the function are
.
Answer:
Hi hope you have a wonderful and blessed day!!!!
Step-by-step explanation:
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".
(The answer is 12.082.) Juan used 12.082 meters of rope.
Answer:
13, 18, 72
Step-by-step explanation:
let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.
set up an equation, and make it equal to 103:
x-5+x+4x=103
solve:
6x-5=103
6x=108
x=18
so, the third number is 18.
the first number is equal to x-5, so:
18-5=13
the second number is equal to 4x, so:
4(18)=72
so, the three numbers are 13, 18, and 72.