12$ Would be how much it would be after the sale
We will have the following:
First, we write the both equations: the line and the circle:
This can be seeing as follows:
Now, we determine the point where the line intersects the circle in the first quadrant, so first, we determine the positive part of the circle, that is:
Now, we equal this expression and the line:
From this, we take the positive value, since it the only one that makes sense under the parameters required, now we find the value of y:
So, the solution is at the point:
This can be seeing as follows:
Answer: 34 degrees of freedom should be used to find the p-value of the test .
Step-by-step explanation:
Degrees of Freedom relates to the maximum number of independent values, that have independence to vary in the sample.
Given : When testing the difference between two population means and the population variances are unknown and unequal, the degrees of freedom are calculated as 34.7.
But degree of freedom must be an integer , so we find the greatest integer less than equal to the calculated degree of freedom.
i.e. [df]=[34.7]= 34
Thus , 34 degrees of freedom should be used to find the p-value of the test .
Answer:
The ones that give a rational number answer are:
C+D
A*B
C*D
A*A
Step-by-step explanation:
A+B does not give a rational number answer; √3+2√3 = 3√3
C+D is a rational number; √25=5 and √16=4; 5+4=9.
A+D is not a rational number; √3+√16 = √3+4
A*B is a rational number; √3*2√3 = 2√9 = 2*3 = 6
B*D is not a rational number; 2√3*√16 = 2√3*4 = 8√3
C*D is a rational number; √25*√16 = 5*4 = 20
A*A is a rational number; √3*√3 = √9 = 3
She has 7 soccer trophies.
So lets assume she wants to display it in a straight line:
The 1st has 7 ways
The 2nd has 6 ways
The 3rd has 5 ways
The 4th has 4 ways
until the last.
Total = 7 × 6 ×5 × 4 × 3 × 2 × 1 = 5040 ways.