The system of equations have no solution.
Explanation:
The equations are 
and 
To find the two numbers, let us solve the equations using substitution method.
From the equation , let us determine the value of r,
Let us substitute the value of r in , we get,
which is not possible.
This means that the system has no solution.
Answer:
The length of the chord is 16 cm
Step-by-step explanation:
Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions
From the first part of the question, we can get the radius of the circle
The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle
Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
r^2 = 8^2 + 6^2
r^2= 64 + 36
r^2 = 100
r = 10 cm
Now, we want to get a chord length which is 6 cm away from the circle center
let the half-portion that forms the right triangle be c
Using Pythagoras’ theorem;
10^2 = 6^2 + c^2
c^2 = 100-36
c^2 = 64
c = 8
The full
length of the chord is 2 * 8 = 16 cm
If you could put more info ab this then i would understand what u want me to put
The sampling distribution standard deviation is the population standard deviation divided by the root of the sample size.
sampling distribution standard deviation = 6.00/√36 = 1.00
