Given:
Minni is arranging 3 different music CDs in a row on a shelf.
To find:
The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R).
Solution:
We know that the total number of ways to arrange n items is n!.
Minni is arranging 3 different music CDs in a row on a shelf. So, the total number of ways is:
The sample space for the arrangement of a jazz CD (J), a pop CD (P), and a rock CD (R) is:
{JPR, JRP, PJR, PRJ, RJP, RPJ}
Therefore, the required sample space is {JPR, JRP, PJR, PRJ, RJP, RPJ}.
Answer:
Riley rakes 1/4 of the lawns per hour.
Step-by-step explanation:
It is given that,
Riley rakes 1/6 of a lawn in 2/3 hour.
We need to find how many lawns can Riley rake per hour.
In 2/3 hour Riley rakes 1/6 of a lawn
In 1 hour Riley rakes = 1/4 of a lawn.
Hence, Riley rakes 1/4 of the lawns per hour.
The values of x in the quadratic equation using completing the square method are .
Given information:
The quadratic equation is .
It is required to factorize the given quadratic equation using completing the square method.
<h3>How to factorize a quadratic equation?</h3>Use completing the square method to solve the equation as,
Therefore, the values of x in the quadratic equation using completing the square method are .
For more details about quadratic equation, refer to the link: