Answer:
840
Step-by-step explanation:
Given
![DJs = 7](https://tex.z-dn.net/?f=DJs%20%3D%207)
![To\ pick = 4](https://tex.z-dn.net/?f=To%5C%20pick%20%3D%204)
Required
Determine the number of rankings
The term "ranking" as used in this question implies permutation and the required is calculated using:
![^nP_r = \frac{n!}{(n-r)!}](https://tex.z-dn.net/?f=%5EnP_r%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-r%29%21%7D)
Where
![n = 7](https://tex.z-dn.net/?f=n%20%3D%207)
![r = 4](https://tex.z-dn.net/?f=r%20%3D%204)
So:
![^nP_r = \frac{n!}{(n-r)!}](https://tex.z-dn.net/?f=%5EnP_r%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-r%29%21%7D)
![^7P_4 = \frac{7!}{(7-4)!}](https://tex.z-dn.net/?f=%5E7P_4%20%3D%20%5Cfrac%7B7%21%7D%7B%287-4%29%21%7D)
![^7P_4 = \frac{7!}{3!}](https://tex.z-dn.net/?f=%5E7P_4%20%3D%20%5Cfrac%7B7%21%7D%7B3%21%7D)
![^7P_4 = \frac{7 * 6 * 5 * 4 * 3!}{3!}](https://tex.z-dn.net/?f=%5E7P_4%20%3D%20%5Cfrac%7B7%20%2A%206%20%2A%205%20%2A%204%20%2A%203%21%7D%7B3%21%7D)
![^7P_4 = 7 * 6 * 5 * 4](https://tex.z-dn.net/?f=%5E7P_4%20%3D%207%20%2A%206%20%2A%205%20%2A%204)
![^7P_4 = 840](https://tex.z-dn.net/?f=%5E7P_4%20%3D%20840)
<em>Hence, number of ranking is 840</em>
Answer:
50%
Step-by-step explanation:
47 is half of 94 which is the same thing as 50% of 94
Answer:
15 kg
Step-by-step explanation:
Radius of a solid sphere : mass of a solid sphere
3 cm : 9 kg
Find the mass of a sphere of the same material of radius 5 cm
Radius of a solid sphere : mass of a solid sphere
5 cm : x kg
Equate both ratios to find x
3 cm : 9 kg = 5 cm : x kg
3/9 = 5/x
3 * x = 9 * 5
3x = 45
x = 45/3
x = 15 kg
The mass of a sphere of the same material of radius 5 cm is 15 kg
Answer:
Ok, answer is 2.
Step-by-step explanation:
Good to know there are some very helpful people out there
:)
11 - 9
= 2
(a)
![x^{2}](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20)
= 400
(b)
![\sqrt{x^2} = \sqrt{400}](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%5E2%7D%20%3D%20%5Csqrt%7B400%7D)
![x=20,-20](https://tex.z-dn.net/?f=x%3D20%2C-20)
(c) Only the positive solution makes sense because you cannot have a negative side length.
(d) Since one side of the painting is 20 inches, all four sides together will be 20*4 = 80 inches