Answer:
3.63 * 10^19
Step-by-step explanation:
Given that :
Number of choices to select = 12
Category available :
Blues - 14
Country - 25
Disco - 21
To select an equal number of song for each category ; then 4 songs will be selected from each :
Using combination :
(14C4 * 25C4 * 21C4)
Since the order matters for the 12 selected songs ; it thus requires 12 permutation
Thus ;
(14C4 * 25C4 * 21C4) * 12!
nCr = n! / (n-r)!r!
Using calculator;
14C4 = 1001 ;
25C4 = 12650
21C4 = 5985
12! = 479001600
Hence,
(1001 * 12650 * 5985) * 479001600
= 36301596217286400000
=3.63 * 10^19
If you multiply 25×6×4 you should get 600.
hope this helps!
Answer:
A) 991=43x+475
B) 12 hours
Step-by-step explanation:
Answer:
229.23 feet.
Step-by-step explanation:
The pictorial representation of the problem is attached herewith.
Our goal is to determine the height, h of the tree in the right triangle given.
In Triangle BOH

Similarly, In Triangle BOL

Equating the Value of h

Since we have found the value of x, we can now determine the height, h of the tree.

The height of the tree is 229.23 feet.
Answer: Assuming that it's already in the standard form - y=mx+b | Your Y-Intercept is going to be -9
Step-by-step explanation:
Using the equation y=mx+b, anything that is in place of the (b) is your Y-Intercept and your slope is (m)