Answer:
The correct answer is d
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use the formula Sum = (a + L)*n/2
The tricky part is n. That's the number of terms between 1 and 99 inclusive.
n = 99 -1 + 1 = 99
n = 99
a = 1
L = 99
Sum = (1 + 99)*99 / 2
Sum = (100)*99/2
Sum = 4950
Answer:
Step-by-step explanation:
The first term is 22. It looks like each term after that is the term before, plus a negative 3.
a-sub-one = 22
common difference = d= -3
Formula for 
:
= 25 - 3n
Answer:
4.4 * 10^21
Step-by-step explanation:
Given :
Number of pop, n(p) = 10
Number of reggae, n(r) = 25
Number of blues, n(b) = 10
Total number of songs to select (n) = 15
If she wants equal Number if the 3 genres
Each genre will have : 15/3 = 5 songs each
Hence,
(10C5 * 25C5 * 10C5) * n!
Combination formula :
pCr = p! / (p-r)! r!
Using calculator to save computation time :
(10C5 * 25C5 * 10C5) * n!
(252 * 53130 * 252) * 15!
= 4412050844368527360000
= 4.4 * 10^21
In order to solve the problem above, represent the width by x. With this, the length of the rectangular portrait is 1.5x. The perimeter of the rectangle is two times the sum of the length and width. This translates to,
2 (1.5x + x) = 10 ft, x = 2 ft.
Thus, the length of the rectangular portrait is 3 ft.
