Answer:
C
Step-by-step explanation:
There are 10·9/2 = 45 ways to choose 2 winners from 10 entrants.
There are 5·4/2 = 10 ways to choose 2 winners from Pike.
The probability that both winners are from Pike is 10/45 = 2/9.
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There are n ways to choose the first winner from a pool of n. There are n-1 ways to choose the second one, hence n(n-1) ways to choose two from n when order matters. Since this counts the choices (1)(2) and (2)(1) as two different possibilities, we need to divide by 2 when order doesn't matter.
Answer:
Expressions are not equivalent
Step-by-step explanation:
Given expressions are:
Putting w=1 in both expressions
![4(3w+4)\\=4[3(1)+4]\\=4(3+4)\\=4(7)\\=28\\\\16w+12\\=16(1)+12\\=16+12\\=28](https://tex.z-dn.net/?f=4%283w%2B4%29%5C%5C%3D4%5B3%281%29%2B4%5D%5C%5C%3D4%283%2B4%29%5C%5C%3D4%287%29%5C%5C%3D28%5C%5C%5C%5C16w%2B12%5C%5C%3D16%281%29%2B12%5C%5C%3D16%2B12%5C%5C%3D28)
Both expression have value 28 on w=1
Putting w=3 in both expressions
![4(3w+4)\\=4[3(3)+4]\\=4(9+4)\\=4(13)\\=52\\\\16w+12\\=16(3)+12\\=48+12\\=60](https://tex.z-dn.net/?f=4%283w%2B4%29%5C%5C%3D4%5B3%283%29%2B4%5D%5C%5C%3D4%289%2B4%29%5C%5C%3D4%2813%29%5C%5C%3D52%5C%5C%5C%5C16w%2B12%5C%5C%3D16%283%29%2B12%5C%5C%3D48%2B12%5C%5C%3D60)
Both expression have different values at w=3
Hence, in order for the expressions to be equivalent they both should produce same value on w=3 too.
So, it can be concluded that both expressions are not equivalent ..
Answer:
7,5
Step-by-step explanation:
pattern: +3, then -2
4+3 = 7
7-2 = 5
14 over 4509 would be an equvilent fraction
