Answer: i think (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:
(4n + 1)²(4n - 1)²
= [(4n + 1)(4n - 1)]²
= (16n² - 1)²
= 16².n².n² - 2.16.n² + 1
= 8n²(32n² - 4) + 1
can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8
=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.
Step-by-step explanation:
There are a total of 18 socks from the drawer. Out of this number, there are 14 that are not blue. The probability of not picking a blue sock is the quotient when 14 non-blue socks is divided by 18 total number of socks. Therefore, the answer is 14/18 which is equal to 7/9. Thus, the answer is letter D.
I believe the answer is 1,243.00
If those are open circles shown on the number line the answer is D