If there are x total members, then the number of males is 5/8x
If it is a multiple of 5, and is even, then the last digit must be 0. But, 0 is not from 1-6, so there are no solutions and the probability is 0.
I think I answered this one before? https://web2.0calc.com/questions/let-p-x-x-2-q-x-2x-3-1-and-r-x-7x-4-5x-3-6x-2-find-p-q-x-r-x#r1
The solutions are 19, 19+43 so their sum is 38+43 = 81.
Hint: Use the binomial theorem.
Vertex occurs at -b/2a which is at x=9/2 and y=51/2.
Take the conjugate to get 2021-2022i.
Simple calculations get 640 (Just list out all of the factors and add! )
Because 2 and 7 are relatively prime, we can divide the congruence to get 2n=3 mod 7, and solving gets us n=5 mod 7. So, it is simply 5,12,19,26,33,40,47,54 for a total of 8 numbers.
Units digit of \(3^{4k}\) is always 1 so the units digit of this is 2.
Also I think 2^2^1000 +1 is what you mean, if that is it, then the units digit of \(2^{4k}\) is always 6 so the units digit of this is 7
