Recall Euler's theorem: if , then
where is Euler's totient function.
We have - in fact, for any since and share no common divisors - as well as .
Now,
where the are positive integer coefficients from the binomial expansion. By Euler's theorem,
so that
Answer:
If he spins a spinner with 5 equal sections they have equally likely probability of 20%
If he rolls a fair die in the shape of pyramid with 4 sides each side has probability of 25%
If he rolls a fair die in the shape of cube with 6 sides each side has probability of 16.7
Total number of outcomes = 5 * 6 * 4 = 120
The formula for density of an object is Density=
First you plug in the information you already know. 163.5=
Now you have to solve for the mass so you multiply 0.492 by 163.5
Lastly, you simplify and you will get 80.44. Hope this helped :)