Answer:
Step-by-step explanation:
(a) 3 of the 6 numbers on the die are even, so the probability that one of them will show is 3/6 = 1/2.
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(b) 2 of the 6 numbers on the die are less than 3, so the probability that one of them will show is 2/6 = 1/3.
3/196
Step-by-step explanation:
multiply everything
If they were 19& people at the pool what is the percentage 16.9
Answer:
y= 2x - 19/3
Step-by-step explanation:
6x-3y=19
3y=6x-19
y=2x- 19/3
slope: 2
y-intercept: -19/3
When
, we have


and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)
Suppose this is true for
, that

Now for
, we have

so we know the left side is at least divisible by
by our assumption.
It remains to show that

which is easily done with Fermat's little theorem. It says

where
is prime and
is any integer. Then for any positive integer
,

Furthermore,

which goes all the way down to

So, we find that

QED