Answer: the variance of the winnings from this raffle is 162.7
Step-by-step explanation:
Given that;
X P( X=x ) xP(x) x²P(X)
10 0.095 0.95 9.5
20 0.045 0.9 18
50 0.020 1.0 50
100 0.010 1.0 100
0 0.830 0.0 0
TOTAL 1 3.85 177.5
therefore the variance will be;
Var(X) = [ ∑(x²) - [∑(X)]² ]
so we substitute
Var(X) = [ 177.5 - (3.85)² ]
= [ 177.5 - 14.8225 ]
= 162.6775 ≈ 162.7
therefore the variance of the winnings from this raffle is 162.7
Answer: 2048
Step-by-step explanation: u have to multiply each term by 4
answer:
the 4 is in the hundreds place
step-by-step explanation:
this is how i figured this out-
since the 2 is in the one's place and the 3 in the tenths place that makes the 4 in the hundreds place
also if you take 432 as its own number, the 4 is also in the hundreds place
:)
!
Step-by-step explanation:
................ N.....
Step-by-step explanation:
you know, a single side cannot be longer than the other 2 sides combined.
otherwise, the triangle cannot "close".
so, it starts with 12 cannot be longer than 5 + n.
therefore, n must be at least 7.
and n cannot be longer than 5+12 = 17
7 and 17 I would normally rule out a well, because in these cases the triangle would just be a flat line, when the 3rd side is as long as the other 2 combined.
so, in reality for a real, visible triangle, the range of valid values is 8 .. 16.
that is 9 positive integer values.