Answer:
Expected value: $5.20
Step-by-step explanation:
2(0.35)+4(0.2)+6(0.1)+8(0.2)+10(0.15)=5.2, so you can expect to win $5.20 in this game.
Need more info about the 3 younger siblings
He least common multiple would be 8 times 7.
Answer:

Step-by-step explanation:
Recall the negative angle identity for the sine function:
Then, we can find the value of
:

Now recall the definition of the tangent function:

Therefore, now that we know the value of
, we can solve in this equation for 

To be divisible by 63, it must be divisible by both 7 and 9, since 7x9 = 63. Factor the expression, simplify, and see if both 7 and 9 are factors, which would make it divisible by both 7 and 9. (163 - 83)(43 + 23) = [(24)3 - (23)3] [(22)3 + 23] = (212 - 29)(26 + 23) = [29(23 - 1)] [23(23 + 1)] = [29(8 - 1)] [23(8 + 1)] = 29(7) 23 (9) = 63(212) It is a multiple of 63, and hence divisible by 63.