Answer:
x = y
Step-by-step explanation:
Given x : y = 2 : 3
Express the ratios as a fraction, that is
= ( cross- multiply )
3x = 2y ( divide both sides by 3 )
x = y
3 to the power of 5 to the power of 2-3 to the power of 0 is 9 because 3 to the power of 0 is one and 2 minus one is one and 2 to the power of one is two and 3 to the power of 2 is 9
Answer:
150
Step-by-step explanation:
The terms in the sequence form an arithmetic sequence with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , thus
2 + 3(n - 1) = 449
2 + 3n - 3 = 449
3n - 1 = 449 ( add 1 to both sides )
3n = 450 ( divide both sides by 3 )
n = 150
Your expected value is -$0.62.
We multiply the probability of winning by the amount won. There are 12 face cards out of 52 cards, and the amount won is 4:
12/52(4)
We also multiply the probability of losing by the amount lost. There are 40 cards that are not face cards out of 52, and the amount lost is 2:
40(52)(-2)
Adding these, we have:
(12/52)(4)-(40/52)(2) = -0.62.
Isn't it just 5.96? There's no simpler form than that