Answer:
30/441
Step-by-step explanation:
6/21 chance to draw nickel on the first one. since you dont replace coins, there is a 5/20 chance of drawing a dime on the next one.
6/21x5/20= 30/441
We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form:
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:

Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:

Answer: L ≈ 2.0 m
Step-by-step explanation:
Lsin40 = h
Lsin55 = h + 0.35
Lsin55 = Lsin40 + 0.35
Lsin55 - Lsin40 = 0.35
L(sin55 - sin40) = 0.35
L = 0.35 / (sin55 - sin40)
L = 1.98452 ≈ 2.0 m
1 Year: 19
2 Years: 9.50
3 Years: 4.75
4 Years: 2.38 (2.375, but rounded)
Answer:
the answer is 56
Step-by-step explanation: