Answer:
I'd say that is an "occupancy problem".
I ran a spreadsheet simulation of that and I'd say the probability is approximately .13
Those problems are rather complex to solve. What I think you would have to do is calculate the probability of
A) ZERO sixes appearing in 4 rolls.
B) exactly 1 six appears in 4 rolls.
C) exactly 2 sixes appear in 4 rolls.
D) exactly 3 sixes appear in 4 rolls. and
E) exactly 4 sixes appear in 4 rolls.
4 rolls of a die can produce 6^4 or 1,296 combinations.
A) is rather easy to calculate: The probability of NOT rolling a six in one roll is 5/6. In 4 rolls it would be (5/6)^4 = 0.4822530864
E) is fairly easy to calculate: The probability of rolling one six is (1/6). The probability of rolling 4 sixes is (1/6)^4 = 0.0007716049
Then we need to:
D) calculate how many ways can we place 3 objects into 4 bins
C) calculate how many ways can we place 2 objects into 4 bins
B) calculate how many ways can we place 1 objects into 4 bins
I don't know how to calculate D C and B
Step-by-step explanation:
Answer: 1. What are the focus and directrix of a parabola? Parabolas are commonly known as the graphs of quadratic functions. They can also be viewed as the set of all points whose distance from a certain point (the focus) is equal to their distance from a certain line (the directrix).
2.The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle.
Step-by-step explanation:
The correct answer would be -21.63 and +21.63
Answer:
The initial amount, A is approximately $19,991.1.
Step-by-step explanation:
The initial amount the man invests in the bank = A
The amount the man deposits after 15 years = $10,000
The amount in the account after 50 years = $251,894.21
The amount of money after every 15 years = 2 × Initial amount
Therefore, we have;
The amount in the account 15 years after when the man deposits another $10,000 = 2 × A
Therefore the initial amount at the 15th year = 2·A + 10000
The
We have;
2·A = A·(1 + r)¹⁵
(1 + r)¹⁵ = 2
1 + r = 2^(1/15)
r = 1 - 2^(1/15) = 0.04729412282
Therefore, we have;
On the 50th year, 50 - 15 = 35 year
$251,894.21 = (2·A + 10000)·(1 + 0.04729412282)³⁵
A = ($251,894.51/((1 + 0.04729412282)³⁵) - 10000)/2 ≈ $19991.1
The initial amount, A ≈ $19991.1.
Answer: the answer I got was p(x)=2x5-4
Step-by-step explanation:
