Answer:
The trial are not dependent
Step-by-step explanation:
The following four conditions must be met before Binomial probability experiment can be define, they are:
[1]. Each trial is independent, [2]. the trial must have two outcomes that is failure or success, [3]. fixed number of trials and [4]. success probability for each trial is the same.
Thus, the number of ways to choose the positions for success is given in equation (1) below as:
P(x) = n Cₓpˣ [1 - p]ⁿ⁻ˣ. ----------------------------------------------------------------------(1).
Where n-x = failure and 1 - p = probability and x = success.
For this question, three of the conditions mentioned above are met except for condition number one. This is so because the events are dependent. Therefore, the binomial condition that is not met is Each trial is independent.
<em>NB: Why the events are dependent is because if the each husband divorce his wife, then the wife is also divorced. </em>
18/35 is halfway between 3/5 and 5/7. Do you want me to explain or just the answer?
Answer:
16 v^3 w^7
Step-by-step explanation:
Simplify the following:
4 v^3 w (-2 w^3)^2
Hint: | Distribute exponents over products in (-2 w^3)^2.
Multiply each exponent in -2 w^3 by 2:
4 v^3 w×(-2)^2 w^(2×3)
Hint: | Multiply 2 and 3 together.
2×3 = 6:
4×(-2)^2 v^3 w w^6
Hint: | Evaluate (-2)^2.
(-2)^2 = 4:
4×4 v^3 w w^6
Hint: | Combine products of like terms.
4 v^3 w×4 w^6 = 4×4 v^3 w^(1 + 6):
4×4 v^3 w^(1 + 6)
Hint: | Evaluate 1 + 6.
1 + 6 = 7:
4×4 v^3 w^7
Hint: | Multiply 4 and 4 together.
4×4 = 16:
Answer: 16 v^3 w^7
Answer:
It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.
Step-by-step explanation:
Use the formula for continuous compounding
where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.
(this formula can be beautifully derived from just basic considerations, btw)
We are given t=5, and percent increase on the initial P, so we can solve for r
It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.
Step-by-step explanation:
a = 2 + 3a + 8
a = 10 + 3a
a - 3a = 10
-2a = 10
a = -5