Answer:
0.999987
Step-by-step explanation:
Given that
The user is a legitimate one = E₁
The user is a fraudulent one = E₂
The same user originates calls from two metropolitan areas = A
Use Bay's Theorem to solve the problem
P(E₁) = 0.0131% = 0.000131
P(E₂) = 1 - P(E₁) = 0.999869
P(A/E₁) = 3% = 0.03
P(A/E₂) = 30% = 0.3
Given a randomly chosen user originates calls from two or more metropolitan, The probability that the user is fraudulent user is :
![P(E_2/A)=\frac{P(E_2)\times P(A/E_2)}{P(E_1)\times P(A/E_1)+P(E_2)\times P(A/E_2)}](https://tex.z-dn.net/?f=P%28E_2%2FA%29%3D%5Cfrac%7BP%28E_2%29%5Ctimes%20P%28A%2FE_2%29%7D%7BP%28E_1%29%5Ctimes%20P%28A%2FE_1%29%2BP%28E_2%29%5Ctimes%20P%28A%2FE_2%29%7D)
![=\frac{(0.999869)(0.3)}{(0.000131)(0.03)+(0.999869)(0.3)}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%280.999869%29%280.3%29%7D%7B%280.000131%29%280.03%29%2B%280.999869%29%280.3%29%7D)
![\frac{0.2999607}{0.00000393+0.2999607}](https://tex.z-dn.net/?f=%5Cfrac%7B0.2999607%7D%7B0.00000393%2B0.2999607%7D)
![\frac{0.2999607}{0.29996463}](https://tex.z-dn.net/?f=%5Cfrac%7B0.2999607%7D%7B0.29996463%7D)
= 0.999986898 ≈ 0.999987
Answer:
It is VERY important to use the attached formula.
Years = ln (Total / Principal) / rate
Years = ln (6,000 / 2,000) / rate
Years = ln (3) / rate
Years = 1.0986122887 / .015
Years = 73.24 years
This takes a LONG time because the interest rate is extremely low.
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
Because they are equal triangles, all of their sides are equal
so, lets take one side of each triangle (4, 5)
the law:
the scale factor = the larger side ÷ the smaller side
x = 5 ÷ 4
x = 1.25
For checking:
the larger side = the smaller side × the scale factor
Y = 4 × 1.25
Y = 5
Answer:
added in picture
Step-by-step explanation:
added in picture
Answer:
x+2
Step-by-step explanation:
x and 2
And means add
x+2