Answer:
(a) 0.9412
(b) 0.9996 ≈ 1
Step-by-step explanation:
Denote the events a follows:
= a person passes the security system
= a person is a security hazard
Given:

Then,

(a)
Compute the probability that a person passes the security system using the total probability rule as follows:
The total probability rule states that: 
The value of P (P) is:

Thus, the probability that a person passes the security system is 0.9412.
(b)
Compute the probability that a person who passes through the system is without any security problems as follows:

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.
Number 4. will be a. because if you do 7*9=63*10=630.
3/4 is the correct answer
Answer:
the value of output is 29
Step-by-step explanation:
the output variable y is 12 less then the input variable x.
Input variable is x, output variable is y
output values = input variable - 12
now plug in the variable in the equation
output values = input variable - 12

Given the input value is 41
Substitute 41 for x

the value of output is 29
Answer:
A. 6n+6.25 = 48.25
Step-by-step explanation:
$48.25 Money to spend
Each class costs $6 plus
one time $6.25
N= # of classes
So
6= slope rise over run
48.25 is total
6.25 is the y-intercept First time payment
u only pay once
48.25=6n+6.25