Answer:
The 38th term of 459,450,441,.. will be:

Step-by-step explanation:
Given the sequence

An arithmetic sequence has a constant difference 'd' and is defined by

computing the differences of all the adjacent terms

so

The first element of the sequence is

so the nth term will be


Putting n=38 to find the 38th term




Therefore, the 38th term of 459,450,441,.. will be:

Answer:
1.971
Step-by-step explanation:
7.211 - 5.24 = 1.971
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.
Answer:
2 x^4
Step-by-step explanation:
Recall that the GCF is the greatest of the product of factors that are common to all these three expressions
then for the pure numerical part, the factor common to 50, -10 , and 2 is "2"
and for the variable part x^4 is the largest common to all three expressions.
Therefore the GCF is: 2 x^4
180 is the area and the length is 1.25 so we need to find the width. We need to divide 180/1.25 which is 144.
144*1.25 is 180
The width is
144