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:
1/3
Step-by-step explanation:
The scale factor is the ratio of image lengths to original lengths. For this pair of figures, the scale factor is ...
A'B'/AB = 2/6 = 1/3
The scale factor is 1/3.
Answer:
-6x and 5x are like terms.
-9 is a constant.
-2y is a term
Answer:
Number of guests: 8, 12, 20, 56, 40
Number of tables: 2, 3, 5, 7, 5
Answer:
y=7/9x+17/9
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-2))/(4-(-5))
m=(5+2)/(4+5)
m=7/9
y-y1=m(x-x1)
y-(-2)=7/9(x-(-5))
y+2=7/9(x+5)
y=7/9x+35/9-2
y=7/9x+35/9-18/9
y=7/9x+17/9