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: 24 oz to lbs = 1.5 lbs in 24 oz. 32 oz to lbs = 2 lbs in 32 oz. 64 oz to lbs = 4 lbs in 64 oz.
Step-by-step explanation:
In 65 oz there are 4.0625 lb.
Which is the same to say that 65 ounces is 4.0625 pounds.
Answer:
87: y = 5
88: y = 0
89: y = -2
90: y = -1/2x + 9
91: y = 2x - 16
92: y = x - 11
Step-by-step explanation:
To find the slope(m): (y1 - y2)/(x1 - x2)
To find the y-intercept:
y = mx + b
Replace m with the slope and x and y with one of the sets of coordinates. Then simplify to get the y-intercept. Use the equation y = mx + b and replace m with the slope and b with the y-intercept to get the equation.
(Sorry if this is a little confusing.)
Yes it does the line will gradually increase
Answer:
He has 420 liters of paint.
Step-by-step explanation:
all you have to do is add 110 = 310