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:
Tim is 12 years
Step-by-step explanation:
Given that Zac is 18 years old and Tim's age is 2/3 Zac's age, to compute Tim's age, we would multiply Zac's age with the fraction.
Such that;
Tim's age = 2/3 * 18
= 2* 18/3
= 2 * 6
= 12 years
Hence Tim is 12 years old.
<h3>
Answer:</h3>
25°
<h3>
Step-by-step explanation:</h3><h3>
</h3>
<em>Angles in a circle add up to 360°</em>
5a + (a + 60) + (2a + 100) = 360
5a + 3a + 160 = 360
5a + 3a = 8a
8a + 160 = 360
<em />
<em>Make a the subject</em>
8a + 160 = 360
8a = 200
200 ÷ 8 = 25°
Have a great day <3
Answer:
the third one
Step-by-step explanation:
because if we calcul Δ
we get a negative number