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.
Set the two equation equal to each other to solve for x. Angles are acute because they are less than 90 degrees.
Answer:
12.1875 or 195/16 or 12 3/16
Step-by-step explanation:
All you must do is multiply them by each other
hope this helps
Answer:
The teacher can purchase 61 pencils with $5
Step-by-step explanation:
This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas
It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083
With $5 she will be able to purchase 5/0.08083=61.85 pencils
We must round to the nearest lower integer
The teacher can purchase 61 pencils with $5
There are a total of 32 problems.
Assumed all 32 problems are 3 points questions ⇒ 32 x 3 = 96 points.
The test is worth 111 points, so there is an extra of 111-96 points = 15 points.
The difference in points in the 2 type of questions is 4 - 3 = 1 points.
Number of 4 points questions = 15 ÷ 1 = 15.
Number of 3 points questions = 32 - 15 = 17.
Answer: There are 17 3-points questions and 15 4-points questions.
