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1 year ago

Determine if the statement is possible(p) or impossible(i).

Mathematics

1 answer:

Nastasia [14]1 year ago

5 0

Answer: Yes, it's possible

Step-by-step explanation:

53+118+9=180

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400 Suppose a particular surveillance system has a 99% chance of correctly identifying a future terrorist and a 99.8% chance of

alexgriva [62]

Answer:

1.236 × 10^(-3)

Step-by-step explanation:

Let A be the event that the person is a future terrorist

Let B the event that the person is identified as a terrorist

We are told that there are 1,000 future terrorists in a population of 400 million. Thus, the Probability that the person is a terrorist is;

P(A) = 1000/400000000

P(A) = 0.0000025

P(A') = 1 - P(A)

P(A') = 1 - 0.0000025

P(A') = 0.9999975

We are told that the system has a 99% chance of correctly identifying a future terrorist. Thus; P(B|A) = 0.99

Thus, P(B'|A) = 1 - P(B|A)

P(B'|A) = 1 - 0.99

P(B'|A) = 0.01

We are told that there is a 99.8% chance of correctly identifying someone who is not a future terrorist. Thus; P(B'|A') = 0.998

Hence: P(B|A') = 1 - P(B'|A')

P(B|A') = 1 - 0.998

P(B|A') = 0.002

We want to find the probability that someone who is identified as a terrorist, is actually a future terrorist. This is represented by: P(A|B)

We can find it from bayes theorem as follows;

P(A|B) = [P(B|A) × P(A)]/[(P(B|A) × P(A)) + (P(B|A') × P(A')]

Plugging in the relevant values;

P(A|B) = [0.99 × 0.0000025]/[(0.99 × 0.0000025) + (0.002 × 0.9999975)]

P(A|B) = 0.00123597357 = 1.236 × 10^(-3)

8 0

3 years ago

4x+4=2/3 (3x +9) - 18 solve for x

omeli [17]

Answer:

= − 8

Step-by-step explanation:

6 0

3 years ago

Mrs Li's classroom is 34 feet wide and 42 feet long. Objects in classroom Mrs. Li's Desk, Fish Tank, Math Center, or Reading Cen

sveticcg [70]

Answer:

multiply length with breadth which is 34 *42

3 0

2 years ago

Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest number of p

Nady [450]

For this case we have the following type of equations:
Quadratic equation:
$y = ax ^ 2 + bx + c
$
Linear equation:
$y = mx + b
$
We observe that when equating the equations we have:
$ax ^ 2 + bx + c = mx + b
$
Rewriting we have:
$ax ^ 2 + (b-m) x + (c-b) = 0
$
We obtain a polynomial of second degree, therefore, the maximum number of solutions that we can obtain is 2.
Answer:
The greatest number of possible solutions to this system is:
c.2

7 0

3 years ago

Read 2 more answers

Which percent is equivalent to the fraction 7/50 ?

taurus [48]

14% because 7/50 divided by 100 equals 14.

5 0

3 years ago

Read 2 more answers