In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will eventually commit a crime. The government is deciding whether to rely on the clairvoyant Precogs to stop the criminals before they commit the crime. If a person is going to commit a crime, the Precogs identify that person correctly 99.999% of the time (in other words, the Precogs fail to predict crime only in 0.001% of the cases). If a person is not going to commit a crime, the Precogs identify that person as law-abiding 99.99% of the times (in other words, the Precogs convict innocent people only in 0.01% of the cases). What is the probability that a person flagged as a future criminal by the Precogs will actually commit a crime

Answers

Answer 1

Answer:

0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Flagged as future criminal

Event B: Commits a crime.

In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will eventually commit a crime.

This means that [tex]P(B) = \frac{100}{1000100} = 0.00009999[/tex]

If a person is going to commit a crime, the Precogs identify that person correctly 99.999% of the time

This means that [tex]P(A|B) = 0.99999[/tex]

Probability of being identified as a criminal:

0.99999 out of 0.00009999(identified and commits crime).

(1-0.99999) out of (1-0.00009999) (identifed and does not commits crime). So

[tex]P(A) = 0.99999*0.00009999 + (1-0.99999)*(1-0.00009999) = 0.000109988[/tex]

What is the probability that a person flagged as a future criminal by the Precogs will actually commit a crime

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.00009999*0.99999}{0.000109988} = 0.9091[/tex]

0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime


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Step-by-step explanation:

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Answer:

"I can find the maximum or minimum by looking at the factored expression of a quadratic function by reading off its roots and taking the arithmetic average of them to obtain the [tex]x[/tex]-coordinate of the quadratic function, and then substituting that value into the function."

Step-by-step explanation:

Because of the symmetry of quadratics (which is the case here because we have two factors of degree 1, so we are dealing with a polynomial of degree 2, which is a fancy way of saying that something is a quadratic), the [tex]x[/tex]-coordinate of the extremum (a fancy way of saying maximum or minimum) is the (arithmetic) average of the two roots.

In the factored form of a quadratic function, we can immediately read the roots: 3 and 7. Another way to see that is to solve [tex](x-3)(x-7)=0[/tex], which gives [tex]x-3=0 \vee x-7=0[/tex] (the 'V' stands for 'or'). We can take the average of the two roots to get the [tex]x[/tex]-coordinate of the minimum point of the graph (which, in this case, is [tex]x=\frac{3+7}{2} = \frac{10}{2} = 5[/tex]).

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help its pre algebra

Answers

Answer:

Burger = $15

Hot Dog = $10

Step-by-step explanation:

b=35-2h

4(b-2h)+6h=120

4(35-2h)+6h=120

140-8h+6h=120

140-2h=120

-2h=120-140

-2h=-20

h=10

b=35-2h = 35-20 = 15

Answer what you can. You don’t have to show your work but please do.

Answers

Answer:

I'll help with the first 2

(  12/4x7-18=

12/4=3

3x4=12

12-18= -6  )

(  8[tex]{2}[/tex] - 22/2x7=

8x2=16

22/2=11

11x7=77

16-77= -61  )

Step-by-step explanation:

PEMDAS

P-(  ) Parenthesis

E- Ex[tex]x^{2}[/tex]  (Exsample-2[tex]{2}[/tex] = 2x2=4 )

M=Multiplication X

D-Division

A-Add +

S-Subtraction

I need to write fractions as mixed numbers 36/6 20/10 15/8 13/6​

Answers

36/6 = 6

20/10 = 2

15/8 = 1 7/8

13/6 = 2 1/6

Hope this helped!

Answer:

6, 2, 8 7/8, 2 1/3

Step-by-step explanation:

36/6 represents a division: 36 divided by 6

answer: 6

20/10 also division: 20 divided by 10

answer: 2

15/8 also division (long division...) 15 divided by 8

you will have a remainder (that will become your numerator)

the decimal of that division is 1.875 as a fraction that is a mixed number:

8 AND 875/1000  but!! you are not done yet (that fraction has to be simplified)

If you divide the fractional portion by the greatest common factor (125) you can simplify your fraction to 8 7/8

13/6 is 13 divided by 6 = 2 with a remainder of 2 = 2 2/6 simplified = 2 1/3

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Answers

C.) The independence of the two ice machines means that knowing how much one machine fills does not help us predict how much the other fills.

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Answers

Step-by-step explanation:

The correct answer is 237

Answer:257

Step-by-step explanation:

A movie theater charges $12.00 for adults and $4.50 for children under the age of ten. A group of adults and children went to the movies and spent $75.00 on 10 tickets. How many adults and how many children went to the move?

Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

Width times Length = the area

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Answer:

w=2.4ft

Step-by-step explanation:

x - 4y = 1 and 3x + 2y = -11. What is the solution to the system of equations?

Answers

Answer:

x=-3 y=-1

Step-by-step explanation:

The solution is

The value of x = -3

The value of y = -1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be = A

Now , the value of A is

x - 4y = 1   be equation (1)

Let the first equation be = B

Now , the value of B is

3x + 2y = -11   be equation (2)

Now , on simplifying both equations , we get

Multiply equation (1) by 3 , we get

3x - 12y = 3   be equation (3)

Subtracting equation (2) from equation (3) , we get

-12y - 2y = 3 - ( -11 )

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Divide by -14 on both sides of the equation , we get

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x = -3

So , the value of x = -3

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To learn more about equations click :

https://brainly.com/question/19297665

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hhjjjjkkkdaa vhjkkjddgj hjkjcgh

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Answers

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Answer:

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Step-by-step explanation:

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__

The formula for the account balance from interest compounded semiannually at annual rate r for t years is ...

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Answers

9514 1404 393

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Use Photomath it will help

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Step-by-step explanation:

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