what is the volume of a cylinder with a diameter of 10 and a height of 4

Answer:

0.0748 = 7.48% probability that he is guilty

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tests indicates guilty

Event B: Person is guilty

Probability that the test indicates that the person is guilty:

4/5 = 0.8 of 1/100 = 0.01(person is guilty)

1 - 0.9 = 0.1 of 1 - 0.99(person is not guilty). So

[tex]P(A) = 0.8*0.01 + 0.1*0.99 = 0.107[/tex]

Test indicates guilty and the person is guilty;

0.01 of 0.8. So

[tex]P(A \cap B) = 0.01*0.8 = 0.008[/tex]

What is the probability that he is guilty?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.008}{0.107} = 0.0748[/tex]

0.0748 = 7.48% probability that he is guilty

The required value is [tex]\simeq0.925 \ or \ 92.5[/tex]%.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.

Let [tex]T_G[/tex] and [tex]T_I[/tex] denote the test result being guilty or innocent respectively.

And, [tex]G[/tex] and [tex]I[/tex] denote that the person is guilty or innocent respectively.

Given that: [tex]P\left ( T_G\mid I \right )=\frac{4}{5}[/tex]

[tex]P\left ( T_I\mid I \right )=\frac{9}{10}\Rightarrow P\left ( T_G\mid I \right )=1-\frac{9}{10}=\frac{1}{10}[/tex]

[tex]P(G)=\frac{1}{100} \\ \therefore P(I)=1-P(G) \\ =1-\frac{1}{100} \\ =\frac{99}{100}[/tex]

Now, the required probability is,

[tex]P(I\mid T_G)=\frac{P\left ( T_G\mid I \right )\times P(I)}{P(T_G\mid I)\times P(I)+P\left ( T_G\mid G \right )\times P(G)}[/tex]

              [tex]=\frac{\frac{1}{10}\times\frac{99}{100}}{\left ( \frac{1}{10}\times \frac{99}{100}\right )+\left ( \frac{4}{5}\times\frac{1}{100} \right )} \\ =\frac{0.099}{0.099+0.008} \\ =\frac{0.099}{0.107} \\ =0.92523 \\ \simeq 0.925 \\ or \ 92.5%[/tex]

Learn more about the topic of Probability:  brainly.com/question/26959834

Answer:

n = 10

Step-by-step explanation:

From the question,

nC6 = nC4

n!/6!(n-6)! = n!/4!(n-4)!

Simplifying n! out of the equation

⇒ 1/6!(n-6)!  = 1/4!(n-4)!

Crossmultiplying

4!(n-4)! = 6!(n-6)!

4!(n-4)! = 6×5×4!(n-6)!

(n-4)! = 30(n-6)!

(n-4)(n-5)(n-6)! = 30(n-6)!

⇒ (n-4)(n-5) = 30

n²-4n-5n+20 = 30

n²-9n+20-30

n²-9n-10 = 0

Solving the quadratic equation,

n-10n+n-10 = 0

(n-10n)+(n-10) = 0

n(n-10)+1(n-10) = 0

(n+1)(n-10) = 0

Either

n+1 = 0

n = -1

or

n-10 = 0

n = 10

n canot be a negative value,

Therefore, n = 10

Answer: x = 12

Step-by-step explanation:

First, we have to add 4 on both sides of the equation to combine like terms:

3х – 4 (+4) = 8 (+4) + 2х

3x = 12 + 2x

Now we subtract 2x on both sides of the equation, which leaves x by itself:

3x (-2x) = 12 + 2x (-2x)

x = 12

Answer:

I dont know

Step-by-step explanation:

Answer: 132

Step-by-step explanation:

Answer:

132 m

Step-by-step explanation:

[tex]C = \pi \: d = \frac{22}{7} \times 42 = 132 \: m \\ [/tex]

Answer: -15

Step-by-step explanation:

First, calculate exponents.

-3 * -3 is 9.

Then multiply 2 and 9 which is 18.

3-18 is -15.

Answer:

triangle B is the reflection of triangle A across the x-axis

Answer:

c. (x +3)(x + 1)

Step-by-step explanation:

Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,

[tex]x^2 +4x +3[/tex]

Can be represented as the product of the following,

[tex](x+3)(x+1)[/tex]

To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,

[tex](x+3)(x+1)\\[/tex]

Distribute,

[tex](x)(x)+(1)(x)+(3)(x)+(3)(1)[/tex]

Simplify,

[tex]x^2 +x +3x + 3\\[/tex]

[tex]x^2 +4x +3[/tex]

 1.215 This is the answer

It is divided by 105

Answer:

1.215

Step-by-step explanation: did this same question

Answer:

$440

Step-by-step explanation:

40 x 11 = your answer 440

Answer:

15 hours

so, 8 x y = 120

Step-by-step explanation:

[tex]8\sqrt{120} =[/tex] 15

Answer:

p=6/5

Step-by-step explanation:

p=6/5 or 1.2 or (1 and 1/5)

Steps

Switch sides of equation

Divide both sides by 5

Simplify

Add 2 to both sides

Answer:

for what ? put your question completely

Answer:

x = 28

Step-by-step explanation:

Angles on a straight line = 180°

4x + 3 + 2x + 9 = 180

4x + 2x + 3 + 9 = 180

6x + 12 = 180

6x = 180 - 12

6x = 168

6x/6 = 168/6

x = 28

Answer:

y=1 and x = 2

Step-by-step explanation:

Given equations are :

2x-2y = 2 ....(1)

5x+2y= 12 .....(2)

Adding equation (1) and (2),

2x+5x = 2+12

7x = 14

x = 2

Put the value of x in equation (!).

2(2)-2y = 2

4-2y=2

2=2y

y=1

So, the values of x and y are 2 and 1 respectively.

9514 1404 393

Answer:

Step-by-step explanation:

A graphing calculator answers these questions easily.

The ball achieves a maximum height of 40 ft, 1 second after it is thrown.

__

The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.

  h(t) = -16(t^2 -2t) +24

  h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square

  h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form

Compare this to the vertex form:

  f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'

We see the vertex of our height equation is ...

  (h, k) = (1, 40)

The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.

Answer:

x = 5

Step-by-step explanation:

[tex]\frac{3}{x}[/tex] = [tex]\frac{4.5}{7.5}[/tex]

cross multiply

4.5x = 7.5(3)

4.5x = 22.5

Divide

x = 5

Answer: thats a good question

Step-by-step explanation:

Answer: he will add 2/8 more so it can be full.

Step-by-step explanation: you divide 2/8 by 5/8 and you'll get 1/8.

please give me brainlest

Answer:

This one ?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

since -6 and -6 are factors of 36 that add up to equal -12, the factored form of the expression is (x-6)^2.

Answer:

c=a2+b2=62+42≈7.2111

don't know if this is what

you are looking for but...

Answer:

∠Q = 105°

Step-by-step explanation:

(6x + 5) + (11x - 5) + x = 180°

combine like terms:

18x = 180°

x = 10°

∠Q = 11(10) -5 = 105°

Answer:

1. mCD is equal to 84 degrees.

2. I believe that RPT would be equal to approximately 51 feet. I think I am right, but I am not 100% sure. I used formula though.

Step-by-step explanation:

1. In order to find the measure of CD, you would find the measure of AD and CD, because they add to 180, and from there you can take the answer, which will be the x value, and plug it back into measure CD's equation.

1. Add the equations of mAD and mCD and set them equal to 180, because together on the graph they add to 180 degrees, which is a semi-circle.  

19x-49+5x+37=180

24x-12=180

2. Solve.

24x-12=180

24x=168

x=7

3. Plug x back into mCD and find the answer!

19(7)-49=84

mCD= 84 degrees!

2. Arc Length Formula

2[tex]\pi[/tex]r degrees/360

2pi (14) 208/360≈51

Answer:

1.835

Step-by-step explanation:

use pythagoras theorem to find missing side

use sin to find missing angle

missing side/13 = 1.835

Answer:

ok I would give answer that is 85.5mi^2

Answer: one

Step-by-step explanation:

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Answer: Yes because of x^2

Explanation:

I hope this helped!

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