Whats the value of x? 2−(3x−4)=2x−9

We're given

P(has disease) = 0.001

P(positive test | has disease) = 0.95

P(negative test | does not have disease) = 0.90

(a) By the law of total probability,

P(positive test) = P(positive test AND has disease) + P(positive test AND does not have disease)

Recall that the probability of an event A conditioned on another event B is

P(A | B) = P(A AND B) / P(B)

so that

P(positive test) = P(positive test | has disease) * P(has disease) + P(positive test | does not have disease) * P(does not have disease)

P(positive test) = 0.95 * 0.001 + (1 - 0.90) * (1 - 0.001)

P(positive test) ≈ 0.10

(b) From the definition of conditional probability, we hvae

P(A | B) = P(A AND B) / P(B) = P(B | A) P(A) / P(B)

so that

P(has disease | positive test) = P(positive test | has disease) * P(has disease) / P(positive test)

P(has disease | positive test) = 0.95 * 0.001 / 0.10

P(has disease | positive test) ≈ 0.0094

The probability will be "0.017699".

Given:

Incident rate,

                   [tex]= 0.999[/tex]

Now,

→ [tex]P(\frac{N}{D'} ) = 1-P(\frac{N'}{D'} )[/tex]

             [tex]= 1-0.95[/tex]

             [tex]= 0.05[/tex]

then,

→ [tex]P(\frac{D}{N} ) = \frac{Pr(D)\times P(\frac{N}{D} )}{P(N)}[/tex]

or,

            [tex]= \frac{Pr(D)\times P(\frac{N}{D} )}{P(D) \ P(\frac{N}{D} )+P(D') \ P(\frac{N}{D'} )}[/tex]

By substituting the above values, we get

            [tex]= \frac{0.001\times 0.9}{0.001\times 0.9+0.999\times 0.05}[/tex]    

            [tex]= \frac{0.0009}{0.0009+0.04995}[/tex]

            [tex]= \frac{0.0009}{0.05085}[/tex]

            [tex]= 0.017699[/tex]

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Answer:

h = 3.75

Step-by-step explanation:

Step 1: Write equation

2.5/6 = h/9

Step 2: Solve for h

Step 3: Check

Plug in h to verify it's a solution.

2.5/6 = 3.75/9

0.416667 = 0.416667

Answer:

h = 3.75

Step-by-step explanation:

Given

[tex]\frac{2.5}{6}[/tex] = [tex]\frac{h}{9}[/tex] ( to solve for h, cross- multiply )

6h = 22.5 ( divide both sides by 6 )

h = 3.75

Answer:

4.485

Step-by-step explanation:

 [divide 17 by 4]

  [  ]

Now, Midpoint of  4.25 and 4.472 =

Number between 4.25 and 4.472 =4.485

Or number between  and  is 4.485.

Answer:

Step-by-step explanation:

let the time taken to get back be x

so that the time needed to go is (x-2)

we know that speed= distance/time

therefore the speed for the return is 24 km/h.

distance (return)= 24*x

distance (return)=24x

therefore the speed to the station is 40 km/h.

distance (return)= 40*(x-2)

distance (return)=40x-80

We know that the distance is the same

24x=40x-80

24x-40x=-80

16x=80

divide both sides by 16

x=5

the time taken to get back is x=5hours

the time taken to is x-2=(5-2)= 3hours

the total trip takes 3+5= 8hours

Answer:

Step-by-step explanation:

Given f(x) = 2x²+16

g(x) = √5x³

First is to get the composite function f(g(x))

f(g(x)) = f(√5x³)

To get f(√5x³), we will replace x in f(x) with √5x³ as shown:

f(√5x³) = 2(√5x³)²+16

f(√5x³) = 2(5x³)+16

f(√5x³) = 10x³+16

Hence f(g(x)) = 10x³+16

f(g(x)) will be the function of amount earned by Raul for the total number hour he works

Answer:

10x^3 dollars/hour

Step-by-step explanation:

Answer:

urmom

Step-by-step explanation:

GAY

Answer:

A hope this helps

Step-by-step explanation:

Answer:

A...

Step-by-step explanation:

hope this helps you

Option B is correct.

We have the two equations -

[tex]y= 2x^{2}[/tex]

[tex]y=2x^{2} +7[/tex]

We have determine how are these functions related and how are their graphs related.

A parabola is represented by the equation y = [tex]$x^{2}[/tex].

According to the question, we have -

[tex]y= f(x) = 2x^{2}[/tex]

[tex]y=g(x)=2x^{2} +7[/tex]

Refer to the image attached for graphs.

Now -

g(x) - f(x) = [tex]2x^{2} +7-2x^{2}[/tex] = 7

Therefore -  Each output for y = g(x) is greater than the corresponding output of y = f(x).

From the graph it is clear that the graph of y = g(x) is the graph of

y = f(x) translated up 7 units.

Hence, Option B is correct.

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Answer:

[tex]y=-(x-2)^2-3[/tex]

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The graph provided in the question has two clear points:

The vertex, located at (2,-3)

The y-intercept, located at (0,-7)

Substituting the coordinates of the vertex, the equation of the function is:

[tex]y=a(x-2)^2-3[/tex]

The value of a will be determined by using the other point:

[tex]-7=a(0-2)^2-3[/tex]

Operating:

[tex]-7=a(4)-3[/tex]

[tex]4a=-4\Rightarrow a=-4/4[/tex]

Solving:

a=-1

The equation of the graph is:

[tex]y=-(x-2)^2-3[/tex]

Answer:

The answer is below

Step-by-step explanation:

a) Let negative means the turtle position when descending and positive for going up. Therefore since the turtle was 850 meters below see level, it was at -850. It then moves 165 meters up, hence its new position is -685 meters (-850 + 165). Lastly it moves down 165 meters, hence its new position is -850 meters (-685 - 165)

b) The change in position is the sum of the movements = +165 - 165 = 0 meters.

Answer:

300 divided by 6

Step-by-step explanation:

Given that;

Number of crates of apple owned by fruit seller  = 3 crates

Number of apples in each crate  = 100 apples

He packed 6 apples in 1 box;

Unknown:

Number of boxes needed to pack all the apples = ?

This problem is pretty straight forward;

  Number boxes needed to pack all apples  = [tex]\frac{Number of crates owned by fruit seller x number of apples per crate}{Number of apples per box}[/tex]

Input the parameters and solve;

       Number of boxes need to pack all apples  = [tex]\frac{100 x 3}{6}[/tex]   = [tex]\frac{300}{6}[/tex]

So the solution is 300 divided by 6

Answer:1383478.4

Step-by-step explanation:The answer is 1383478.4 and i dont think it can be simplify

Answer:

x = z+y/c+m

Step-by-step explanation:

Answer:

21.4 * 10^(-5)

[tex]\\ \sf\longmapsto 2.14\times 10^{-5}[/tex]

[tex]\\ \sf\longmapsto 0.214\times 10^{-4}[/tex]

[tex]\\ \sf\longmapsto 0.0214\times 10^{-3}[/tex]

[tex]\\ \sf\longmapsto 0.00214\times 10^{-2}[/tex]

[tex]\\ \sf\longmapsto 0.000214\times 10^{-1}[/tex]

[tex]\\ \sf\longmapsto 0.0000214[/tex]

Answer:

i cant see the blue

Step-by-step explanation:

                       .  

Answer:

x = 8

Step-by-step explanation:

Given

3(x + 1) + 6 = 33 ( subtract 6 from both sides )

3(x + 1) = 27 ( divide both sides by 3 )

x + 1 = 9 ( subtract 1 from both sides )

x = 8

Answer:

hmmmmmmmm

Step-by-step explanation:

yea i really dont know

Answer:

area=[(a+b)/2]*h

Step-by-step explanation:

a= longer base length

b= shorter base length

h= height of trapezoid

Answer:

1215

Step-by-step explanation:

Answer:

the answer is 1215 :D

Step-by-step explanation:

Answer:

Select the plain line in the Insert Shapes group. Place your cursor where you want a tick mark on your line, hold the "Shift" key, and drag to create a vertical mark. Holding the Shift key ensures a straight line.

Step-by-step explanation:

Answer:

15 boys

Step-by-step explanation:

There are 27 students. The number of girls is only 4/5 of the number of boys. I started by splitting the class. 14 boys and 13 girls doesn't work, so I changed it to 12 and 15. If it was 12 girls and 15 boys, the girls would have 4/5 of the boys, so it must be 12 girls and 15 boys.

Answer:

$6.56

Step-by-step explanation:

First, take 8 and divide it by 100. Then you have 0.08. multiply that by 9. You get 0.72, that is how much the price increases every year. multiply that by 2, and you get 1.44. subtract 1.44 from 8, and you are left with $6.56, the price it was two years ago.

Answer:

last year it was 150

Step-by-step explanation:

last year =100 ; increase= 30

total =130

130=195

100= 195/130=150

Answer:

x = -3/2, 1

Step-by-step explanation:

1. Use Rule of One

2. Take out the constants

3. Simplify 6/3 to 2

4. Use the product rule

5. Simplify

6. Move all terms to one side

7. Simplify

8. Split the second term

9. Factor out the common terms

10. Factor out the common term (again)

11. Solve for x

Answer:

[46.6]

Step-by-step explanation:

Absolute value has no negatives.

Answer:

789x86=8u

Step-by-step explanation:

Answer:commutative property

Step-by-step explanation:

Step-by-step explanation:

Kx = u - y

Divide both sides by k

X = u - y

K

I think that's the answer

Hope it helps:)

Answer:

61,56

Step-by-step explanation:

1 = 3,24 so 3,24 x 19 = 61,56