15,420 divided by 20 =

Answer and Step-by-step explanation:

Solution:

Given:

Let A is the event of a person over 50 diagnosed by health service.

B1 is the event that an adult over 50 actually has diabetes.

B2 is the event that an adult over 50 does not have diabetes.

P (B1) = 8% = 0.08

And P (B2) = 1 – P (B1)

                  = 1 – 0.08

                  = 0.92

Correctly diagnose of all persons with diabetes= 95%

P (A/B1) = 0.95

Incorrectly diagnose of all persons without diabetes=   2%

P (A/B2) = 0.02

(a) ) the community health service will diagnose an adult over 50 as having diabetes.

P (B1) P (A/B1) = (0.08) (0.95) = 0.076

P (B2) p (A/B2) = (0.92) (0.02) =0.0184

P (B1) P (A/B1) + P (B2) p (A/B2) =  0.076 + 0.0184

                                                     = 0.0944

(b)  A person over 50 diagnosed by the health service as having diabetes actually has the disease.

By using formula:

P (B1/A) = P (B1) P (A/B1) / P (B1) P(A/B1) + P (B2) P (A/B2)

Put all the given values:

= (0.08) (0.95) / (0.08) (0.95) + (0.92) (0.02)

=0.076 / 0.076 + 0.0184

=0.076 / 0.0944

= 0.8050

Using conditional probability, it is found that there is a:

a) 0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.

b) 0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.

Conditional Probability

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

In which

Item a:

The percentages of a positive test is:

Hence:

[tex]P(A) = 0.95(0.08) + 0.02(0.92) = 0.0944[/tex]

0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.

Item b:

From item a, [tex]P(A) = 0.0944[/tex].

The probability of both a positive test and having the disease is:

[tex]P(A \cap B) = 0.95(0.08)[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.08)}{0.0944} = 0.8051[/tex]

0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.

A similar problem is given at https://brainly.com/question/14398287

Answer:

92052.73599

Step-by-step explanation:450,137,879 divded by 4,890 you'll get 4,890

Answer:

2 to the power of 7

Step-by-step explanation:

add the powers when it is multiplication

Answer:

3:5

Step-by-step explanation:

take the biggest common factor which would be 6 in this case, and just divide the two out by that. 3:5

Answer:

$206.9

Step-by-step explanation:

Answer:

1) x = 3/2  2)  x = 6  3) x = 3

Step-by-step explanation:

For Number 1:

4(x+8)−4=34

Step 1: Simplify both sides of the equation.

4(x+8)−4=34

(4)(x)+(4)(8)+−4=34(Distribute)

4x+32+−4=34

(4x)+(32+−4)=34(Combine Like Terms)

4x+28=34

Step 2: Subtract 28 from both sides.

4x=6

Step 3: Divide both sides by 4.

4x/4 = 6/4

x = 3/2

For Number 2:

2/3(9+x)=−5(4−x)

Step 1: Simplify both sides of the equation.

6 + 2/3x = −20+5x

Step 2: Subtract 5x from both sides.

−13 /3 x+6=−20

Step 3: Subtract 6 from both sides.

-13/3x = -26

Step 4: Multiply both sides by 3/(-13)

x = 6

For Number 3:

−3(x+4)+15=6−4x

Step 1: Simplify both sides of the equation.

−3(x+4)+15=6−4x

(−3)(x)+(−3)(4)+15=6+−4x(Distribute)

−3x+−12+15=6+−4x

(−3x)+(−12+15)=−4x+6(Combine Like Terms)

−3x+3=−4x+6

−3x+3=−4x+6

Step 2: Add 4x to both sides.

−3x+3+4x=−4x+6+4x

x+3=6

Step 3: Subtract 3 from both sides.

x+3−3=6−3

x = 3

Answer:

x=12

Step-by-step explanation:

collect the x stuff on one side

2/3 x + 1/6 x = 9 + 1

5/6 x = 10

x = 12

Answer:

x=12

Step-by-step explanation:

first, you need to get the variable to one side

the easiest way to do it and not deal with negatives would be this way:

2/3x - 1 = 9 - 1/6x

+1/6x            +1/6x           in order to do this you must first convert the 2/3 to 4/6

to then get

5/6x - 1 = 9

then solve it like normal

5/6x - 1 = 9

       +1     +1

5/6x = 10

/ 5/6   /5/6

x=12

Answer:

The answer is A because A has 9 zeroes behind 3.5

EF = JK

FG = KL

LJ = GE

Here you go.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]18 {c}^{3} - 50c = 0 [/tex]

[tex]2c(9 {c}^{2} - 25) = 0 [/tex]

[tex]2c(3c + 5)(3c - 5) = 0[/tex]

_________________________________

[tex]2c = 0[/tex]

[tex]c = 0[/tex]

_________________________________

[tex]3c + 5 = 0[/tex]

[tex]c = - \frac{5}{3} \\ [/tex]

_________________________________

[tex]3c - 5 = 0[/tex]

[tex]c = \frac{5}{3} \\ [/tex]

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The only zero of the equation 0=18c³−50c is c = 0, as it makes the equation true when substituted.

value is a zero of the equation 0 = 18c³ - 50c,

putting in the value for c

If c = 0:

0 = 18(0)³ - 50(0)

0 = 0 - 0

0 = 0 (True)

If c = 2:

0 = 18(2)³ - 50(2)

0 = 18(8) - 100

0 = 144 - 100

0 = 44 (False)

If c = -1:

0 = 18(-1)³ - 50(-1)

0 = 18(-1) + 50

0 = -18 + 50

0 = 32 (False)

only c = 0 is a zero of the equation 0 = 18c³ - 50c.

The equation 0 = 18c³ - 50c has only one zero, which is c = 0, as it satisfies the equation when substituted.

learn more about equation here

brainly.com/question/33622350

#SPJ2

Answer: p = 4n

Step-by-step explanation:

To find the perimeter of a shape, you need to add the length of the 4 sides. A square's 4 sides are equal. Therefore, you add n+n+n+n which is the same as 4n.

Answer:

P = n4

Step-by-step explanation:

in order to find the perimeter of an object you must add up all the sides. since we are dealing with a square all the sides are n. so in conclusion, 4 times n would you get you the perimeter, P.

Answer:

C. -3

Step-by-step explanation:

First, you would subtract 2m on both sides in the first equation, to get 6m = -6. Since you wan to find 3m, just divide -6 by 2 to get -3.

Step-by-step explanation:

has 3 (sig figs) and 5 decimals. see the additional (+) and subtraction (-) round by the last number of decimals or use scientific no ( e.g. 1.000 x 10^3 or 1.000e3)

Answer:

C. -8x-104=6x-14

Step-by-step explanation:

–8(x + 13) = 2(x – 7) + 4x

-8x-104=2x-14+4x

-8x-104=6x-14

Answer:

0.000000093

Step-by-step explanation:

Theres seven zeros after the decimal

Answer:

Jared is 14 years old

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total student=50

35 -> j.

25 -> r.

16-> j.+r.

35-16=19 students joined j.

25-16=9 joined r.

50-19+9

50-28=22

Awnser is 22

It will be nice if you give me brainliest. Good luck!

Answer:

27

Step-by-step explanation:

The area of the triangle is 30.9 square units.

We have,

From the figure,

Height = Distance between (-2, 6) and (-2, 0).

Base = Distance between (-2, 0) and (7, -5).

To find the distance between two points in a Cartesian coordinate system, use the distance formula:

Distance = [tex]\sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]

Height:

Distance = √((-2 - (-2))² + (0 - 6)²)

Distance = √(0² + (-6)²)

Distance = √(0 + 36)

Distance = √36

Distance = 6

Base:

Distance = √((7 - (-2))² + (-5 - 0)²)

Distance = √((7 + 2)² + (-5)²)

Distance = √(9² + (-5)²)

Distance = √(81 + 25)

Distance = √106

Distance ≈ 10.3

Now,

The area of the triangle.

= 1/2 x base x height

= 1/2 x 10.3 x 6

= 10.3 x 3

= 30.9 square units

Thus,

The area of the triangle is 30.9 square units.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ4

Answer:

2/121, 1/121

Step-by-step explanation:

Problem 1:

We have the following letters in the bag:

P R O B A B I L I T Y

There is a total of 11 letters.

If we select B, we have a 2/11 chance to get it. If we then replace it and select A, we have a 1/11 chance to select it.

Thus we have a (2/11) * (1/11) chance to get that combination,

Which is 2/121.

---------------------------------------------------------------------------------

Problem 2

We have the following letters in the bag:

P R O B A B I L I T Y

There is a total of 11 letters. If we select P, we have a 1/11 chance to get it. If we then replace it and select L, we have a 1/11 chance to select that.

Thus we have a (1/11) * (1/11) chance to get that combination,

Which is 1/121.

Answer:

A' (2, -1)

Explanation:

The object's point A has a coordinate of (-2, 4).

The translation rule states that you:

- Add the x coordinate by 4 (x + 4)

- Subtract the y coordinate by 5 (y - 5)

Substitute the rule to point A's coordinate (x = -2 and y = 4).

(-2 + 4 , 4 - 5) = (2, -1)

Notice that the image's point A has moved four steps to the right and down by five steps from the original object.

Answer:

A is the Answer.

Step-by-step explanation:

You multiply x with 2x ( Gives you 2x^2 ) then -1 with 2x ( Gives you -2x ) then -8 with x ( Gives you -8x ) then -1 with-8 ( Gives you +8 ), finally you add the two x's ( not x^2 ). Your fibal answer will be 2x^2 - 10x +8.

Hope this helps.

Answer:

nucleic acid

Step-by-step explanation:

Answer:

90×0.7

Step-by-step explanation:

I think this is the correct answer.

100-30=70

70=0.7

Answer:   c

Step-by-step explanation:

Based on the percent breakdown of 360%.

100% 100% 100% 20%20%20%

15.       15.      15.    3.     3.     3.

100% is all of it, so 15. This is x.

20% of it would be calculated as 0.2 x 15 or 3. This is y.

Answer:

c

Step-by-step explanation: