At the beginning of a study of individuals, 10% were classified as heavy smokers, 20% were classified as light smokers, and 70% were classified as nonsmokers. In the five-year study, it was determined that the death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively. A randomly selected participant died over the five-year period: calculate the probability that the participant was a nonsmoker.

Answers

Answer 1

Answer: 0.39

Step-by-step explanation:

Given the following classification :

Heavy smokers (H) = 10%

Light smokers (L) = 20%

Non smokers (N) = 70%

Given that :

The death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively

Let probability of death = D

P(D | N) = d

P(D | H) = 5d

P(D | L) = 3d

Hence,

P(D) = [P(H) * P(D | H) + P(L) * P(D | L) + P(N) * P(D | N)]

P(D) = [0.1 * 5d + 0.2 * 3d + 0.7 * d]

P(D) = [0.5d + 0.6d + 0.7d]

P(D) = 1.8d

A randomly selected participant died over the five-year period: calculate the probability that the participant was a nonsmoker.

P(N | D) = [P(N) * P(D | N)] / P(D)

P(N | D) = 0.7d / 1.8d

P(N | D) = 0.3888

= 0.39


Related Questions

The 2 in 1,703,298 has _______________ the value of the 2 in 3,932,574.

Answers

Answer:

1/10

Step-by-step explanation:

The value of 2 in 1,703,298 is 200.

The value of 2 in 3,932,574 is 2,000.

2,000 divided by 200 is 10.

Therefore, the 2 in 1,703,298 has 1/10 the value of the 2 in 3,932,574.

Answer:

1 tenth or 10%

Step-by-step explanation:

The 2 in the first number is in the hundreds place (200) but the 2 in the second number is thousands place(2000)

200/2000=0.1 or 10%

Hope this helps! Plz award Brainliest : )

30 POINTS!!! Jade decided to rent movies for a movie marathon over the weekend. The function g(x) represents the amount of money spent in dollars where x is the number of movies. Does a possible solution of (6.5, $17.50) make sense for this function? Explain your answer.

Yes. The input and output are both feasible.

No. The input is not feasible.

No. The output is not feasible.

No. Neither the input nor output is feasible.

Answers

Answer:

B. No the input is not feasible

because you cannot rent 6,5 movies  :p

Answer:

No, the input is not feasible.

Step-by-step explanation:

I took the test, and got it right, the other dudes logic is sound as well.

Define the remainder theorem

Answers

the answer would be the first one

Owen's parents were planning a big birthday party for him.

They spent $150 to rent a bounce house for 8 hours. How much is the hourly rate for the rental?

Answers

Answer:

18.75/ hour

Step-by-step explanation:

Simply divide 150 by 8.

Point P(3,1) lies on the directed line segment LM. the endpoints are L(-2,-4) and M(x,y). What are the coordinates of point M such that LP is 4/5 distance from L to M need help

Answers

Answer:

3/5

Step-by-step explanation:

Identify the vertex of each.
2) y = 2x² + 24x + 75

Answers

There would be no x intercepts (I think)

And the y intercept would be (0,7)

So the vertex would be (-6,3)

A patient's temperature was recorded at 9 a.m., 11 a.m., 4 p.m. and 6 p.m. The first, second, and fourth readings were 112° F, 68° F and 85° F, respectively. If the average of the four readings was 84.75° F,
what was the third reading?

Answers

Answer:

74°F

Step-by-step explanation:

In order to find the average of a certain amount of numbers, you add those numbers together and divide by how many numbers there are. In this case, you would reverse that method to find the last number. We know that there were four readings, and we have three of them and the average. Multiply the average (84.75) by the number of readings (4), and you get the sum of all the readings (339). Then you subtract each of the readings that you already know to isolate the last reading. 339 - 112 (first reading) = 227, 227 - 68 (second reading) = 159, and 159 - 85 (fourth reading) = 74. Therefore, the third reading must be 74.

For the toy drive 7 students each collected the same number of toys. They collected 14 toys in all. How many toys did each student collect

Answers

Answer:

They each collected 2.

Step-by-step explanation:

14 toys divided by 7 students equals 2. To check your work, 7 x 2 = 14

Find the value of x- pls help

Answers

Answer:

35.2

Step-by-step explanation:

Help help I need help help which one

Answers

The number 25w^9x^6 - 4 is not factorable.


10. Paul can run 2 miles in 30 minutes. At this rate, how many miles can he run
in 150 minutes?


Answers

The answer is 5 hope this helps have a good day

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write 12/32 in simplest form.

Answers

Step-by-step explanation:

12/32 in simplest form

First both have the table of 4 in common

3/8

Then we cannot divide it further so this is the simplest form

6. As part of their employee benefits, all workers at Light and Power Electric Company
receive a pension that is calculated by multiplying the number of years worked
times 1.875% of the average of their three highest years' salaries. Mia has
worked for LPEC for 30 years and is retiring. Her highest salaries were
$92,000, $94,800, and $96,250. Calculate Mia's pension.

Answers

Answer:

  $1769.06

Step-by-step explanation:

The sum of Mia's three highest salaries is ...

  $92,000 +94,800 +96,250 = $283,050

so the average is ...

  $283,050/3 = $94,350

Her pension is then ...

  0.01875 × $94,350 = $1769.06

_____

Additional comment

This is equivalent to the total of those salaries, divided by 160.

  T/3 × 0.01875 = T × (0.01875/3) = T × 0.00625 = T/160

Sometimes, there are simpler ways to calculate things like this.

Translate and solve: 783% of what number is 47,763?

Answers

Answer:

6,100

Step-by-step explanation:

7.83n= 47,763

Now, we can solve for n by dividing both sides by 7.83 and simplifying.

n=6100

The average person drinks 3.4 pints in a day . How many gallons is that in a week

Answers

Answer:

2.975 gallons a week

Last week Jerry ran 18 miles less than Tom. Jerry ran 35 miles. How many miles did Tom run?

Answers

Answer: Tom ran 53 miles
Tom ran 53 miles.

Jerry ran 35 (18 less than Tom)
35 + 18 = 53!

Convert 6 1/4 into an improper fraction

Answers

Answer:

25 over 4

Step-by-step explanation:

Improper fraction for the given mixed fraction is

[tex]\frac{25}{4}[/tex]

Given :

We are given with mixed fraction .

Convert the mixed fraction into an improper fraction

Given mixed fraction is [tex]6 \frac{1}{4}[/tex]

To convert it in to improper fraction , multiply the whole number 6 by the denominator 4  and then add the numerator .

[tex]6 \frac{1}{4} \\ \frac{6 \cdot 4 +1}{4} \\ \frac{25}{4} \\[/tex]

The improper fraction for the given mixed fraction is

[tex]\frac{25}{4}[/tex]

Learn more : brainly.com/question/17655079

What is n?
6/5 = n/15

Answers

Answer:

n = 18

Step-by-step explanation:

[tex] \frac{6}{5} = \frac{n}{15} [/tex]

Cross multiply and simplify

[tex]6 \times 15 = 5 \times n \\ 90 = 5n[/tex]

Divide both sides of the equation by 5

[tex] \frac{90}{5} = \frac{5n}{5} [/tex]

Simplify : Cross cancel common factor: 5

[tex]18 = n \\ n = 18[/tex]

Answer:

n=18

Step-by-step explanation:

hope this helps.

plzzz brainliest

3/8 + 1/8 - 1/7 + 1/4 =

Answers

Answer:

0.60714285714

Tina's Beauty Salon charges $10 per haircut. If the salon has 52 visitors seeking haircuts per day, estimate
how much Tina would make in 5 days by rounding the number of visitors to the nearest ten.
Group of answer choices

$50

$2500

$500

$250

Answers

Answer:

2500

Step-by-step explanation:

$10 times 52 is $520 a day so multiply 520 times 5 and you get $2600 so round that and it is $2500

A town has a population of 2000 and grows at 4% every year write an equation to represent the scenario​

Answers

Answer: [tex]P=2000(1.04)^t[/tex].

Step-by-step explanation:

It is given that,

Initial population of a town = 2000

Growth rate = 4% = 0.04 per year

The exponential growth function for population is

[tex]P=P_0(1+r)^t[/tex]

where, [tex]P_0[/tex] is initial population, r is growth rate and t is number of years.

Substitute [tex]P_0=2000,r=0.04[/tex] in the above equation.

[tex]P=2000(1+0.04)^t[/tex]

[tex]P=2000(1.04)^t[/tex]

Therefore, the required equation is [tex]P=2000(1.04)^t[/tex], where P is population after t years.

What is the distance between (3, 5.25) and (3, –8.75)?

Answers

Answer:

The answer is

14 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3, 5.25) and (3, –8.75)

The distance between them is

[tex]d = \sqrt{ ({3 - 3})^{2} + ({5.25 + 8.75})^{2} } \\ = \sqrt{ {0}^{2} + {14}^{2} } \\ = \sqrt{196} \: \: \: \: \: \: \: \: \: \: \\ = 14 \: \: \: \: \: \: [/tex]

We have the final answer as

14 units

Hope this helps you

Find the equation of the line that passes through the point (5, -4) and is perpendicular to the line y=1/4x - 2 .

Answers

Answer:

The equation of the line is:

[tex]y = -4\,x +16[/tex]

Step-by-step explanation:

A line perpendicular to the given one is going to have a slope equal to the opposite of the reciprocal of 1/4. That is the slope of the new line will be "-4".

Now we write the point-slope form for a line using the info provided of slope -4 and point (5, -4):

[tex]y-y_0=m\,(x-x_0)\\y - (-4) = -4 \,(x-5)\\y+4 = -4\,x +20\\y = -4\,x +16[/tex]

Answer:

y = -4x + 16

Step-by-step explanation:

For questions like this, I would first find the slope of the line that we are trying to find the equation for. To do this, I would use the line y = 1/4x - 2 and find the slope of a line that would be perpendicular to it. Taking the negative reciprocal of the slope of y = 1/4x - 2 will do just that.

By looking at the equation y = 1/4x - 2, we can see that the slope of the line is 1/4. The negative reciprocal of 1/4 would be -4, which would be the slope of the line whose equation we are trying to find.

Since we have a point on the line, and we now have the slope of the line, we can now make an equation for the line in point-slope form:

y + 4 = -4(x - 5)

Now while this is an equation for the line, lets try to get it into slope-intercept form:

y + 4 = -4(x - 5)

Distribute the -4 on the right side of the equation.

y + 4 = -4x + 20

Subtract 4 from both sides.

y = -4x + 16

And now we have the equation of the line in slope-intercept form.

I hope you find my answer helpful.

Let x represent an unknown number. Write an equation that represents the given statement. Then find the value of the unknown number.
Eleven less than seven times a number is -4. Find the number.
Part: 0/2
Part 1 of 2
An equation that represents the given statement is
D=D
5

Answers

Hey there! I'm happy to help!

If something is 11 less, we are subtracting 11.

-11

We have 11 less than seven times a number x.

7x-11

The word is means equals.

7x-11=-4

Now we need to isolate the x. We add 11 to both sides.

7x=7

We divide both sides by 7.

x=1.

Have a wonderful day! :D

What is the reflection of an object referred to

Answers

Answer:

It's image

Step-by-step explanation:

Refraction of light and particles

Considering you put the topic as “mathematic”. I assume you meant the reflection of a graph. In a graph, there will be an x-axis and a y-axis. A reflection is just the image being reflected upon one of the axis.

Ex. If there is a square, and you were told to reflect it into the y-axis, you would flip it into the other side of the vertical line. Hope this helps!

Find the volume of the solid under the plane 3x+2y−z=0 and above the region enclosed by the parabolas y=x^2 and x=y^2.

Answers

The region in the x-y plane is the set of points

[tex]R=\{(x,y)\mid0\le x\le 1,x^2\le y\le\sqrt x\}[/tex]

The height of the solid falls between the x-y plane (for which z = 0) and the equation of the plane, z = 3x + 2y.

So the volume is

[tex]\displaystyle\int_0^1\int_{x^2}^{\sqrt x}\int_0^{3x+2y}\mathrm dz\,\mathrm dy\,\mathrm dx[/tex]

[tex]=\displaystyle\int_0^1\int_{x^2}^{\sqrt x}(3x+2y)\mathrm dy\,\mathrm dx[/tex]

[tex]=\displaystyle\int_0^1(3x^{3/2}+x-3x^3-x^4)\,\mathrm dx[/tex]

[tex]=\displaystyle\frac65+\frac12-\frac34-\frac15=\boxed{\dfrac34}[/tex]

PLEASE HELP!!!

Compare the ratios to determine which ratio is greater by cross multiplying. Which ratio is greater?

Can you also please explain?

Answers

Step-by-step explanation:

It wants u to cross and multiply so what i would do is put both of them together and multiply across and when u get the answers that u multiply u then divide to see what was the lowest and what the greatest ratio was so for me i would gi with a

5a - 15 = 20 ...……......

Answers

a = 7 is the answer add 15 to both sides than divide by 5
Yup the answer is 20

Tell which set or sets the number 16 belongs​ to: natural​ numbers, whole​ numbers, integers, rational​ numbers, irrational​ numbers, or real numbers

Answers

Answer:

yellow :)

Step-by-step explanation:

Answer:

natural numberswhole numbersintergers

Paul has $20,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest and part at 12% interest. How much does Paul need to invest in each option to make get a total 11% return on his $20,000?

Answers

Answer:

In the 8% option , $5,000 should be invested

In the 12% option, $15,000 should be invested

Step-by-step explanation:

Let’s start with the total return.

Since the total return expected is 11%, the amount expected to be returned will be;

11/100 * 20,000 = $2,200

Now, let the amount invested at 8% interest be $x while the amount invested at 12% interest be $y

Mathematically;

x + y = 20,000 ••••••(i)

Now let’s work with the interest part;

On the 8% part, amount of interest expected is 8/100 * x

on the 12% part, amount of interest expected is 12/100 * x

8% of $x + 12% of $y = 2,200

Writing this fully mathematically, we have;

(8/100 * x) + (12/100 * y) = 2,200

8x/100 + 12y/100 = 2,200

Multiply through by 100

8x + 12y = 220,000 ••••••(ii)

Now we have two equations to solve simultaneously;

x + y = 20,000

8x + 12y = 220,000

From i, x = 20,000-y

Substitute this into ii

8(20,000-y) + 12y = 220,000

160,000-8y + 12y = 220,000

4y = 220,000 - 160,000

4y = 60,000

y = 60,000/4

y = $15,000

x = 20,000 -y

x = 20,000 - 15,000

x = $5,000

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