An insurer knows that the proportion of smokers in a population is 0.3. Furthermore, it is known that: 40% of applicants who are smokers say they do not smoke on their applications. None of the non-smoking applicants are lying on their application.
Calculate what is the probability that one of the applicants says that he does not smoke, and that in fact do not smoke.

Answers

Answer 1
Answer: Approximately 0.8537

===================================================

Explanation:

Let's say this population had 1000 people. You can pick any number you want, but I'm going for some nice big round number to work with.

The proportion of smokers is 0.3, which means 0.3*1000 = 300 people in this population are smokers and 1000-300 = 700 are nonsmokers.

Of the 300 people who do smoke, 40% of them lie on the application. This means 0.40*300 = 120 people lied. These 120 people say they don't smoke, but in fact they do smoke.

So if we were to survey this population, then 700+120 = 820 people would say they don't smoke

Only considering the people who write "don't smoke" on the survey, which is that 820 figure, 700 of them are true nonsmokers. Therefore, the probability we want is 700/820 = 0.8537 approximately


Related Questions

PLEASE HELP!! QUESTION IS IN IMAGE

Answers

Answer:

false and then true

Step-by-step explanation:

Hope this helps :)

Answer:

First one is False, second one is true.

Step-by-step explanation:

For the first one, the left side of the equation would equal -6/3, and the left side would be 3/-6. When simplified it would be: -2 = -1/2, which is incorrect.

For the second one, the left side and the right side are the same because either way you put it, they are still being multiplied, and the order doesn't matter. The end result will be -72 = -72, which is correct.

I hope this helps!! :>

The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 184 feet,
what is the area of the garden in square feet?

Answers

Answer:

23

Step-by-step explanation:

divide 184 by 8 to find the answer

What is x in this problem ?

Answers

Answer:

is it just -12

because -12 +122 = 110

Write the numbers in order from least to greatest.
6.03 , 6 2/5, 6.2, 6 1/3

Answers

6.03 -> 6.2 -> 6 1/3 -> 6 2/5

good luck !! :)

F(x) =?. Vertex is (2,-4) the other given point is (1,-2)

Answers

Given the vertex, (2, -4) as the minimum point, and that it is an upward-facing parabola that passes point (1, -2):

We could substitute these values into the vertex form of the quadratic function,

f(x) = a(x - h)^2 + k

where:

(h,k) is the vertex

The axis of symmetry is the vertical line x = 2

The value of “a” determines whether the graph opens up or down, and makes the parent function wider or narrower.

The value of “h” determines how far left or right the parent function is translated.

The value of “k” determines how far up or down the parent function is translated.


Now that we’ve established these definitions, we can substitute the given values into the vertex form:

f(x) = a(x - 2)^2 - 4

In order to determine the value of “a”, we must substitute the values of the other given point, (1, -2) into the equation:

f(x) = a(x - 2)^2 - 4

-2 = a(1 - 2)^2 - 4

-2 = a(-1)^2 - 4
-2 = a - 4

Add 4 to both sides to solve for “a”

-2 + 4 = a - 4 + 4
2 = a

Now that we have the value of a = 2, we can establish our quadratic function in vertex form:

f(x) = 2(x - 2)^2 - 4


I’m also including a screenshot of the graph of the function we came up with.


Please mark my answers as the Brainliest if you find my explanations helpful :)

HELP ME PLEASE!!! answer 1, 5, and 6. It’s similar figures and drawing scales. It’s due so please!!!! I am begging it’s this third time I’m asking. I am going to cryyy

Answers

the answer to number 6 is 12 because if you divide the actual height by the scale is 7 (21 divided by 3) and then divide the 84 by 7 bc that’s the scale factor it equals 12

Can you please help me with #4-#5?I don't know how to find the answer.​

Answers

Answer:

Step-by-step explanation:

4:C(X) = 17x - 10, the first question wants you to find how much 5 ticket costs, so replace x with 5 so c(x)= 17(5)-10 which equals 75$

4a: 4a wants you to find how many tickets you can buy for  130$. So first replace the y or c(x) with 130 x, which gives 130=17x-10. Now we find x, first add 10 to both sides to cancel the -10, 140=17x, then divide 17 from both sides which gives 8.235, so we can buy 8 tickets.

4b: It is discreet because it cannot be broken down into decimals or fractions, since you cannot have a halve of a ticket.

4c: c(0) means the y-intercept

4d: the range is  7 to positive infinite

5:

x    y

0   -10

1    7

2   24

3   41

4   58

5  75

Answer:

♡ The first answer is correct

♡ Please mark them BRAINIEST

♡ Hope this helps

♡ Have a beautiful day

Step-by-step explanation:

Alicia is 7 years old. She is 1 year older than
one-eighth the age of her father. How old is
Alicia's father?

Answers

alicia's father is 48 years old

6*8= 48

Can you write down the days of the week with the number "500" next to them for me. Make this 2 times thank you :)

Answers

Answer:

my day is going very sad so please sir l am try to improve my self help me

The lines 5x+2y=14 and y=-5x+9 are?
A: Parallel
B: Perpendicular
C: Neither
Please Help lol

Answers

Answer: neither

Step-by-step explanation:

2y=-5x+14/2

y = -5/2 x + 7

m=-5/2

y=-5x+9

m=-5

5x+2y=14
y=-5x+9
So it would be b perpendicular

During his vacation, Dalyn rents a small boat from a rental service that charges a flat fee of $60 plus $20 per hour (including taxes). The total charge comes to $100. which equation can be used to calculate the number of hours, X, that Dalyn rents the boat?

Answers

Answer:

6 hours

Step-by-step explanation:

(100 - 40) ÷ 10 = Amount of Hours

= 6 Hours.

Hope this helps.

¿Cuáles de estas estrategias eliminan una variable en el sistema de ecuaciones?

−7x+2y=5
3x−5y=−5

a) Suma las ecuaciones.
b) Multiplica por 555 la primera ecuación, multiplica por 222 la segunda ecuación, luego suma las ecuaciones.
c) Multiplica por 333 la primera ecuación, multiplica por 777 la segunda ecuación, luego suma las ecuaciones.

Answers

Answer:

Multiplica la primera equation por 5 y la segunda por 2, sumas y eliminas las y.

10y - 10y = 0

También, multiplicas la primera equation por 3 y la segunda por 7, sumas y eliminas las x

-21x + 21x = 0

Step-by-step explanation:

steve baked 5 1/2 batches of cookies in one and one half hours. Vondra baked 3 1/3 batches of cookies in 11/12 hour. Which baker made cookies at a greater rate of batches per hour?

Answers

Answer:

Step-by-step explanation:

Steve 11/2 batches / 3/2 hrs = 11/2(2/3) = 11/3 = 3 2/3 = 3 22/33 batches/hr

Vondra 10/3 batches / 11/12 hr = 10/3(12/11) = 120/33 = 3 21/33 batches/hr

Steve had a very slightly faster batch rate by only 1/33 batch/hr

HELPPP PLZZ GIVING 40 BRAINLEIST AWAYYY

Answers

Answer:

Proportional relationship:

y = kx

Use a pair of points (0.14, 0.7) to find the value of k:

0.7 = 0.14kk = 0.7/0.14k = 5

The function is:

y = 5x

Fill in the table:

x = 3.1 ⇒ y = 5*3.1 = 15.5x = 2.5 ⇒ y = 5*2.5 = 12.5x = 1.2 ⇒ y = 5*1.2 = 6x = 0.9 ⇒ y = 5*0.9 = 4.5y = 0.3 ⇒ x = 0.3/5 = 0.06y = 0.1 ⇒ x = 0.1/5 = 0.02

Y+12=y-20
Solve for y

Answers

Hello! I got the answer no solution, which the symbol for that is Ø

Answer:

No solution

Step-by-step explanation:

y + 12 = y - 20

=> y = y - 20 - 12

=> y - y = -32

=> No solution

Which values are solutions to the inequality -3x - 4< 2? Check all of the boxes that apply.
-4
-2
0
3

Answers

Answer:

-3x-4<2

Step-by-step explanation:

it would end up being 3

Find the slope and y-intercept for this table.​

Answers

Answer:

Slope is -5 and y-intercept is 90.

Step-by-step explanation:

Use the two values that you circles (4, 70) and (6, 60) .

slope (m) = the change in y-value/ (the change in the x-values).

m = (70 - 60)/(4 - 6) = 10/-2  = -5

The y-intercept is the value of "b" in the equation y = mx + b.

 Using  y = mx + b,  substitute the value m and use point of your points (4, 70).

   y = mx + b

   70 = -5(4) + b     Now solve for "b".

  70 = -20 + b

 +20 = +20      

   90 = b

Give on f(x) = 2x + 9 if f(x)= 15 find x

Answers

Answer:

x = 3

Step-by-step explanation:

Set both equations equal to each other and solve.

2x + 9 = 15

2x = 6

x = 3

Help please …………….urgent :)

Answers

Answer:

The speed of the boat in still water is 12 miles per hour, while the speed of the current is 9 miles per hour.

Step-by-step explanation:

We'll use x as the speed of the boat in still water in miles per hour.

We'll use y as the speed of the current in miles per hour.

When the boat is traveling downstream, the speed of the boat is helped by the speed of the current and the net speed is x + y.

When the boat is traveling upstream, the current opposes the movement of the boat, and the net speed is x - y.  

Using a table where d = distance in miles, r = rate or speed in miles per hour, and t = time in hours can help figure out how to figure out this problem.

─────────────────

Downstream│210│(x + y)│10

Upstream│210│(x - y)│70

─────────────────

Recall that distance = rate x time or d = rt.

210 = (x + y)10 ➤ Equation from downstream information.

210 = (x - y)70 ➤ Equation from downstream information.

210 = 10x + 10y ➤ Distribute.

210 = 70x - 70y ➤ Distribute.

7 × 210 = 7 × 10x + 7 × 10y ➤ Multiply the 1st equation by 7.

1470 = 70x + 70y ➤ Add the 1st equation to the 2nd.

210 =70x - 70y ➤ Add the 1st equation to the 2nd.

1680 = 140x

─────────────────

1680/140 = 140x/140

x = 12

210 = (12 + y)10 ➤ Substitute x = 12 into one of the original  equations to find y.

210 = 120 + 10y

-120 - 120

90 = 10y

90/10 = 10y/10

y = 9

this is a calculation, please answer me

Answers

Answer:

0is the answer just guessing

PLEASE HELP!!!!!
will mark brainliest!!!!!

Answers

Answer:

2, 5, 9, 10

Step-by-step explanation:

add 2 to the x value to find the f(x) value

hi guys can someone help me whit this question is for tommorow for my is so difficult . The exercise talks about math sets. It is: give three examples of sets A and B such that AU(union)B=B​

Answers

Answer:

(i) A = {1}, B = {1, 2}, (ii) A = empty set, B = {1, 2, 3}, (iii) A = {a, b, c}, B = {a, b, c}, (iv)  A = {7, 8, 9, 10}, B = {7, 8, 9, 10, 11, 12}

Step-by-step explanation:

The idea: A U B = the set of all elements (from a Universal set, like the set of all integers) that are in at least one of the sets A or B.  So, for the equation     A U B = B to be true, the set A must be a subset of the set B, because otherwise  A U B would contain at least one element not in B, making the equation A U B = B false (set B would be a proper subset of A U B).  So, if       A = {1, 2, 3, 4} and B = {1, 2, 3}, then A U B = {1, 2, 3, 4}, and A U B = B would be false.  However, if A = {1, 2, 3} and B = {1, 2, 3, 4}, then A U B = B would be true.

1. y=3x+6 2. y=-2x+4 3. y=1/2x-6 4. y=2/3x 5. y=-4x+1/8​

Answers

Answer:

Here u go bro. You have to just replace y and x with zero and then draw the I think structure say say:')

Help I need this done

Answers

The answer is 6 because I did the math

25. Abby won 57 points on her first turn in a game. She won 37 more
points on her second turn and then lost 19 points on her third turn.
She won some more points on her fourth turn. Now Abby has 100
points. How many points did she win on her fourth turn? Write an
equation using a variable for the unknown. Explain your thinking to a
friend.

Answers

Answer:

25 points

Step-by-step explanation:

57 + 37 - 19 + x = 100

94 - 19 + x = 100

75 + x = 100

x = 25

She won 25 points on her 4th turn.

In warmer climates, approximate temperature predictions can be made by counting the number of chirps of a cricket during a minute. The Fahrenheit temperature
decreased by forty is equivalent to one-third of the number of cricket chirps.
(a) Write an equation for this relationship.
(b) Approximately how many chirps per minute should be recorded if the temperature is 90°F?
(c) If a person recorded 72 cricket chirps in a minute, what would be the Fahrenheit temperature according to this formula?
(a) Let F represent the Fahreheit temperature and let x represent the number of chirps. The equation for this relationship is
(Use integers or fractions for any numbers in the expression.)

Answers

The relationship between temperature and the number of chirps based on the information given goes thus :

150 chips 64°F[tex] f - 40 = \frac{x}{3}[/tex]

Let :

Temperature = f ; number of cricket chirps = n[tex] f - 40 = \frac{n}{3}[/tex]

1.) Chirps per minute if temperature is 90°F

Put f = 40°F into the equation :

[tex] 90 - 40 = \frac{n}{3}[/tex]

[tex] 50 = \frac{n}{3}[/tex]

[tex] n = 50 \times 3 = 150 chirps [/tex]

2.) Fahrenheit temperature if n = 72

[tex] f - 40 = \frac{72}{3}[/tex]

Cross multiply

[tex] 3(f - 40) = 72[/tex]

[tex] 3f - 120 = 72[/tex]

[tex] 3f = 72 + 120 [/tex]

[tex] 3f = 192[/tex]

[tex] f = \frac{192}{3} = 64 [/tex]

3.)

The equation for the relationship with f = Fahrenheit temperature and x = number of chirps

[tex] f - 40 = \frac{x}{3}[/tex]

Learn more :https://brainly.com/question/25197276

one of the four gas stations located at a major intersection of two major roads is a Texaco station. Suppose the next six cars that stop at any of these four station make their selection randomly and independently. Is x a discrete or a continuous random variable?. Explain what are the possible values that x can assume?​

Answers

Answer:

A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is

located at (15,2) and the Bus Station is located at (5,-10).

The Train Station is located at point?Texaco station. Suppose the next six cars that stop at any of these four station make their selection randomly and independently. Is x a discrete or a continuous random variable?. Explain what are the poss

Solve the problems.
(will give brainliest)

Answers

Answer:

AB=12m<6

BD=23m>7

Step-by-step explanation:

There are 36 students in a class the pie chart shows the colour of their hair

Answers

Where is the question?

Step-by-step explanation:

36

The surface area of a spherical ball is 2464cm².Calculate the diameter of the ball. Take /pi to be 22/7

Answers

Answer:

Step-by-step explanation:

The surface area of a spherical ball =  2464cm²

[tex]\dfrac{4}{3}\pi r^{2}=2464\\\\\dfrac{4}{3}*\dfrac{22}{7}*r^{2}=2464\\\\r^{2}=2464*\dfrac{3}{4}*\dfrac{7}{22}\\\\= 28* 3 * 7\\\\ = 588\\r = \sqrt{588}\\\\r= 24.25 \ cm\\\\Diameter = 2*r = 2*24.25 = 48.5 \ cm[/tex]

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