In Akutan, Alaska, men are 77% of the population. It is also known 11.3% of

Akutan males smoke cigars while 2.1% of Akutan females smoke cigars. One

member of the population is selected at random for a survey involving cell

phone carriers

Express the cigar smoking data as conditional probabilities.


Find the

probability that the selected subject does not smoke cigars given that the

subject is male

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Proportion of males, P(M) = 77% = 0.77

Proportion of females = ( 1 - proportion of males) = (1 - 0.77) = 0.23

Percentage of males who smoke cigar = 11.3% = 0.113

Percentage of female who smoke cigar = 2.1% = 0.021

Expressing cigar smoking Data as conditional probability :

P(male and smoking) = P(M n C) = 0.113

P(Female and smoking) = P(F n C) = 0.021

Probability of smoking cigar Given the person is a male :

P(C | M) = P(M n C) / P(M)

Probability of smoking cigar Given person is a female :

P(C | F) = P(F n C) / P(F)

Find the probability that the selected subject does not smoke cigars given that the subject is male?

No smoking Given Male = 1 - P(C | M)

P(C | M) = P(M n C) / P(M)

P(C | M) = 0.113 / 0.77

P(C | M) = 0.1467

1 - P(C | M)

1 - 0.1467

= 0.8533


Related Questions

Sue is offered a job reshelving books in the University of Montana library from noon until 1 p.M. Each Friday. Her reservation wage for this task is $10 per hour. If the library director offers Sue $100 per hour, how much economic surplus will she enjoy as a result of accepting the job? Now suppose the library director announces that the earnings from the job will be divided equally among the 400 students who live in Sue's dormitory. Will Sue still accept? Explain how your answers to parts a and b illustrate one of the incentive problems inherent in income redistribution programs.

Answers

Answer:

Step-by-step explanation:

Sue's initial wage per hour = $10

Sue's wage per hour after the increase = $100

a. Economic surplus to be enjoyed = $100 - $10

                                                      = $90

Sue would enjoy an economic surplus of $90.

b. No, because in this case the wage per hour for each 400 student would be;

                                          =  [tex]\frac{100}{400}[/tex]

                                          = $0.25

                                          = 25 cents

Redistribution of income is the act of equal sharing of wealth among a certain number of people.

The problem here is that Sue would feel cheated with the division of the earnings among 400 students, but very happy when her wages was increased.

Though the income incentive redistribution programs reduce poverty, but it may be unfair.

After a parade, a group of volunteers is helping to pick up the trash along a 2-mile stretch of a road. The group decides to divide the length of the road so that each volunteer is responsible for cleaning up equal-length sections. Find the length of a road section for each volunteer if there are 8 volunteers

Answers

Answer: 0.25 miles

Step-by-step explanation:

When solving a word question, look for certain words that tell you what you should be solving for, and how to solve it.

In this problem, the group DIVIDES the length of the road EQUALLY, which tells you that in order to solve the problem, you must divide the length of the road by the number of volunteers.

The road is 2 miles long, and there are 8 volunteers, so

8/2 = 0.25

Thus, each person must clean 0.25 miles of road.

Using proportions, it is found that the length of road section for each volunteer will be of 0.25 miles.

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

This question is solved by proportions, using a rule of three to find the length of the road assigned to each volunteer, as each volunteers will be assigned an equal length of the road.In total, the length of the road is of 2 miles. Thus, 8 volunteers are responsible for 2 miles. For how many miles will a single volunteer be responsible?

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

The rule of three is given by:

8 volunteers - 2 miles.

1 volunteer - x miles

Applying cross multiplication:

[tex]8x = 2[/tex]

[tex]x = \frac{2}{8}[/tex]

[tex]x = \frac{1}{4}[/tex]

[tex]x = 0.25[/tex]

The length of road section for each volunteer will be of 0.25 miles.

A similar problem is given at https://brainly.com/question/14136767

Increase £89 by 61% round it to two dp

Answers

Answer:

143.29

Step-by-step explanation:

[tex]\frac{14329}{100}[/tex]

[tex]\frac{14329}{100}[/tex]

<3 Red

a clay model of a new car is 7 in. long if the car is 21 ft long how could you find the scale used to make the model

Answers

Answer:

The scale model = 1 :36 or 1 to 26

Step-by-step explanation:

A clay model of a new car is 7 in. long if the car is 21 ft long

Note that:

1 foot = 12 inches

21 foot =

Cross Multiply

21 foot × 12 inches

= 252 inches

Therefore, the scale =

7 inches : 252 inches

1 : 36

graph at least four points from the rule y=2x+1

Answers

Y=2x1+2+1=5

is that right?

Which one is correct?

Answers

Answer:

A

Step-by-step explanation:

I think it’s A
Tell me if I’m wrong

Find the missing number 390x__=390,000
Answers
A 10^2
B 10^3
C 10^4
D 10^5

Answers

Answer:

B. 10 to the third power

The required missing number in 390 x __ = 390,000 is 10³. option B is correct.

The missing number in the calculation 390x__=390,000 is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the missing number be x,
Now the given expression becomes,

390 * x =390,000
x = 390,000 / 390
x = 1000
x = 10³

Thus, the required missing number in 390x__=390,000 is 10³. option B is correct.

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What is an equation of the line that is parallel to the one shown and passes through (6, −5)?

A. y=−23x−1
B. y=32x−4
C. y=23x+1
D. y=−32x+4

Answers

Answer:

D is the answer

The equation in slope-intercept form, of the line that passes through (6, -5) and is parallel to the line given is: D. [tex]\mathbf{y = -\frac{3}{2} x + 4}[/tex]

Recall:

Slope of two lines that are parallel to each other will always be the same value.Slope = rise/run

From the graph shown, the slope (m) of the line is [tex]-\frac{3}{2}[/tex].

Thus, the line that passes through (6, -5) and is parallel to the line in the graph will have the same slope of [tex]-\frac{3}{2}[/tex].

Write the equation in point-slope form by substituting (a, b) = (6, -5) and m = -3/2 into y - b = m(x - a).

Thus:

[tex]y - (-5) = -\frac{3}{2} (x - 6)\\\\y +5 = -\frac{3}{2} (x - 6)[/tex]

Rewrite in point-slope form as y = mx + b

[tex]y +5 = -\frac{3}{2} (x - 6)\\\\y + 5 = -\frac{3}{2} x + 9\\\\y = -\frac{3}{2} x + 9 - 5\\\\\mathbf{y = -\frac{3}{2} x + 4}[/tex]

Therefore, the equation in slope-intercept form, of the line that passes through (6, -5) and is parallel to the line given is: D. [tex]\mathbf{y = -\frac{3}{2} x + 4}[/tex]

Learn more here:

https://brainly.com/question/16732089

Plssssss help I’m timed

Answers

Answer:

D

Step-by-step explanation:

c=5/2-d/2

The / is the show fraction.

I am not 100% sure but it is what I am 99% sure about.

Every day, you buy your lunch for $4 at school. How much money will you spend if you buy your lunch from Monday through Friday for three weeks?

Answers

Answer: 60

Step-by-step explanation: If you buy your lunch every day for 1 week, that would be 20 dollars spent. If you spend 20 dollars in 1 week, then 3 weeks would be 60.

Let me know if I'm right!

If you buy lunch everyday at school for $4 thats $20 a week, and $60 in 3 weeks.

The answer to this question is $60.

$4 x 5 = $20

$20 x 3 = $60

solve for w. need help pls

Answers

Answer:

w = -8

Step-by-step explanation:

19 = -9w - 5 + 6w

19 = -3w - 5

19 + 5 = -3w

24 = - 3w

w = -8

Answer: W=-8
................

The temperature on Monday was 78.8°C. The temperature on Tuesday was 6.6°C less than the temperature on Monday. What was the temperature on Tuesday? -

Answers

Answer:

72.2

Step-by-step explanation:

Monday: 78.8

Tuesday: 78.8 - 6.6 = 72.2

Can y’all help I don’t know how to do these

Answers

Answer:

The measure of angle 6 is 62 degrees.

The measure of angle 3 is 64 degrees.

The measure of angle 8 is 54 degrees.

The measure of angle 4 is 64 degrees.

The measure of angle 12 is 32 degrees.

Step-by-step explanation:

Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and almonds cost $5 per pound. What is the price per pound of the trail mix?

Answers

Answer:

$4.80 per lb of trail mix

Step-by-step explanation:

Cranberries- 1lb-$4

Almonds- 4lbs-$20

4+20=24

4+1=5

24/5=4.80

Can someone help me?

Answers

Answer:

Step-by-step explanation:

Yeah.I would be glad to.

What do you need help with?

please help!! will give brainliest! financial lit.!
Why would a store not have a large supply of Christmas decorations in July?
a. Stores stock large volumes of swimwear in the summer.
b. Demand is so high that stores cannot keep their shelves stocked with decorations.
c. Christmas decorations are never in high demand.
d. Christmas is in December, so demand for Christmas decorations in July is not likely to be very high.

Answers

Answer:

It's definitely D.

That answer to ur question is D

Can you guys help me please.

y+2=-3(×-4)
complete the missing value in the solution to the equation.

____,-2)​

Answers

Answer: 4

Step-by-step explanation:

Hope this helps

Answer:

(2.666667, -2)

Step-by-step explanation:

y+2 = -3x+12

(-4 times -3 = positive 12)

subtract 2 from both sides

y=-3x-10

-2=-3x-10

add ten to both sides

8=-3x

8/-3=

2.666667

BEST ANSWER BRAINIEST 40 POINTS!!!!! 1. This problem is unique to you. Pretend that you would like to buy something, but you must borrow money to purchase it. Select an item that you would like to buy that costs between $30-$60.
(a) What is the item you have chosen to buy (this is pretend so please have fun and pick something that you would like)? Include a picture or screenshot of the item.
(b) To buy the item you chose, you had to borrow money from a family member. How much does your item cost? The cost of the item is how much you will need to borrow.
(c) You begin paying back your family member $6 per week, after 4 weeks, how much money do you still owe your family member?
(d) How many total weeks would it take you to repay your loan?
Answer:
(a)



(b)



(c)




(d)

Answers

Answer:

answer down below.

Step-by-step explanation:

hi!

a) i choose to buy a $50 gift card as a birthday gift. (i included an image)

b) my item costs $50, so i have to borrow that much money.

c) 50-6(4)

50-24

$26

after four weeks, i owe my family member $26.

d) 50-6x=0

-6x=-50

x=8.33...

it will take me 8.33... (so 9) weeks to repay my loan.

Could anyone please help me with this for Calculus AB? I'm not entirely sure if the answer I put down is correct or not; I got some funky graphs for it though.

Answers

Hi there! :)

C. has both jump and infinite discontinuity.

Evaluate both piecewise functions at x = 1;

1 / (x + 1) = 1 / ((1) + 1) = 1/2

2x - 1 = 2(1) - 1 = 1

As the piecewise functions contain different y-values when evaluated at

x = 1,  there is a jump discontinuity at x = 1.

However, the first function also contains a vertical asymptote or infinite discontinuity where it is undefined, or at x = -1. (1 / 0 = undefined). This means that the function also contains an infinite discontinuity.

Therefore, the correct choice is:

C. has both jump and infinite discontinuity.

Write an equation for the line that passes through (10, 17) and (20, 37)

Answers

y=2x-3 is the equation for the line that goes through (10,17) and (20,37)

Victoria is making punch for a school party. The recipe calls for 2 cups of lemonade

Answers

Answer:

4 4 4 + 5 5 5

Step-by-step explanation:

whas does 16g+3<-17+15g equal ​

Answers

Answer:

g∠-20

Step-by-step explanation:

Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wedding. They set aside the same amount each month. After a year they saved $4,000. Mike and Kate know they must adjust their plan in order to meet their goal, so they came up with the following options:
Option A: Stay with saving the same amount they've been saving each month but postpone the wedding 2 months.
Option B: Increase the amount of money they save each month by $80 from what they've been saving.
Which of the following is a true statement?

Answers

Answer:

The Answer is Actually D. I just took the Test and got it Correct! have a Great Day.!!

Step-by-step explanation:

The true statement is that both plans will not amount to $8000 in the end

The target savings is given as:

[tex]Target = \$8000[/tex]

The amount saved after a year is given as:

[tex]Savings = \$4000[/tex]

Start by calculating the amount saved each month (by dividing the saved amount by 12)

[tex]Monthly = \frac{\$4000}{12}[/tex]

For option (A): To increase the wedding by 2 months.

This means that the duration of savings would be 22 months.

So, the estimated savings would be

[tex]Estimate= \frac{\$4000}{12} \times 22[/tex]

[tex]Estimate= \$7333[/tex]

For option (B): Increase savings by $80.

This means that they have 8 months to complete their savings

The estimated savings would be

[tex]Estimate= \$4000 + (\$80 + \frac{\$4000}{12}) \times 8[/tex]

[tex]Estimate= \$7307[/tex]

For both plans, the estimated savings are short of the target savings of $8000.

Hence, none of the plans would amount to $8000 in the end

Read more about estimates and predictions at:

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A Nike hoodie usually costs $60. The hoodie is on sale for 20% off. What is the sale price of the hoodie?

A. $12

B.$36

C.$48

D.$72

Answers

Answer:

C

Step-by-step explanation:

100%-20%=80%

0.8*60=48

<3

Red

Answer:

its A $12

Step-by-step explanation:

Elizabeth and Christine both collect chinaware. Elizabeth has 5 1/6 sets of chinaware, and Christine has 3 2/3 sets of chinaware. How many sets of chinaware do they have together?

A. 1 2/2

B. 2 1/3

C. 8 1/6

D. 8 5/6

Answers

Answer:

D. 8  5/6

Step-by-step explanation:

Hi there !

5 1/6  + 3 2/3 =

= (5×6 + 1)/6 + (3×3 + 2)/3

= 31/6 + ²⁾11/3

= 31/6 + 22/6

= (31 + 22)/6

= 53/6

= 8  5/6

Good luck !

Answer:

D. 8  5/6

Step-by-step explanation:

The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.

A graph on a coordinate plane titled Distance Remaining Over Time. The x-axis is labeled time (in hours), numbered 1 to 8, and the y-axis is labeled miles to destination, numbered 50 to 400. A straight line with a negative slope starts at point (0, 350) and ends at point (7, 0).

Which statement is true?

Answers

Answer:

B- For each hour that Michelle drove, she traveled an additional 50 miles.

Step-by-step explanation:

The statement that is true is For each hour that Michelle drove, she traveled an additional 50 miles.

What is a graph?

The graph shows the relationship between a distance and the time .

With the graph interpretation, it display the relationship between the  number of hours that Michelle is driving as well as the distance, and it can be deduced that it started at  0 hours, and distance of 350 miles

Hence, option B is correct because  Michelle drove, an additional 50 miles since at zero y-coordinate was  no more distance to cover.

Check the graph at the attachment.

Learn more about graph at:

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7
When you raise a number to the
second power or a power of 2, you
could say that you
the

number

Answers

Answer:

is multiplied by itself.

Step-by-step explanation:

2 to the second power is four, and so is 2 times 2.

7 to the second power is 49, and so is 7 times 7.

They are the same thing.

Hope this helps!

The number multiplied by itself

For example 7 to the 2nd power would be the equation
7 x 7 = 49

and 7 to the 3rd power would be
7 x 7 x 7 = 343

Find each angle??????????????

Answers

Answer:

<BAC=58°

<CAD=32°

Step-by-step explanation:

15x-2+7x+4=90

22x+2=90

22x=90-2

22x=88

x=88÷22

x=4

<BAC=15x-2=15(4)-2=60-2=58°

<CAD=7x+4=7(4)+4=28+4=32°

2 triángulos congruentes son semejantes

Answers

Answer:

Spanish

Teorema: “ Si dos triángulos tienen sus dos ángulos correspondientes congruentes, entonces el tercero también será congruente y los triángulos son semejantes”. Teorema: “ Dos triángulos son semejantes si tienen un ángulo congruente comprendido entre lados proporcionales”.

English

Theorem: "If two triangles have their two corresponding angles congruent, then the third will also be congruent and the triangles are similar." Theorem: "Two triangles are similar if they have a congruent angle between proportional sides."

Step-by-step explanation:

Mr. Santos wanted to know the height of the tree. He observed from a point A that the angle of elevation of the top of the tree is 36 degrees. He then moved backwards 50 ft away from the initial point A, the angle of elevation of the top of the tree was 22 degrees. Find the height of the tree.

Answers

Answer:

The height of the tree is approximately 45.51 ft.

Step-by-step explanation:

The given information are;

The angle of elevation of the top of tree is 36 degrees

The distance backwards Mr. Santos moved = 50 ft.

The new angle of elevation of the top of the tree = 22 degrees

Therefore, we have;

The angle opposite to the 50 ft. side = 180 - (180 - 36) - 22° = 14°

Therefore, we have, by sine rule;

50/(sin(14)) = X/(sin(22))

X = (sin(22)) × 50/(sin(14)) ≈ 77.42 ft.

The height of the tree, T =  X × sin(36°)

T = 77.42 ft. × sin(36°)  ≈ 45.51 ft.

The height of the tree is approximately 45.51 ft

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