Suppose there is a 27.4% probability that a randomly selected person aged 40 years or older is a jogger. In addition, there is a 29.3% probability that a randomly selected person age 40 years or older is male, given that he or she jogs.

Required:
a. What is the probability that a randomly selected person age 40 years or older is male and jogs?
b. Would it be unusual to randomly select a person aged 40 years or older who is male and jogs?

Answers

Answer 1

Answer:

a

    [tex]P(M  \  n \  J ) = 0.0802 [/tex]

b

  Yes

Step-by-step explanation:

From the question we are told that

    The  probability that a random  selected person of age 40  years or older  is a jogger is [tex]P(J) =  0.274[/tex]

    The  probability that a random  selected person of age 40  years or older  is a male given that he/she jogs  is  [tex]P(M |J) = 0.293[/tex]

Generally the probability that a randomly selected person age 40 years or older is male and jogs

    [tex]P(M  \  n \  J ) = P(M|J) *  P(J)[/tex]

    [tex]P(M  \  n \  J ) = 0.293 * 0.274 [/tex]

     [tex]P(M  \  n \  J ) = 0.0802 [/tex]

Generally it would  be unusual  because the probability that a randomly selected person age 40 years or older is male and jogs is  greater than 0.05[border line for statistical  significance]

   


Related Questions

What is the first step to solve this equation:
11 - 3x = 44

Answers

Answer:

Subtract 11 from both sides

Step-by-step explanation:

X has to be alone

Answer:

Subtract 11 from sides

Step-by-step explanation:

You have to get the x by itself first

Which list shows all the factors of 72?
OA) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
OB) 1, 2, 3, 4, 6, 9, 12, 18, 24, 36, 72
OC) 1, 2, 3, 4, 5, 6, 8, 9, 12, 18, 24, 36, 72
OD 1, 2, 3, 4, 6, 7, 8, 9, 12, 18, 24, 36, 72

Answers

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Question 4
Which situation requires the use of the cube root?
A
determining the surface area of a cube given the side
B
determining the volume of a cube given the side
С
determining the side of a cube given the volume
D
determining the volume of a sphere given the radius

Answers

Answer:

Step-by-step explanation:

O

I'll give brainliest
what is a slope??????

Answers

Answer:

Step-by-step explanation:

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

Answer:

The slope is the steepness of a function/line

it is the coefficient of x or m in y=mx+b

I need some help I suck at math‍♂️‍♂️

Answers

Answer:

x = 11

Step-by-step explanation:

Add 7/6 to each side, so it now looks like this: 5/6x = 55/6Divide each side by 5/6 to cancel out the 5/6 next to x. It should now look like this: x = 11

I hope this helps!

IM A DUMB BLONDE AND I NEED YOUR HELP RIGHT NOW

Answers

Answer:

- 1 and 3

Step-by-step explanation:

Translate the sentence into an equation.
Twice the difference of a number and 2 equals 6.
Use the variable b for the unknown number.

Answers

Answer:

b + 2 = 6

Step-by-step explanation:

This may not be the right answer, but its what I think it is.

When the teacher asked Henrietta which is bigger 0.8 or 0.64, Henrietta said 0.64 because “it represents 64 of the hundredths, rather than only 8 of them” what do you think of Henriettas explanation?

Answers

Answer:

Henrietta is incorrect

Step-by-step explanation:

Start in the tenths place and notice that 8 is greater than 6. This makes 0.8 greater than 0.64

You don't need to consider the hundredths place value unless both numbers in the tenths are the same.

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train. If the two trains are 480 miles apart after 3 hours, what is the rate of the eastbound train?

Answers

Answer: 73 mi/hr

Explanation:

Distance to east+Distance to west = 480

But distance = V x t

Let x be the velocity
And t = 3hr

=> 3(x - 14) + 3x = 480
=> 3x - 42 + 3x = 480
=> 6x - 42 = 480
=> 6x = 522
=> x = 522/6
=> x = 87

But eastbound train travel 14 mi less than westbound.

x - 14

But x = 87

=> 87 - 14 = 73

Thus, 73 is the rate of the eastbound train

73 is the rate of the eastbound train while The speed of the westbound train is 59 miles per hour.

What is Speed?

speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.

Given, Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train.

Eastbound train:

time = 3 hrs, rate = x mph, distance = 3x miles

Westbound train:

time = 3 hrs ; rate = x-14 ; distance = 3x-42 miles

3x + 3x - 42 = 480

6x = 438

x = 73 (rate of the eastbound train)

To find the rate of the westbound train:

rate = x -14

rate = 73 - 14

rate of westbound train = 59

Therefore, The speed of the westbound train is 59 miles per hour.

Learn more about speed here:

https://brainly.com/question/28224010

#SPJ1

Gerrit Cole’s salary pitching for the Yankees in 2020 is $36,000,000. Cole averages about 2,000 pitches each year. About how much money does Gerrit Cole make per pitch

Answers

36000000 x 2000 = 72000000000

subract 5 3/4 - 2 7/8

Answers

Answer:

2.875

Step-by-step explanation:

you have to change them into decimals. so 5 3/4 would be 5.75 and 2 7/8 would be 2.875. once you do that you can subtract

(3x + 23) degree (7x - 37) degree find m angle XYV

Answers

Answer:

An Obtuse angle is an angle whose degree measure is greater than 90 and less than 180o. ... 2x + 8 + 3x + 2 = 180 ... 14 – 23, Provide the name of the following relationships: 14. ... m∠BEC = 5x - 25 and m∠DEA = 7x – 65, find ... 37. If the measures of the angles of a triangle are represented by 2x + 8, x - 8 and 2x – 20.

Step-by-step explanation:

The required measure of angle ∠XYV is given as 112°.

What are the angle?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
According to the given condition,
As Line WV intersects line XZ at V so,
Angle XYW = Angle VYZ
Substitute the value in the above expression,

3x + 23 = 7x - 37

60 = 4x
x = 15

∠ XYW = 3x + 23
            = 3(15) + 23
            = 45 + 23
            = 68

Now,
∠XYV = 180 - ∠ XYW
Substitute the value in the above expression,


∠XYV = 180 - 68
∠XYV = 112°

Thus, the required measure of angle ∠XYV is given as 112°.

Learn more about Angles here: https://brainly.com/question/13954458

#SPJ2

The Cowboys have won 11 out of the 12 games they have
played this season. What is their ratio of Wins to Losses?

Answers

eleven wins to one lose 11 to 1

As part of a science experiment, Sam recorded the four values shown in the table, but one of them got smudged on his paper. He remembers that the sum of the trials was −1. What was the value that was smudged?

Trials

−9

12

(smudged)

−8


A) 2


B) −2


C) −4


D) 4


PLEASE HELP IM GONNA FAIL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :(

Answers

Answer:

D) 4

Step-by-step explanation:

−9 + 12 + (unknown) + −8 = −1

Start by going through and testing each option

−9 + 12 + 2 + −8 =

3 + 2 + −8 =

5 + −8 =

−3

−3 ≠ −1

A) 2 is not possible.

−9 + 12 + −2 + −8 =

3 + −2 + −8 =

1 + −8 =

−7

−7 ≠ −1

B) 2 is not possible.

−9 + 12 + −4 + −8 =

3 + −4 + −8 =

−1 + −8 =

−9

−9 ≠ −1

C) −4 is not possible.

From this, D is looking like the answer. But to be sure, test it.

−9 + 12 + 4 + −8 =

3 + 4 + −8 =

7 + −8 =

−1

−1 = −1

D) 4 is the answer.

The graph of a line passes through the two points (-2,1) and (2,1). What is the equation of the line written in general form ?

A. y-1=0
B. x-y+=0
C. x+y -1=0

Answers

Answer:

A

Step-by-step explanation:

When you plot the points (-2,1) and (2,1) on a graph, you get a horizontal lines that crosses through y=1 which can be rearranged to be written as y-1=0


Which unit of length would be most appropriate to describe the length of your
foot?

Answers

Answer:

inches

Step-by-step explanation:

well depends on how big your foot is

Joaquin made four times as many goals as daniel during soccer practice today. What is the ratio?

Answers

Answer:

4:1

Step-by-step explanation:

Let the no. of goals Daniel scored be x

Hence,

No. of goals Joaquin scored = 4 x

No. of goals Daniel scored = x

Hence,

The ratio of the no. of goals scored by Joaquin to the no. of goals scored by Daniel

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

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

48 on shelves how many on 12 shelves ​

Answers

Answer:

Step-by-step explanation:

If there are 48 books on shelves

Then number of books in 12 shelves

= 48 ÷ 12 = 4 books

Answer:

576

Step-by-step explanation:

because 48 books on each shelves 48×12=576

(6x^4-8x^2) divided by 2x^2, where x does not equal 0?

Answers

Answer:

3x^2 - 4

Step-by-step explanation:

(6x^4 - 8x^2) ÷ 2x^2

3x^2 - 4

Find the slope of the line connecting the point (2,3) to the point (4,6)l

Answers

Answer:

2/3

I hope this helps :D

9514 1404 393

Answer:

  3/2

Step-by-step explanation:

The slope is the "rise" (change in y) divided by the "run" (change in x).

  m = (y2 -y1)/(x2 -x1)

  m = (6 -3)/(4 -2) = 3/2

The slope is 3/2 = 1.5.

Help please, only right answers get brainliest!

Answers

Answer:

90

Step-by-step explanation:

The number of possibilities is the the product of the number of choices of each category.

size: 3 choices

cheese: 2 choices

side dish: 3 choices

drink: 5 choices

number of difference possibilities: 3 * 2 * 3 * 5 = 90

Answer: 90

Which components would Mr. Kelly use to write an equation to determine the total cost of the meal, given the amount of the bill, x?

Answers

can i see a picture?

In the expression shown, n
represents a rational number.
7n
What value of n makes the
expression a number less than
7?
A. 3/2
B. 6/6
C. 4
D. 714

Answers

Answer:

C. 4/5

Step-by-step explanation: If you have a fraction with the numerator being less than the denominator then multiplying by 7 you will get a number that is less than 7

PLEASE HELP ME OK SO WHAT IS X/5 + 6 <2

Answers

Answer:

x < -20

Step-by-step explanation:

[tex]\frac{x}{5}[/tex] + 6 < 2

subtract 6 from both sides of the equation

[tex]\frac{x}{5}[/tex] < 2 - 6

[tex]\frac{x}{5}[/tex] < -4

multiply both sides of the equation by 5

x < -4 * 5

x < -20

HELP!!!
A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 560,000 gallons. Tank cars with three different carrying capacities are​ available: 7,000 ​gallons, 14,000 ​gallons, and 28,000 gallons. How many of each type of tank car should be​ leased?

Answers

Answer:

16 of the 28,000 gallon tanks

6 of the 14,000 gallon tanks

4 of the 7000 gallon tanks

Step-by-step explanation:

ez

The tank should be leased by each quantity by 4 tank cars of  7000 gallons , 6 tank cars of 14000 gallons and 16 tank cars of 28000 gallons .

What is elimination method?

In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.

According to the question

Let Tank cars of 7000  ​gallons = x

Let Tank cars of 14000  ​gallons = y

Let Tank cars of 28000  ​gallons = z

A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 560,000 gallons.

i.e ,

x + y + z = 26 ---------------------------------------(1)

and

7000x + 14000y + 28000z = 560000  

x + 2y + 4z = 80  --------------------------------(2)

Now , solving equation (1) and (2) by elimination method

x = 4

y = 6

z = 16

Hence, The tank should be leased by each quantity by 4 tank cars of  7000 gallons , 6 tank cars of 14000 gallons and 16 tank cars of 28000 gallons .

To know more about elimination method here:

https://brainly.com/question/14619835

#SPJ2


Dimensions are not necessary on an Isometric drawing
True
False

Answers

Answer:

true

Step-by-step explanation:

The office supply closet had 25,473 large paper clips, 13,648 medium paper clips, and 15,306 small paper clips. How many paper clips were in the closet?

Answers

Answer:

The answer is 54,427

Step-by-step explanation:

Add them up

I don’t understand this and it’s due at 12

Answers

Answer:

The 20% tip would be 18%

The 80% mark down would be 0.8 I think

The 60% I'm not sure for the 60% one

The 10% I'm not sure for that one but I think it would be 3.75

I think for 75% mark down it would be 0.7 I'm not sure tho and I'm not sure for the rest

Sorry if I'm wrong but hope this helps:)

Please help thank you so much I mark as brainliest​

Answers

The coordinates of point R are (-8, 7)

Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.

Answers

Answer:

whats the question-

Step-by-step explanation:

Answer:

so how many hours does he play, we need to know that so we can calculate it

Step-by-step explanation:

Other Questions
A test contains two multiple-choice questions. If a student makes a random guess to answer each question. (Hint: Consider two outcomes for each questioneither the answer is correct or it is wrong.) 2.2.1 How many outcomes are possible? The central idea of this excerpt is that the narrator is surprised by public race restrictions. cherishes her rare worldly experiences. enjoys time spent with her grandmother. longs to have a more diverse neighborhoodThe central idea of this excerpt is that the narrator is surprised by public race restrictions. cherishes her rare worldly experiences. enjoys time spent with her grandmother. longs to have a more diverse neighborhood The delegates at the Constitutional Convention agreed to-? 9. Mohammed copied this problem into his notebook.(3.4 X 10')(3.8 x 10-9A. Use the associative and commutative properties to rearrange the factors. (Regroup)B. Find the product. Write the product in standard form. Sarah bought 6 rolls of paper towels. She got 214.2 meters of paper towels in all. Howmany meters of paper towels were on each roll? which group of substances are elements?A.Air,water,cooking oilB.carbondioxide,water,table saltC.carbon,hydrogen,oxygenD.rock,soil,iron ore A family buys 8 tickets to a show. They also pay a $5parking fee. They spend $61 to see the show.What is the solution to the story?13.8010.6007.008.25 What is the name given to the international trade system over the Atlantic Ocean between Europe, Africa, and the Americas? What is the sum of the fractions? Use the number line to help find the answer.3/5 plus -7/5 HELP ASAPPPP What is the equation of this graphed line? If the line passes through (-6,-3) and (6,-7) Find the range of the function What is the solution to the equation below, rounded to the correct number of Significant figures? 4700 L - 281.4 L = ___ L Alan drive 210 miles using 9 gallons of gas. At this rate,how many gallons of gas would he need to drive 413 miles? Can someone help me out?? This is my last question of the day until Im done Maryland was different from the other English colonies becauseit was founded on behalf of Roman Catholic colonists.it established good relations with American Indians.it grew tobacco as a lucrative cash crop.it was created as a proprietorship, unlike any other colony. 4. Write the modal class of the following frequency distribution:Class interval 10-20 , 20 - 30 ,30 - 40, 40-50, 50 - 60Frequency..33386552 1948 this is due today help What mass of the calcium carbonate, to the nearest hundredth of a gram, is decomposed in this reaction. I HAVE 5 MINUTES The FenceI sat in the truck and looked out over the dashboard at my dad. The lights from the truck's headlights lit up the night and I could see my dad as he knelt in the snow to inspect the mangled fence. I watched quietly as he looked at the damage. Muddy tire tracks led from the road to the damaged fence. Broken wood and wire were everywhere. Broken glass lay beside a fence post. It looked bad.My dad struggled to straighten the wire. He was having a very hard time. The fence needed a lot of work. Dad stood up, brushed the snow from his pants and walked back to the truck. A gust of wind entered the truck as he climbed in."Can you fix the fence?" I asked my dad as he settled in the truck."I think so," he said. "But it's too dark to fix now and I need my tools and more wood." I thought he might tell me more."It will be a big job. It isn't right that you have to fix it all by yourself when some one else crashed through it and ruined it," I said.My dad looked at me and smiled. "I think someone will come forward and admit to hitting the fence," he said.When we arrived at home, dad made me hot chocolate. I sat at the table in the kitchen and sipped my drink slowly as I listened to the wind howling outside.Thirty minutes later, as we cleaned up our hot chocolate, light shown across our lawn and into our kitchen. Dad and I looked outside to see who was there. As I looked outside, I noticed the car in the driveway only had one headlight. The car stopped and the driver walked through the snow, towards our front door."Are you Mr. Smith?" the stranger asked when dad opened the door."Yes," Dad answered. "How can I help you?""Well, sir, my name is Tom Jones. I want to apologize for running into your fence this morning." Mr. Jones went on the explain he had been driving home from work and hit an icy patch and slid off of the road. He apologized again and promised he would help my dad fix the fence. He wrote down his name, address, and phone number on a piece of paper. He gave the paper to my dad. He shook my dad's hand and left.Dad smiled as he closed the door. Dad could see I was surprised that someone had come to tell the truth. "Dad, how did you know someone would come and tell you about the fence?" I asked.Dad said, "Well, I know I would have done the right thing, and I know you would have done the right thing. I think that most people have good hearts. I had faith this person would do the right thing too."1) Read the following sentence from the story.He apologized again and promised he would help my dad fix the fence when the snow melted.Based on this sentence, Mr. Jones can BEST be described asA) adventurous. B) honest. C) proud. D) unreliable. 2) What can the reader conclude about Mr. Jones's car only having one working headlight?A) The light bulb has burned out. B) Ice and snow blocked one headlight. C) The headlight broke in a car accident. D) The car was old so the light didn't work. A boy is going down a slide. As he reaches the bottom, friction causes him to slow down and stop. Which one of Newton's laws is this?2nd law3rd law1st law4th law