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

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!!!
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 .

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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

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

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

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

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

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


Dimensions are not necessary on an Isometric drawing
True
False

Answers

Answer:

true

Step-by-step explanation:

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.

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?

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!

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:)

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

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

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]

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

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.

(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

(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°.

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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.

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

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

Please help thank you so much I mark as brainliest​

Answers

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

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.

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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:

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:

IM A DUMB BLONDE AND I NEED YOUR HELP RIGHT NOW

Answers

Answer:

- 1 and 3

Step-by-step explanation:

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

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