From families with four children a family is chosen at random. Let X be the number of boys in the family. Calculate and sketch the distribution function of X. Assume that in a four-child family all gender distributions (for example, BBBB, BBBB, BBBB, BBBB, etc.) are equally probable.

Answers

Answer 1

Solution :

Given :

X = the number of boys in a family of four children

Families having four children are chosen randomly.

The gender distribution in the four child family are equally probable.

Thus,

 X                P(X)                                          CDF

0             [tex]^4C_0 (1/2)^{4}[/tex]        = 1/16                     [tex]\frac{1}{16}[/tex]

1               [tex]^4C_1 (1/2)^{4}[/tex]       = 1/4                       [tex]\frac{5}{16}[/tex]

2                [tex]^4C_2 (1/2)^{4}[/tex]      = 3/8                      [tex]\frac{11}{16}[/tex]

3                [tex]^4C_3 (1/2)^{4}[/tex]      = 1/4                       [tex]\frac{15}{16}[/tex]

4                  [tex]^4C_4 (1/2)^{4}[/tex]    = 1/16                      1

From Families With Four Children A Family Is Chosen At Random. Let X Be The Number Of Boys In The Family.

Related Questions

You are having a get-together and are expecting 30 guests. You plan on serving Chocolate Chip Cookies. Use your knowledge of fractions to re-write the recipe for Chocolate Chip Cookies. The recipe card states that it makes 60 cookies. What will need to be done in order to make 30 cookies?
Show your work neatly. List all steps taken as you recalculate each ingredient and then re-write the recipe card.
Discuss what you learned about fractions from this activity.
Did you find some measurements easier to convert than others? Why do you think this is so?

Answers

Answer:

Chocolate Chip Cookies:

2

1

/

2

cups flour

3

/

4

cup sugar

1

tsp. baking soda

1

tsp. vanilla

3

/

4

teaspoon salt

2

eggs

1

cup butter

3

/

4

pound Chocolate Chips

Fractions:

A fraction is a numerical quantity that represents a part of a whole. A fraction can be recognized by a horizontal line that is there between the two numbers. The number above the horizontal line is called the numerator and the number below the horizontal line is called the denominator.

A fraction that is less than 1 is called a Proper Fraction.

Example- A fraction that is greater than or equal to 1 is called an Improper Fraction.

Example- A whole number and a fraction combined into one is called a MIxed Fraction.

Example- To Convert Mixed Fraction into an improper fraction, multiply the denominator with the integer and add this product to the numerator.

Example-

5

3

4

=

(

4

×

5

)

+

3

4

=

23

4

Answer and Explanation:

What is a Parrel line?

Answers


Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

Answer:

parrel line never meet

es urgente

Resuelve cada ecuación. Si tu respuesta es correcta podrás completar con ella la información que esta abajo y aprender también sobre la naturaleza


X - ( x – 10 ) + 50 + (20 - x ) = – 50

Answers

Answer:

I hope I've helped /espero haberte ayudado

Somebody please help me asap​

Answers

Answer:

sum of angles in a triangle = 180°

180-(90+21)

= 69

pls am I correct

Your answer is going to be 69




ques
mid vallue frequency
5. 5
10. 20
15. 10
20. 55
25. 22
30. 29

find mode from the following​

Answers

Answer:

the mode is 20

it has the highest frequency

please help ill give brainliest I need this answer​

Answers

Answer:50

Step-by-step explanation:8+7x =9x-4 2x =12 x =6 so 8+42=50

Answer:

50°

Step-by-step explanation:

These 2 angles are vertically opposite, meaning they equal each other.

This gives the equation 9x-4=7x+8.

Subtracting 7x from both sides gives 2x-4=8.

From there, you want to add 4 to both sides, leaving 2x=12.

In order to isolate the x, divide both sides by 2. This creates a final result of x=6.

We want to find the angle given by 8+7x. Since we know x, we can sub it with its value (6). This makes the equation 8+7×6.

We can then solve this to 8+42, and even further to 50°.

**This content involves transversals and solving algebraic equations, which you may wish to revise. I'm always happy to help!

sushil was thinking of a number. sushil halves it and gets an answer of 22.2, what was the original number?

Answers

Answer:

44.4

Step-by-step explanation:

Let,

The number thought by Sushil = x

When halved = x/2

We know that,

When the number is halved then it becomes 22.2

Therefore,

The original number is,

[tex] = > \frac{x}{2} = 22.2[/tex]

=> x = 22.2 × 2

=> x = 44.4 (Ans)

The height of a triangle is 4 feet more than 3 times the base. If the area is 112 ft find the base and height of the triangle

Answers

Answer:

[tex]base = 8 ft\\height =28 ft\\[/tex]

Step-by-step explanation:

let base be x ft. then the height is 3x+4

[tex]Area=\frac{1}{2} \times x \times (3x+4)=112\\3x^{2} +4x=224\\3x^{2} +4x-224=0\\x=8, x=-9.33 (no sol. as length can not be negative)\\ x=8\\base = 8 ft\\height =3(8)+4=28 ft\\[/tex]

Answer:

base = 8 , height = 28

Step-by-step explanation:

Let base be = b

Given:

                             height is 3times base = 3b

        Also 4 feet more than 3 times base = 3b + 4

                           Area = 112 square feet

              [tex]area = \frac{1}{2} \times base \times height\\\\112 = \frac{1}{2} \times b \times (3b+ 4)\\\\224 = b(3b+4)\\\\224 = 3b^2 + 4b\\\\3b^2 + 4b - 224 = 0\\\\[/tex]

The quadratic equation with a = 3 , x = 4 , c = -224

Therefore ,

             [tex]b = \frac{-x \pm \sqrt{x^2 - 4ac}}{2a}\\\\[/tex]

             [tex]b= \frac{-4 \pm \sqrt{4^2 - (4 \times 3 \imes -224)}}{2 \times 3}\\\\b= \frac{-4 \pm \sqrt{16 + 2688}}{6}\\\\b= \frac{-4 \pm \sqrt{2704}}{6}\\\\b= \frac{-4 \pm52 }{6}\\\\b = \frac{-4 + 52}{6} , \ b = \frac{-4 -52}{6}\\\\b = \frac{48}{6} , \ b = -\frac{56}{6}[/tex]

Since base can't be negative base = 8 ft

Therefore , height = 3b + 4 = 3(8) + 4 = 24 + 4 = 28

How to determine the percentage of total expenses which is allocated to salary ? Please help ​

Answers

Answer:

(s/t)(100%)

Step-by-step explanation:

Represent salaries by s and total expenses by t.  Then the fraction of total expenses allocated to salary is

  s

------

  t

and so the percentage of total expenses which is allocated to salary is

(s/t)(100%)

Answer:-

Here,

we have to determine the percentage of total expenses which is allocated to salary.

Let,

The salary is denoted by (S)The total expenses value by (T)

The percentage of total expenses allocated to salary is,

[tex]\bold{Percentage=\dfrac{salary}{total~expenses}×100   }[/tex] 

[tex]\sf{Percentage=\dfrac{S}{T}×100 }[/tex] 

name the plane represented by the back of the box.

I already tried and got it wrong so if you're gonna answer pls explain how you got your answer, thanks​

Answers

Answer:

ADH

Step-by-step explanation:

The back of the box is AEDH  ( points on the corners)

You need 3 points to name a plane that are not in a line

ADH is one name

ADE is another name

5 (v+1) -v = 4 (v-1) +9

Answers

Answer:

All real numbers are solutions.

Step-by-step explanation:

Our goal is to isolate "v" on one side of the equation. Let's do this step by step.

5(v+1)−v=4(v−1)+9

Step 1: Simplify both sides of the equation.

5(v + 1) − v = 4(v−1) + 9

(5)(v) + (5)(1) + −v = (4)(v) + (4)(−1) + 9(Distribute)

5v + 5 + −v = 4v + −4 + 9

(5v + −v) +(5) = (4v) + (−4 + 9) (Combine Like Terms)

4v + 5 = 4v + 5

4v + 5 = 4v + 5

Step 2: Subtract 4v from both sides.

4v + 5 − 4v = 4v + 5 − 4v

5 = 5

Step 3: Subtract 5 from both sides.

5 − 5 = 5 − 5

0 = 0

This means that all real numbers are solutions.

Any real number could be "v."

Hope this helps, please mark brainliest if possible. Have a great day.

Answer:

All numbers are solutions

Step-by-step explanation:

Calculate the area of the following Circle

Answers

Answer:

324

Step-by-step explanation:

Circles are 100% even. If you add another line going opposite direction you would multiply 18x18. You get 324.

F=(2xy +z³)i + x³j + 3xz²k find a scalar potential and work done in moving an object in the field from (1,-2,1) to (3,1,4)​

Answers

Step-by-step explanation:

Given:

[tex]\textbf{F} = (2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}[/tex]

This field will have a scalar potential [tex]\varphi[/tex] if it satisfies the condition [tex]\nabla \times \textbf{F}=0[/tex]. While the first x- and y- components of [tex]\nabla \times \textbf{F}[/tex] are satisfied, the z-component doesn't.

[tex](\nabla \times \textbf{F})_z = \left(\dfrac{\partial F_y}{\partial x} - \dfrac{\partial F_x}{\partial y} \right)[/tex]

[tex]\:\:\:\:\:\:\:\:\: = 3x^2 - 2x \ne 0[/tex]

Therefore the field is nonconservative so it has no scalar potential. We can still calculate the work done by defining the position vector [tex]\vec{\textbf{r}}[/tex] as

[tex]\vec{\textbf{r}} = x \hat{\textbf{i}} + y \hat{\textbf{j}} + z \hat{\textbf{k}}[/tex]

and its differential is

[tex]\textbf{d} \vec{\textbf{r}} = dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}}[/tex]

The work done then is given by

[tex]\displaystyle \oint_c \vec{\textbf{F}} • \textbf{d} \vec{\textbf{r}} = \int ((2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}) • (dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}})[/tex]

[tex]\displaystyle = (x^2y + xz^3) + x^3y + xz^3|_{(1, -2, 1)}^{(3, 1, 4)}[/tex]

[tex]= 422[/tex]

What is the scale factor of AXYZ to AUVW?

Yes

Answers

Answer:

C

Step-by-step explanation:

60÷6=10, 90÷9=9, 75÷7.5=10, It divided by 10 so it's 1/10

The scale factor of dilation of the triangle is k = 1/10

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the first triangle be ΔXYZ

Let the second triangle be ΔUVW

Now , the measure of sides of ΔXYZ = { 60 , 75 , 90 }

And , the measure of sides of ΔUVW = { 6 , 7.5 , 9 }

So , the scale factor of dilation is given by k

where k = measure of side ΔUVW / measure of side ΔXYZ

k = 6 / 60

k = 1/10

Hence , the dilation factor is k = 1/10

To learn more about dilation click :

https://brainly.com/question/13176891

#SPJ7

y = -4/3x − 1
y = 1/3x + 4

Answers

Answer:

x = -3, y =3

Step-by-step explanation:

y = -4/3x - 1

y = 1/3x + 4 -------> 4y = 4/3x + 16

Adding the first equation and the new second equation together:

5y = 15 ------> y = 3

Plug y = 3 into one of the original equations:

3 = 1/3x + 4

-1 = 1/3x

x = -3

help i’ll give brainliest

Answers

Answer:

5

Step-by-step explanation:

Y intercept = y value of point where the line passes the y axis

The line passes the y axis at (0,5) and the y value of that point is 5

Therefore y intercept = 5

Answer:

5........................................................................................

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of the days that a library book is late and y represents the total fee?

Answers

Answer:

x + $0.30 = y

Step-by-step explanation:

hope this helps!

Answer:

(x,0.3*x)

Step-by-step explanation:

the equation would be 0.3*x=y where x is days and y is total cost. so the ordered pair would be (x,y). swapping 0.3*x for y is where (x,0.3*x) is derived from. Since there will be no negative days and the fee only applies at midnight x must be positive and an integer.

Mario compares random download times of movies from three different services using the table below.
Service
Download Time
(minutes)
4.9.4.7, 5.0, 4.6, 4.8
Who Knew
Amazing
Prime
4.6. 4.6. 4.8.4.6, 4.9
Peach TV
4.9.4.9, 5.1, 5.0, 5.1
Which service provides the fastest mean download speed?

Answers

Answer:

Who Knew Mean = 4.825

Amazing prime mean =

Peach TV mean = 5.025

Amazing prime wins the fastest speed with 4.75 seconds. Hope this helps!

4.826 i’m not sure i tried though

explanation 4.9-79-638

oscar is buying soil for his plants. he needs to fill one pot with 8 cups of soil and another pot with 3 gallons of soil. if the price of soil is $2.50 per quart, how much, in dollars, will he pay in all?


PLEASE HELP

Answers

Answer:

Total dollars = 35 dollars.

Step-by-step explanation:

Below is the given values:

Number of cups = 8 cups

Number of gallons = 3 gallons

Price of soil per quart = $2.50

Now convert the cups and gallons into quart.

Total quart = 8 cups + 3 gallons

Total quart = 8 / 4 quart + 3 x 4 quarts

Total quart = 2 quart + 12 quart

Total quart = 14 quart

Total dollars amount = $2.50 per quart x 14 quart

Total dollars = 35 dollars.

A bicycle shop owner

Answers

Answer:

275, 350, 450, 550, 675

Step-by-step explanation:

Arrange in order

275, 300, 450, 490, 675

range 275 to 675

median 450

mean 438

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

Raise 300 to 350

Raise 490 to 550

New set of prices

275, 350, 450, 550, 675

range 275 to 675     same

median 450     same

mean 460    increased

What's the Area of the parallelogram

Answers

Answer:

30

Step-by-step explanation:

Area of a parallelogram = base length * height

The parallelogram has a given base length of 10 cm and a given height of 3 cm

Hence, area = 10 * 3 = 30cm^2

Which statement best explains the relationship
between lines AB and CD?

a. They are parallel because their slopes are equal.

b. They are parallel because their slopes are negative
reciprocals.

c. They are not parallel because their slopes are not
equal.

d. They are not parallel because their slopes are
negative reciprocals.

Answers

Answer:

A) they are parallel because their slopes are equal.

Step-by-step explanation:

Parallel means that their slopes are equal

If they were negative reciprocals they would be perpendicular.

if 6 is added to three quarters of a certain number, the result is 42 . Find the original number​

Answers

Answer:

Step-by-step explanation

Hello!

3x/4 + 6=42

3x/4=42-6 = 36

3x = 36*4

3x = 144

x= 144/3 =48

3/4 of  48  = (48*3)  / 4 =36

36+6=42

the original number​ is 48

Answer:

x=48

Step-by-step explanation:

3x/4+6=42

3x/4=42-6

3x/4=36

cross multiply

3x/3=144/3

x=48

PLEASE HELP ME
Challenge In a​ company, 85 ​% of the workers are woman . If 585 people work for the company who​ aren't woman ​, how many workers are there in​ all?
there are ___ workers in all

Answers

Answer:

3900

Step-by-step explanation:

let x= number of workers

we know that .15 (or 1-.85) of the people are not women

so

.15x=585

585/.15=x

3900=x

Write an equation for a line perpendicular to y = -5x - 4 and passing through the point (-5, -4) ​

Answers

Answer:

Step-by-step explanation:

A perpendicular slope is one that is the opposite reciprocal of the one given. The line given, y = -5x - 4, is a line in slope-intercept form where m is the slope and b is the y-intercept. That means that the slope of the given line is -5; therefore, the perpendicular slope is 1/5. Passing through the point (-5, -4), we have

[tex]y-(-4)=\frac{1}{5}(x-(-5))[/tex] which simplifies a bit to

[tex]y+4=\frac{1}{5}(x+5)[/tex] That's the line in point-slope form, so let's also get it into slope-intercept form, which means that we solve the point-slope form equation for y:

[tex]y+4=\frac{1}{5}x+1[/tex] and

[tex]y=\frac{1}{5}x+1-4[/tex] gives us, finally,

[tex]y=\frac{1}{5}x-3[/tex]

Identify the 3D shape shown below

Answers

Answer:

square pyramid...........

Answer:

SQUARE PYRAMID

Step-by-step explanation:

what is the solution for 3(x+3)=12

Answers

Answer: 3×4=12

Step-by-step explanation:

Brackets: X=1 , so 1+3=4 and 3+4=12


The sum
of two consecutive
integers is 8,641.
What is the smallest integer?

Answers

Answer:

sim eu também preciso desta respota

Am I correct if not plz asap help I have less Than 4 minutes

Answers

Yes it is I think hope this helps

What points does y-4=-2(x-6) go through

Answers

Answer:

(6, 4)

Step-by-step explanation:

y-4=-2(x-6) <=> y-y1 = s(x-x1)

(x1, y1) => (6, 4)

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