If a family has 5 children, in how many ways can the parents have 2 boys and 3 girls as children?

Answers

Answer 1

Considering the definition of combination,  if a family has 5 children, in 10 ways the parents can have 2 boys and 3 girls as children.

What is combination

Combinations of m elements taken from n to n (m≥n) are called all the possible groupings that can be made with the m elements in such a way that not all the elements enter; the order does not matter and the elements are not repeated.

To calculate the number of combinations, the following expression is applied:

[tex]mCn=\frac{m!}{n!(m-n)!}[/tex]

where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.

Ways the parents have 2 boys and 3 girls

If a family has 5 children, you can know that:

Among the 5 children, 3 are boys = 5C3 = [tex]\frac{5!}{3!(5-3)!}[/tex]= [tex]\frac{5!}{3!2!}[/tex]Among the 5 children, 2 are girls = 5C2 = [tex]\frac{5!}{2!(5-2)!}[/tex]= [tex]\frac{5!}{2!3!}[/tex]

So, you can observe that 5C3 is equal to 5C2. Then:

5C3 = 5C2 = [tex]\frac{5!}{3!2!}[/tex]= 10

Finally, if a family has 5 children, in 10 ways the parents can have 2 boys and 3 girls as children.

Learn more about combination:

brainly.com/question/25821700

brainly.com/question/25648218

brainly.com/question/24437717

brainly.com/question/11647449

#SPJ1


Related Questions

Select the values that make the inequality -b < 8 true. Then write an equivalent inequality, in terms of b. (Numbers written in order from least to greatest going across.)​

Answers

Answer:

true

Step-by-step explanation:

Answer: true

step by step explanation:

El 32%de 125 cual es la respuesta

Answers

Answer:

40

Step-by-step explanation:

=125x32

=4,000÷100

=40

Write the equation in point-slope form of the line that passes through (-8, 2) and has the slope of −34 .

Answers

Answer:

y = -34x - 270

Step-by-step explanation:

m = -34, y = 2, x = -8

y = mx + b

2 = -34(-8) + b

b = 2 - 272

b = -270

y = -34x - 270

Graph the function. Identify the domain and range.

Answers

Domain: (-00, -1) U (1, ∞0)
Range: (2, ∞)
Hope this helps

Question
Simplify: (-12az² — 2z³) + (-2a³ +7a²z) − (−4a²z + 8az²),

Answers

Hope this helped :)
Check the image below for working

one fifth times w equals negative one eight what is w

Answers

If one fifth times w equals negative one eight then w = -5/8

What is Rational numbers?

A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero. In other words, a rational number can be expressed as p/q, where p and q are both integers and q ≠ 0.

given that one fifth times w equals negative one eight

we have to find the value of w

one fifth = 1/5

one fifth times w = (1/5)* w

negative one eighth = - 1/8

now according to the question

one fifth times w equals negative one eight

(1/5) *w =  -1/8

now solve the equation , we get

w= (5) * (-1/8)

  = -5/8

Hence ,if  one fifth times w equals negative one eight then w = -5/8

learn more about of fraction here

https://brainly.com/question/10354322

#SPJ9

the middle term of the expansion
[tex] (ax + ay)^{n} [/tex]
is
[tex]14580x ^{3} y^{3} [/tex]
find the value of a and the value of n, where a, n are elements of N.​

Answers

Answer:

Hello,

a=3

Step-by-step explanation:

Since the middle term is x^3y^3 ==> n=6

Coefficient of  x^3y^3 is 20 (triangle de Pascal)

So a^6= 14580/20=729 ==> a=3

Jacob built a box with a volume of 90 cubic meters.
Choose all the boxes that Jacob could have built.

Answers

Answer:

A and D

Step-by-step explanation:

[tex]\sf \boxed{\text{\bf Volume of rectangular box = length * width * height}}[/tex]

A) Volume of the given box = 6 * 3 * 5

                                             = 90 cubic meters.

D) Volume of the given box = 3 * 2 * 15

                                             = 90 cubic meters

Solve for X: 4x+3x-x=-5+6x

Answers

Since the values on both sides of the expression are different, hence the equation has no solution.

Solving linear equations

Linear equation are equations that has a linear degree of 1. The standard linear equation is y = mx + b

Given the expression 4x+3x-x=-5+6x

Collect the like terms

4x+3x-x = -5+6x

4x+3x-x-6x = -5

7x - 7x = -5

Simplify

-0x = -5

0x = 5

x = 5/0

Since the values on both sides of the expression are different, hence the equation has no solution.

Learn more on linear function here; https://brainly.com/question/15602982

#SPJ1

The value of x is -5

What are algebraic expressions?

Algebraic expressions are expressions that comprised of;

variablestermsfactorscoefficientsconstants

They are also made of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc

Given the equation;

4x + 3x = -5 + 6x

Let's solve for x

We have;

collect like terms

4x + 3x - 6x = -5

Add or subtract like terms

7x - 6x = - 5

x = -5

Thus, the value of x is -5

Learn more about algebraic expressions here:

#SPJ1

Answer this question please

Answers

The correct option is option B) which is that the statement is true for all real numbers.

According to the question we have been given the inequality equation as

             |2s-7| ≥ -1

We know that for b<0,

         if |a| ≥ b then all real numbers.

Here we have been given,

           |a| = |2s-7|

            b = -1 <0

As it is fulfilling the above condition and also all the absolute values are non-negative. Therefore the statement is true for all real numbers.

Hence the solution of the  |2s-7| ≥ -1 is true for all real numbers that is option B) is the correct option.

Learn more about inequalities here : https://brainly.com/question/24372553

#SPJ9

I don’t understand, can someone help me :)

Answers

I think you are supposed to add the the numbers in that row and if it's more that 18 and less that 37 that's the answer. exapmle:

2,8,3,9,5

Add those together and get 27. 27 is less than 37 and more that 18 so it would be one of the answers.

I could be wrong but I'm pretty sure that is what you do

PLEASE HELP!!! 100 POINTS!

Solve the following system of equations for all three variables.
9x+y-3z=-9
10x-y+2z=8
-10x-y+4z=10

X = ___ , Y =___ , Z =___

Answers

Answer:

  x = 0; y = -6; z = 1

Step-by-step explanation:

You want to find the solution to the system of equations ...

9x+y-3z=-910x-y+2z=8-10x-y+4z=10

Solution

This set of equations is conveniently solved using the matrix row-reduction features of a scientific or graphing calculator, spreadsheet, or any of a number of apps or on-line calculators.

The attachment shows the solution to be ...

  (x, y, z) = (0, -6, 1)

__

Additional comment

Solving a system of three or more equations "by hand" often can be done by an ad hoc process. It can be done in systematic fashion using Gauss-Jordan reduction techniques, but that often gets messy. Similarly, Cramer's Rule can be used, but that math tends to involve more arithmetic operations than are really necessary.

Adding the first equation to the other two eliminates the y-variable and reduces the system to two equations in two unknowns.

  (9x +y -3z) +(10x -y +2z) = (-9) +(8) . . . . adding [1] and [2]

  19x -z = -1 . . . . simplified

  (9x +y -3z) +(-10x -y +4z) = (-9) +(10) . . . . adding [1] and [3]

  -x +z = 1 . . . . simplified

At this point, we could graph the two equations, or we can proceed algebraically.

Adding these two equations gives ...

  (19x -z) +(-x +z) = (-1) +(1)

  18x = 0   ⇒   x = 0

Using the second of the reduced equations, we find ...

 -x +z = 1

  0 +z = 1   ⇒   z = 1

And using the second of the original equations, gives us ...

  10(0) -y +2(1) = 8

  -y = 6 . . . . . subtract 2

  y = -6 . . . . multiply by -1

Then the solution is (x, y, z) = (0, -6, 1), as above.

ow:
(7-21)-(4+ 8) =

Answers

Answer:-26

Step-by-step explanation:

Answer:-14-12=-26

Step-by-step explanation: PEMDAS. You do the first parentheses which is 7-21, which will get you -14. Then you do the second parentheses, 4+8. That will get you 12. Then since there’s no multiplication/division, you go to addition/subtraction and since there’s a subtraction symbol in between the parentheses, that’s what you do. -14-12 which will get you -26.


Hope this helps!

Btw PEMDAS stands for (for those people who don’t know or don’t remember)

Parentheses

Exponents

Multiplication*

Division*

Addition’

Subtraction’

*do both together, whichever one comes first when reading it

do both together, whichever one comes first when reading it

I WIL VOTE BRAINLISET SOMEONE PLEASE HELP

Answers

Answer:

  26.0 cm

Step-by-step explanation:

Given quadrilateral ABCD with diagonal BD forming triangles ABD and BCD, and angles A=90°, C=52°, ADB=35°, and CBD=52°, you want the length of CD to 3 significant figures.

Law of Sines

The law of sines tells you the relation between sides and opposite angles is ...

  a/sin(A) = b/sin(B) = c/sin(C)

This lets us write two proportions that can be solved for the measure of CD.

In triangle ABD:

  BD/sin(A) = AB/sin(D)

  BD = AB·sin(90°)/sin(35°) = 12 cm/sin(35°) ≈ 20.921 cm

In triangle BCD:

  CD/sin(B) = BD/sin(C)

  CD = BD·sin(B)/sin(C) = 20.921 cm·sin(102°)/sin(52°) ≈ 25.969 cm

The length of CD is about 26.0 cm.

( m n ) (x) for x = −3

Answers

The value of the composite function (mn)(-3) is 9

How to determine the value of the composite function?

The given parameters are:

m(x) = x

n(x) = -3

The composite function is given as

(mn)(x)

The above composite function is calculated as

(mn)(x) = m(x) * n(x)

Substitute -3 for x in the above function

So, the above function becomes

(mn)(-3) = m(-3) * n(-3)

So, the above function becomes

(mn)(-3) = -3 *-3

Evaluate the product in the above equation

So, we have

(mn)(-3) = 9

Hence, the value of the composite function (mn)(-3) is 9

Read more about composite function at

https://brainly.com/question/10687170

#SPJ1

Complete question

If m(x) = x and n(x) = -3, calculate ( m n ) (x) for x = −3

How do you perform the indicated operation, 8 x 10^16/4 x 10^11?

Answers

8 x 10^16/4 x 10^11

do exponents first

8 x 10,000,000,000,000,000/4 x 100,000,000,000

than multiply

80,000,000,000,000,000/4 x 100,000,000,000

than divide

20,000,000,000,000,000x 100,000,000,000

2,000,000,000,000,000,000,000,000,000

One liter of interior paint covers 100 square feet. How many gallons of paint does it take to cover 800 square meters of walls?

Answers

By doing some changes of units, we can see that we will need 22.61 gallons of paint to cover 800 square meters.

How many gallons does it take to cover 800 square meters of walls?

We know that with one liter of interior paint we can cover 100 square feet.

Remember the relation between square feet and square meeters:

1ft^2 = 0.092 m^2

Then with one liter we can cover:

100ft^2 = 100*0.092 m^2 = 9.2 m^2

So the number of liters of paint that we need to cover the 800 m^2 is given by the quotient:

L = 800m^2/9.2m^2 = 86.96

We need 86.96 liters of paint, and the relation between liters and gallons is:

1 L = 0.26 gal

Then we need:

86.96 L = 86.96*(0.26 gal) = 22.61 gal

We will need 22.61 gallons of paint to cover 800 square meters.

Learn more about changes of units:

https://brainly.com/question/141163

#SPJ1

Hunter measured the middle school and made a scale drawing. The scale he used was 1 inch : 10 feet. The gym is 7 inches wide in the drawing. How wide is the actual gym?

Answers

Answer:

  70 ft

Step-by-step explanation:

You want the actual width of a gym that is represented as 7 inches on a drawing with a scale of 1 in : 10 ft.

Scale factor

Each inch represents 10 feet, so 7 inches will represent ...

  7 × 10 ft = 70 ft

The gym is 70 ft wide.

__

Additional comment

You can also write and solve an equation that shows the measures are proportional:

  actual width / drawing width = (10 ft) / (1 in) = (gym width) / (7 in)

Multiplying both sides of this proportion by 7 in, we have ...

  gym width = (7 in) × (10 ft)/(1 in) = 7 × 10 ft = 70 ft

Solve for x
3x-1=11

Answers

Answer: x = 4

Step-by-step explanation:

   Given:

3x - 1 = 11

   Add 1 to both sides of the equation:

3x = 12

   Divide both sides of the equation by 3:

x = 4

Write
17/100
as a decimal number.

Answers

Answer: 0.17

Step-by-step explanation:

Plug the equation into a calculator (17 divided by 100).

You can also think of the problem like this; move both decimal places to the left twice since, in 100, there are two 0's.

17 -> 0.17

100 -> 1

This can also work with 17 and 1000, but you would have to move the decimal place three times.

17 -> 0.017

1000 -> 1

0.17 is going to be the answer

Jonathan invests $4100 in two different accounts. The first account paid 4 %, the second account paid 13 % in interest. At the end of the first year he had earned $299 in interest. How much was in each account?

$ _____________ at 4 %

$ _____________ at 13 %

Answers

The amount invested in the account that paid 4% interest is $2,600

The amount invested in the account that paid 13% interest is $1,500.

What are the simultaneous equations that represent the equation?

a + b = 4100 equation 1

0.04a + 0.13b = 299 equation 2

Where:

a = amount invested in the account that paid 4% interest

b = amount invested in the account that paid 13% interest

How much was invested in each account ?

The first step is to multiply equation 1 by 0,04

0.04a + 0.04b  = 164 equation 3

Subtract equation 3 from equation 2

0.09b = 135

b = 135 / 0.09

b = $1500

a = 4100 - 1500 = $2,600

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

#SPJ1

The width of a painting is 24 centimeters shorter than its length, x. The area of the painting is 4,081 square centimeters. Which equation could be used to find the dimensions of the painting?​

Answers

We can't find dimension of the painting because length of painting is imaginary form.

WHAT IS A CUBOIDAL OBJECT ?

Six rectangles make up a cuboid, each of which is referred to as a face. The cuboid's six faces are denoted by the letters ABFE, DAEH, DCGH, CBFG, ABCD, and EFGH in the previous diagram.

A pair of opposing faces is formed by the top face ABCD and the bottom face EFGH. The opposing faces ABFE, DCGH, and DAEH, CBFG, have similar pairings. Adjacent faces are any two faces that are not opposite faces.

Consider the faces ABCD, ABFE, BCGF, CDHG, and ADHE that are close by.

CALCULATION

The width of painting = x- 24

the length of painting = x

according to question  

area of painting = 4081 [tex]cm^{2}[/tex]

i.e. [tex]x * (x - 24) = 4081[/tex]

[tex]x^{2} -24x-4081 = 0[/tex]

applying shridharacharya formula  :

 [tex]x = (-b ± √(b2 - 4ac)) / 2a.[/tex]

it has imaginary roots !!!

Roots: -12 + 62.745517768204i, -12 - 62.745517768204i

Root Pair: -12 ± √(3937)i

Factored: f(x) = (x + 12 + 62.745517768204i)(x + 12 - 62.745517768204i)

Discriminant: -15748

Vertex: (-12, 3937)

Sum of Roots (-b/a): -24

Product of Roots (c/a): 4081

∴ We can't find dimension of the painting because length of painting is imaginary form.

learn more about cuboidal object here :

brainly.com/question/19754639

#SPJ9

The equationnnnnnnnnnnnnn

Answers

Answer:

Step-by-step explanation:

9 ( 3 + 4) - 8 / 4 =

( use BIDMAS)

first step is brackets:

9 (7) - 8 / 4 =

next step is division:

63 - (8 / 4) =

63 - 2 = 61

hope that helps :)

Answer:

35

Step-by-step explanation:

thx for the pionts loolllll

The median for the given set of six ordered data values is 29.5

7 12 23 __ 41 50 What is the missing​ value?

Answers

Answer: 36

Step-by-step explanation:

Median of an even number data set, you would add the two middle numbers divided by 2. Answer is 36. See attached solution

Graph the line with slope
-1/2
passing through the point (-1,-4)

Answers

Equation of the line with slope -1/2 passing through the point (-1,-4) is x + 2y = -9

Given,

the slope of the line = -1/2

the line passes through the point (-1,-4)

=> s = -1 and t = -4

The following equation can be used to find the line's equation:

( y - t ) = slope ( x - s )

We get by substituting the values in the equation

=> y + 4 = - 1/2 * ( x + 1 )

=> x + 2y = -1 - 8

=> x + 2y = -9

Therefore, by using the formula for equation of line, we get the equation of the line with slope -1/2 passing through the point (-1,-4) as x + 2y = -9

Learn more about Equation of Line here:

https://brainly.com/question/17947737

#SPJ9

What is the value of the digit in the ones place in each number?431

Answers

Answer:

Step-by-step explanation:

400

30

1

400 FOR HUNDREDS

Find the value of B in the following equation if you know it
goes through the point (-4,1).
5x - 3y = B
B =

Answers

Answer:

17

Step-by-step explanation:

We can substitute x = -4 and y = 1 since the point lies on the line.

[tex]5(-4)-3(1)=B \\ \\ B=17[/tex]

I`m trying to figure this out. Please see question with multiple choices.

Answers

The equivalent expression of (10⁻² . 4⁵)⁻² is 10⁴ / 4¹⁰

How to find equivalent expression?

We have to find the expression that is equivalent to the expression below:

(10⁻² . 4⁵)⁻².

Therefore, using the law of indices,

[tex](x^{a} )^{b} = x^{ab}[/tex]

Hence, let's find the equivalent expression by applying the laws of indices.

(10⁻² . 4⁵)⁻² = 10⁴ . 4⁻¹⁰

Also, applying the law of indices,

[tex]x^{-b} = \frac{1}{x^{b} }[/tex]

Therefore,

10⁴ . 4⁻¹⁰ = 10⁴ / 4¹⁰

learn more on exponential expression here:https://brainly.com/question/10628562

#SPJ1

each day a bobcat drinks about 3 times as much water as a canada goose drinks. how much water can a bobcat drink in 1 day?

Answers

The water that a bobcat drink in 1 day will be 3x.

How to calculate the value?

Let the amount of water be represented by x.

From the information, it was stated that each day a bobcat drinks about 3 times as much water as a canada goose drinks.

Let the water that the Canada goose drank be represented as x

Therefore, the water that a bobcat drink in 1 day will be 3x.

Learn more about expressions on:

brainly.com/question/22048677

#SPJ1

The dose of posaconazole in the treatment of oropharyngeal candidiasis is 100 mg twice a day on the first day and then 100 mg once a day for the next 13 days. Posaconazole oral suspension (posaconazole, 40 mg/mL) is available in 4-fluidounce bottles. How many bottles should be dispensed to meet the dosing requirements?

Answers

The number of 4-fluidounce bottles that should be dispensed to meet the dosing requirements for the treatment of oropharyngeal candidiasis is 37.5 bottles.

How is the number of bottles determined?

To determine the number of 4-fluidounce bottles, we apply mathematical operations of addition, subtraction, division, and multiplication.

First, the total dosage is determined as 1,500 mg.

Since 40 mg/mL is available in 4-fluidounce bottles, the total dosage is divided by 40 mg/mL to determine the number of bottles required.

Data and Calculations:

Dose of posaconazole for the first day = 100 mg twice

= 200 mg (100 mg x 2)

The total number of days for the dosage = 14

Dose for next 13 days = 1,300 mg (100 mg x 13)

Total dosage = 1,500 mg (200 mg + 1,300 mg)

40 mg/mL = 4-fluidounce bottle

1,500 mg = 37.5 bottles (1,500/40)

Thus, the number of 4-fluidounce bottles is 37.5 bottles.

Learn more about mathematical operations at https://brainly.com/question/20628271

#SPJ1

Other Questions
Conducting yourself in a respectable manner shows that you have...good personal habits.a good diet.a lot of fun.good sportsmanship. Read the passage.Synesthesia: Mixed-Up SensesWe generally think of our senses as having completely separate functions. This is a logicalassumption; after all, we can't see with our ears or taste with our eyes. For people with acondition called synesthesia, however, senses can be conflated, or mixed together. Infact, the word synesthesia, derived from Greek, literally means "sensations together."This combining of senses causes interesting sensory experiences. For example, somesynesthetes. (people who experience synesthesia) imagine tasting a particular flavorwhenever they hear a certain sound. Others "hear" a sound in their minds whenever theytouch a certain object. The most common types of synesthesia involve colors. In onecommon subtype, for instance, synesthetes associate different colors with different lettersof the alphabet. Typically, synesthetes are not bothered by their synesthesia; in fact,many enjoy it.What is the main idea of the passage?People with synesthesia experience a fusing of different senses.People with synesthesia may hear a sound when they touch an object. you need to buy a car and are considering loans from two banks. bank 1 offers a loan at 7% interest plus an application fee, and bank 2 offers a loan at 7.5% interest plus an application fee. the loan terms are otherwise identical. based on this information, you can conclude that... describe the development of the jamestown colony from it disastrous beginnings to its later prosperity Complete the equation.(8 x 3) x 3 = (3 x 3) sheila and joe wells are married with no dependent children. during 2022, they have gross income of $159,800, deductions for agi of $5,500, and itemized deductions of $10,000. the wells' had $22,000 withheld by their employer for federal income tax. they have a tax (due/refund) of $ . At the Congress of Vienna after the defeat of Napoleon,who were theparticipants Which expression has the same value as 7 6 3 + 2 a. (7 6) 3 + 2 b. 7 6 (3 + 2) c. 7 (6 3) + 2 d. (7 6) (3 + 2) The most powerful type of congressional committee are known as________Such committees are the only committee with ability propose and write legislative bills.Conference committeeSpecial CommitteeJoint CommitteeStanding Committee a high-energy country music that emerged in 1940s, monroe wanted to feature acoustic stringed instruments, such as: the fiddle, banjo, mandolin, guitar, and upright bass Before the democratic revolution England was ruled by what kind of government? last question is How many people carried a tablet but not a cellphone? Read the excerpt from "Fern in Cane.From the train window I saw her as I crossed the road. Saw her on her porch, head tilted a little forward where the nail was, eyes vaguely focused on the sunset. Saw her face flow into them, the countryside and something that I call God, flowing into them.Which statement best describes Toomers use of diction in this excerpt?The repetition of the phrase saw her suggests that the speaker is intensely focused on Fern.The word vaguely implies that the speaker does not have much memory of his time with Fern.The description of Ferns head as tilted a little forward suggests that she be sleeping.The use of the word God illustrates that the narrator and Fern are relying on religion to comfort them. You get to spend the entire day with your favorite person. Who is it and what would you do together ? Write 5 sentences please . Absolute value of -3 is Question 7 of 15A piece of historical evidence is a secondary source if it:A. contains conclusions that cannot be corroborated by othersources.B. was created by someone who studied an event after it happened.C. relies on opinions rather than facts to support its main argumentsOD. is meant mostly for experts rather than the general public. (24d)Part 1: Past Paper 3 HQuestion No. 9:Simplify (2x + 3) (2x + 3)(x - 5)Give your answer in the form ax +bx+c How often must landlords repair damaged window screens? 15) Priscilla is doing squats in the weight room. She can currently squat 108 lbs, but she wants to beable to squat at least 176 lbs. If her training lets her squat an additional 4 lbs each week, at leasthow many weeks Please help level - 8th grade ELA