Kathy wants to paint the faces of her standard six-sided die so that each face is either red or blue. However, she does not want all of the faces to be the same color. How many ways are there for Kathy to paint her die?

Answers

Answer 1

Answer:

The number of ways Kathy can paint her die is 52 ways

Step-by-step explanation:

The permutation and combination related question is answered as follows;

The number of faces in the six-sided die = 6

The number of colors available for painting the six-sided die = 2 colors

Therefore, we have, the total number of ways Kathy can paint her die, 'n', given as follows;

n = ₆P₂ + 2₄P₄ + 2₄P₃ + ₄P₂

Where;

₆P₂ = The number of ways of arranging 2 objects in 6 spaces = 30

₄P₄ = The number of ways of arranging 4 objects in 4 spaces = 1

₄P₃ = The number of ways of arranging 3 objects in 4 spaces = 4

₄P₂ = The number of ways of arranging 2 objects in 4 spaces = 12

∴ n = 30 + 2×1 + 2×4 + 12 = 52

The number of ways Kathy can paint her die, n = 52 ways.


Related Questions

What’s the answer and can someone please explain it?

Answers

(10^4)^2
=10^4*2
=10^8

Write the equation of the line in slope intercept form that has a slope of -1/5 and contains (-5,-3)

Answers

Answer:

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

Step-by-step explanation:

As we know the point slope form of an equation is as follows -

y - y₁ = m ( x - x₁ )

As we have slope , m = [tex]-\frac{1}{5}[/tex]

And point (x₁ , y₁ ) = ( -5, -3)

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

⇒ y + 3 = [tex]-\frac{1}{5}[/tex] ( x + 5 )

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

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

⇒ y =  [tex]-\frac{1}{5}[/tex] x - 4

So, the equation becomes

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

Explain how to find the distance between 1.5 and any point, n, on a number line.​

Answers

Do you have a picture

6. A piece of carpet is 240cm long.
Mr Jones cuts it into three pieces in the ratio 1 : 2 : 5
Work out the length of the longest piece of carpet.

Answers

Answer:

150 cm.

Step-by-step explanation:

The number of parts = 1 + 2 + 5 = 8 so:

the largest part = 5/8 * 240

= 5 * 30

= 150 cm.

Is there anybody here good at medical terminology??? pls I need help on one of my questions.

Answers

Answer:

I could try.

Step-by-step explanation:

which graph shows a system of equations that can be entered into a graphing calculator to solve 16.9x-3.2x+18

Answers

Answer:

36.08

Step-by-step explanation:

This my answer thanks

The equation that can be entered into a graphing calculator to solve 16.9x–2.3=3.2x+18 are y = 16.9x - 2.3 and y = 3.2x + 18 respectively. Option B is correct.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

The equation is

16.9x - 2.3 = 3.2x + 18

From options
y = 16.9x - 2.3 and y = 3.2x + 18

Hence, the equation that can be entered into a graphing calculator to solve 16.9x–2.3=3.2x+18 are y = 16.9x - 2.3 and y = 3.2x + 18 respectively.

Learn more about equations here:

brainly.com/question/10413253

#SPJ2

6x times (-2y)

Urgent please send solution

Answers

Answer:

_2y6x

Step-by-step explanation:

this is the answer

I hope it will helps you

Write an equation, in standard form, using the following given info: M = 10
and it passes through the point (6,2) *
-10x + y = -58
-10x + y = 58. -10x - y = -58
10x + y = -58

Answers

Given:

m = 10

The line passes through the point (6,2).

To find:

The equation of line in the standard form.

Solution:

If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (6,2) and m = 10. So, the equation of line is

[tex]y-2=10(x-6)[/tex]

[tex]y-2=10x-60[/tex]

[tex]y-10x=-60+2[/tex]

[tex]-10x+y=-58[/tex]

Therefore, the correct option is A.

Which video game do you guys(and girls) like more?
*Halo (series)
*Call of duty WW2
*Call of duty Cold war
*Assassin's Creed(series)
*Pokemon (series)
*fortnite
*Titanfall (series)

Answers

Answer:

ALL OOF THEM

Step-by-step explanation:

Answer:

I like pokemon the best out of these choices. I am a logical thinker and love to think about the math involved (doing calcs) nuzlockes are such a fun challenge

Consider the function p(t) show.identify the intervals on which the function appears to be in increasing

Answers

Answer:A

Step-by-step explanation:

what is the answer to 1/2d+6

Answers

Answer:

Step-by-step explanation:

What you gave, is an expression. There is no answer. The only thing that can be done is factor out the 1/2

[tex]\frac{1}{2}(d+12)[/tex]

use equivalent expression 20a+18+16a

Answers

Answer:

36a+18

Step-by-step explanation:

20a+16a=36a

18 does not have a "like term", so just leave it.

Function 1 is defined by the equation p= --3/2r - 5. function 2 is defined by the following table. Which function has a greater y-intercept. A: Function 1 B: Function 2 C: The functions have the same y-intercept.

Answers

0-5. Here’s your answer

The y-intercept of function  1 is -5.

The y-intercept of function 2 is -5.

Option C is the correct answer.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Consider the function to be in the form of p = mr + c

Where x is the y-intercept.

Function 1.

p = (-3/2)r - 5 _______(1)
y-intercept = -5

Function 2.
Let p = mr + c

Take two pairs from the table.

(0, -5) and (1, -6.5)

m = (-6.5 + 5) / (1 - 0) = -1.5

(0, -5) = (r, p)

-5 = -1.5 x 0 + c

c = -5

Now,

p = -5x - 5 ______(2)

y-intercept = -5

From (1 ) and (2)

Both have the same y-intercept.

Thus,

Function 1 and Function 2 have the same y-intercept.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

which linear any qualities could represent the given table of values

Answers

B is correct cause it was a lot of things to do and it was hard for me to do

(3) need help plz Asap

Answers

Answer:

brainlist plzz

Step-by-step explanation:

D....................................

A model of a famous statue is 3 1/2 inches tall. The actual statue is 5 1/4 feet tall. What is the ratio of the height of the model to the height of the actual statue in simplest form?

Answers

Given:

A model of a famous statue is [tex]3\dfrac{1}{2}[/tex] inches tall. The actual statue is [tex]5\dfrac{1}{4}[/tex] feet tall.

To find:

The the ratio of the height of the model to the height of the actual statue in simplest form.

Solution:

We have,

Height of the model = [tex]3\dfrac{1}{2}[/tex] inches

Height of the actual statue = [tex]5\dfrac{1}{4}[/tex] feet.

Now, the ratio of the height of the model to the height of the actual statue is:

[tex]\text{Ratio}=\dfrac{\text{Height of model}}{\text{Height of actual statue}}[/tex]

[tex]\text{Ratio}=\dfrac{3\dfrac{1}{2}\ in.}{5\dfrac{1}{4}\ ft}[/tex]

[tex]\text{Ratio}=\dfrac{\dfrac{3(2)+1}{2}\ in.}{\dfrac{5(4)+1}{4}\ ft}[/tex]

[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\ ft}[/tex]

We know that 1 ft = 12 in.

[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\times 12\ in.}[/tex]

[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{21\times 3\ in.}[/tex]

[tex]\text{Ratio}=\dfrac{7}{2\times 21\times 3}[/tex]

[tex]\text{Ratio}=\dfrac{1}{2\times 3\times 3}[/tex]

[tex]\text{Ratio}=\dfrac{1}{18}[/tex]

Therefore, the ratio of the height of the model to the height of the actual statue in simplest form is [tex]\dfrac{1}{18}[/tex].

-2x - y = 1
-6x=3y+3


Answers

Answer: All Real Number

Step-by-step explanation:

This is a system of equation, and generally, there are three ways to solve:

eliminationsubstitutionaugmented matrix

Here, we are going to use elimination

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

Given

-2x-y=1

-6x=3y+3

Put them in the same order

-2x-y=1

-6x-3y=3

Multiply 3 on both sides for the first equation

-6x-3y=3

-6x-3y=3

We subtract the first equation from the second equation

0=0

The answer will be All Real Numbers, which means any real number will fit this equation. In the graphing method, these two equations will overlap each other.

Hope this helps!! :)

Please let me know if you have any questions

Rob is saving to buy a new MP3 player. For every $11 he earns babysitting, he save $5. On Saturday, Rob earned $33 babysitting. How much money did he save?

Answers

Answer:

15

Step-by-step explanation:

if every $11 dollars he save $5, and sense he made $33 ( he done three babysitting)

11-5= 5 (does that three times) [5+5+5} when you add the three five , u should have 15 dollars.

so he save 15 dollars.

yesterday the temperature was 7 degrees fahrenheit . Today the temperature is 0 degrees fahrenheit . What was the change in the temperature from yesterday to today?

Answers

Answer:

-7

Step-by-step explanation:

HOPE THIS HELPS

⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️

Answers

Answer: lol why so expensive.

911÷406 con operaciones​

Answers

Answer:

2.24384236453

Step-by-step explanation:

division/división

Answer:

Step-by-step explanation:

2.24384236453 divicion y divicion

PLEASE HELP ASAP?!?
What are the sine, cosine, and tangent ratios for

Answers

i’m going to assume that T is the reference angle.
sine = 8/17
cosine = 15/17
tangent = 8/15

what is the surface area of this cylinder ( rounded to nearest tenth)​

Answers

Answer:

Step-62.8m^2

Step-by-step explanation:

Surface area of a cylinder =  

r = 2m, h = 3m

= 62.83185

Can anyone help me pls???

Answers

Answer:

It's

Step-by-step explanation:

9a-3b

because 3×3a is 9a and 3×-b is -3b hope this helps

Answer:

8) A   9) B

Step-by-step explanation:

For question 8 just combine like terms, combine the numbers that have the same variables. Number 9, distribute the 3 to the rest of the equation.

Hope this helped :)

i don't understand this! can someone help me

Answers

Answer:

oh dang i hated doing these when i was in sixth grade lol umm  55?????

Step-by-step explanation:

Factor the expression
27 - 9x + 15y

Answers

Simple,

factor out a 3...

3(9-3x+5y)

Thus, your answer

Answer:

-3(3x-5y-9)

Step-by-step explanation:

5x+3y-z-4x-3y-z help please ​

Answers

The simplified version of this x-2z

Step-by-step explanation:

You need to start by combining like terms. You can start with the terms that have the variable x in them. By combining those terms, the equation becomes x+3y-z-3y-z.

From here, you can combine the terms 3y and -3y, which bring the equation to x-z-z.

From here, combine the terms with the variable z. This would bring the equation down too x-2z, your final answer.

add x³-2x²y+4xy²-y³,2x³-5xy²+3x²y-4y³​

Answers

Step-by-step explanation:

the answer is x times (x^2 +xy-y^2 - x^2 y^32)

Which of the following is a solution of y-x<-3?
(6,2)
(2,6)
(2,-1)

Answers

Answer:

2,-1 es la respuesta de -3

Which of the following constants can be added to x ^2 - x to form a perfect square trinomial?
1/4
1/2
1

urgent

Answers

Answer:

Its 1/4 boys dont worry i got you

Step-by-step explanation:

Other Questions
Laura says that you shouldalways divide the bigger numberby the smaller number. Do youagree with her or disagree with her?why? Translate to EnglishIra a un banco y pondra un poco all. Luego ira a darles un poco a mi mam y pap. Luego ira a buscar algo de juego. Y tal vez ir al men del dlar y comprar un montn de comida. Con toda la comida le dara a los vagabundos. 2.3. A brand of uncooked spaghetti comes in a box that is a rectangular prismwith a length of 9 inches, a width of 2 inches, and a height of 1 1/2 inches.What is the surface area of the box? Explain. 2 out of every 7 come on a weekend. what percentage of days come on a weekend? determine the answer to the nearest tenth of a percent I'm confused can someone maybe help me? (Picture below) Find the y-intercept and the slope of the line.5x+4y=-3Write your answers in simplest form.y-intercept:Slope: No choices solve on own What is 817x45 in standerd algorithm pls help -2(x-3)-2simplify the expression Complex chemical processes such as photosynthesis occur in a controlled series of steps with the help ofA. enzymesB. nucleic acidsC. phospholipidsD. fatty acids help please uwu brainly! What is 14 more than n ? EASY ANSWER PLEASE WANT BRAINLEIST SURE JUST ANSWER! Ayuda con esta tmb plsss critics of social media say the socializing online Which word describes having a lack of ideas?multitudevacuousevacuatenegate Necesito agua.O Not this oneO Don't choose this one eitherO Tengo hambreO Tengo sed How did South Carolinas decision to secede affect Louisiana and the rest of the southern states?It caused other states to feel pressure to make a decision on the issue of slavery.It had an insignificant effect on other states because they had voted to secede prior to South Carolinas decision.It led to most southern states experiencing an increase in outbreaks of violence over the issue.It made Louisiana and other southern states remain undecided and feel South Carolina moved too quickly. 7. Write the order of operations. This tell about the purposes and caveat of the information two similar figures have corresponding sides that measure 4 inches and 7 inches