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solniwko [45]
3 years ago
14

A person can order a new car with a choice of 8 possible​ colors, with or without air​ conditioning, with or without automatic​

transmission, with or without power​ windows, and with or without a CD player. In how many different ways can a new car be ordered with regard to these​ options?  
Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

Answer:

10 x 2! x 2! x 2! x 2! = 10 x 16 = 160 ways.

Step-by-step explanation:

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Please help me haha!
DanielleElmas [232]

Answer:

w=4

Step-by-step explanation:

2+6=8

8/2=4

w is 4 because half of 8 is 4.

Honestly this is my best guess idk.

5 0
3 years ago
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What is 8×8=n×10 plz i need this​
spin [16.1K]

Answer:

n=32/5

Step-by-step explanation:

8 0
2 years ago
four spheres of radius 6cm just fit inside a cylinder calculate the volume inside the cylinder that is empty leave your answers
Alekssandra [29.7K]

Answer:

The volume inside the cylinder is  1152\pi\ cm^3.

Step-by-step explanation:

Given : Four spheres of radius 6 cm just fit inside a cylinder.

To find : Calculate the volume inside the cylinder that is empty ?

Solution :

The volume of the cylinder is volume of 4 spheres.

The volume of sphere is V=\frac{4}{3}\pi r^3

The radius is 6 cm.

The volume of four spheres is

V=4\times \frac{4}{3}\times \pi\times (6)^3

V=1152\pi\ cm^3

Therefore, the volume inside the cylinder is  1152\pi\ cm^3.

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3 years ago
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Suppose <img src="https://tex.z-dn.net/?f=m" id="TexFormula1" title="m" alt="m" align="absmiddle" class="latex-formula"> men and
ollegr [7]

Firstly, we'll fix the postions where the n women will be. We have n! forms to do that. So, we'll obtain a row like:

\underbrace{\underline{~~~}}_{x_2}W_2 \underbrace{\underline{~~~}}_{x_3}W_3 \underbrace{\underline{~~~}}_{x_4}... \underbrace{\underline{~~~}}_{x_n}W_n \underbrace{\underline{~~~}}_{x_{n+1}}

The n+1 spaces represented by the underline positions will receive the men of the row. Then,

x_1+x_2+x_3+...+x_{n-1}+x_n+x_{n+1}=m~~~(i)

Since there is no women sitting together, we must write that x_2,x_3,...,x_{n-1},x_n\ge1. It guarantees that there is at least one man between two consecutive women. We'll do some substitutions:

\begin{cases}x_2=x_2'+1\\x_3=x_3'+1\\...\\x_{n-1}=x_{n-1}'+1\\x_n=x_n'+1\end{cases}

The equation (i) can be rewritten as:

x_1+x_2+x_3+...+x_{n-1}+x_n+x_{n+1}=m\\\\&#10;x_1+(x_2'+1)+(x_3'+1)+...+(x_{n-1}'+1)+x_n+x_{n+1}=m\\\\&#10;x_1+x_2'+x_3'+...+x_{n-1}'+x_n+x_{n+1}=m-(n-1)\\\\&#10;x_1+x_2'+x_3'+...+x_{n-1}'+x_n+x_{n+1}=m-n+1~~~(ii)

We obtained a linear problem of non-negative integer solutions in (ii). The number of solutions to this type of problem are known: \dfrac{[(n)+(m-n+1)]!}{(n)!(m-n+1)!}=\dfrac{(m+1)!}{n!(m-n+1)!}

[I can write the proof if you want]

Now, we just have to calculate the number of forms to permute the men that are dispposed in the row: m!

Multiplying all results:

n!\times\dfrac{(m+1)!}{n!(m-n+1)!}\times m!\\\\&#10;\boxed{\boxed{\dfrac{m!(m+1)!}{(m-n+1)!}}}

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Determine if each table is a proportional relationship what is 1 2 and 3b
iris [78.8K]

Answer: can you give me more information please

Step-by-step explanation:

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