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Alex787 [66]
3 years ago
7

A room contains 8 ​people, each of a different age. The people leave the room in random​ order, one at a time. What is the proba

bility that they leave the room in ascending order of their ages​ (youngest to​ oldest)? The probability that they leave the room in ascending order of their ages is nothing.
Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

Answer:

2.48 × 10⁻⁵

Step-by-step explanation:

Number of people in the room of a different age = 8 people

The number of ways people can leave the room  = 8!

                                                                                 = 40320

They leave the room in ascending order is  = 1 way

The probability they leave the room in ascending order of their ages =

\frac{1}{40320} = 2.48 × 10⁻⁵

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A car salesman receives a base weekly salary of $150 plus a commission of $325 per car sold. What is the equation that models th
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Given :

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Solution :

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3 years ago
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A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and
nasty-shy [4]

Answer:

correct option is C)  2.8

Step-by-step explanation:

given data

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in water loop formed =  10 loops

solution

we consider  mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = \rho

case (1)  

when 8 loop form with 2 adjacent node is \frac{\lambda }{2}

so here

l = \frac{8 \lambda _1}{2}      ..............1

l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}

and we know velocity is express as

velocity = frequency × wavelength   .....................2

\sqrt{\frac{Tension}{mass\ per\ unit \length }}   =   f × \lambda_1

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when 8 loop form with 2 adjacent node is \frac{\lambda }{2}

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from equation 2

f × \lambda_2 = f  × \frac{1}{5}  

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1 - \frac{\rho _{stone}}{\rho _{water}}  = \frac{16}{25}

so

relative density \frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}

relative density = 2.78 ≈ 2.8

so correct option is C)  2.8

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