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joja [24]
3 years ago
13

Four mathematicians, three physicists, and an engineer are to be seated equally spaced around a circular table. How many differe

nt arrangements are possible if the mathematicians must all sit together (in four consecutive seats) and the physicists must all sit together (in three consecutive seats)? (As usual, two arrangements are identical if one is a rotation of the other.)
Mathematics
1 answer:
Vesna [10]3 years ago
3 0

First, we can choose the seats for the four mathematicians.  Then we seat the physicits, then the engineer.  There are 4! ways to seat the mathematicians, then 3! ways to seat the physicists, then 1! ways to seat the engineer.  But then we must divide by 8, because we can rotate the table, so there are 8!*4!*3!/8 = 725760 ways to seat everyone.

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Divide. 2/7÷1/3 = pls help free points
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Hi there,

So the problem is 2/7 ÷ 1/3

well the answer to this is 6/7

In order to solve this is to cross multiply so

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Hope this is correct :)

Have a great day

8 0
2 years ago
Read 2 more answers
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miv72 [106K]

Answer:

Population density = 148.22\ \text{people per square kilometer}

Step-by-step explanation:

The attached figure shows the dimension of an island.

Population density is equal to total population per unit land area.

Firstly we will find the area of the triangle using Pythagoras theorem as follows :

H^2=B^2+P^2

H is Hypotenuse, B is base and P is perpendicular

B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km

Area of triangle is given by :

A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2

\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}

Hence, the population density is 148.22\ \text{people per square kilometer}.

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