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bagirrra123 [75]
3 years ago
12

Four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and tre

asurer. The first perosn to be selected is the chairperson, the second to be selected as vice chairperson, the third is secretary, and the fourth is treasurer.
How many different leadership structures are possible?
Mathematics
1 answer:
alexdok [17]3 years ago
3 0

Answer:

So, exists 5527200 different leadership structures.

Step-by-step explanation:

We know that four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and treasurer. The first perosn to be selected is the chairperson, the second to be selected as vice chairperson, the third is secretary, and the fourth is treasurer.

Since the order of the people is important to us, we have the following:

50·49·48·47=5527200

So, exists 5527200 different leadership structures.

You might be interested in
Which number line shows the solution to the inequality 8x – 9 < –41?
lora16 [44]

Answer:

A

Step-by-step explanation:

In the inequality, you want to simplify it to get x on one side, and the numeric values on the other.

So, moving 9 to the other side, you get, 8x<-32

Then, you can divide by 8 on both sides to get x alone.

You get, x<-4.

From this, we can see that it should be an open dot at -4, and pointing to the left.

So, the correct number line is A.

7 0
2 years ago
Help help help help please guys
maria [59]
I think the answer is 9
It's a smaller version of the other figure.
21/3=7
27/3=9
3 0
3 years ago
Learning Task 4. Solve the problem by applying the sum and product of roots
Delvig [45]

Answer:

<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>

Step-by-step explanation:

For a quadratic equation:

x^2+bx+c=0

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.

We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:

P=2(L+W)=36

A=L.W=80

Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.

Thus we use the semi perimeter instead as P/2=L+W=18

The quadratic equation is, then:

x^2-18x+80=0

Factoring by finding two numbers that add up to 18 and have a product of 80:

(x-10)(x-8)=0

The solutions to the equation are:

x=10, x=8

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

6 0
3 years ago
Line segment GH is divided by point J in the ratio of 1:4. Endpoint G is at (7,5) and point J is at (10, 14).
wlad13 [49]

Answer:

(x2 , y2) = (22,50)

Step-by-step explanation:

Given:

m1 : m2 = 1:4

(x1 , y1) = (7 , 5)

(X ,Y) = (10 ,14)

Find:

(x2 , y2)

Computation:

X = (m1x2 + m2x1) / (m1+m2)

10 = [(1)(x2) + (4)(7)]/(1+4)

10 = [x2 + 28]/5

22 = x2

Y = (m1y2 + m2y1) / (m1+m2)

14 = [(1)(y2) + (4)(5)]/(1+4)

14 = [y2 + 20]/5

70 = y2 + 20

50 = y2

(x2 , y2) = (22,50)

7 0
3 years ago
Write an expression that can be used to multiply 6x198 mentally
VashaNatasha [74]
6×100
6×90
6×8
hope this helps
7 0
3 years ago
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