A club with 30 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?

Answers

Answer 1

Answer: A club has 30 members and they need to elect 5 officers, the President, V-Pres., the secretary, the treasurer and the historian.
Find how can this be done?

Now, let’s try to solve by finding the possible ways to make this election.
30 People is to 5 = 30P5
=> 30! / (30 - 5)!
=> 30! / 25
=> 30 x 29 x 28 x 27 x 26
=> 17 100 720

Thus, the answer is 17 100 720

Answer 2

Answer:

Answer:

17,100,720

Step-by-step explanation:

got it right

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The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?Which three expressions could be used to represent the numbers?

Answers

the first number is 11, the second is 7, and the third one is 44 if you add them all together you'll find that they all add up to 62, I would add the work but I need to get offline for a few minutes I hope I helped!

Showing work:
x+(x-4)+4x=62
6x-4=62
6x=66
x=11
The numbers are: 11, 7, 44

PLEASE HELP METhe histogram shown represents the funds (dollars) raised by a number of fundraisers in a community to help the poor. How many fundraisers raised less than $500?

A. 16

B. 33

C. 32

D. 30

Answers

b. 33

add all the members that is 500 and below

4+8+10+11=33

A firm produces 16,200 units at a total cost of $37,585.60. Find the cost per unit to the nearest cent.2.33
2.32
0.43
0.44

Answers

There are a total of 16 200 units with a total costs of 37 585.60 dollars. Now, Given with the choices for the answer, let's find out which one is correct. To be able to get the answer, simply divide the total costs, with the total number of units. => 37 585.60 dollars / 16 200 units => 2.3201 dollars per unit.Next, we need to round this cents to the nearest given options.Since the number next to hundredths is less than 5 , the let's round it to : => 2.32. - this is the correct answer.

Entre os alunos que frequentam o Ensino Profissional na escola do Carlos foi recolhida umaamostra de 50 aos quais se colocou a questão:

«Qual das seguintes frases exprime melhor o teu gosto pelo estudo da Matemática?

Gosto muito.
Gosto de certos conteúdos.
Gosto pouco.
Não gosto nada.»
O seguinte gráfico traduz as respostas obtidas à questão anterior.

1.1. Indique a variável em estudo e a sua natureza.

1.2. Calcule a percentagem de alunos que responderam «Gosto muito».

1.3. Observe a seguinte tabela ainda referente à mesma questão.

Rapazes

Raparigas

Gosto muito

12

6

Gosto de certos conteúdos

8

7

Gosto pouco

6

6

Não gosto nada

2

3

Escreva um pequeno texto no qual justifique que, neste estudo, os rapazes mostraram ter um maior gosto pelo estudo da Matemática

Answers

Answer:

taco

Step-by-step explanation:

no hablos espanol

Billy invests £800 for 5 years in a savings account.By the end of the 5 years he has received a total of £96 simple interest.
Work out the annual rate of simple interest.

Answers

Answer:

2.4%

Step-by-step explanation:

Simple interest (I) is calculated as

I = $(PRT)/(100)$

where P is the principal, R the rate of interest and T time in years

Here I = 96, P = 800 and T = 5, thus

96 = $(800R(5))/(100)$ = $(4000R)/(100)$ = 40R ( divide both sides by 40 )

R = $(96)/(40)$ = 2.4%

I NEED HELP PLEASE! Jenny's birthday cake is circular and has a 30 cm radius. Her slice creates an arc of with a central angle of 120 degrees. What is the area of Jenny's slice of cake? Give your answer in terms of pi. PLEASE HELP HELP HELP!!!!

Answers

When a circle (i.e. the cake) is cut through the radius, the parts formed are referred to as the sectors of the circle. The area of the slice in terms of $\pi$ is $300 \pi$

Given that

$r = 30cm$ --- the radius

$\theta = 120^o$ --- central angle

The area of the slice is calculated using the area of a sector, as follows:

$Area = (\theta)/(360) * \pi r^2$

So, we have:

$Area = (120)/(360) * \pi * 30^2$

$Area = (1)/(3) * \pi * 900$

$Area = \pi * 300$

$Area = 300\pi$

Hence, the area of the slice of cake is $300\pi$

Learn more about area of sectors at:

brainly.com/question/7512468

Ok, so if the angle is 120 degrees, its one third of the full cake (which is 360 degrees). So the area of the whole circle (worked out with area = pi * r^2 where r is 30) gives 900*pi, and so one third of that (because her slice is one third) is 300pi.

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