The company Sea Esta has 12 members on its board of directors. In how many different ways can it elect a president, vice-president, secretary and treasurer?

Answers

Answer 1

The company Sea Esta can elect a president, vice-president, secretary and treasurer in 495 different ways.

What is Combination in Mathematics?

In mathematics, a combination is a way of selecting a certain number of items from a larger set of items, without regard to the order in which the items are selected. It is a way to count the number of distinct subsets of a given size from a larger set.

The formula for combination is:

(n!) / (r! * (n-r)!)

The company Sea Esta has 12 members on its board of directors, and they need to elect a president, vice-president, secretary, and treasurer. The number of ways to elect these four positions is determined by using the formula of combination, which is:

Where n is the total number of options (in this case, the number of board members) and r is the number of positions to be filled (in this case, 4).

So, the number of ways to elect a president, vice-president, secretary, and treasurer is:

(12!) / (4! * (12-4)!) = (1211109) / (4321) = 495

Therefore, the company Sea Esta can elect a president, vice-president, secretary and treasurer in 495 different ways.

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Related Questions

Medians and IQRs. For each part, compare distributions (1) and (2) based on their medians and IQRs. You do not need to calculate these statistics; simply state how the medians and IQRs compare. Make sure to explain your reasoning. (a) (1) 3, 5, 6, 7, 9 (2) 3, 5, 6, 7, 20 (b) (1) 3, 5, 6, 7, 9 (2) 3, 5, 7, 8, 9 (c) (1) 1, 2, 3, 4, 5 (2) 6, 7, 8, 9, 10 (d) (1) 0, 10, 50, 60, 100 (2) 0, 100, 500, 600, 1000

Answers

I don’t know that but I think it’s from the NBA so watch one of the videos and you’ll find your answer

For each part, compare distributions (1) and (2) based on their medians and IQRs. The reasoning is explained is given.

What is median?

The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data point. To find the median, firstly arrange the data points in ascending order.

The middle number in the distribution of the provided data is known as the median. The range of values in the center of the scores is known as the interquartile range, or IQR.

(a). (1) 3, 5, 6, 7, 9 (2) 3, 5, 6, 7, 20

Since all the values are identical except the highest, the distributions' median and IQR will be equal.

(b). (1) 3, 5, 6, 7, 9 (2) 3, 5, 7, 8, 9

The median is higher for the second distribution because in the case of (2) the middle number is larger.

Since the final few digits in the second distribution are higher, the IQR would be wider for the second distribution, resulting in a greater third quartile for the second distribution than the first distribution.

(c).  (1) 1, 2, 3, 4, 5 (2) 6, 7, 8, 9, 10

Given that every number in the second distribution is greater than every other number in the first distribution, the median of the second distribution is higher than that of the first distribution.

Since there are the same number of items in both distributions and each number in both distributions is 1 larger than the preceding number, the IQR of both distributions would be identical.

(d). (1) 0, 10, 50, 60, 100 (2) 0, 100, 500, 600, 1000

Since all the values in the second distribution are higher than those in the first in this situation, the second distribution will have a higher median. Given that the spread of the numbers is wider in the second distribution than it is in the first, the second distribution will likewise have a higher IQR.

Therefore, the reasoning is explained.

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what is the value of 4 in 204?

Answers

Step-by-step explanation:

its on one's place

204 = 2× 100 + 4× 1

4 = 4 × 1

(a) At Smith's Bike Rentals, it costs $18 to rent a bike for 4 hours.
How many dollars does it cost per hour of bike use?

Answers

$4.50 you just do 18/4 to get ur answer per hour

Answer:My answer is $4.50 a hr. If u add 4.50 up 4 times, you will get 18. If u multiply 4.50 ×4 it will equal 18.

Step-by-step explanation:

−3xy ^5 (8y) Simplified

Answers

-24xy^6 is that simplified

-1/4(d+1)<2

HELP ME PLEASE

Answers

Answer: u suck at math just dont do it duh

Step-by-step explanation: its five

an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.​

Answers

Answer:

Height, h = 21 millimeters.

Step-by-step explanation:

Given the following data;

Volume = 8792mm³

Radius = 20 mm

To find the height;

We know that the shape of an anthill is conical in nature.

Mathematically, the volume of a cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.

Substituting into the equation, we have;

[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]

[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]

[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]

[tex] 8792 = 418.93*h [/tex]

[tex] Height, h = \frac {8792}{418.93}[/tex]

Height, h = 20.99 ≈ 21 mm.

Therefore, the height of the cone is 21 millimeters.

Solve: 3/7 * 6/11 * 2/3. Simplify if possible. Leave answer in improper format.

Answers

Answer:

Exact Form:

12 /77

Decimal Form:

0. 155844

Step-by-step explanation:

Answer is 12/77 and decimal is 0.155844

A line is represented by the equation y = 3x – 7. Which statement about the line is TRUE?

A.
This line is parallel to the line whose equation is y = 2x – 7.

B.
The line has a positive slope.

C.
The y-intercept is 7.

D.
The point (1, 4) lies on the line.

Answers

Step-by-step explanation:

alignment in represented by erosion by which a statement both lights it's true that this line is a parallel that two parallel whose the equation is do you audio will be that a googlmy answer if two line was station then represented by equation allowed is a representation equation the by represented is a

The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you
get 50 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the
record, and he needs 18,000 or more points to do so.
Write an inequality to determine the number of seven-letter words, w, Sal could make to break the record.
Graph the solution set to this inequality.
+
352
350
354
356
358
360
362
364
Switch direction
Make circle open

Answers

He needs 18,000 points.

He starts with 100, so subtract the 100 from 18,000 to get how many more points he needs:

18000 - 100 = 17,900 more points.

Divide the points needed by points per word:

17,900 / 50 = 358

He needs at least 358 words.

The inequality would be 50x+100>=18000, where x is the number of words.

Because 358 can be part of the solution, a solid dot on 358 and the line/arrow needs to point to the right for greater than.

Anybody know how to do this??

Answers

Answer:

Second option: x= (23.5)(1.18)

Step-by-step explanation:

It has the total and the 1 for the tip to include the original price.

Answer:

option 2:- x= (23.5)(1.18)

Step-by-step explanation:

it includes the whole amount plus the tip to be paid after dinner..

A person has 10 Rap songs, 12 R&B songs, 23 Alternative songs, 10 Pop songs, 17 Country songs, and 18 Hip Hop songs stored on an MP3 player (a total of 90 songs). If the person set the MP3 player to random shuffle, what are the probabilities of the first song being played being a Country song?

A) .4888
B) .3888
C) .2888
D) .1888

Answers

D
Step-by-step explanation:
The percentage of 17 out of 90 is 18.88. When you move the decimal point over two places to make it a percentage out of one you get 0.1888

someone help me with number 8

Answers

Answer:

The answers are...:

The common ratio is -3

the sequence of the function is 2,-6, 18, -54, 162

and

the sequence of the function model is geometric

I hope this helps ^^"

Step-by-step explanation:

the common ratio is just from the -3 itself

the sequence model is just plugging n for every term so

a(1) would equal to 2, a(2)=-6 , a(3) would equal to -18, etc

and the geometric is bc it has the exponential that has (n-1), thus it is a geometric sequence

Si un jarrón tíene 80 cm de altura ¿ cuantos milímetros mida​

Answers

Si tiene 80 cm de altura mier 800 milímetros de altura

please help aaa last Q cries

Answers

Answer:

C

Step-by-step explanation:

Hope it helps!

Answer:

Answer C is correct

Step-by-step explanation:

The left side equals 1/25, but the righ side is 625

(I usually give a better explanation, but i'm in a bit of a rush. sorry!)

Anna and josh are putting up lights for a party. For every 4 blue lights they put up 2 red lights. If they put up 120 lights. How many are blue?

Answers

Answer:

80 blue

Step-by-step explanation:

r=red

b=blue

4b+2r=6 lights in one light cluster

120/6=20 clusters

20 clusters of 4 blue lights =80

3m+n=10
5m-2n=2
what is the answer for this one ​

Answers

Answer:

m = 2

n = 4

Step-by-step explanation:

Ok so to solve this, you want to get it so there is only one variable and then solve that equation. To do this, you can start by doing:

3m + n = 10

multiply both sides by 2

6m + 2n = 20

now, in both of your equations you have 2n so you can add the two equations:

6m + 2n = 20

+ 5m - 2n = 2

11m = 22

divide both sides by 11

m = 2.

Now, plug this value into the original equation, 3m + n = 10:

3 * 2 + n = 10

6 + n = 10

subtract 6 from both sides

n = 4

y + 51 = 99, what is y?

Answers

Answer:

y + 51=99

replace the y with 99

then it becomes 99 - 51

y=48

Lilly, Madelyn, Natalie, and Olivia each walked from their houses to the mall. Lilly walked 1/4 mile, Madelyn walked 3/8 mile, Natalie walked 5/6 mile, and Olivia walked 7/12 mile. what is the order of these distanced from least to greatest?

Answers

Answer:

1/4, 3/8, 7/12, 5/6

Step-by-step explanation:

First, change all the fractions so they have the same denominators. The least common denominator is 24. 1/4=6/24 3/8=9/24 5/6=20/24 7/12=14/24

Now, put them in order from least to greatest: 6/24, 9/24, 14/24, 20/24


1. (-13.8) and (3, 12)

Answers

what’s the question

Hello!

What do you need me to solve?

A tree casts a shadow 38 m long.
At the same time, the shadow cast by a 37 cm tall
statue is 75 cm long.
Find the height of the tree. Use correct units.

Answers

Answer:

Step-by-step explanation:

let the height of tree=h

[tex]\frac{h}{38} =\frac{37}{75} \\h=\frac{37}{75} \times 38 \approx 18.75 ~cm[/tex]

Simplify: 7^6 divided 7^2

Answers

Answer:

The answer is 1/3

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

~Hoped this helped~

The answer to your question is “1/3”. Continue learning hope u have a amazing day/night :)

Shade 12 squares on the 4-by-10 grid.

What percent to is shaded?

Answers

On a 10 by 4 grid, there would be 40 squares. If you were to shade 12 of those squares, it can be shown as the fraction:

[tex]\frac{12}{40}[/tex]

12/40 = 0.3

to get a percentage, we would have to multiply by 100

30% is to be shaded

Answer: 30%

Step-by-step explanation:

Total number of squares: 4*10=40

Shaded squares: 12

Fraction of shaded squares: 12/40

If you make the denominator 100, then the numerator is the percentage:

[tex]\frac{12}{40} * \frac{2.5}{2.5}=\frac{30}{100}[/tex]

emeril is building a cutting board for his home kitchen.He wants it to be similar in size to the cutting board at gis restaurant.His restaurant cutting board is 36 inches wide by 21 inches long .He has enough space on his home counter for a board that is 24 inches wide.How long will his home cutting board be?

Answers

Answer:

14 inches

Step-by-step explanation:

I say 14 inches because width for the board at the restaurant is 36 (3×12) and the length is (3×7) so if the width for the board at home is 24 ( 2×12) then the length must be 14 ( 2×7). See what I did?

His home cutting board will be 14 inches long.

Since Emeril is building a cutting board for his home kitchen, and he wants it to be similar in size to the cutting board at gis restaurant, which is 36 inches wide by 21 inches long, and he has enough space on his home counter for a board that is 24 inches wide, to determine how long will his home cutting board be the following cross multiplication calculation must be performed:

36 = 24 21 = X (21 x 24) / 36 = X 14 = X

Therefore, his home cutting board will be 14 inches long.

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A bag of garden soil weighs 38 pounds and holds 4 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.

Answers

Answer:

The weight of 15 bags is 258.21 kilograms.

The volume of 15 bags is 2.222 cubic yards.

Step-by-step explanation:

Dimensionally speaking, a pound equals 0.453 kilograms and a cubic yard equals 27 cubic feet. We proceed to calculate the weight and the volume of 15 bags by following conversions:

Weight

[tex]x = 15\,bags \times \frac{38\,lb}{1\,bag}\times \frac{0.453\,kg}{1\,lb}[/tex]

[tex]x = 258.21\,kg[/tex]

The weight of 15 bags is 258.21 kilograms.

Volume

[tex]x = 15\,bags \times \frac{4\,ft^{3}}{1\,bag} \times \frac{1\,yd^{3}}{27\,ft^{3}}[/tex]

[tex]x = 2.222\,yd^{3}[/tex]

The volume of 15 bags is 2.222 cubic yards.

A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of ​23$. Option B is a commission rate of ​4% on weekly sales. How much does she need to sell this week to earn the same amount with the two​ options?

Answers

Answer:

maybe 17% as u look at the question u will understand

I think the answer is $575

I did:

40 x $23 = $920 to get the weekly amount for option A.

She needs to sell $575 to earn the same.

Because if you do

575 x 4/100 you get $23

Jessie stacked photographs of 6 zoo animals on top of each other to create a display. Each photo is 14 1/4 in. high. How high is the display?

Answers

Answer:

85 1/2 inches

Step-by-step explanation:

14 1/4 x 6 = 85 1/2 inches

Hope that helps!

Someone Please Help I Need the awnser

Answers

Answer:

x=53

Step-by-step explanation:

2x-24=82(alt.ext.∠)

2x=106

x=53

determine the amount of an investment if $500 is invested at an interest rate of 4.25% compounded quarterly for 12 years

Answers

$830.41 is the answer xxxx

which expression represents the product of 83 and x


83+x
83÷x
83x
83-x​

Answers

The answer is 83x hope this helps

My 11 year old sister needs help.

Answers

Answer:

1¼ pounds

or 1.25 pounds

Step-by-step explanation:

The lightest bunch = ⅛*5 = ⅝

The heaviest bunch = 1(⅛*+7) = 1⁷/8

Find the difference between the heaviest and the lightest bunch

1⅞ - ⅝

= 15/8 - 5/8

= (15 - 5)/8

= 10/8

= 5/4

= 1¼ pounds

or 1.25 pounds

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