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Nuetrik [128]
3 years ago
10

A human resource manager has 12 equally qualified applicants to fill a new work group that has three spots. According to company

guidelines, if all 12 applicants are equally qualified, she must choose the work group of three completely at random. How many 3 person work groups are possible?
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
8 0

Answer:

3 person work groups are possible 220

Step-by-step explanation:

Given data

applicants = 12

person = 3

to find out

How many 3 person work groups are possible

solution

3 person work group possibility is 12C3

that is classified as  = 12! / 3! 9!

3 person work group possibility =  12 ×11×10  /  3 ×2×1

3 person work group possibility =  220

so  3 person work groups are possible 220

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Solving Linear Equat<br> Solve the linear equation:<br> 3.4 + 2(9.7 – 4.8x) = 61.2
JulijaS [17]

Answer:

Step-by-step explanation:

Simplifying

3.4 + 2(9.7 + -4.8x) = 61.2

3.4 + (9.7 * 2 + -4.8x * 2) = 61.2

3.4 + (19.4 + -9.6x) = 61.2

Combine like terms: 3.4 + 19.4 = 22.8

22.8 + -9.6x = 61.2

Solving

22.8 + -9.6x = 61.2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-22.8' to each side of the equation.

22.8 + -22.8 + -9.6x = 61.2 + -22.8

Combine like terms: 22.8 + -22.8 = 0.0

0.0 + -9.6x = 61.2 + -22.8

-9.6x = 61.2 + -22.8

Combine like terms: 61.2 + -22.8 = 38.4

-9.6x = 38.4

Divide each side by '-9.6'.

x = -4

Simplifying

x = -4

8 0
3 years ago
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PLEASE HELP ILL MAKE YOU THE BRAINIEST <br> Find the value of x
Firdavs [7]

Answer:

12.04

Step-by-step explanation:

add 8 and 9 by the power of two: 8^2+9^2

that equals to 145

find the square root of 145 and that equals to 12.04

4 0
1 year ago
the art teacher found 3 boxes of brushes and 4 extras brushes. There were 40 brushes in all. how many brushes were in each box
natita [175]
3 boxes times 40 = 120 + 3 = 143
or 3 boxes times 43 = 129
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3 years ago
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A line passes through the point (9,-7) and has a slope of 4/3
lara31 [8.8K]

Answer:

y+7 = 4/3(x-9)

Step-by-step explanation:

Point slope form of an equation of a line is

y-y1 = m(x-x1) where (x1,y1) is the point and m is the slope

y--7 = 4/3(x-9)

y+7 = 4/3(x-9)

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3 years ago
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The sum of two numbers is the same as four times the smaller number. If twice the larger is decreased by the smaller, the result
liraira [26]

The two numbers are 6 and 18

Step-by-step explanation:

The given is:

  • The sum of two numbers is the same as four times the smaller number
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We need to find the the numbers

Assume that the smaller number is x and the larger number is y

∵ The smaller number = x

∵ The larger number = y

∵ The sum of the two numbers is the same as four times the

   smaller number

- That means add the two numbers and equate the sum by four

   times x

∴ x + y = 4x

- Subtract both sides by x

∴ y = 3x ⇒ (1)

∵ Twice the larger number is decreased by the smaller number,

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- That means multiply y by 2 and subtract x from the product,

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∴ 2y - x = 30 ⇒ (2)

- Substitute y in equation (2) by equation (1)

∵ 2(3x) - x = 30

∴ 6x - x = 30

- Add like terms in the left hand side

∴ 5x = 30

- Divide both sides by 5

∴ x = 6

- Substitute the value of x in equation (1) to find y

∵ y = 3(6)

∴ y = 18

The two numbers are 6 and 18

Learn more:

You can learn more about the system of equation in brainly.com/question/2115716

#LearnwithBrainly

5 0
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