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Tju [1.3M]
1 year ago
15

A company has 10 men qualified to run a machine that requires 3 operators at a time. find how many groups of 3 operators are pos

sible?
Mathematics
1 answer:
anzhelika [568]1 year ago
6 0

The number of possible groups or combination of three men can be formed from 10 is 120.

According to the given question.

Total number of men in a company, n = 10.

Number of men to be selected, r = 3

As we know that, What is a combination in math?

Image result for what is combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Therefore, the number of possible groups or combination of three men can be formed from 10

= ^{10} C_{3}

= 10!/ 3!7!

= 10(9)(8)/3(2)

= 5 × 3 × 8

= 120

The number of possible groups or combination of three men can be formed from 10 is 120.

Find out more information about number of possible groups or combination here:

brainly.com/question/3854382

#SPJ4

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the mean of a set of numbers is 120. if one number is increased by 300, the mean increases to 135. how many numbers are in the s
stiks02 [169]

There are 20 numbers in the set.

Given,

Set of numbers is 120

one number is increased by 300

and, mean increases to 135.

To find the how many numbers are in the set?

Now, According to the question:

Let the number of numbers be 'n'

Then, (sum of numbers)/n = 120

or, old sum = 120n

if one number is increased by 300, the new sum = (old sum + 300)

Then, (new sum)/ n= 135

or new sum = 135n = old sum + 300 = 120n + 300

The equation will  be:

135n = 120n + 300

15n = 300

n = 20

Hence, There are 20 numbers in the set.

In the question:

The mean of a set of numbers is 120. if one number is increased by 300, the mean increases to 135.

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3 0
1 year ago
Find The Midpoint of the coordinate system P( -4 , 4 ) and (4,8)
Stella [2.4K]

Answer:

Step-by-step explanation:

(-4+4)/2 = 0/2 = 0

(4+8)/2 =12/2= 6

(0, 6)

3 0
3 years ago
Y = 60x + 20<br> y = 65x
dalvyx [7]

Answer:

4=x y=325

Step-by-step explanation:

60x + 20 = 65x

group the variables

20=5x

because you subtracted 60x from both

4=x

because you divided 5 from both

now substitute 5 for x

65×5 is 325

y=325

8 0
3 years ago
Match each compound inequality to the graph of its solutions on the number line.
Basile [38]
The answers for the exercise shown in the figure attached above, are shown 

 -The Compound inequality for the solution 1 is:
 -2(x+1)≥-4 or 4x-7≥5
 x≥1
 x≥3
 -The Compound inequality for the solution 2 is:
 -6≤2x-8≤-2
 1≤x≤3
 -The Compound inequality for the solution 3 is:
 3x-4≥5 or -5x+17≤12
 x≥3
 x<1
5 0
3 years ago
If AB=2(x+1) BC=3x+1 and AC=4(x+2) then find the value for x,AB,BC and AC
taurus [48]

Givens

AB + BC = AC

AB = 2(x + 1)

BC = 3x + 1

AC = 4(x + 2)

Substitute and Solve

AB + BC = AC

2(x + 1) + 3x + 1 = 4(x + 2)     Remove the brackets on the left

2x + 2 + 3x + 1 = 4(x + 2)      Collect the like terms on the left

5x + 3  = 4(x + 2)                  Remove the brackets on the right.

5x + 3 = 4x + 8                     Subtract 4x from both sides.

5x - 4x + 3 = 8            

x + 3 = 8                               Subtract 3 from both sides

x =8 - 3

x = 5

Answers

AB=2(5 + 1) = 2 * 6 = 12

BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16

AC = 4(5 + 2) = 4*7 = 28


7 0
4 years ago
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