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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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If anyone can solve this quickly I will give brainly
Nataly [62]

Answer:

m∠BFE  = 171º

BE = 219º

Step-by-step explanation:

∠BFE is supplementary to ∠EFC

m∠BFE  = 180 - 9

m∠BFE  = 171º

--------------------------

The angle between two chords is equal to half the sum of the intercepted arcs:

∠BFE = (DC + BE)2

171 = (123 + BE)/2

342 = 123 + BE

219º = BE

6 0
3 years ago
Write 54 + 63 as the product of the GCF of 54 and 63 and another sum
levacccp [35]

Answer:

9*(6+7)

Step-by-step explanation:

First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.

Factors of 54

1,2,3,6,9,18,27,54

Factors of 63

1,3,7,9,21,63

The GCF is 9 because is the greatest factor that is common to both numbers.

Now we have to divide 54/9 and 63/9

54/9 = 6

63/9 = 7

So now we can write the product of the GCF and another sum:

9*(6+7)

<em>We can prove this by solving both expressions:</em>

<em>54+63 = 9*(6+7)</em>

<em>117 = 9*13</em>

<em>117 = 117 </em>

<em>The results are equal so we prove it is right.</em>

8 0
3 years ago
Read 2 more answers
On an algebra test , the highest grade was 50 points higher than the lowest the sum of the two grades was 122 find the lowest gr
KATRIN_1 [288]

Answer:

Highest grade: 86

Lowest grade: 36

Step-by-step explanation:

Let the highest grade be h, lowest grade be l.

h = 50 + l  \\  \\ h + l = 122 \\ h = 122 - l \\  \\

Therefore,

122 - l \:  = 50 + l \\ 2l \:  = 72 \\ l = 36 \\  \\ h = 36 + 50 = 86

6 0
3 years ago
For each scenario below, choose the graph that gives the best representation.
kvv77 [185]

The graph that gives the best representation of the scenario is: option 1 (A).

<h3>Graph of Distance vs Time</h3>
  • A typical graph of distance vs time shows the distance covered as against time.
  • If the graph shows a line that slopes upwards, it implies movement from a spot, if it shows an horizontal line, it implies a rest.

The first graph is the correct one that best represents the scenario because it starts at the point of origin (0, 0), which means the bird covers not distance at zero time when it is still at its nest.

As the bird flies, distance increases with time till it stopped at a point to eat.. This is represented by horizontal line, meaning time increased but distance from the nest remains the same.

The upward slope from the spot represents the further distance the bird is flying in search for more food.

Therefore, the graph that gives the best representation of the scenario is: option 1 (A).

Learn more about distance vs time graph on:

brainly.com/question/18655388

8 0
3 years ago
A pool in the shape of a rectangular prism is being filled with water. The length and width of the pool is 24 feet and 15 feet.
Zina [86]
478.8u^3 should be the answer
5 0
3 years ago
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