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LekaFEV [45]
2 years ago
6

Find the inequalities represented by the graph?

Mathematics
1 answer:
nekit [7.7K]2 years ago
7 0

Answer:

,

Step-by-step explanation:

,...

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Suppose you are managing 16 employees, and you need to form three teams to work on different projects. Assume that all employees
valentina_108 [34]

Answer:

4380 ways

Step-by-step explanation:

We have to form 3 project of 16 employees, they tell us that the first project must have 5 employees, therefore we must find the number of combinations to choose 5 of 16 (16C5)

We have nCr = n! / (R! * (N-r)!)

replacing we have:

1st project:

16C5 = 16! / (5! * (16-5)!) = 4368 combinations

Now in the second project we must choose 1 employee, but not 16 but 11 available, therefore it would be to find the number of combinations to choose 1 of 11 (11C1)

2nd project:

11C1 = 11! / (1! * (11-1)!) = 11 combinations

For the third project we must choose 10 employees, but since we only have 10 available, we can only do a combination of this, since 10C10 = 1, therefore:

3rd project: 1 combination

The total number of combinations fro selecting 16 employees for each project would be:

4368 + 11 + 1 = 4380 combinations, that is, there are 4380 different ways of forming projects with the given conditions.

3 0
3 years ago
The ratio of girls to boys in the junior high band is 5 to 7. At the beginning of year, there were 72 students in the band. By t
rusak2 [61]
Ratio is 5girls:7boys with total 72 students
5+7= 12
72➗12= 6
6(5:7)= 30 girls : 42 boys

New ratio is 3:4 with 48 boys

48➗4= 12

So for girls 3x12= 36

So started with 30 girls ended with 36 girls... 6 girls joined band during the school year.
7 0
3 years ago
Read 2 more answers
A biased dice was rolled and the scores recorded in the table below
dusya [7]

Given:

The table of score and frequency.

To find:

The probability that on the next roll the score will be 4.

Solution:

From the given table it is clear that the score 4 occurs 10 times.

Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30

                                                             = 120

The probability that on the next roll the score will be 4 is

\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}

\text{Required probability}=\dfrac{10}{120}

\text{Required probability}=\dfrac{1}{12}

Therefore, the required probability is \dfrac{1}{12}.

8 0
3 years ago
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 14 miles per hou
Sergeu [11.5K]

Answer:

The answer to your question is 166 mi/h

Step-by-step explanation:

Data

ve = rate eastbound train

vw = rate westbound train = ve - 14

distance = d = 900 mi

time = t = 5 h

Formula

v = \frac{distance}{time} = \frac{d}{t}

Substitution and simplification

ve = \frac{900}{5} = 180 mi/h

Now, substitute this value in the equation of vw

vw = 180 - 14

Result

vw = 166 mi/h

7 0
3 years ago
Please help, I’m stuck..
Svetradugi [14.3K]
The area of the triangle is 9.

The formula is BH/2

When you plug the numbers in

3•6/2
18/2

You get 9 as the result.
4 0
3 years ago
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