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mihalych1998 [28]
3 years ago
7

Players on a volleyball team wear jerseys numbered 1 through 9. In how many different ways could you arrange 5 of the players?

Mathematics
1 answer:
Alenkinab [10]3 years ago
8 0

Answer:

Total number of arrangements for 5 players = 15,120 arrangements

Step-by-step explanation:

Given:

Number given from 1 to 9

So,

Total number for jerseys = 9

Find:

Total number of arrangements for 5 players

Computation:

Total number of arrangements for 5 players = 9! / [9! - 5!]

Total number of arrangements for 5 players = 9 x 8 x 7 x 6 x 5

Total number of arrangements for 5 players = 15,120 arrangements

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Please help!!
weqwewe [10]

Answer:

 The vertex of the parabola   = (-7 , -4)  

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the parabola  y = 4 x² + 56 x +192

                                 y = 4 (x² + 14 x + 48 )

                                 y = 4 ( x² + 2 ×  7 (x) + 49-1)

                                 y = 4 ( x² + 2 ×  7 (x) + 49)- 4

we apply the formula

(a +b)² = a² + 2ab + b²

                                y = 4 ( x + 7 )² - 4

<u>Step(ii):-</u>

<em>The general form of the parabola in algebraically</em>

<em>                               y = a ( x-h)² +k</em>

<em>The equation </em>

<em>                           y = 4 ( x + 7 )² - 4</em>

                          y = 4 ( x-(-7))² - 4

  The vertex of the parabola (h,k) = (-7 , -4)  

<u>Final answer:-</u>

The vertex of the parabola  = (-7 , -4)  

8 0
3 years ago
Neil has three partial full cans of white paint they contains 1/3 gallon 1/5 gallon 1/2 gallon of paint and how much paint does
podryga [215]

Answer:

1 and 1/30 gallons of paint

Step-by-step explanation:

5 0
4 years ago
Assume a warehouse operates 24 hours a day. Truck arrivals follow Poisson distribution with a mean rate of 36 per day and servic
kirill [66]

The expected waiting time in system for typical truck is 2 hours.

Step-by-step explanation:

Data Given are as follows.

Truck arrival rate is given by,   α  = 36 / day

Truck operation departure rate is given,   β= 48 / day

A constructed queuing model is such that so that queue lengths and waiting time can be predicted.

In queuing theory, we have to achieve economic balance between number of customers arriving into system and that of leaving the system whether referring to people or things, in correlating such variables as how customers arrive, how service meets their requirements, average service time and extent of variations, and idle time.

This problem is solved by using concept of Single Channel Arrival with exponential service infinite populate model.

Waiting time in system is given by,

w_{s} = \frac{1}{\alpha - \beta  }

        where w_s is waiting time in system

                   \alpha is arrival rate described Poission distribution

                   \beta is service rate described by Exponential distribution

w_{s} = \frac{1}{\alpha - \beta  }

w_{s} = \frac{1}{48 - 36 }

w_{s} = \frac{1}{12 } day

w_{s} = \frac{1}{12 }  \times 24  hour        ...it is due to 1 day = 24 hours

w_{s} = 2 hours

Therefore, time required for waiting in system is 2 hours.

           

                   

5 0
4 years ago
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = 2.5 over 5 and 59 hundredths. Triangles XYZ
adell [148]

Dilation involves changing the size of a shape

<h3>How to determine the relationship between the trigonometry ratios</h3>

From the question, we understand that:

The dilation of triangle XYZ gives triangle ACB

This means that, the following are corresponding points

  • Points X and A
  • Points Y and C
  • Points Z and B

The above means that:

The relationships between the trigonometry ratios of both triangles are:

cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

<h3>How to determine the measures of segments AC and AB</h3>

In (a), segments XY and XZ corresponds to the segments AC and AB

So, the product of the lengths of XY and XZ and the scale factor will result in the lengths of AC and AB,

i.e.

AC = 2 * XY and AB = 2 * XZ

Read more about dilation at:

brainly.com/question/26332230

5 0
3 years ago
Why is this simplified by combining like terms <br> 3(4x+5) +2
Inga [223]
3(4x+5)+2
3•4x=12x
5•3=15+2=17
Answer= 12x + 17
3 0
3 years ago
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