In Maricopa County, 5 persons are to be elected to the Board of Supervisors. If 8 persons are candidates, how many different arrangements are possible? 6,720

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56

Answers

Answer 1

Answer:
The question asks about "arrangements". That seems to mean that
the position of the candidate's name on the list matters.

The first name can be any one of the 8. For each one . . .
The second name can be any one of the remaining 7. For each one . . .
The third name can be any one of the remaining 6. For each one . . .
The fourth name can be any one of the remaining 5. For each one . . .
The fifth name can be any one of the remaining 4.

The total number of possible 'arrangements' = (8 x 7 x 6 x 5 x 4) = 6,720 .
(That's 8! / 3! .)

But for this type of problem, the order usually doesn't matter ... it's all
the same thing whether 'Jones' is 1st, 3rd, or 5th on the list etc.
Then the question is really: How many different groups of 5 can be
nominated with 8 candidates ?

Well, how many different ways can you arrange 5 names ?
Using the same type of reasoning as above, 5 names can be
lined up in (5 x 4 x 3 x 2 x 1) = 120 different orders.

So, while it's true that you can make 6,720 different 5-name line-ups
with 8 names, every possible group appears on that huge list shuffled
in 120 different orders.

If the order doesn't matter, then there are only (6,720 / 120) = 56 different
groups of 5 names, although they appear in every possible shuffle on the
big list.

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Answers

You multiply by 9, then divide by 5, then add 32

Which table shows a linear function?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

edu 2021

8x___=0.24

please help me with this-

Answers

Answer:

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Step-by-step explanation:

8x=0.24

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On Sunday, a local hamburger shop sold a combined total of 428 hamburgers and cheeseburgers. The number of cheese burgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?

Answers

The total number of hamburgerssold were 17.

What is equation modelling? What is a mathematical equation and expression?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

A mathematical equation is used to equate two expressions.

Given is that on Sunday, a local hamburger shop sold a combined total of 428 hamburgers and cheeseburgers. The number of cheese burgers sold was three times the number of hamburgers sold.

Assume that the number of hamburgers sold are [x]. Then, the number of cheese burgers sold will be [3x]. Then, we can write -

x + 3x = 428

4x = 428

x = 17

Therefore, the total number of hamburgerssold were 17.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

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The equation you can use is x + 3x = 428 with x as the number of cheeseburgers and 3x the number of hamburgers
you solve for x and get 4x= 428 and x=107

so 321 hamburgers were sold that day.

Discriminant of 9x^2+12x+4=0

Answers

$the\ discriminant\ of\ ax^2+bx+c=0:\ \ \ \ \Delta=b^2-4\cdot b\cdot c \n---------------------------\n9x^2+12x+4=0\ \ \ \Rightarrow\ \ \ \Delta=12^2-4\cdot9\cdot4=144-144=0\n\n\Delta=0\ \ \ \Rightarrow\ \ \ x_0=- (b)/(2a) =- (12)/(2\cdot9) =- (2\cdot2\cdot3)/(2\cdot3\cdot3)= - (2)/(3) \n\nAns.\ The\ discriminant\ is\ \Delta=0$

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