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olganol [36]
3 years ago
13

Select the correct answer.

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

Answer:

Option C.

Step-by-step explanation:

It is given that,

Total number of applicants = 9

Number of job = 3

We need to select 3 applicants out of 9. So, the required number of ways is

^9P_3=\dfrac{9!}{(9-3)!}

^9P_3=\dfrac{9\times 8\times 7\times 6!}{6!}

^9P_3=9\times 8\times 7

^9P_3=504

Therefore, there are ^9P_3=504 ways the positions can be filled because the order in which the applicants are chosen matters.

Hence, the correct option is C.

You might be interested in
If the values in the table below model a proportional relationship, what is the equation for the function?
Jet001 [13]

Given:

The table represents a proportional relationship.

To find:

The equation of the function.

Solution:

If y is directly proportional to x, then

y\propto x

y=kx     ...(i)

where, k is the constant of proportionality.

From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).

Putting x=2 and y=1 in (i), we get

1=k(2)

\dfrac{1}{2}=k

Putting k=\dfrac{1}{2}, we get

y=\dfrac{1}{2}x

Therefore, the correct option is A.

6 0
3 years ago
Jillian is making accessories for the soccer team. She uses 667.43 inches of fabric on headbands for 27 players and 4 coaches. S
gulaghasi [49]

Answer:

21.53 in of fabric on headbands

7.67 in of fabric on wristbands.

Step-by-step explanation:

Step one:

given data

the total amount of person players plus coaches= 27+4= 31

for each person, she uses = 667.43/31= 21.53 in of fabric on headbands

She also uses 237.87inches of fabric on wristbands for just the players

For each player, she will use= 237.87/31= 7.67 in of fabric

Hence for each player, she used

21.53 in of fabric on headbands

7.67 in of fabric on wristbands

4 0
3 years ago
4
saw5 [17]
The answer is B $37.59
__________________
5 0
3 years ago
Plzzzzzzzzzzzzzzzzz HELP ME on this problem: 10/ 4 = x + 8/ x – 1. 50 Points available
USPshnik [31]


Equation: SOLVE


Solution for 10=4(x-1)-(x-8) equation:

Simplifying
10 = 4(x + -1) + -1(x + -8)

Reorder the terms:
10 = 4(-1 + x) + -1(x + -8)
10 = (-1 * 4 + x * 4) + -1(x + -8)
10 = (-4 + 4x) + -1(x + -8)

Reorder the terms:
10 = -4 + 4x + -1(-8 + x)
10 = -4 + 4x + (-8 * -1 + x * -1)
10 = -4 + 4x + (8 + -1x)

Reorder the terms:
10 = -4 + 8 + 4x + -1x

Combine like terms: -4 + 8 = 4
10 = 4 + 4x + -1x

Combine like terms: 4x + -1x = 3x
10 = 4 + 3x

Solving
10 = 4 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
10 + -3x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -3x = 4 + 0
10 + -3x = 4

Add '-10' to each side of the equation.
10 + -10 + -3x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 4 + -10
-3x = 4 + -10

Combine like terms: 4 + -10 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2
6 0
3 years ago
What are the real and complex solutions of the polynomial equation X^3-216=0
vazorg [7]

Answer:

6,\ -3+3\sqrt{3}i,\ -3-3\sqrt{3}i

Step-by-step explanation:

Factor the equation x^3-216=0 using formula for difference of the cubes:

x^3-216=(x-6)(x^2+6x+36),

then

x-6=0\ or\ x^2+6x+36=0.

1. The equation x-6=0 has real solution x=6.

2. The equation x^2+6x+36=0 has negative discriminant D=6^2-4\cdot 36=36-144=-108, then it has two complex solutions

x_{1,2}=\dfrac{-6\pm 6\sqrt{3}i}{2}=-3\pm3\sqrt{3}i.

3 0
3 years ago
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