There are 15 applicants for four jobs : Computer Programmer , Software Tester , Manager , and Systems Engineer
IS THIS A PERMUTATION OR COMBINATION ?

Answers

Answer 1

Answer:

it Permutation 32760

Step-by-step explanation:

it permutation because the order is matter

15p4=32760

Answer 2

This is the case of a combination and the possibility of arrangement is 1365.

What is the combination?

The combination is the process of choosing items or things from a bigger group where the order is irrelevant. The combination formula aids in determining the number of possible combinations that can be created by selecting a portion of a bigger set of objects.

Given There are 15 applicants for four jobs: Computer Programmer, Software Tester, Manager, and Systems Engineer.

From the difference between permutation and combination:

A permutation is a method of arranging all the members in order. The combination is a selection of elements from a collection.

Since the order is not asked thus this is the case of a combination

and total arranging possibility = ⁿCₓ

total arranging possibility = ¹⁵C₄

total arranging possibility = 15! /( 11! * 41)

total arranging possibility = 1365

therefore, This is a combination case, and the number of possible arrangements is 1365.

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Related Questions

I’ll give you a brain list !
Suzie is making macaroni for her cousin's birthday party. For every 9 cups of macaroni, she needs to use 27 cups of water. Match the proportional relationships in the table Suzie can use.

Answers

Answer: 1 cup of macaroni for 3 cups of water

Step-by-step explanation:

9/27 divided 3=1 cup/3 cup

Pls help me answer this question for my homework

Answers

Answer:

4

Step-by-step explanation:

2 goes to both A and B which makes it not a function because if I remember right the domain isnt allowed to repeat.

Carla packed this box with 1-centimeter cubes. What is the volume of the box?

Answers

Answer:

60 cm 2

Step-by-step explanation:

Answer:

60 cubic cm

Step-by-step explanation:

i just multiplied 3 x 4 x 5 and that gave me 60 and cubic cm

hoped it helped :)

PLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST!!
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ​ft, the liquid boils at 199.42°F. At an altitude of 4700 ​ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the​ liquid, in degrees​ Fahrenheit, in terms of altitude​ a, in feet. What is the boiling point of the liquid at 2500 ​ft?
Write an equation.
b=

Answers

Answer:

b=-0.0019a + 215

at 2500 ft, b=210.25 degrees F

Step-by-step explanation:

First find the slope. a=altitude, b = temperature

slope is b2-b1 / a2-a1

points are (8200, 199.42) and (4700, 206.07)

(206.07 - 199.42) / (4700-8200)

= 6.65/ -3500

= - 0.0019

we have b = -0.0019a + intercept

plug in a point to find intercept

199.42 = -0.0019*8200 + intercept

intercept = 199.42 + 15.58 = 215

b=-0.0019a + 215

at a=2500 ft, substitute into equation

b= -0.0019*2500 + 215

= -4.75 + 215

= 210.25 degrees F

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1. Is an arithmetic sequence a function?
Sometimes, it depends on the arithmetic sequence.
Yes, always.
Not enough information is given.
No, never

Answers

Yes, always.

A sequence is a function that takens a positive integer and maps it some other number. For any integer you plug into the sequence, you only ever get one output.

Please help!!!! Will mark Brainliest!!!! Pleaseeee!! 20 Points!!!!

Answers

Your answer : is b (the letter b)

Write an equation that represents the tile pattern in the table below

Answers

Answer:

y=3x+2

Step-by-step explanation:

First find the slope or m in the line of equation y=mx+b

to find slope you need two points, plug in to y2-y1 / x2-x1

so lets use points (0,2) (1,5)

5-2 / 1-0 = 3

m=3

we have y=3x + b

now we find b by pugging in a point, let's use (0,2)

2 = 3(0) + b

b= 2

y=3x+2

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I need help please but if you can give me the step by step it would be helpful thank you

Answers

Answer: (x^2 -6x +10)(x - 2)

All the steps are shown in the picture below:

Select the correct graph of the function y = –1/8(x – 1)2 – 4 below.

Question 8 options:

A)

image

B)

image

C)

image

D)

image

Answers

Step-by-step explanation:

The given function is :

[tex]y=\dfrac{-1}{8}(x-1)^2-4[/tex] ...(1)

It is an equation of parabola. The vertex form for equation of parabola is given by :

[tex]y=a(x-h)^2+k[/tex] ...(2)

Here,

Vertex = (h,k), axis = h and rate = a

From equation (1) and (2) :

a = -1/8, h = 1 and k = -4

The atached graph shows the graph for the given equation.

The following list gives the number of public libraries in each of 11 cities. 12, 3, 5, 4, 7, 8, 11, 13, 10, 6, 2 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."​

Answers

2,3,4,5,6,7,8,10,11,12,14

Will the border line of the graph of y < - x2 + 4x + 5 be a solid line or a broken
line?


Is the point (0,0) part of the solution of y<-x2 +4x+5

Answers

Step-by-step explanation:

When the inequality uses < or >, it is a broken line.

For the point (0, 0) it means that x = 0 and y = 0.

Since (0) < (0)² + 4(0) + 5 is true, the point is part of the solution.

Yes, the point (0,0) is part of the solution of y < - x² + 4x + 5.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To determine the border line of the graph of y < - x² + 4x + 5

A broken line results from the inequality using < or >.

x and y are both equal to zero at the coordinates (0, 0).

Substitute the values of x = 0 nad y = 0 in the inequality  y < - x² + 4x + 5

So, (0) < (0)² + 4(0) + 5

Since (0) < (0)² + 4(0) + 5 is valid,

Thus, the coordinates (0, 0) are part of the solution.

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Four less than the product of 2 and a number is the same as negative eightteen. Find the number

Answers

Answer:

12

Step-by-step explanation:

4-2x=-18

-4        -4

-2x=-24

-2      -2

x=12

if k = am+3mx what is the value of m in terms of
x
Please help

Answers

Answer:

k = am + 3mx

Group by taking common factor m

k = m(a + 3x)

Divide both sides by (a +3x)

k / (a+3x) = m

Then, m = k / (a+3x). This is the answer

Step-by-step explanation:

I need help please asap

Answers

Answer:

0, 1/13, 49/100, 1/2, 11/20, 8/9, 1

Step-by-step explanation:

You know the smallest is 0, largest is 1

the middle is 1/2

49/100 is slightly smaller than 1/2 or 50/100

11/20 is slightly larger than 1/2 or 10/20

1/13 is slightly larger than 0

8/9 is slightly smaller than 1

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and brainliest :)

Teen Court is a juvenile diversion program designed to circumvent the formal processing of first-time juvenile offenders within the juvenile justice system. An article reported on a study in which offenders were randomly assigned either to Teen Court or to the traditional Department of Juvenile Services method of processing. Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period, whereas 11 of the 54 Department of Juvenile Services individuals did so. Does the data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals who do so

Answers

Answer:

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

Step-by-step explanation:

Step(i):-

Given first sample size (n₁ ) = 57

Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period

First sample proportion

                                   [tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{18}{57} =0.3157[/tex]

Second sample proportion

                               [tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{11}{54} =0.2037[/tex]

Null Hypothesis : p₁⁻ = p₂⁻

Alternative Hypothesis :  p₁⁻ ≠ p₂⁻

Step(ii):-

Test statistic

         [tex]Z = \frac{p_{1} ^{-} -p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }[/tex]

        where

                   [tex]P = \frac{n_{1}p^{-} _{1} +n_{2} p^{-} _{2} }{n_{1} +n_{2} }[/tex]

                   

              [tex]P = \frac{57 X0.3157+0.2037X54}{54+57} = 0.2612[/tex]

             Q = 1 - P = 1 - 0.2612 = 0.7387

         

             [tex]Z = \frac{0.3157-0.2037}{\sqrt{0.2612 X0.7387 (\frac{1}{57} +\frac{1}{54} )} }[/tex]

           Z  =    1.4017

Level of significance ∝ =0.05

The tabulated value Z₀.₀₅ = 1.96

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

Brayden and his friends are driving across the US from New York to Los Angeles at a constant speed without stopping. When they have driven for 10 hours, they are 1700 miles away from Los Angeles. When they have driven for 15 hours, they are 1500 miles away from Los Angeles.a) Find a linear function that models the remaining distance, DD, to Los Angeles as a function of the amount of time, t, that Brayden and his friends have been driving.

Answers

Answer:

d=-40t+2100

Step-by-step explanation:

Let d be the distance between New York to Los Angeles and speed of driving is v miles/hour.

As when they have driven for 10 hours, they are 1700 miles away from Los Angeles, so the distance covered in 10 hours is d-1700 miles.

Similarly, the distance covered in 15 hours is d-1500 miles.

So, the distance covered in 5 hours = (d-1500)-(d-1700) =d-1500-d+1700=200 miles.

As speed = distance/time,

So the speed of driving, v=200/5=40 miles/hour

Let d (in miles) be the remaining distance at any time instant t (in hour) and the linear relation between d and t is

d=at+b ...(i)

where a and b are constants.

When they have driven for 10 hours, they are 1700 miles away from Los Angeles, so putting t=10 and d=1700 in the equation (i), we have

1700=10a+b

b=1700-10a...(ii)

Similarly, when they have driven for 15 hours, they are 1500 miles away from Los Angeles, so

1500=15a+b

1500=15a+1700-10a

1500-1700=5a

-200=5a

a= -200/5

a= -40

From equation (ii), we have

b=1700-10(-40)=1700+400=2100

From equation (i), the required equation is

d=-40t+2100

Hence the required linear function is d=-40t+2100.

Which situation can be represented by the expression -2+(-1)

Choose 1 Answer:

Answers

definitely (A). he was already under 2 and then went down an additional 1.

Answer:

A

Step-by-step explanation:

I checked on khan

can someone please help me​

Answers

Answer: 19

Step-by-step explanation:

3 + 5 is​ ___ units from ​3, in the​ _______ direction.

Answers

Answer:

7 unit

Step-by-step explanation:

mark me as brainliest and follow and like my answer

Write the equation of a parabola containing the point 6,3 with vertex at 5,-3

Answers

Answer:

y = 1/3 x 2 +4 x + 15

Step-by-step explanation:

y = a (x - h)2 + k

where (h,k) are the coordinates of the vertex and a is a multiplier

here (h,k) = ( - 6, 3)

y = a ( x + 6)2 + 3

to find a substitute (12,9) into the equation

9 = 18 a + 3

18 a = 9 - 3 = 6 a = 6/18 = 1/3

y = 1/3 (x + 6)2 + 3

distributing gives

y = 1/3 (x2 + 12x + 36) + 3

y = 1/3x2 + 4x + 15

Troy runs marathons, which are about 26 miles long. He usually runs 4 marathons a year, and he has been doing this for 11 years. Troy estimates he has run a little over 100 miles during all these marathons. Is that a good estimate?

Yes


No it is much high



No it is much low

Answers

it is much too low as if he runs 4 every year for the past 11 years he’s ran about 44 marathons and each marathon is 26 miles

Find the value of x if DE is a midsegment.
B
D
26
х
A
E
C

Answers

Answer:

my names emily too!!!!

Step-by-step explanation:

2b+ f + d + 3b + 2f + 2d + 8

Answers

Answer:

Did you want me to simplify the expression???

Step-by-step explanation:

3f+5b+3d+8

Which distance measurement is the most precise?

A. 10 kilometers

B. 2.54 centimeters

C. 100 meters

D. 26.3 miles​

Answers

Answer:

B

seems to be the most precise. I don't know what it means by precise but B is the lucky guess

Need help plz need to solve for x.
1) 2x-7= -2x+1
2) 2(x-7)=6-2x

Answers

1) x=2
2) x=5

....................

Answer:

1( ×=2

2( x=5

ekekjejew

There are 60 seconds in a minute use a tape diagram to find the total number of seconds in 5 minutes and 45 seconds

Answers

60 x 5 + 45 = 345 Seconds

The answer is 345 seconds I hope it helped

If the contractor has 40 cubic yards of dirt to haul and a budget of $1000, which hauling company should she hire? Explain or show your reasoning.

Answers

EZ Evacuation : it is less expensive .

can someone help please​

Answers

I’d say the letter b

7x-7=2x-1 what is x please help

Answers

Answer:

x= 1.2

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

Step 2: Add 7 to both sides.

Step 3: Divide both sides by 5.

Hope this helped :)

Answer:

7x+=2x-1

7x+2x=7+1

9x=8

x=9-8

x=1

A Hummer gets 300 miles on 20 gallons of gas, how many miles can it be driven on 50 gallons of gas?

Answers

Answer:

750 miles

Step-by-step explanation:

Step one:

Given data

we are told that the hummer gets to 300miles on 20 gallons of gas

Required

The distance that the Hummer can go on 50 gallons of gas

Step two:

if 20 gallons gets to 300miles

the 50 gallons will get to x miles

cross multiply we have

[tex]x= 50*300/20\\\\x=15000/20\\\\x=750 miles[/tex]

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