A company has 3 staff positions to fill. If there are 14 candidates, how many outcomes
are possible?

Answers

Answer 1

Answer:

364

Step-by-step explanation:

14!/(3!(14-3)

Answer 2

Answer:

364

Step-by-step explanation:

You need to choose 1 out 14 for the first position, then 1 out of the 13 left  for the second position, then 1 out the 12 left for the third position.

That gives 14 * 13 * 12 = 2184.

If order mattered, that would be the answer, but in this case, since order does not matter, the 3 positions can be filled in 3 * 2 * 1 ways = 6 ways.

2184/6 = 364


Related Questions

What is the definition of the cosine ratio of an acute angle of a triangle?

opposide side / hypotenuse


adjacent side / opposite side


opposite side / adjacent side


adjacent side / hypotenuse

Answers

Answer:

I think the answer is the last one

adjacent side / hypotenuse

Which equation is a point slope form equation for line AB?
Oy-2=2(x+2)
Oy-6=-2(x+2)
Oy-2=-2(x+6)
Oy- 2 = -2(x+2)

Answers

Answer:

y-6= -2(x+2)  

Step-by-step explanation:

A= (-2, 6)

B= (2, -2)

y= mx+b

slope:

m= (y2-y2)/(x2-x1)= (-2-6)/(2+2)= -8/4= -2

intercept:

6= (-2)*(-2)+b ⇒ b= 6-4= 2

the function is:

y= -2x+2

y-2=2(x+2) ⇒ y= 2x+6 - no

y-6= -2(x+2) ⇒ y= -2x +2 - yes

y-2= -2(x+6) ⇒ y= -2x - 10- no

y-2= -2(x+2) ⇒ y= -2x- 2 - no

what the the perimeter of this polygon?

Answers

Answer:

21.7

Step-by-step explanation:

you add all along the shape and it adds up to 21 and 21.7 is the only answer that has 21 in it

hope this helps.

Find x
Please help I really need answers

Answers

It has to be nine because it half of 18 when u measure it

Help !!!!!!!!!!!!!!!!!

Answers

Answer:

The elevation is a nonlinear function.

Step-by-step explanation:

Answer:

It's (B) The elevation is a nonlinear function.

Step-by-step explanation:

On a​ map, 1 inch equals 9.4 miles. Two houses are 1.5 inches apart on the map. What is the actual distance between the​ houses? Use pencil and paper. Show how you can represent the scale with two different ratios. What ratio is more helpful for solving the​ problem? Explain.

Answers

Answer:

14.1 I think

Step-by-step explanation:

Answer:14.1

Step-by-step explanation:

Solve for X 4x−1 =3 Answer:

Answers

Add 1 to both sides of the equation to get 4x = 4.

Divide both sides by 4 and x = 1.

Answer:

x= 1

Step-by-step explanation:

4x-1=3

    +1 +1

4x=4 (divide both sides by 4 to get x alone)

x=1

What is the measure of angle SQR please help

The options are
A.) 132°
B.) 55°
C.) 134°
D.) 93°

Answers

Answer:

D i think

Step-by-step explanation:

A backyard pool has a concrete walkway around it that is 5 feet wide on all sides. The total are of the pool and the walkway is 950 feet. If the length of the pool is 6 feet longer than the width, find the dimensions of the pool.

Answers

Answer:

Step-by-step explanation:

Pool:

Width = x ft

Length = (x+6) ft

Pool along with walkway:

Width = x + 5 + 5 = (x + 10) ft

Length = x + 6 + 5 + 5 = (x + 16) ft

Total area of the pool with walkway = 950 sq.ft

length * width = 950

(x+16) * (x + 10) = 950

Use FOIL method,

x*x + x *10 + 16*x + 16 *10 = 950

x² + 10x + 16x + 160 -950 = 0   {Add like terms}

x² + 26x - 790 = 0

Answer:

29.4 length and 21.4 width.

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that W is the width and L the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total

Your boss asks you to interpret the following from a custom paint report he has just received. µ ≥400 ml

The true mean volume of paint in each can is
Blank
or
Blank
400 ml.

Answers

Answer:

The true mean volume of p

aint in each can is greater than or equals to 400ml

Step-by-step explanation:

The symbol of μ represents the mean of a data.

Mean can be defined as the average value of a set of data

Let consider the question.

We know that

μ ≥ 400ml

Where the sign ≥ means "greater than or equals to"

Which means that μ is greater than or equals to 400ml

So the solution is:

1st blank = greater than

2nd blank = equals to

Solve |3 - x| = 8 !!

Answers

Answer:

-5 and 11

Step-by-step explanation:

| 3-x | = 8

absolute sign has two value. POSITIVE and NEGATIVE value

POSITIVE

3-x = 8

x = 3-8 = -5

NEGATIVE

-(3-x) = 8

-3 + x = 8

x = 8+3 = 11

Answer:

x =-5                           x = 11

Step-by-step explanation:

|3-x| = 8

We get 2 solutions to an absolute value, one positive and one negative

3-x =8      3-x = -8

Subtract 3 from each side

3-x-3 = 8-3           3-x-3=-8-3

-x =5                      -x = -11

Multiply by -1

x =-5                           x = 11

Does the graph below represent a proportional relationship? A. Yes, because it is a straight line that passes through the origin. B. No, because a proportional relationship does not have to be a straight line. C. Yes, because it is a straight line that does not pass through the origin. D. No, because it is not linear.

Answers

Answer:

A

Step-by-step explanation:

maybe i am sure don't depend on me

Find the distance between the pair of points: (0,-8) and (0,4)

Answers

Answer:

12 units

Step-by-step explanation:

distance formula

what graph best shows a positive correlation between the number of hours studied and the test scores ?

Answers

A shows a positive correlation

A number is multiplied by 5. If 5 is added to the product, you get 10. What is the number?

Answers

Answer:

The unknown number is 1.

Step-by-step explanation:

You have to form an expression. So let's make the unknown number as x. Firstly, a number is multiplied by 5 :

[tex]x \times 5[/tex]

[tex] = 5x[/tex]

Secondly, 5 is added to product and you will get 10 :

[tex]5x + 5 = 10[/tex]

Lastly, you have to solve :

[tex]5x + 5 = 10[/tex]

[tex]5x = 10 - 5[/tex]

[tex]5x = 5[/tex]

[tex]x = 5 \div 5[/tex]

[tex]x = 1[/tex]

Answer:

2

Step-by-step explanation:

if you divide

10 by 5

you get two

Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14?

Answers

Answer:

(1, -5) is the solution of the system

Step-by-step explanation:

y = negative 7 x + 2 should be written as  y = -7x + 2, and

y = 9 x minus 14 as y = 9x - 14

Use elimination by substitution to solve this system.  Equate the two equations together to eliminate y:  y = 9x - 14 = -7x + 2.

Combining like terms, we get 9x - 14 = -7x + 2  =>  16x = 16

Dividing both sides by 16 yields x = 1.

Substituting 1 for x in the first equation yields the corresponding y-value:

y = -7(1) + 2 = -5

Thus, the ordered pair (1, -5) is the solution of the system.

Answer:

It's B

Step-by-step explanation:

Explain how a marshland could prevent flooding in a nearby town.

Answers

Answer:

Wetlands prevent flooding by temporarily storing and slowly releasing stormwater.

Step-by-step explanation:

Wetlands also reduce water flow, thus allowing sediments and associated pollutants to settle out. A marshland can prevent flooding in a nearby town bye temporarily storing water!

Choose the slope-intercept form of 3x + 2y = 5.

y =3/2x-5/2

y = -3/2x+5/2

y = -3/2x+5/3
y = 2/3-5/3

Answers

Answer:

y = -3/2 x + 5/2

Step-by-step explanation:

3x + 2y = 5

2y = 5 - 3x

y = -3/2 x + 5/2

Answer:

y= -3/2x+5/2

Step-by-step explanation:

3x + 2y = 5

2y= 5- 3x

y= 5/2 - 3/2x

y= -3/2x+5/2

At the beginning of the week, a puppy weighed 5/14 pounds. During the week, the puppy gains 8 ounces.

How much does the puppy weigh, in pounds, at the end of the week?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

51/12

as a mixed number

4 1/4

Step-by-step explanation:

first you add 8 to 4 which is 12

so the improper fraction would be 51/12

how to turn it in to a mixed number in simplest form

step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 51 by 12 and keep only what is to the left of the decimal point:

51 / 12 = 4.2500 = 4

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

51 - (12 x 4) = 3

Step 3 - Put Together

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

4  

   3  

   12  

Step 4 - Minimize

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 51/12 as a Mixed Number is:

4  

   1  

   4  

Using the following image, if = 20, what are , , and .

If you are using a screen-reader, please consult your instructor for assistance.

= Answer

= Answer

= Answer

Answers

Answer:

Step-by-step explanation:

if DF=20, then:

4x+8+2x-2=20

6x+6=20

6x=14

x=14/6

x=7/3

then

DE=4x+8

DE=4(7/3)+8

DE=(28/3)+24/3

DE=52/3

And

EF=2x-2

EF=2(7/3)-2

EF=14/3-6/3

EF=8/3

what is 6(1-10p)-7 jfghhdddcv

Answers

Answer:

-1 -60p

hope it helps

Step-by-step explanation:

6 (1-10p) -7

First solve 6(1-10p) using distributive property of subtraction

(6*1)-(6*10p) -7

= 6-60p -7

Add the constants of the equation

= (6-7) -60p

= -1 - 60p

Answer:

-60p-1

Step-by-step explanation:

Well in simplyfying it we can determine that 6*1 is 6 and 6*-10p is -60p

So then the answer is -60p-1.

Consider the system of equations. y = –5x – 1 y = 2x + 6 Choose the correct answer to each question. What is the slope of the first line? What is the slope of the second line? How many times do the lines intersect? How many solutions does the system have?

Answers

What is the slope of the first line?  

✔ –5

What is the slope of the second line?  

✔ 2

How many times do the lines intersect?  

✔ 1

How many solutions does the system have?  

✔ 1

Answer:

Step-by-step explanation:

-5x - 1 = 2x + 6

-7x - 1 = 6

-7x = 7

x = -1

y = -5(-1) - 1 = 5 - 1 = 4

(-1. 4)

first slope: -5

second slope: 2

once

one

can you add a fraction and a whole number.give and example​

Answers

Step-by-step explanation:

if you have a whole number and fraction you can simply at them together, which results in what's called mixed number .

example : the mixed number 8 3/4 is understood to mean the same thing as

8 + 3/4.

Given the graph below, which of the following statements is true?

Answers

Since there is nothing attached for me to help you I looked for a website that can find the answer with an explanation. It is called quickmath it’s like a math calculator . Hopefully that helps you .

Write 0.03 as percents.

Answers

Answer:

3%

Step-by-step explanation:

Just move the decimal 2 spaces to the right .03 becomes 3% :)

0.03 as a percentage is 3%. Hope that helped:))

What is the area of this parallelogram? ____cm2

Answers

Answer:

30.6

Step-by-step explanation:

The area of a parallelogram is base * height.

Base = 6.8

Height = 4.5

6.8 * 4.5 = 30.6

Just answering so Adriantan2019 can get brainliest because that was a good answer and I don't remember how to do the area! SORRY! :) Have a great day! :)

URGENT The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 158. If state A has more counties than state​ B, how many counties does each state​ have?

Answers

I’m not sure try using photo math

Determine the value of a. answers: A) 10 B) 6 C) 7 D) 70

Answers

Answer:

C

Step-by-step explanation:

Since triangles TUS and QRS are similar, if TUS is isosceles then so is QRS. This means that all corresponding proportions are at a constant ratio. So if TS=US, QT=RU and therefore a=7. Hope this helps!

Answer:

a =7

Step-by-step explanation:

The triangles are similar so we can use ratios

10           10

------  = --------

10+a      10+7

Since the numerators are the same, the denominators have to be the same

10+a = 10+7

a = 7

Kristin spent $128 on shirts. Fancy shirts cost $20 and plain shirts cost $10. If she bought a total of 8
shirts, then how many of each kind did she buy?

Answers

Answer:

6 Fancy shirts

Step-by-step explanation:

She buy a Total of 6 shirt

Classify COB in the image above as either acute, obtuse, right, or straight angle.

Answers

Answer:

Number 2 obtuse

Step-by-step explanation:

Answer:

∠COB is obtuse angle

Explanation:

I attached an image showing how to tell the difference between an acute, obtuse, right, and straight angle.

We can clearly see, just by looking at the image. ∠COB is an obtuse angle

Other Questions
Hi guys, please help me! ! I just need an introduction for this topic..I will completely agree and I have the points for it, but I couldn't write an introduction :((*Today computers have made people more addicted to it. People spend a lot of time using it for entertainment and this is affecting their health*.To what extent do you agree or disagree with the above statement?) underline the verbal in the sentence and the type ....(1) Play around electricity is dangerous Ead the sentence, and use synonym context clues to determine the definition of opprobrium. Although people tend to react to new regulations with disapproval, I have never seen a proposed law face such opprobrium as the proposal to raise the driving age to twenty-one. Based on the sentence, what does the word opprobrium most likely mean? Which word is a synonym for opprobrium? f a company is considering the purchase of a parcel of land that was acquired by the seller for $85,000, is offered for sale at $150,000, is assessed for tax purposes at $95,000, is recognized by the purchaser as easily being worth $140,000, and is purchased for $137,000, the land should be recorded in the purchaser's books at: If the relationship below are given in form (input, output), Which pairing always describes a function? A carton contains 20 shirts , of which q are made of pure cotton. After 4 more pure cotton shirts are added to the carton, the probability of drawing a pure cotton shirt becomes 3/4 , find the value of q. you secure a mortgage to buy a house with a loan of $140,000 at 8.5% for 20 years. answer the following questions about that loan for the first two months of payments: a) what is the monthly payment? b)how much of the monthly payment goes toward interest when you submit your first payment? c)what is your balance after the first payment? d) how much of the monthly payment goes toward interest when you submit your second payment? e) what is your balance after the second payment? What is a herbivore?A. an animal that gets energy from eating other animalsB. an organism that gets energy from eating only plantsC. an animal that gets energy by eating both plants and other animalsD. an animal that eats only herbs An iron-carbon alloy initially containing 0.258 wt% C is exposed to an oxygen-rich and virtually carbon-free atmosphere at 1120C. Under these circumstances the carbon diffuses from the alloy and reacts at the surface with the oxygen in the atmosphere; that is, the carbon concentration at the surface position is maintained essentially at 0.0 wt% C. At what position will the carbon concentration be 0.194 wt% after a 6 h treatment? The value of D at 1120C is 6.9 10-11 m2/s. What are the biggest complaint you hear parents and other adults make about kids and their smartphones? I need help ASAP!!!! The shape of a lens affects the _____. A. direction light is bent B. color of light moving through it C. medium in which the light travels D. speed of light traveling through it Explain what circumstances justified Roosevelt's faith in George Curry's honesty, courage, and loyalty? What positions did Rooseveltappoint Curry to as a result of his character? Fill in the blanks: 1. The situation when law of demand is not applicable is known as it's............ 2. When price of one good affects to the demand for other good, this situation is known as ............... 3. Demand is the effective desire backed by.....................And ..................... ramp is 9.4m long and joins two levels, one 3.1m higher than the other find angle that ramp makes with the lower level Explain the difference between perimeter and area. What do they measure? What types of units are they measured in? NEED ANSWER STAT!!!!! If p=(-3,-2) and q=(1,6) are the endpoints of the diameter of a circle find the equation of the circle Explain how combining like radicals is similar to combining like terms. need help with ASAP please Consider the binding energy of two stable nuclei, one with 60 nucleons and one with 200 nucleons. a. Is the total binding energy of the nucleus with 200 nucleons more than, less than, or equal to the total binding energy of the nucleus with 60 nucleons. Justify your reasoning.