In how many ways can you select two people from a group of 15 if the order of selection is not important?

Answers

Answer 1

Answer:

105 ways

Step-by-step explanation:

Because the order of selection does not matter, we know that we will be using a combination instead of a permutation.

₁₅C₂ = 15! / (2! * 13!)

= 15 * 14 * ... * 2 * 1 / 2 * 1 * 13 * 12 * ... * 2 * 1

= 15 * 14 / 2 * 1 (The 13! cancels out)

= 105

Answer 2

Answer:

105 ways, because the order of selection does not matter, we know that we will be using a combination instead of a permutation.


Related Questions

HELPPPPPPPPPPPPPPPPPPPPPPPPPP
What are the rules for subtraction and multiplication with negative numbers???

Answers

Answer:

Step-by-step explanation:

+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5

−(−) 6−(−3) = 6 + 3 = 9

+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5

−(+) 8−(+2) = 8 − 2 = 6

which graph shows a linear function? ​

Answers

Answer:

Step-by-step explanation:

You have shared only one graph, that of a quadratic function with vertex at (0, 0) and an equation based upon y = ax^2, where a is a constant coefficient.

Please go back to the source of  your question and describe the other graphs that were given to you.

The graph that shows a straight line is the linear function.

Simplify:
3x(2y+5)-2y(3x-5)-5(3x+2).

The final result contains how many terms?

Answers

Answer:

10y-10

Step-by-step explanation:

2 terms

Me ajudem por favor: 3x+30=80

Answers

0.06 es la repuesta

Step-by-step explanation:

Aqui esta como lo podias aser:

1. 3x + 30=80

-30. -30

3x=50

÷3. ÷3

Necesitas que divinir 50 en 3

3(0.06) + 30=80 x=0.06

a jar has 5 tablespoons of honey in it. One serving of Honey is 3/4 of a tablespoon. how many servings of honey are in the jar.

Answers

Servings = total amount / serving size

Servings = 5 / 3/4

When dividing by a fraction, reverse the fraction and multiply:

= 5 x 4/3

= 20/3

= 6 2/3 servings

Answer: 6 servings

Step-by-step explanation:

3/4+3/4+3/4+3/4+3/4+3/4=4.5

if you add 3/4 then it will be  5.25 so basically 5 tablespoons

it is 6 full servings

What is the HCF used prime factorization method of 84 and 98

Answers

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Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Prime Factor of 84:

84

84 divides by 2 84 = 42 x 2

84 = 2 x 42

42 divides by 2 42 = 21 x 2

42 = 2 x 2 x 21

21 divides by 3 21 = 7 x 3

21 = 2 x 2 x 3 x 7

2, 3, 7 is a prime number, therefore no further factorization is possible = 2 x 2 x 3 x 7

~~~~~~~~~~~~~~~~~~~~~~

Prime Factor of 98:

98

98 divides by 2 98 = 49 x 2

98 = 2 x 49

49 divides by 7 49 = 7 x 7

49 = 2 x 7 x 7

2, 7 is a prime number, therefore no further factorization is possible = 2 x 7 x 7

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

when y=6 and x=8 x+9y

Answers

Answer:

44

Step-by-step explanation:

You plug in both numbers for the corresponding letters

2. Change the units of the following speeds as indicated:
a) 72 km/h into m/s
b) 108 km/h into m/s​

Answers

Answer:

Hey there!

Using conversion factors we get-

72 km/h=20 m/s

108 km/h=30 m/s

Let me know if this helps :)


(x+2)(x+4) = x²+6x+8 show the steps

Answers

Answer:

(x+2)(x+4)=x^2+6x+8

Step-by-step explanation:

first you foil (x+2)(x+4) and you get x^2, 2x+4x+8

then combine like terms and you get x^2+6x+8

Answer:

(x+2)(x+4) = x*x + x*4 + 2*x + 2*4

                = x² + 4x + 2x + 8

                = x² + 6x + 8

Question 2 (1 point)
Choose the correct equation. Then solve the equation. [THERE ARE
TWO CORRECT ANSWERS]
A kid has 8 more quarters than dimes. The total number of coins is 20.
a. 8 quarters 16 dimes
b. 6 dimes and 14 quarters
c. 6 quarters 14 dimes
d. d + (d + 8) = 20
e. 10 quarters and 10 dimes
f. d + 8 = 20
g. 8d = 20​

Answers

Answer:

b.  6 dimes and 14 quartersd.  d + (d + 8) = 20

Step-by-step explanation:

If we let d represent the number of dimes, then d+8 represents the number of quarters. The total number of coins is the sum of the numbers of each:

  d +(d +8) = 20 . . . . . matches choice d

Collecting terms, we have ...

  2d +8 = 20

  d +4 = 10 . . . . . divide by 2

  d = 6 . . . . . . . . subtract 4

The kid has 6 dimes and 14 quarters. (matches choice b)

An object is moving at a speed of 95 kilometers every 7.5 weeks. Express this speed in
feet per day

Answers

Answer:

5,936.76 feet/day

Step-by-step explanation:

Formula to use to get the speed is expressed as speed = Distance/Time

Given parameters

Distance = 94km

Time = 7.5weeks

Since we are to express the answer in feet per day, we will convert the distance to feet and time to days.

For the distance:

Given the conversion

1 km = 3280.84 feet

95km = (95*3280.84)feet

95km = 311,679.8 feet

For the time:

If 1 week = 7 days

7.5weeks = (7.5 * 7)

7.5weeks = 52.5 days

Speed In ft/day =  311,679.8 feet/ 52.5 days

Speed in ft/day = 5,936.76 feet/day

Hence the speed in feet per day is  5,936.76 feet/day

Why are (1,2) and(2,1) not equal ordered pair? ​

Answers

Answer:

The pairs ( 1 , 2 ) and ( 2 , 1 ) are not equal because their respective elements are not equal.

Step-by-step explanation:

The pair of elements which are in specific order is called an ordered pair. The pair ( 1 , 2 ) is not same as the pair ( 2 , 1 ). In the pair ( 1 , 2 ) 1 is in the first position and 2 is in the second position. In the pair ( 2 , 1 ), 2 is in the first position and 1 is in the second position.

Two ordered pairs ( a , b ) and (c , d ) are said to be equal if a = c and b = d. We write ( a , b ) = ( c , d ).

Hope I helped!

Best regards!!

It is considered as ordered pair whenever a pair of elements do have a specified order. (1,2) are not the same thing ( 2, 1 ).(1, 2) has 1 in the first slot and 2 in the second. (2,1) are put in the first and second positions of the pair.If a = c and b = d, two ordered pairs (a, b) and (c, d) are equal. A and B are written as (a, b) = ( c , d ).Therefore, The pairs (1, 2) and (2, 1) aren't equal because their elements are not quite the same size.

Learn more:

brainly.in/question/20738422

A data set with whole numbers has a low value of 20 and a high value of 96.
Find the class width for a frequency table with seven classes.
Find the class limits for a frequency table with seven classes.

Answers

Answer and Step-by-step explanation:

The computation of the class width for a frequency is shown below:

Class width is

[tex]= \frac{Range}{Number\ of\ class} \\\\ = \frac{96 - 20}{7}[/tex]

= 10.86

= 11

Now the class limits for a frequency table

Particulars      Lower class limit to upper class limit

First class          20 - 30

Second class    31 - 41

Third class        42 - 52

Fourth class      53 - 63

Fifth class         64  74

Six class           75 - 85

Seventh class   86 - 96

The class width for a frequency table with seven classes is 10.86.

The class limits for a frequency table with seven classes are;

Particulars      Lower class limit to upper class limit

First-class          20 - 30

Second class    31 - 41

Third class        42 - 52

Fourth class      53 - 63

Fifth class         64  74

Six class           75 - 85

Seventh class   86 - 96

Given

A data set with whole numbers has a low value of 20 and a high value of 96.

1. The class width for a frequency table with seven classes is;

[tex]\rm Frequency = \dfrac{Highest \ term - lowest\ term }{Class}\\\\ Frequency = \dfrac{96-20}{7}\\\\ Frequency = \dfrac{76}{7}\\\\ Frequency =10.86[/tex]

The class width for a frequency table with seven classes is 10.86.

2. The class limits for a frequency table with seven classes are;

Particulars      Lower class limit to upper class limit

First-class          20 - 30

Second class    31 - 41

Third class        42 - 52

Fourth class      53 - 63

Fifth class         64  74

Six class           75 - 85

Seventh class   86 - 96

To know more about Frequency click the link given below.

https://brainly.com/question/17678599

Write the fraction 7/8 as an equivalent fraction with the given denominator 40

Answers

Answer:

35/40

Step-by-step explanation:

7/8, with the given denominator 40

So how do we get 8, to turn into 40?

Simple multiplication.

8x5 = 40, and whatever we multiply times the denominator, we multiply for the numerator.

So

7x5 = 35

The answer should be 35/40

*PLEASE HELP

Type your response in the box.
Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are on a collision course. The graph represents their paths and likely collision point, with the origin representing the initial position of asteroid A. What is the point of intersection of the two lines, and what do the x- and y-values of the point of intersection mean?

Answers

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

Answer:

The point of intersection of the two lines is (6, 8). The x-value means that the two asteroids will collide in 6 days. The y-value means that they will collide 8 million miles away from where asteroid A is now located.

Step-by-step explanation:

Exact answer from edmentum.

O Sr. Lima investiu R$5000,00 em um fundo de ações. No 1º ano as ações do fundo valorizaram-se 35%; no 2º ano, valorizaram-se 20% (em relação ao 1º ano) e no 3º ano desvalorizaram-se 30% (em relação ao 2º ano). Que valor o Sr. Lima terá ao final dos três anos? a) R$ 10.530,00 b) R$ 5.670,00 c) R$ 6.853,00 d) R$ 7.500,20 e) R$ 8.320,40

Answers

Responda :

R $ 10.530

Explicação passo a passo:

Investimento inicial = R $ 5.000

Apreciação no primeiro ano = 35%

Apreciação no segundo ano = 20% em relação ao primeiro ano

Valorização no terceiro ano = 30% em relação ao segundo ano

Se o investimento se valorizar em 35% no primeiro ano:

35% do investimento: 0,35 × R $ 5.000 = R $ 1.750

Total após o primeiro ano = R $ (5.000 + 1.750) = R $ 6.750

2º ano:

Valorização de 20% em relação ao primeiro ano:

20% de 6750 = 0,20 * 6750 = R $ 1.350

Total = (6.750 + 1.350) = R $ 8.100

3 º ano:

Valorização de 30% em relação ao segundo ano:

30% de 8100 = 0,30 * 8100 = R $ 2.430

Total = (8.100 + 2.430) = R $ 10.530

No final do terceiro ano:

R $ 10.530

3. Travis gets a job which pays $22.50/h. Samantha
gets a job that starts at $0.01/h and doubles every
day. How long will it take before Samantha makes
more per hour than Travis?
a. 12 hours
b. 12 days
C. Samantha will never make more than Travis
d. 6 months

Answers

Answer: 12 days

Step-by-step explanation:

How do you graph y = √ 5 - x? How do I find the coordinates by hand?

Answers

Each point is of the form (x,y). We replace x with some number to get a paired y value.

For instance, if x = 1, then,

[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-1}\\\\y = \sqrt{4}\\\\y = 2[/tex]

Meaning x = 1 and y = 2 pair up. The point (x,y) = (1,2) is on the curve.

Then let's try x = 4

[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-4}\\\\y = \sqrt{1}\\\\y = 1[/tex]

Showing (4,1) is also on the curve.

The point (5,0) is also on the curve too because of the steps below

[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-5}\\\\y = \sqrt{0}\\\\y = 0[/tex]

We can't go any higher than x = 5 or else the expression 5-x will be negative. Eg: if x = 7, then 5-x = 5-7 = -2. We cannot take the square root of a negative and get some real number output.

So let's go in the opposite direction. Let's try x = -4

[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-(-4)}\\\\y=\sqrt{5+4}\\\\y = \sqrt{9}\\\\y = 3[/tex]

Showing (-4,3) is also on the curve.

The x values I'm picking are such that the y value is an integer. For the majority of the x values, you'll get some decimal value which is a bit tricky to graph on paper. So effectively you'll have to use trial and error to find the right x values to pick. The goal is to get the stuff under the square root to simplify to some perfect square (0,1,4,9,...etc)

After generating enough points, you draw a curve through them all. The more points, the more accurate the graph.

you are given the expressions 76+n and 2n + 26. What is the smallest value of n that will make each number rational?

Answers

Step-by-step explanation:

A proof that square root of 2 is irrational. ... An equation x² = a, and the principal square root ... The number under the radical sign is called the radicand. ... the given square numbers, each product of square numbers is equal to what square ... are relatively prime -- and it will be impossible to divide n· n into m· m and get 2.

Answer: The Answer is N = 5

Step-by-step explanation:

The reason is that 76 + n and 2n + 26. 5 can work for both of them. 76 + 5 = 81 which is a rational number and 2 * 5  + 26 = 36 which is also a rational number.

In a recent survey of 400 students in a college, were listed as studying Typing (T) were registered for both courses and were listed as studying accountancy (T).

Answers

Answer:

The intersect of typing and accounting ( T ∩ A ).

Step-by-step explanation:

if 200 student study typing;

200 study accounting;

the set rule pictures this as;

       typing( T ) = { 200 typing student }

       accounting ( A )= { 200 accounting student }

To get the number of students enrolled for both courses;

  We intersect the typing and accounting sets values.

  that is;  

               students enrolled for both courses = T ∩ A

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work?

Answers

Answer:

C(h) = 50h + 25

$425

Step-by-step explanation:

Et the plumber works for h hours.

Cost of one hour = $50

Therefore, cost of h hours = $50h

Total cost = cost of h hours + plumber service call charge

C(h) = 50h + 25 (required equation)

Plug h = 8

C(8) = 50* 8 + 25 = 400 + 25 = $425

The next term in the geometric sequence -1, -2, -4, ... is -6. True or False

Answers

Answer:

False

Step-by-step explanation:

Geometric series have ratios.

The ratio here is 2.

So the next term should be -8.

Estelle is raking leaves in her yard. After 1 hour, she has 2 bags of leaves. After 3 hours, she has 6 bags of leaves. Which graph represents Estelle's leaf raking progress? (2 points)

Answers

Answer:

You're looking for the graph [tex]y=2x[/tex]

Step-by-step explanation:

If Estelle is raking in leaves at a constant rate, which we usually assume for cases like this, we're looking for a function of the form

[tex]y=kx+m[/tex]

x here is going to be the number of hours, or time.

y is going to be the number of bags she has raked in.

First of all, we know that at time 0, she hasn't raked in any leaves. So when x is 0, we know y is 0. Let's put these values in our function.

[tex]0 = k * 0 + m[/tex]

[tex]0 = 0 + m[/tex]

[tex]m = 0[/tex]

We now know m is 0.

We also know that after 1 hour, Estelle has 2 bags of leaves. So when x is 1, y will be 2. Let's put these values in.

[tex]2 = k*1[/tex]

We're excluding m as we know it's 0.

[tex]k=2[/tex]

So k is 2, and m is 0. Let's put these values in our original function [tex]y=kx+m[/tex]:

[tex]y = 2x + 0[/tex]

[tex]y=2x[/tex]

The equation is y=2x.

Putting this into a graphing calculator, we get this graph (attached).

a recipe for chocolate chip cookies calls for 1 1/4 cups of flour. if you are making 2 1/3 recipes, how many cups of flour are needed?​

Answers

Answer:

2 11/12 cups of flour

Step-by-step explanation:

well 2 recipes is 2 1/2 cups of flour

1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12

so 2 11/12 cups of flour



can you answer this

Answers

Answer:

3 square fhfhfjshxfjkzkdjzhx h2jxfjwjznnznzn

The line plot below shows the distances of discus throws in a contest.
What was the distance of the shortest throw?
Discus Throw Distances in Meters
30 31 32 33 34 35 36 37 38 39 40 42 44 45 46 47 48 49 50
A 30 meters
B. 35 meters
40 meters
D. 50 meters

Answers

I think is 40 meters

this is the photo of the question​

Answers

Answer:

Plant B

Step-by-step explanation:

The only measure of variation we really need to check is the mean, or average, of tomatoes that each plant produced. This is because if Kathryn was a farmer, she would want a plant that on average, produces more tomatoes. For that reason, in this context, the mode, median and range are irrelevant. To find the mean of a data set, you simply divide the sum of all of the data by the number of data in the set. Therefore:

Mean of Plant A: (4 + 6 + 7 + 3 + 6 + 2 + 1 + 3 + 6 + 5) / 10 = 43 / 10 = 4.3

Mean of Plant B: (5 + 6 + 7 + 6 + 8 + 9 + 6 + 7 + 8 + 9) / 10 = 71 / 10 = 7.1

As you can see, the mean tomatoes Plant B produces is larger than that of Plant A, therefore, Kathryn should choose Plant B if she was a farmer.

Select all the properties that can be used to solve 7y – 15 = –29. Group of answer choices Identity Property of Multiplication Inverse Property of Multiplication Commutative Property of Addition Addition Property of Equality Distributive Property

Answers

Answer:

Inverse property of multiplication

Step-by-step explanation:

What is h-(-5)=2? And how do you solve it?

Answers

Answer:

It is an equation, and the answer is [tex]h = -3[/tex]

Step-by-step explanation:

We have a variable that's equal to a term, so this is an equation.

To solve this, we want to isolate h on one side.

[tex]h - (-5) = 2[/tex]

Subtracting a negative is the same thing as adding a positive:

[tex]h + 5 = 2[/tex]

Now we can subtract 5 from both sides to isolate h.

[tex]h + 5 - 5 = 2-5\\\\h = -3[/tex]

Hope this helped!

Answer:2 2/2

Step-by-step explanation:

Combine like term: 7x+2y+9x+9

Answers

Answer:

16x +2y +9

Step-by-step explanation:

I hope this helps. Just combine the numbers with the same Variable/letter. That's why only 7x and 9x were combined together

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Someone please help me with this question I need it ASAP Which statement is true regarding cystic fibrosis? It is autosomal-dominant. It affects endocrine glands. It is common in African Americans. It is the most common genetic disease in the United States. If 2+3=5, Then _____ ______. When managers monitor the performance of individuals, departments, and the organization as a whole to determine if they are meeting desired performance standards, they are engaging in the essential task of ______. Orden the Numbers 0.78, 3/4, and 0.8 from last to greaters HELP WITH DOING TAXESi want to know if taxes have to be sent to your house like i know i can do them online but do they still need to send me a paper form The yearly attendance at a local restaurant is 48,300 and grows continuously at a rate of 6.8% each year. What is the approximate attendance at the restaurant in 18 years? How to do this question plz answer my question step by step plzz plz plz plz 1. Many photographs tell a story. What is the story of this photograph? What is happening? Where is the photograph taken? Why is the photograph taken? 2. Good photographs create an emotion or feeling. What emotion does this photograph make you feel? How does the photographer create this emotion in the photograph? A one batch recipe of muffins makes a dozen muffins. it requires 2 eggs, twocups of flour, and a 1\4 pound of sugar. There are 454 grams of sugar in a pound.How many grams of sugar are in a muffin? ** What is one distinction between the text and the illustration that is a result ofthe difference in medium?O A. The text describes Don Quixote as though he is the equire.B. The image gives details about the location where the two menmeetC. The text shows what the laborer and the narrator are thinkingD. The image indicates the laborers height compared with DonQuixotes how many hydrogen atom are there in 5 moles of methyl alcohol Why did the US government continue to use a reservation system for American Indians in the West? Check the possible reasons. Please solve 5x = 75 Given the different perspectives of diverse groups regarding international trade, on what should national trade policy be based Winslow Homers, Shore and Surf (above), is an example of how artists take elements from the environment to _____________ Example 1: Simplify the expression,127 - 2(3+4) An electric iron of resistance 20 takes a current of 5A. Calculate the heat developed in 30seconds? 1. Which of Hubble's findings supported the big bang theory? Circle all that apply. (3) a. Galaxies that are closest to ours are moving more quickly than those located farther away. b. Galaxies tend to move toward each other. c. There are billions of galaxies in the universe, not just one. d. The universe formed from a central point. e. Most galaxies in the universe are moving away from Earth. If you have a volume of 10 mL and a mass of 100kg what is the density (please explain)