There are 6 seniors on student council. Two of them will be chosen to go to
an all-district meeting. How
many ways are there to choose the students who
will go to the meeting?
Decide if this is a permutation or a combination, and then find the number of
ways to choose the students who go.

Answers

Answer 1

By using the property of combination, it can be calculated that -

This is a problem of combination.

There are 15 ways to choose the students who will go to the meeting

What is combination?

Combination is the process of selection some objects from a group of items where the order of the selection do not matter

This is a problem of combination

Number of seniors = 6

Number of students will go to the all district meeting = 2

Number of ways to choose the students who will go to the meeting =

                                                                                                       [tex]{6 \choose 2}[/tex]

                                                                                                = [tex]\frac{6!}{(6 - 2)! \times 2!}[/tex]

                                                                                                = 15

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Related Questions

can anyone explain to me how to find a locus of any point

Answers

Find the locus of a point P such that its ordinate is equal to the abscissa. Hence required equation of the locus of point P is y = 5x + 9. Hence required equation of the locus of point P is x = 2y + 3.

what is x in the expression 5x +7

Answers

Answer:

-1.4

Step-by-step explanation:

5x+7=0

5x=-7

x= -1.4

Answer:

1.4

Step-by-step explanation:

5x + 7

x +[tex]\frac{7}{5}[/tex]

x = 1.4

⚠️Help me with math please ​

Answers

Answer:

what am I supposed to answer

Step-by-step explanation:

HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

G

Step-by-step explanation:

Start is at 9 gallons

6 days of water use

9/6 is 1.5

1.5 gallon per day    :)

write a real world division problem for which you would drop the remainder


MEANING THERE WOULD BE NO REMAINDER!!!

Answers

Answer:

No remainder: Ana has 49 chocolate bars and she wants to give the same amount to each of her seven friends. How many chocolate bars would each friend get?

You have a remainder but don't use it: Ana has a 498 sticker pack. She wants to divide them amongst her 7 friends. How many stickers would each friend get if they all get the same amount?

Step-by-step explanation:

In the first one if you divide 49 by 7 you will get no remainder but in the second one you will

I didn't know what your question meant so I answered it if the problem had no remainder or if the problem did have a remainder but it is not used

Hope this helped :)

Answer:

You are a teacher holding a competition amongst your students. In your class, you have 31 children competing. The prizes that you give them are chocolates. Beforehand, you bought 2 bags of Hershey's Kisses. Inside one bag, there are 70 Hershey's Kisses. In the end of the competition, you teach your students that in your classroom, there are no winners or losers; just learners. You spread the Hershey's Kisses evenly amongst all of your students. You keep the remaining ones left. How many Hershey's Kisses do your students get?

(I hope whoever grades this for you gets a little laugh out of it lol)

Select the statement that describes this expression: 5 x (3 + 4) − 4. (2 points)

5 times the sum of 3 and 4, then subtract 4

5 times 3 plus 4 minus 4

5 more than the sum of 3 and 4, and then subtract 4

5 times 3 plus the difference of 3 and 4

Answers

Answer:

5 times the sum of 3 and 4, then subtract 4

Answer:

5  times the sum of 3 and 4, then subtract 4

Step-by-step explanation:

Hope this helps

I need help with this please

Answers

Answer:

27

Step-by-step explanation:

2 is vertical to 1, making it 27 as well. then, 4 is corresponding to 4, making it 27

Answer:

27°

Step-by-step explanation:

angle 1 is vertically opposite to angle 2

angle 2 is correspondence to angle 4

vertically opposite and corresponding angles are equal

may someone plz help me I have been stuck on this for a day

Answers

Answer:

The concluding part

Step-by-step explanation:

Answer:

answer is option 3 and it's correct

How can you use a table or a graph to determine if a function is linear or nonlinear?

Answers

Answer: To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!

Step-by-step explanation:

Based on the samples collected if there are 10000 voters in the town how many voters can we predict will vote for smith

Answers

The question is incomplete and a question match couldn't be found online. However, an hypothetical solution will be provided

Answer:

Kindly check explanation

Step-by-step explanation:

We can make prediction about a population based on the outcome of a sample statistic.

From a random sample of voters, n ; the number who voted Smith = x

(p = x / n) gives the proportion of votes Smith will get according to the sample :

For instance :

n = 100 ; x = 10

p = 10 / 100 = 0.1

The predicted Number of votes Smith will Get if there are 10000 voters :

p * 10000

0.1 * 10000

= 1000 votes

1. 12x^2-8x

2. x^2+5x-36

3. 3x^2+10x+8

Please show all the work for how to solve these problems, thanks.​

Answers

Answer:

Step-by-step explanation:

1) the two members of the expression has 4x in common, so we can rewrite it as: 4x(3x-2)

2) we have to find two numbers that multipied give -36 and that added up give 5

the two number are 9 and -4

we can rewrite the expression as : (x+9)(x-4)

3) we have to solve the associated equation

3x^2+10x+8 = 0

Δ/4 = 25-24 = 1

x1 = (-5+1)/3 = -4/3

x2 = (-5-1)/3 = -2

now we can rewrite the expression as

3(x+4/3)(x+2) = (3x+4)(x+2)

Answer:

1. 12x^2-8x

taking common 4x

4x(x-2)

2. x^2+5x-36

doing middle term factorization

x²+9x-4x-36

x(x+9)-4(x+9)

(x+9)(x-4)

3. 3x^2+10x+8

Doing middle term factorization

3x²+6x+4x+8

3x(x+2)+4(x+2)

(x+2)(3x+4)

What is mpo?
128°
O 1730
O 1920
O 256°

Answers

Answer:

it's the 2nd one because

Step-by-step explanation:

have a nice day

Triangle ABC has vertices A(–2, 3), B(0, 3), and C(–1, –1). Find the coordinates of the image after a reflection over the x-axis.A’ B’ C’

Answers

Answer:

(-2,-3), (0,-3), (-1,1)

Step-by-step explanation:

When reflecting over an axis, the axis you are reflecting over stays the same while the opposite axis becomes its opposite number, like reflect (12, -9) over the y axis, the y (-9) would stay the same but the x (12) would become (-12)

whats the equation to #4

Answers

Answer:

I'm guessing this is for volume

Step-by-step explanation:

The equation to number 4 is

15 x 10 x 12= 1,800 in³

Please answer correctly! I will mark Brainliest!

Answers

Answer:

Mind Making A New So We Can Help?

Step-by-step explanation:

Question 4: Subtract the following polynomials in this equation.

Answers

Answer:

c

Step-by-step explanation:

(x²-3x+8)-(7x²-2x-1)

x²-3x+8-7x²+2x+1

x²-7x²-3x+2x+8+1

-6x²-x+9

tq

number 1- equivalent expression for 3(x +5) +4x -8?

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Camden put $25,000 in an investment 10 years ago. The investment increased in value by 5.6% per year. What is the value of the investment now?

Answers

Answer:

$26,000

Step-by-step explanation:

5.6% of $25,000

=$1400

$1400+$25,000= $26,000

Larry surveyed 20 students at random about their pizza preference and found that 14 prefer cheese pizza. If 150 students are expected to attend the after school pizza party, about how many books prefer cheese pizza?

Answers

Answer:

its 105 yw pls mark me brainliest pls

Step-by-step explanation:

105 students  prefer cheese pizza.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are represented or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

If Larry surveyed 20 students then 14 students prefer cheese pizza.

So, the fraction for students who choose prefer cheese pizza is

= 14/20

Now, there are 150 students then number of students who prefer cheese pizza

= 14/20 x 150

=  2100/20

= 105

Hence, 105 students  prefer cheese pizza.

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A cylinder has a diameter of 12 centimeters and a height of 7 centimeters. Which formula below could be used to determine the lateral surface area of the cylinder?

S = (12),(7)
S = 2π ,, times,,,6,, times,,,7

S = 2π ,, times,,,12,, times,,,7

S = (2π ,, times,,,6,, times,,,7) + (2π ,, times,,,6

Answers

Answer:

S = 2π,, times,,,6,, times,,,7

Solutions of a Two-Variable Equation Tell whether the given ordered pair is a solution of the equation. 1. 4y + 2x = 3; (1.5, 0) 2. y= 7x - 5; (0,5) 3. y = - 2x + 5; (2, 1)​

Answers

Answer:

1. yes     2. no   3. yes

Step-by-step explanation: (put this if you have to show your work)

1.  4*0+2*1.5 (solve with a calculator or by hand)

2 y*5=7*0-5(same as above solve with a calculator or by hand)

3. 1=-2*2+5(same as above solve with a calculator or by hand)

plz help 3.15 math


liner graph to ansrew each equation​

Answers

I can’t see the picture at all.

A flagpole 8m high cast a shadow of 12m, while a nearby building cast a shadow of 60m. How high is a building?

Answers

Answer:

40 m

Step-by-step explanation:

8/12=x/60

x=(8*60)/12

x=40

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The height of the building when it cast a shadow of 60 meters is 40 m.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

As it is given that the height of the pole is 8m, while the shadow cast by the pole is 12 m. If we use the ratio of trigonometry then the height of the building can be written as,

[tex]\rm Tan(\theta)= \dfrac{\text{Height of the pole}}{\text{Shadow of the pole}}= \dfrac{\text{Height of the building}}{\text{Shadow of the pole}}[/tex]

[tex]\dfrac{8}{12}= \dfrac{\text{Height of the building}}{\text{60}}\\\\\dfrac{8 \times 60}{12}= {\text{Height of the building}}\\\\\text{Height of the building}=40\ \rm m[/tex]

Hence, the height of the building when it cast a shadow of 60 meters is 40 m.

Learn more about Tangent (Tanθ):

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What is the area of the triangle?
2

Answers

Answer:

the asnwer is 36!

Step-by-step explanation:

Answer:

the area of triangle is

Step-by-step explanation:

A=h{b}  b

2=2·6

2=6

One positive number is 2 less than another. The sum of their squares is 34. What is the smaller number?

Answers

Answer:
The smaller number is 3. The number 3 squared is 9, plus the other number 5 squared, which is 25. when you add them, you get 34

Step-by-step explanation:
x = first number
y = second number
a. x+2 = y
b. x^2 + y^2 = 34
Replace y from equation a into equation b:
x^2 + (x+2)^2 = 34
Expand it
x^2 + x^2 + 4x + 4 = 34
2*x^2 + 4x = 30
2x^2 + 4x - 30=0
solving x:
x = -5 and x =3 , it says it is a positive number, then it is x is 3
and the second number, y = x + 2
y = 5
Lets test it!
3^2 + 5^ 2 = 9 + 25 = 34

Plzz help
i really need help

Answers

The volumes are 1/8 > 1/16

Please help!! Someone helped me but I couldn’t get into the link. Finding directrix of parabola with (x-1) squared=12(y+2)

Answers

Answer:Vertex: (1,-4)

Focus: (1,-1)

Directrix: y = -7

Step-by-step explanation:Brainliest?

Jesean buys a pizza for 20$ and 10 drinks. The drinks Cost the same amount. He spends 32$ on the pizza and the sodas together

Answers

Answer: See explanation

Step-by-step explanation:

Yiur question isn't complete but I believe that you want to know the price of the soda.

Let the price of the soda be represented by x.

Jesean buys a pizza for 20$ and 10 drinks. This will be: 20 + 10x

He spends 32$ on the pizza and the sodas together. This can be formed into an equation as:

20 + 10x = 32

10x = 32 - 20

10x = 12

x = 12/10

x = 1.2

Therefore, the soda cost $1.20 each

HELP PLEASE!! at a bale sale there was 42 raisin cookies sold. if the ratio of raisin cookies to oat meal cookies was 6 : 1, what is the combined amount of raisin and oatmeal cookies sold?

Answers

answer!

49 cookies were sold!

explaination!

42÷6= 7

42 plus 7 = 49

the amount of cookies sold was 49

(Sorry if it's wrong)

9 – 3 ÷ 1/3 + 1 = ????

Answers

Answer:

1

Step-by-step explanation:

find common denominator first which is 1/3

1 is the answer to this if you use pemdas or something similar
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