Ms. lewis has 20 students in her p.e. class.
she puts each student's name in a hat and will select
the names of 2 students at random as team leaders for
a volleyball game. how many different pairs of team
leaders could she choose?

Answers

Answer 1

Considering the definition of combination, she could choose 190 different pairs of team.

What is combination

Combinations of m elements taken from n to n (m≥n) are called all the possible groupings that can be made with the m elements in such a way that not all the elements enter; the order does not matter and the elements are not repeated.

To calculate the number of combinations, the following formula is applied:

[tex]C=\frac{m!}{n!(m-n)!}[/tex]

The term "n!" is called the "factorial of n" and is the multiplication of all numbers from "n" to 1.

Different pairs of team leaders

Ms. lewis has 20 students in her p.e. class. She puts each student's name in a hat and will select the names of 2 students at random as team leaders for a volleyball game.

So, you know that:

m= 20n= 2

Replacing in the definition of combination:

[tex]C=\frac{20!}{2!(20-2)!}[/tex]

Solving:

[tex]C=\frac{20!}{2!18!}[/tex]

C= 190

Finally, she could choose 190 different pairs of team.

Learn more about combination:

https://brainly.com/question/25821700

https://brainly.com/question/25648218

https://brainly.com/question/24437717

https://brainly.com/question/11647449

#SPJ4


Related Questions

Walter wants to make 200 candles in the shape of a cone for his new candle business. The mold shown below will be used to make the candles. Each mold will have a height of 6 inches and a diameter of 2 inches. To the nearest cubic inch, what will be the total volume of 200 candles

Answers

Answer:

1256 cubic inches

Step-by-step explanation:

Volume of all 200 candles = volume of one mold × 200

Finding the volume of one mold:

We are given that the molds are in the shapes of cones and have a height of 6 inches as well as a diameter of 2 inches.

The volume of a cone can be calculated using the formula

V = πr²(h/3) where r = radius and h = height

Converting the diameter to radius

The volume of a cone formula requires the radius however we are only given the diameter. However we know that the radius is equal to half of the diameter or radius = diameter / 2

So if diameter = 2 then radius = 2 / 2 = 1 so r = 1

Plugging in the given values into the formula

V = πr²(h/3)

==> plug in r = 1 and h = 6 and π = 3.14 approximately

V = (3.14)1²(6/3)

==> simplify exponent

V = 3.14(1)(6/3)

==> divide 6 by 3

V = 3.14(2)

==> multiply 3.14 by 2

V = 6.28

Finding the volume of the 200 candles.

So we have calculated that the volume of one candle is about 6.28in³ and we want to find the volume of 200 of those candles.

To do so we simply multiply the volume of one of those candles by 200

So volume of 200 candles = 200 × 6.28 = 1256 cubic inches

A- 52/3
B- 52/7
C- 17
D- 3/4​

Answers

The Answer is: A. 52/3

timothy's video game the levels starts with 30 aliens each worth five points Timothy already shot 6 of them how many more points can he get if he shoots the rest on this level?

Answers

Answer:

70 points

Step-by-step explanation:

What percentage of bolivians are catholic? 77% 82% 87% 92%

Answers

According to a survey report in 2018, the percentage of Bolivians that are Catholics is about: A. 77%

Who are the Bolivians?

The Bolivians are people from the country, Bolivia. The country Bolivia is described a predominantly Catholic country as a result of its relations between the Church and the state.

Based on a survey report in 2018, about 77% of Bolivians were said to be Catholics.

Learn more about the Bolivians on:

https://brainly.com/question/20556953

#SPJ4

Answer:

1. b- El trópico

2. A- 77%

Step-by-step explanation:

got a 100 and i jus took the test

find the volume of the compound shape​

Answers

Given:Hemisphere Cylinder Volume of the hemisphere:

[tex]v = \frac{2}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{2}{3} \times \pi \times {1.5}^{3} [/tex]

[tex]v = 7.07 \: {cm}^{3} [/tex]

Volume of the cylinder:

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = \pi \times {1.5}^{2} \times 4[/tex]

[tex]v = 28.27 \: {cm}^{3} [/tex]

Total volume:

[tex]v = 7.07 + 28.27[/tex]

[tex]v = 35.34 \: {cm}^{3} [/tex]

Hence, the volume of the given compound shape is 35.34 cubic centimeters.

v of hemisphere:

2/3 pi r^3

v of cylinder:

pi r^2 h

total:

add both the value

apply the formula and try

Which of the following could be the perimeter of a rectangle with an area of 24 square inches?

A) 24 inches

B) 18 inches

C) 20 inches

D) 32 inches

Answers

Answer: C. 20 inches

Step-by-step explanation:

perimeter= 2 x (4+6)=20 inches

what is equivalent to -3/2

Answers

Answer:

-6/4

Step-by-step explanation:

equivalent, that means something that is equal to so if you break -6/4 to the lowest you get -6/4

longest bridge in the world​

Answers

Answer:

the Danyang–Kunshan Grand Bridge

The world's longest bridge is the Danyang–Kunshan Grand Bridge in China, part of the Beijing-Shanghai High-Speed Railway, according to Encyclopaedia Britannica (opens in new tab). The bridge, which opened in June 2011, spans 102.4 miles (165 kilometers)

Answer:

Danyang–Kunshan Grand Bridge

Step-by-step explanation:

The altitude of an equilateral triangle is 7 units long. The length of one side of the triangle is ____ units. 7 14

Answers

The length side of equilateral triangle is 8.08 units

What is Altitude?

The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side.

Here, let the side of the equilateral triangle be x units

given altitude of the equilateral triangle = 7 units

we know,  

Altitude = √3/2 X side

   7 = √3/2 X x

   x = 7 X 2 / √3

   x = 14/√3

   x = 8.08 units

Thus, the length side of equilateral triangle is 8.08 units.

Learn more about Altitude from:

https://brainly.com/question/18530806

#SPJ1

If the hypotenuse of the triangle below is 8√2, what is the leg?

Answers

Answer:

8

Step-by-step explanation:

The side lengths of this special right triangle is as follows:

The side length that sees angle measure 90 (hypotenuse) is represented with x[tex]\sqrt{2}[/tex]

and

the side length that sees angle measures 45 (the legs) is represented with x

hypotenuse is given as 8[tex]\sqrt{2}[/tex] so we can easily find the value of x and legs in this case

x = 8


If 2 newspapers cost $3.00,
how much does one
newspaper cost?

Answers

Answer:

$1.50

Step-by-step explanation:

you only need to do $3.00/2 = $1.50

Answer:

$1.50

Step-by-step explanation:

3 divided by 2 = 1.5

Feeling anxious about another pandemic induced run-on toilet paper, Mrs. Phillips is making room in a closet for hording Angel Soft toilet paper. Using the Fermi process, she wants to estimate the number of rolls of toilet paper she can fit into a rectangular section of a closet with dimensions of length 36 inches, width 36 inches, height 108 inches.
One Angel Soft MEGA roll has a diameter 5 inches, height 3.75 inches.

About how many Angel Soft MEGA rolls can be fit into the closet space?
Show all math work needed to complete this problem.

Answers

For closet

It's a rectangle

L=36inB=36inH=108in

Volume

LBH36²(108)(36)³(3)139968in³

For rolls:-

Cylindrical body

radius=r=5/2=2.5inHeight=h=3.75in

Volume:-

πr²hπ(2.5)²(3.75)π(6.25)(3.75)73.6in³

Total rolls:-

Volume of closet /Volume of rolls139968/73.61901.71902 rolls

Answer:

1372

Step-by-step explanation:

Rectangular closet dimensions:

length = 36 inwidth = 36 inheight = 108 in

Modelling the roll of toilet paper as a cylinder with dimensions:

diameter = 5 inheight = 3.75 in

If we sit the rolls of toilet paper in the closet with their circular ends as their bases, then we can calculate the number of rolls that cover the base of the closet by dividing the length (and width) of the closet by the diameter of the toilet roll.

⇒ 36 in ÷ 5 in = 7.2 in

Therefore, we can fit 7 toilet rolls along the length and 7 toilet rolls along the width of the closet, meaning that we can fit 7 × 7 = 49 toilet rolls over the base of the closet.

Now calculate how many toilet rolls we can stack on top of each other.

To do this, divide the height of the closet by the height of the toilet roll:

⇒ 108 in ÷ 3.75 in = 28.8

Therefore, we can stack 28 layers of 49 toilet rolls in the closet.

So the total number of toilet rolls = 28 × 49 = 1372

There are other ways of stacking the toilet rolls in the closet (for example, turning them on their side), however, we cannot calculate the number of rolls the closet fits by simply dividing the volume of the closet space by the volume of a toilet roll, since the toilet rolls are cylinders and so there will always be some space between them.

A rectangle sticker had a perimeter of 32 centimeters and a area of 48 square centimeters. what are the dimensions of the sticker

Answers

Answer:

4 cm ×12 cm

Step-by-step explanation:

To find the dimensions of the sticker, start by forming 2 equations for its area and perimeter.

Perimeter of rectangle= 2(length +breadth)

Let the length and breadth of the rectangle be L and B cm respectively.

2(L +B)= 32

Divide both sides by 2:

L +B= 16 -----(1)

Area of rectangle= length ×breadth

LB= 48 -----(2)

From (1): L= 16 -B -----(3)

Substitute (3) into (2):

(16 -B)(B)= 48

Expand:

16B -B²= 48

B² -16B +48= 0

(B -4)(B -12)= 0

B -4= 0 or B -12= 0

B= 4 or B= 12

Substitute into (3):

L= 16 -4 or L= 16 -12

L= 12 or L= 4

Thus, the dimensions of the sticker is 4 cm ×12 cm.

Which best describes the strength of the correlation, and what is true about the causation between sodium and the number of calories in this meal? it is a weak positive correlation, and it is not likely causal. it is a weak positive correlation, and it is likely causal. it is a strong positive correlation,and it is not likely causal. it is a strong positive correlation, and it is likely causal.

Answers

Based on the correlation coefficient between sodium and the calories in the meal, we can say that there is a strong positive correlation, and it is not likely causal.

What do correlation coefficients tell us?

Correlation coefficients are used to show the strength of a correlation between two variables. They go from -1 to 1 and the closer to figure is to 1, the stronger the correlation between the two.

If the figure is close to 1 (instead of -1) as is the case here it means that there is a positive correlation.

Correlation however, does not mean causation which is why there is a strong positive correlation between Sodium and calories with a coefficient of 0.74, but its likely that this isn't causal.

Find out more on correlation coefficients at https://brainly.com/question/20533513.

#SPJ4

A building that is used for storage has the dimensions shown. What is the volume of the building?

Answers

The total volume of this building based on the volume of its two sections is 3808 cubic feet.

How to calculate the volume of the building?

In this case, it is necessary to calculate the volume of the base that has a rectangular prism shape and the volume of the top part that has a right triangular prism shape.

What is the volume of the base?length x widht x height28 x 8 x 14 = 3136 cubic feet

What is the volume of the top part?0.5 x base x height x length0.5 x 14 x 8 x 12 = 672 cubic feet

What is the total volume?3136 +  672 = 3808 cubic feet

Note: This question is incomplete because the image is missing; here is the missing section.

Learn more about volume in: https://brainly.com/question/1578538

#SPJ1

Which is the graph of y-3=-2/3(x+6)

Answers

Answer:

The first graph.

Please help with the 4/5 problems:) I completely forgot how to do this! *please show work on how you got your answer!**

Answers

Solve for Volume by Space. All physical objects occupy space, and you can find the volume for some of them by measuring their physical dimensions. ...
Solve for Volume by Density and Mass. Density is defined as an object's mass per a given unit of volume.

Which number is greatest?


CLEAR SUBMIT

290,095


209,509


290,905


209,950

Answers

290,905 is the greatest the third option

Answer:

290,905

Because the ten-thousands place is greatest, and the hundreds place is greater than option A, we can determine that option C is correct.

Due this is linear relationships and slope

Answers

Answer:

6x+4 C

Step-by-step explanation:

Because the y-axis is +4

Please help me. 15 points

Answers

Answer:

360 feet

ft = 120 • 3 = 360 feet

Answer:

Your choice of 360 is correct.

Step-by-step explanation:

3 feet = 1 yard

120 times 3 =

360

Please mark Brainliest

Joseph charges $20 an hour with a $5 flat fee for soccer lessons. Kellen charges $15
an hour with a flat fee of $10 for soccer lessons.
Which equation represents the situation when the cost is the same to be coached by
Joseph or Kellen, where his hours?
20h + 10 = 15h + 5
--
5h + 20 = 10h + 15
20h + 5 = 15h + 10
O5h + 15 = 10h + 20

Answers

Answer:

20h + 10 = 15h + 5

Step-by-step explanation:

Looking at the statements we see that Joseph charges 20h +5 and kellen 15h +10

John is weighing his jars of coins. his jar of pennies weighs 84.96 ounces, and his jar of nickels weighs 3.11 kilograms. there are 0.0283495 kilograms per ounce. which jar weighs more, and how many more pounds does it weigh? a. the jar of pennies weighs 8.41 pounds more than the jar of nickels. b. the jar of pennies weighs 0.089 pounds more than the jar of nickels. c. the jar of nickels weighs 2.06 pounds more than the jar of pennies. d. the jar of nickels weighs 1.55 pounds more than the jar of pennies.

Answers

The jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d

Calculating weight

From the question, we are to determine the jar that weighs more

From the given information

His jar of pennies weighs 84.96 ounces

and his jar of nickels weighs 3.11 kilograms

First, we will 84.96 ounces to kilogram

From the given conversion,

There are 0.0283495 kilograms per ounce

That is, 0.0283495 kg = 1 ounce

If 1 ounce = 0.0283495 kg

Then,

84.96 ounces = 84.96 × 0.0283495 kg

∴ 84.96 ounces = 2.4086 kg

His jar of pennies weighs 2.4086 kg

Since the John's jar of nickels weighs 3.11 kg, his jar of nickels weigh more.

3.11 kg - 2.4086 kg = 0.7014 kg

Convert 0.7014 kg to pounds

1kg =  2.20462 pounds

∴ 0.7014 kg = 0.7014 × 2.20462 pounds

0.7014kg ≅ 1.55 pounds

Hence, the jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d.

Learn more on Calculating weight here: https://brainly.com/question/11307613

#SPJ4

The box plots below represent the scores for games played by two high school basketball teams over the last 5 seasons.
Based on these plots, which statement regarding the means of the two data sets is is most likely true?

A The mean score per game is higher for South County High School because the distribution of South County High School's scores is not as skewed as the distribution of Central High School's scores.

B The mean score per game is about the same for both schools because their median scores are about the same.

C The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

D No conclusion can be drawn regarding the means because the box plots only show medians and quartiles.

Answers

The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

From the data given in the box plot, we can conclude that the mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

To know more about mean follow

https://brainly.com/question/968894

#SPJ1

Find the volume of the cylinder.
Either enter an exact answer in terms of 7 or use 3.14 for T.
6
units 3

Answers

Answer:

3.14×5(2)×6=471.24

Step-by-step explanation:

you have to take square of 5

Find the equation of the straight line passing through the point (3,5) which perpendicular y=3x +2 to the line​

Answers

The equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

To find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y = 3x + 2, we will first find the slope(m).

To find the slope m of the perpendicular equation;

y = 3x + 2 --------------(1)

comparing the equation above with the standard equation of a circle

y=mx + c

m=3

The slope of the perpendicular equation;

 = -1

3 = -1

Divide both-side of the equation by 3

= -1/3

so, the slope of our perpendicular equation is -1/3

Then, we go ahead to find our intercept

To find the intercept, we will plug in the points and the new slope into the formula y =mx + c

5 = -(3) + c

5 = -1 +c

Add one to both-side of the equation

5+1 = -1 + c + 1

6 =c

c=6

our intercept c is equal to 6

so we can now proceed to form our equation.

y = - x  +  6

Multiply through by 3

-3y = -x + 18

We can rearrange the equation, hence;

x -3y -18=0

Therefore the equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0

To know more about equations follow

https://brainly.com/question/2972832

#SPJ1

Tua wanted to teach his pet raven to count because they are very smart birds. He used various fruits and nuts to represent numbers. A peanut = 1 A grape = 2 peanuts 14 is represented by an acorn and 3 grapes. An acorn is worth half a plum. What is the value in fruits and nuts, of two plums and a peanut, divided by a grape and a peanut?

Answers

The value of two plums and a peanut, divided by a grape and a peanut is 11

How to solve the expression?

The given parameters are:

Peanut = 1Grape = 2 Acorn + 3 grapes = 14Acorn = 1/2 Plum

Substitute Grape = 2  in Acorn + 3 grapes = 14

Acorn + 3 *2  = 14

Acorn + 6  = 14

Subtract 6 from both sides

Acorn  = 8

Substitute Acorn  = 8 in Acorn = 1/2 Plum

8 = 1/2 Plum

Multiply both sides by 2

Plum = 16

So, we have:

Peanut = 1

Grape = 2

Acorn  = 8

Plum = 16

The value of two plums and a peanut, divided by a grape and a peanut is:

(2 plums + peanut)/(grape + peanut)

This gives

(2 * 16 + 1)/(2+ 1)

Evaluate

11

Hence, the value of two plums and a peanut, divided by a grape and a peanut is 11

Read more about expressions at:

https://brainly.com/question/723406


#SPJ1

graph this sin equation

Answers

Answer:

I graphed it on desmos:

what is the rate change of the table?

Answers

The rate of change is $27 per month if the change in y values is 54 and change in x values is 2.

What is the rate of change?

It is defined as the change in values of a dependent variable with respect to the independent variables.

From the data given in the table, we can find the rate of change per month:

To find the rate of change:

= change in y/ change in x

= (138-84)/(4-2)

= 54/2

= 27 per month

Thus, the rate of change is $27 per month if the change in y values is 54 and change in x values is 2.

Learn more about the rate of change here:

https://brainly.com/question/12786410

#SPJ1

help me please!!! i cant do these

Answers

Answer:

sec(B)=b. ab/bc

sin(B)=c. ac/ab

csc(B)=f. ab/ac

cot(B)=a. bc/ac

tan(B)=e. ac/bc

cos(B)=d. bc/ab

Step-by-step explanation:

SOHCAHTOA

Sine=Opposite/Hypotenuse

Cosine=Adjacent/Hypotenuse

Tangent=Opposite/Adjacent

SHACHOCotAO

Secant=Hypotenuse/Adjacent

Cosecant=Hypotenuse/Opposite

Cotangent=Adjacent/Opposite

Neglecting air​ resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16t^2 where is time in seconds. The height of a certain tower is 878 feet. How long would it take an object to fall to the ground from the top of the​ building?

Answers

Answer:

7.4 seconds

Step-by-step explanation:

878 = 16 t^2    divide both sides of the equation by 16

54.875 = t^2    take positive sq rt

7.4 seconds

Other Questions
Consider a triangle ABC like the one below. Suppose that A = 30, B = 125, and a = 38. (The figure is not drawn to scale.) Solve the triangle. Round your answers to the nearest tenth.If there is more than one solution, use the button labeled "or". Which aspect of a trend or event are you likely to emphasize in a well-written analytical research report? Which landscape feature can be caused by chemicalweathering?OU-shaped valleyO Basalt columnsO Limestone caves The ability of a research study or psychological instrument to consistently produce a given result is called _______________. How has the issue of social inequality affected people? (Try to make it 3-5 sentences) (will mark you) How has the Constitution provided for change in the United States?o It can be updated through the amendment process.It is a guiding document, but Congress can pass laws to overrule it.It can be rewritten by Supreme Court justices.It requires states to update their constitutions every 10 years. What are The seven Midwest states? Brainliest! HElpplease What did much of early Shang and Zhou dynasty religion revolve around?-belief in a well-defined afterlife.-extremely vengeful gods that would only be satisfied by human sacrifice.-ancestor veneration.-idea of a monotheistic deity. what is one of the main purposes of the u.s. constitution? Luke gets paid $13/hour. He got anadditional bonus of $50 for staying late oneday. He got paid $641.50 this month.Write an equation, define your variable andsolve. How many hours did he work? A runner ran a 400 m race in 1 min 35 sec. Calculate his average speed in m/sec. Write six complete sentences with the cues provided. Make any changes necessary.1. nous/dmissioner/avant que/ le patron/ nous renvoyer2. mon oncle/ prendre le bus / pour que / nous / avior la vioture PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I need help, please and thank you The dot plot shows the number of library books borrowed by a group of children. A dot plot whose number line is labeled Number of books borrowed. There is 1 dot above 0, 2 dots above 1, 4 dots above 2, 4 dots above 3, 6 dots above 4, 3 dots above 5, 5 dots above 6, 3 dots above 7, 1 dot above 8, and 1 dot above 9. Select from the drop-down menus to correctly complete the statement. The distribution of data is Choose... , with a mode of Choose... , and a range of The water usage at a car wash is modeled by the equation w(x) = 3x3 4x2 18x 4, where w is the amount of water in cubic feet and x is the number of hours the car wash is open. the owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. the amount of decrease in water used is modeled by d(x) = x3 2x2 15, where d is the amount of water in cubic feet and x is time in hours. write a function, c(x), to model the water used by the car wash on a shorter day. c(x) = 2x3 2x2 18x 11 c(x) = 3x3 2x2 18x 11 c(x) = 3x3 2x2 18x 11 c(x) = 2x3 2x2 18x 11 Local governments in the united states use ________ to regulate land uses in specific areas to prevent any interference with existing uses by residents or businesses, as well as encourage the preservation of a community's sense of identity. a. mapping b. policing c. branding d. zoning e. lining To rationalize a denominator that has more than one term, you multiply thefraction by B+ B, where B is the conjugate of the denominator. why does zeus decide to let percy live