You must select a team from a group of 6 boys and 10 girls. How many ways can you select 2 boys and 5 girls?

Answers

Answer 1

Using the combination formula, it is found that you can select 2 boys and 5 girls in 2,520 ways.

In this problem, Joao and Elisa would be the same team as Elisa and Joao, hence the order is not important and the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

2 boys are selected from a set of 6.5 girls are selected from a set of 10.

Hence:

[tex]T = C_{5,2}C_{10,5} = \frac{5!}{3!2!} \times \frac{10!}{5!5!} = 2520[/tex]

You can select 2 boys and 5 girls in 2,520 ways.

More can be learned about the combination formula at https://brainly.com/question/25821700

#SPJ1


Related Questions

Pls help me in this khan academy exercise

Answers

Answer:

x= 180° - (103°+33°)

x= 180° - 136°

x= 44°

The cost of gas increases monthly at a rate of 3.2%. If gas cost $1.75 today. How much will it cost in 3 years? ( round to the nearest cent (2 decimal places) )

Answers

Answer:

$1.92

Step-by-step explanation:

present cost = $1.75

time = 3 years

rate = 3.2%

cost after three years = present cost (1 +[tex]\frac{R}{100}[/tex] )^3

=$1.75 ([tex]\frac{103.2}{100}[/tex])^3

=$1.75*1.099

=$1.92

Threrefore , after 3 years cost of gas will be $1.92.

Find the area of the shaded region

Answers

Answer:

Area of square - area of circle

Step-by-step explanation:

f(x) = 2x + 3 and g(x) = 24 – X.

Solve the equation f(x) = g(14).

Answers

Answer:

x = 3.5

Step-by-step explanation:

f(x) = 2x + 3

g(x) = 24 – x

-> g(14) = 24 - 14

-> g(14) = 10

f(x) = g(14) (Given)

-> 2x + 3 = 10

-> 2x = 10 - 3

-> 2x = 7

-> x = 7/2

-> x = 3.5

Which expression shows 48 + 36 written as a product of two factors

Answers

Answer:

12(4+3)

Step-by-step explanation:

NEED THIS ASAP
Which statement describes (²) ?
n=1
The series diverges because it has a sum of 1.
O The series converges because it has a sum of 1.
O The series converges because it has a sum of 4.
The series diverges because it does not have a sum.

Answers

Answer:

option b

please mark me as brainliest

Answer: the series converges because it has a sum of 1 (b)

Step-by-step explanation:

bec i said so

a food server at harpers restaurant earns 5 dollars plus a 15% tip on the money made on each table he serves. Sam worked as a food server for six hours last friday and his tables earned $600. How much money did Sam make that day?

Answers

Answer:

The answer is given in the picture

Step-by-step explanation:

Do you remember me calista

I am alvena

Answer:

$70

Step-by-step explanation:

$5 x 6 hours = $30

$600 ÷ 15% = $40

$30 + $40 = $70

PLEASE HELP!!!!!
Abigail is studying for the school spelling bee. She already knows 204 words from the vocabulary list. Each day, she learns
24 additional words from the vocabulary list.
Which equation can be used to determine the total
number of words Abigail knows from the vocabulary list, y, over x days?
• A. y=24-204
•b y=24+204
• y=24(x+204)

Answers

Answer:

I think that it is y=24(x+204)

y= x24 + 204
okay so x is the number of days and you would multiply that by 24 because that’s how many words she learns each day and you would add 204 because that’s how many words she already knows. hope this helps

Two consecutive numbers have a sum of 107. What is the larger of the two numbers?

Answers

Answer:

54

Step-by-step explanation:

54 + 53 = 107

54

[tex] \: \: \: \: \: \: \: \: \: \: \: \bold{54 + 53 = 107}[/tex]

Note : To solve a problem like this, all we have to do is find a number that matches the result, in this case it is [tex]\bold{54}[/tex] and [tex]\bold{53}[/tex]

[tex]\therefore[/tex] it gives us a result of [tex]\bold{107.}[/tex]

3 Select the correct answer. How can you write the expression 7(b – 2) in words? A. two subtracted from the quotient of seven divided by b B. seven added to difference of b minus two C. the quotient of seven divided by b minus two D. two subtracted from seven times b E. the product of seven and the difference of b minus two

Answers

Answer:

option E is correct.

Step-by-step explanation:

from the options, the correct answer is:

the product of seven and the difference of b minus two.

HOPE THIS HELPSPLEASE RATE AND MARK BRIANLIEST!!!

The ceiling of Stacy's living room is a square that is 22 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 22 ft, but she doesn't know how long it is.

Solve for the length of the diagonal of Stacy's ceiling in two ways:

(a) Using the Pythagorean Theorem.

(b) Using trigonometry.

Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)

Answers

Answer:

I don't understand trig very well but I do get pythagorean theorem, which I can help with. Your final answer will end up being 31.

Step-by-step explanation:

First off the formula for pythagorean theorem is a^2 + b^2 = c^2

We know that C stands for the hypotenuse so we want to know what C is.

A and B are both 22 so our equation turns into 22^2 + 22^2 = c^2

22 squared is 484 which leads to 484 + 484 = c^2

484 + 484 = 968

968 is our C^2 but we still need to find the square root

The square root of 968 is 31.11269837... and a whole lot of other numbers

You round that out to 31 and get the length of your diagonal

Which graph represents the function f(x) = 1/3|x|?​

Answers

Answer:

The answer is D.

Step-by-step explanation:

Find the area of the figure.

(50 POINTS On Last post)

Answers

Answer:

173,056,00

Step-by-step explanation:

Skylar wanted to show the proportional relationship between the dollar value of the original investment, x, and its value after a 10% decrease, y. He creates the table of values shown. Does it model the relationship? Explain. Then, provide a correct equation for the relationship Skylar wants to model.

Answers

After checking the information of the table, it is to notice that the table fulfills the behavior of a direct relationship described by the linear equation y = 0.9 · x. #SPJ1

How to analyze a relationship between the two variables

Let be x and y the original investment and the value after applying the change, both in monetary units. A direct relationship is observed by following this model:

y = (1 + r/100) · x     (1)

Where r is change rate, in percentual units.

After checking the information of the table, it is to notice that the table fulfills the behavior of a direct relationship described by the linear equation y = 0.9 · x. #SPJ1

Remark

The table of the change in investment with respect to initial investment is missing and is now introduced below:

(x₁, y₁) = (75, 7.5), (x₂, y₂) = (100, 10), (x₃, y₃) = (200, 20), (x₄, y₄) = (300, 30), (x₅, y₅) = (400, 40)

To learn more on direct relationships, we kindly invite to check this: https://brainly.com/question/14293770 #SPJ1

I don't know the answer ccuh

Answers

Answer:

  minor arc

Step-by-step explanation:

This is a vocabulary question:

major arc: has a measure more than 180°minor arc: has a measure less than 180°semicircle: has a measure of exactly 180° (connects the ends of a diameter)

__

Arc EA is a minor arc.

_____

Additional comment

In general, unless the two named points are the ends of a diameter, the arc is a minor arc. A major arc will generally be defined by designating a third point on the long arc connecting the same points on the circumference. For example, EDA, ECA, and EBA all designate the major arc connecting points E and A. (We can also use the descriptor, "major arc EA.") Without any of these extras designating the major arc, EA is considered to be the minor arc.

Question 13
You deposit $8,400 in an account earning 3.6% interest compounded monthly.
a. How much will you have in the account in 20 years?
b. How much interest will you earn?

Answers

Answer:

A = $17,238.65

I (interest) = $8,838.65

Step-by-step explanation:

Using the formula A = P(1 + r/n)^nt

A = $17,238.65

A = P + I where

P (principal) = $8,400.00

I (interest) = $8,838.65

First, convert R as a percent to r as a decimal

r = R/100

r = 3.6/100

r = 0.036 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 8,400.00(1 + 0.036/12)^(12)(20)

A = 8,400.00(1 + 0.003)^(240)

A = $17,238.65

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $8,400.00 at a rate of 3.6% per year compounded 12 times per year over 20 years is $17,238.65

ALEKS Knowlege Check:

Evaluate the expressions. ​

Answers

Answer:

1, -1

Step-by-step explanation:

(-2/3)⁰

Anything that is raised to the power of 0 automatically becomes the value 1. Knowing this, apply the exponent.

(-2/3)⁰ = 1

-(7)⁰

Now using what we know, apply the exponent to the 7.

-(7)⁰ = -1

Notice that the negative is NOT inside the parenthesis and therefore does NOT get affected by the power.


Please use cofunction or even odd identities to solve this problem!

50 points !

Answers

Answer:

  cot(θ) = -1.45

Step-by-step explanation:

The identity applicable to this problem is ...

  tan(π/2 -θ) = cot(θ)

__

Substituting for tan(π/2 -θ), you have the desired cotangent value:

  cot(θ) = -1.45

NO LINKS!!

Determine if each statement is always, sometimes, or never true​

Answers

Answer:

sometimessometimesalways

Step-by-step explanation:

These questions can be answered by reference to the formulas for the volume of a cone, cylinder, and sphere.

__

Cone

  V = 1/3πr²h . . . volume depends on height as well as radius

Cones with the same radius will sometimes have the same volume. (When they have the same height.)

__

Cylinder

  V = πr²h . . . volume depends on height as well as radius

Cylinders with the same radius will sometimes have the same volume. (When they have the same height.)

__

Sphere

  V = 4/3πr³ . . . volume depends only on radius

Spheres with the same radius will always have the same volume.

SometimesSometimesAlways

Lets note the formulas first to make clear.

For cone

V=1/3πr²h

For cylinder

V=πr²h

For sphere

V=4/3πr³

We can see

for first two

the volume depends upon the height hence if they have same radius then their volume may or may not be same

For sphere

volume depends upon radius so if radius is same the volume is same

Using the recurrence relation s(1) = 2 and s(2)=3, s(k) =s(k-1)+2s(k-2)+6, find the fourth term

Answers

Recurrence functions are used to preedict the subsequent value in a sequence. The fourth term of the sequence based on the recurrence relation is 25

How to find the recurrence relation of a function?

Given the recurrence relations according to the question

s(1) = 2 and

s(2)=3

s(k) =s(k-1)+2s(k-2)+6

If s(1) = 2, hence;

s(3) =s(3-1)+2s(3-2)+6

s(3) = s2 + 2s1 + 6
s(3) = 3 + 2(2) + 6
s(3) = 13

Determine the fourth term:

s(4) =s(4-1)+2s(4-2)+6

s(4) = s3 + 2s2 + 6
s(4) = 13 + 2(3) + 6
s(4) = 25

Hence the fourth term of the sequence based on the recurrence relation is 25

Learn more on recurrence relation here: https://brainly.com/question/10636530

The radius of a circle is 7 m. Find its circumference in terms of \piπ

Answers

Answer:

I think its 43.98 or 44 I think its one of those

Step-by-step explanation:

C=2πr=2·π·7≈43.9823

=2π(7)=2⋅722⋅7=2⋅22=44 cm.

5 aplicaciones de notación científica en la vida cotidiana

Answers

Answer:

In scientific notation:

The first number in the mathematical equation is called the "coefficient." The coefficient must be greater than or equal to one and less than 10. For example to create the scientific notation for the number 256, the coefficient would be 2.56.

The second number in the equation is a power of 10, written as 10 with an exponent, like 102 which stands for 10 x 10.

Combining these two numbers would create this scientific notation equation for 256 - 2.56 x 102.

A negative exponent shows the decimal is moved that many places to the left and a positive exponent shows the decimal is moved that many places to the right.

Scientific Notation Examples

Here are examples of scientific notation:

1 = 100

10 = 1 x 10¹

100 = 1 x 10²

1000 = 1 x 10³

10000 = 1 x 104

100000 = 1 x 105

42,000,000 = 4.2 x 107

676,000,000,000 = 6.76 x 1011

0.1 = 1 x 10-1

0.01 = 1 x 10-2

0.001 = 1 x 10-3

0.0001 = 1 x 10-4

0.00001 = 1 x 10-5

0.00000078 = 7.8 x 10-7

0.000000000000000 = 3.56 x 10-13

Real Life Examples of Scientific Notation

Explore how scientific notation is used to express large numbers.

7 x 109 = Population of the world is around 7 billion written out as 7,000,000,000

1.08 x 109 = Approximate speed of light is 1080 million km per hour or 1,080,000,000 km per hour

2.4 x 105 = Distance from the Earth to the moon is 240 thousand miles or 240,000 miles

9.3 x 107 = Distance from the Earth to the sun is 93 million miles or 93,000,000 miles

3.99 x 1013 = Distance from the sun to the nearest star (Proxima Centauri) is 39,900,000,000,000 km

9.4605284 × 1015 = Distance light travels in a year is less than 9.5 trillion kilometers, or exactly 9,460,528,400,000,000 km

1.4 x 108 = Amount of water surface area on the Earth is 140 million square miles or 140,000,000 square miles

1.0 x 1014 = Approximate number of cells in the human body is 100 trillion or 100,000,000,000,000

1.332 x 10-3 = Density of oxygen is 1332 millionths g per cc or .001332 g per cc

2.4 x 10-3 = Diameter of a grain of sand is 24 ten-thousandths inch or .0024 inch

7.53 x 10-10 = Mass of a dust particle is 0.000000000753 kg

9.1093822 × 10-31 = Mass of an electron is 0.00000000000000000000000000000091093822 kg

4.0 x 10-7 = Length of the shortest wavelength of visible light (violet) is 0.0000004 meter

Nine of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 are to be put in two groups so that the sum of the numbers in each group is a multiple of four.

What is the largest number that could be left out?

Answers

Answer:

13,62,75,48,1092

Step-by-step explanation:

1+3=4, 6+2=8, 7+5=12, 4+8=12& 1+0+9+2=12.

A triangle has an angle that measures 44.3 and another that measures 52.4" What is the measure of the third angle​

Answers

83.3, because all the angles have to add up to 180
180-44.3-52.4= 83.3

The measure of the third angle, if the other angles measure 44.3 and 52.4, is 83. 3 degrees.

How to determine the angle?

To determine the angle, we need to know the following;

The sum of the interior angles of a triangle is 180 degreesAlternating angles are equalCorresponding angles are equalSupplementary angles sum up to 180 degreesComplementary angles sum up to 90 degrees

Then, from the information given, we have that;

A triangle has an angle that measures 44.3 and another that measures 52.4"

Then, we get; x + 52.4 + 44.3 = 180

collect the like terms'

x = 180 - 96.7

x = 83. 3 degrees

Learn about angles at: https://brainly.com/question/25716982

#SPJ2

You pick a card at random.
1 2 3 4
567
What is P(not even)?
Write your answer as a fraction or whole number.

Answers

Answer:

p7

Step-by-step explanation:

If it includes 4 then 0.8, if not then 0.6.

!!!!PLEASE HELP HAS TO BE DONE TODAY!!!!

What is the LCD of
45
015
03
05
8
15
-
ن
and 2/3/?

Answers

The answer would be B: 15.

Find the distance between the points (7,14) and (18,5).

Answers

Answer:

Exact distance = [tex]\sqrt{202}[/tex]

Approximate distance = 14.2127

==========================================================

Work Shown:

[tex](x_1,y_1) = (7,14) \text{ and } (x_2, y_2) = (18,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(7-18)^2 + (14-5)^2}\\\\d = \sqrt{(-11)^2 + (9)^2}\\\\d = \sqrt{121 + 81}\\\\d = \sqrt{202}\\\\d \approx 14.2127\\\\[/tex]

Note: I used the distance formula. Though you could plot the points, form a right triangle, and use the pythagorean theorem as an alternative route. The distance formula is effectively a modified version of the pythagorean theorem.

You need a 55% alcohol solution. On hand, you have a 50 mL of a 25% alcohol mixture. You also have 60% alcohol mixture. How much of the 60% mixture will you need to add to obtain the desired solution?

Answers

Answer:

  300 mL

Step-by-step explanation:

There is a simple diagrammatic way to solve mixture problems, illustrated in the attachment. In the left column are the available solution percentages. In the center is the percentage of the desired mix. In the column to the right of that are the diagonal differences between the desired value and the constituent values. Those differences represent the proportions of the constituents on the same horizontal line.

__

Here, that means 30 parts of 60% solution are needed for 5 parts of 25% solution. Since we have 50 mL of 25% solution, we can multiply these ratio values by 10 mL to find the quantities needed. That has been done here in the right-most column.

300 mL of 60% solution are needed to obtain the desired mixture.

__

Additional comment

If you want to write an equation, you can let x represent the quantity of high-concentration solution needed. Then the amount of alcohol in the mix is ...

  0.60x +0.25(50) = 0.55(x +50)

  0.05x = 0.30(50) . . . . . . . subtract 0.55x+0.25(50)

  x = 300 . . . . . . . . . . . . mL of 60% solution needed

help me pwesssssssssss

Answers

Answer:

858 Remainder 4

Step-by-step explanation:

Determine the equation for a circle in standard form with a radius of 18, and center (18,-18).

Answers

Answer:

(x-18)²+(y+18)²=18².

Step-by-step explanation:

1) the formula is: (x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates of the centre, r - the length of the radius;

2) according to the formula above:

(x-18)²+(y+18)²=18².

Other Questions
Sally's soccer team played 25games this season and lost 9 ofthose games. What percent of thegames did the team win? Which two features in the photo are effectively reducing the urban heat island effect in this metropolitan area? Persuasive technique that appeals to reputation or expertise Marsupials are found in north america and australia, but they would not have been able to swim across the ocean. according to scientists, how did this group of organisms come to live on two separate continents? marsupials used to have adaptations that allowed them to swim but lost these adaptations over time. the two groups of marsupials evolved independently of one another on two separate continents. the continents were once connected, and marsupials were able to migrate over the land. the oceans were shallow in prehistoric times, which allowed the marsupials to travel from one continent to another. The tank of a car holds 10 gallons of gas.How many liters does the tank hold? Round to the nearest tenth. Europeans turned to Africa as a source of enslaved persons because there weren't enough criminals and captives to do the work. groups of American Indians were exploited and decimated.only Africans were capable ofcapable of doing the backbreaking work. only Africa could provide the number of workers needed. Question 1 of 10Why might a writer want a line to sound heavy or hard to pronounce?O A. To make sure the reader will not be interruptedO B. To make the line seem pleasant or comfortingO C. To emphasize certain types of emotions or actionsO D. To allow the reader to move through the line smoothlySUBMIT Math question please help me with this Could anyone help me with this? im not sure how to answer it Instructions: Identify with which of the verbs form verbal periphrases:Select one:a. there were, we have, you haveb. power, want, enter A can of beans that has mass M is launched by a spring-powered device from level ground. The can is launched at an angle of 0 above the horizontal and is in the air for time T before it returns to the ground. Air resistance can be neglected.A. How much work was done on the can by the launching device?Express your answer in terms of some or all of the variables M , T , 0 and acceleration due to gravity g .WA =B. How much work is done on the can if it is launched at the same angle but stays in the air twice as long?Express your answer in terms of some or all of the variables M , T , 0 and acceleration due to gravity g .WB =C. How does your result in part B compare to the answer to part A?Express your answer to two significant figures.WB/WA = The Staff family pays a rate of 31 mills in property tax.The assessed value of thehome is $48,000. What is their property tax? In the ________ stage of the product life cycle, most consumers who would buy the product are either repeat purchaser of the item or have tried and abandoned it, making it more challenging to acquire new customers. please solve for x 3x + 22 How can changing the temperature of water negatively affect the environment?A The water can dissolve rocks fasterB Fish and aquatic animals are sensitive to temperature changesC Warmer water tends to have more pollutants in itD Warmer water attracts more people and in turn that causes more pollution 275to a mixed numberadecimal. Anna gave the clerk two 10-dollar bills. She received $4.51 in change. Anna said the clerk was incorrect and should have given her $14.51. Who is correct? Explain your answer and include an equation or example using money to support your answer. Can you please help me really quick I need help with this How would you create a loop that never ends? aUse the "repeat" block bUse the "infinite" block cUse the "repeat until" block dUse the "forever" block Please help right answer gets branliest