Ther are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations of players are possible

Answers

Answer 1

Answer:

[tex]13C10 =286[/tex]

Step-by-step explanation:

To solve this problem we must use the formula of combinations.

[tex]nCr =\frac{n!}{r!(n-r)!}[/tex]

Where n is the number of players that there are and elect r of them

In this case there are [tex]7 + 6 = 13[/tex] players and you choose 10 of them

Then we look for  13C10

[tex]13C10 =\frac{13!}{10!(13-10)!}[/tex]

[tex]13C10 =\frac{13!}{10!*3!}[/tex]

[tex]13C10 =286[/tex]

There are 286 possible combinations


Related Questions

The sixth grade students are having an activity day at the end of the school year. There are a total number of 232 students in the grade level.
Write and solve an equation to determine S, The number of students that will be on team #4

Answers

If this helps please considering giving me brainliest as it helps me a lot.

232-(59+57+58) = S

232-174 = S

S = 58

Hope this helps!

Write an equation of the graph:
y = |x| translated half a unit upward

Answers

Answer: y = I x l + 1/2

Step-by-step explanation:

The answer is y= IxI+1 bc you moved it up by 1 so that makes it plus 1  

The volume of the cylinder with a hight of 1.5 cm and the diameter of 2 cm.

Answers

Answer:

4.71 ish centimeters

Step-by-step explanation:

The equation for a cylinder is [tex]\pi r^{2} h[/tex] , where h is the height and r is the radius. So plugging in the numbers you have Pi * (1)^2 *1.5.

4.71 centimeters is the answer

What is the exact value for the expression the square root of 56. − the square root of 14. + the square root of 126.? Simplify if possible. the square root of 14. 4 the square root of 14. 2 the square root of 42. 8 the square root of 42.

Answers

[tex]\bf \sqrt{56}-\sqrt{14}+\sqrt{126}~~ \begin{cases} 56=&2\cdot 2\cdot 2\cdot 7\\ &2^2\cdot 14\\ 126=&2\cdot 3\cdot 3\cdot 7\\ &2\cdot 3^2\cdot 7\\ &3^2\cdot 14 \end{cases}\implies \sqrt{2^2\cdot 14}-\sqrt{14}+\sqrt{3^2\cdot 14} \\\\\\ \stackrel{\textit{let's add the like-terms}}{2\sqrt{14}-\sqrt{14}+3\sqrt{14}}\implies 4\sqrt{14}[/tex]

Answer:

Step-by-step explanation:

sqrt(56) = sqrt(4*14) = 2*sqrt(14)

sqrt(126)= sqrt(9*14) = 3*sqrt(14)

2*sqrt(14) - sqrt(14) + 3*sqrt(14)

5sqrt(14) - sqrt(14)

4*sqrt(14)

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

The second one is not clear enough.

what is the solution to every system of equation​

Answers

By graphing is the solution to every equation

The graph below represent a trip taken by bicycle. Use the graph to answer questions


11. During the trip the cyclist stops for a time. During which labeled section-A, B, C, or D- did he stop? ________

12. During which labeled section was he traveling the slowest? _______

13. During which labeled section was he traveling the fastest? ______

14 Calculate the speed of the cyclist during section D _______

15. How far away was the cyclist when he turned around and headed home? _______

Answers

I'm pretty sure that the answer to this question is B

What’s three-dimensions figure can be made from their net

Answers

A "Geometry Net" is a flattened out three dimensional solid (a three dimensional shape) -- like a cube, a prism or a pyramid.

Trigonometry how to do this

Answers

I’m not sure either, but lets keep in touch because I do Acellus too, and Trigonometry. Give me a thanks so we can message

Final answer:

Trigonometry involves the study of angles and sides of triangles, where sine, cosine, and tangent are fundamental ratios used to solve problems. The Law of Sines and the Law of Cosines help calculate unknown lengths and angles in various types of triangles.

Explanation:

Trigonometry is the branch of mathematics that deals with the relationships between the sides and angles of triangles, particularly right-angled triangles. Key concepts such as trigonometric ratios including sine, cosine, and tangent are fundamental in solving problems in trigonometry. When provided with a diagram like Figure 4.17 or Figure 5.27, one can determine the magnitudes of various components by applying these trigonometric principles.

For instance, if we know the angle and a side length adjacent to it, we can find the lengths of the unknown sides using functions such as cosine for the adjacent side or sine for the opposite side relative to the given angle. The Law of Sines and the Law of Cosines are also substantial tools in trigonometry, allowing us to calculate unknown lengths and angles in non-right triangles. Practicing these calculations with a calculator, as mentioned, helps familiarize oneself with the trigonometric functions and their inverses.

what is the slope of a line that is perpendicular to the line that contains points (5,4) and (-7,9). explain please

Answers

Answer:

[tex]\frac{12}{5}[/tex]

Step-by-step explanation:

First find the slope of the line containing points (5,4) and (-7,9).  To find the slope use the formula [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex].  Putting those values in, you have

[tex]\frac{9-4}{-7-5}[/tex]

Simplify

[tex]\frac{5}{-12}[/tex]

[tex]-\frac{5}{12}[/tex]

Then, to find the slope of the line perpendicular to that, find the negative reciprocal.  

[tex]\frac{12}{5}[/tex]

how do you factor a polynomial by its greatest common monomial factor of 25y^2-35y ​

Answers

Answer: 5y(5y-7)

Step-by-step explanation: 25y^2 - 35 y

factor out 5y

5y(5y-7)

Answer:

[tex]\large\boxed{25y^2-35y=5y(5y-7)}[/tex]

Step-by-step explanation:

[tex]25y^2=(5y)(5y)\\\\35y=(5y)(7)\\\\25y^2-35y=(5y)(5y)-(5y)(7)=(5y)(5y-7)[/tex]

Worth 30 points!
please help

Answers

Answer:

y,n,y,y

Step-by-step explanation:

1*15=15

2*15=30

3*15=45

Answer:

(1,15) = yes

(1,30) = no

(2,30) = yes

(3,45) = yes

Step-by-step explanation:

The points on the graph:

(0,0)

(1,15)

(2,30)

(3,45)

(4,60)

(5,75)

(6,90)

(7,105)

(8,120)

(9,135)

(10,150)

(Hope you understand!)

Select all the statements that are correct rational approximation of irrational numbers?

Answers

The answers would most likely be A,C,and B from my calculations

Which modified plot represents the data set?

10, 12, 2, 4, 24, 2, 7, 7, 9

P.S: Not actually asking just for those with the same question.

Answers

Box A is the plot that represents the data set hope this helps:)

.
Write in vertex form y=2x^2+8x+10

Answers

Answer:

(-2,2)

hope this helps!!!

norton22aa

Step-by-step explanation:

Answer:

[tex]y=2(x+2) ^ 2 + 2.[/tex]

Step-by-step explanation:

For a quadratic equation written in the general form [tex]y=ax ^ 2 + bx + c[/tex],

the x coordinate of its vertex is:

[tex]x = -\frac{b}{2a} = h[/tex]

Then this equation written in the form of vertex is:

[tex]y=a(x-h) ^ 2 + k.[/tex]

Where the point (h, k) is the vertex of the parabola.

In this case we have the equation

[tex]y=2x^2+8x+10[/tex]

Then the x coordinate of its vertex is:

[tex]x=-\frac{8}{2(2)}\\\\x= -2[/tex]

Therefore the y coordinate of its vertex is:

[tex]f(-2) = 2(-2)^2+8(-2)+10\\\\f(-2) = 2[/tex]

The vertice is (-2, 2)

Then

[tex]h=-2\\\\k = 2[/tex].

This equation written in the form of vertex is

[tex]y=2(x+2) ^ 2 + 2.[/tex]

What is the value of the lower quartile?




0

8

6

2

Answers

the value of the lower quartile is 2 because that’s where the box ends

what is the domain of f(x)=5^x?

Answers

Answer:

[tex]x\in(-\infty,\infty)[/tex]

Step-by-step explanation:

The given function is [tex]f(x)=5^x[/tex]

Domain is the set of x values for which the function is defined.

The function  [tex]f(x)=5^x[/tex] is an exponential function and for any real values of x, the function f(x) will be defined.

Therefore, we can conclude that the domain of the function is all real numbers.

In interval notation, the domain of f(x) is

[tex]x\in(-\infty,\infty)[/tex]

Final answer:

The domain of the function f(x) = 5^x is all real numbers.

Explanation:

The domain of the function f(x) = 5x is all real numbers. In exponential functions like this one, the domain is always the set of all real numbers. This means that there are no restrictions on the values that x can take. For example, you can plug in any real number into the function, such as 0, 1, -2, or 3.5, and the function will still output a valid value.

Learn more about Domain of exponential functions here:

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kelly just brought a new pair of shoes! she received a 30% discount, which saved $15 off of the original price. what was the original price of the pair of shoes

Answers

Set up an equation:

x * .30 = 15

Divide both sides by .30 in order to determine the value of x

x = 15/.30

x = 115.38

So, the original price of the pair of shoes is $115.38

what is the solution to this equation -13x =25

Answers

Answer:

-1 12⁄13

Step-by-step explanation:

-13x = 25 [Divide by -13]

x = -1 12⁄13

13 is your divisor, which will be your denominator, and the numerator is your remainder. Since 13 goes into 25 ONCE, 1 gets multiplied by 13 to get 13, then deduct that from 25 to get your remainder of 12. This is where you start putting the pieces together as a mixed number. Then attach the negative because whenever you divide a positive by a negative, you get a negative:

-25⁄13 = -1 12⁄13

I am joyous to assist you anytime.

Measure the length to the nearest half inch

Answers

Maybe you should try using a ruler cause I can’t tell if it is combined the two above it or what to do

Help help help help find volume

Answers

Answer:

20 mm^3

Step-by-step explanation:

Formula

V = 1/3 B * h

Givens

B = 15 mm^2

h = 4 mm

Solution

V = 1/3 * 15 * 4

V = 20 mm^3

A gold coin appreciated in value from $200.00 to $475.00 in 6 years. Find the yearly rate of appreciation. Show or explain all work.

Answers

Answer:

16%

Step-by-step explanation:

To solve this we are using the standard growth equation:

[tex]y=a(1+b)^x[/tex]

Were

[tex]y[/tex] is the final value after [tex]x[/tex] years

[tex]a[/tex] is the initial value

[tex]b[/tex] is the growth factor (yearly rate of appreciation in our case) in decimal form

[tex]x[/tex] is the time in years

We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so [tex]y=475[/tex], [tex]a=200[/tex], and [tex]x=6[/tex].

Let's replace the values in our equation and solve for [tex]b[/tex]:

[tex]y=a(1+b)^x[/tex]

[tex]475=200(1+b)^6[/tex]

[tex]\frac{475}{200} =(1+b)^6[/tex]

[tex]2.375=(1+b)^6[/tex]

[tex]\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}[/tex]

[tex]1+b=\sqrt[6]{2.375}[/tex]

[tex]b=\sqrt[6]{2.375}-1[/tex]

[tex]b=0.155[/tex]

which rounds to

[tex]b=0.16[/tex]

Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:

0.16*100% = 16%

We can conclude that the yearly appreciation rate of our gold coin is approximately 16%

Maximum number of possible solutions x^2+4y^2=64 x+y=5

Answers

Answer:

2

Step-by-step explanation:

We don't need to "solve" this to figure out the answer.

We need to recognize that the first equation given is that of an ellipse and the second equation given is that of a line.

A line and an ellipse in a coordinate system can have these outcomes:

1. They can intersect (touch) at 1 point

2. They can intersect at 2 points

3. Can't intersect at all

Thinking will make sense. So, the maximum number of possible solutions is 2.

Note: The number of points of intersection are the solutions as well

What is 23.014 written in expanded form?
A (2 x 100) + (3 x 10) + (0 x 10)+(1 x 100) + (4 x 7,000)
B (2 x 10) + (3 * 1) + (0 x 1b) + (1 100) +(4x 1,000)
C (2 x 10) + (3 * 1) + (0 x 1,000) + (1x 100 +(4 x to
D (2 x 10) + (3 x 1) + (0 x 1\1) + (1 x 1) + (4 x 100)



Please help​

Answers

b(2 ×10)+(3*1)+(0×1b)+(1×100)+(4×1000)

Final answer:

The number 23.014 in expanded form is (2 x 10) + (3 x 1) + (0 x 0.1) + (1 x 0.01) + (4 x 0.001), illustrating the value of each digit according to its place value.

Explanation:

Writing the number 23.014 in expanded form means expressing each digit according to its place value. Expanded form represents a number by showing the value of each digit. For the decimal number 23.014, we look at the place value of each digit: the digit in the tens place, the ones place, the tenths place (one place after the decimal), the hundredths place (two places after the decimal), and so on.

The correct expanded form for 23.014 is:
<(2 x 10) + (3 x 1) + (0 x 0.1) + (1 x 0.01) + (4 x 0.001)

This means:

The '2' is in the tens place, so it represents 2 x 10, or 20.

The '3' is in the ones place, so it represents 3 x 1, or 3.

The '0' is in the tenths place, but since it's 0, it adds no value (0 x 0.1 = 0).

The '1' is in the hundredths place, so it represents 1 x 0.01, or 0.01.

Finally, the '4' is in the thousandths place, so it represents 4 x 0.001, or 0.004.

Therefore, 23.014 written in expanded form is (2 x 10) + (3 x 1) + (0 x 0.1) + (1 x 0.01) + (4 x 0.001).

Stefan sells Jin a bicycle for ​$173 and a helmet for ​$19. The total cost for Jin is 160​% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

a) $ 120

b) $ 53

Step-by-step explanation:

Cost of Bicycle paid by Jin = $173

Cost of Helmet = $ 19

Total amount paid by Jin = $173 + $19 = $192

This amount is 160% of what Stefan originally spent. Let the amount he originally spent was n, so we can write:

192 = 160% of n

192 = 1.6n

n = [tex]\frac{192}{1.6} = 120[/tex]

Thus, Stefan originally spent $120 for buying the bicycle and the helmet.

Profit which he made from this sale = $ 173 - $ 120 = $53

So he made $53 by selling Jin a bicycle and a helmet

Final answer:

To find the original cost Stefan spent, we calculate 160% of the original cost equal to the total selling price of $192. Divide $192 by 1.60 to find the original cost. Subtract this cost from $192 to find Stefan's profit.

Explanation:

The student's question pertains to calculating the original cost and the profit made from a sale. To solve this, we can set up an equation where 160% of the original cost (which we will call 'x') is equal to the total selling price of the bike and helmet, which is $173 for the bicycle and $19 for the helmet, adding up to $192.

This equation can be represented as 1.60x = $192. To find the original cost (x), divide the total cost by 1.60: x = $192 / 1.60. Calculating this gives us the original cost that Stefan spent.

To find the profit, we subtract the original cost from the total selling price. If x represents the original cost, then the profit is $192 - x. The step-by-step explanation helps the student understand how to set up and solve equations involving percentages, a key concept in mathematics related to business and personal finance.

4x-2y=4 6x-4y=6
Solve the systems of equations algebraically

Answers

Isolate “y” in one of the equations, then substitute it in the other equation. After you find x, put it in the isolated equation and you’ll find y value.

The value of x = 1 and y = 0.

How to solve the systems of equations algebraically?

Consider the given system of equation

4x - 2y = 4  ........(1)

6x - 4y = 6 ........(2)

Solve the system algebraically,

By using the elimination method,

Multiply equation (1) by 2, and we get,

(1) ⇒ 8x - 4y = 8 ............(3)

Subtract equation (2) from (3), we get,

8x - 4y - (6x - 4y) = 8 - 6

Simplifying the above equation, we get

8x - 4y - 6x + 4y = 2

8x - 6x = 2

x = 1

Substitute x = 1 in (1) and solve for y, we get,

⇒ 4x - 2y = 4

⇒ 4 (1) - 2y = 4

⇒ 2y = 4 - 4

⇒ 2y = 0

y = 0

Therefore, the value of x = 1 and y = 0.

To learn more about algebraic expression

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In geometry, the word draw means the same as the word

Answers

Answer:

Construct

Step-by-step explanation:

"Construction" in Geometry means to draw shapes, angles or lines accurately. These constructions use only compass, straightedge (i.e. ruler) and a pencil.

PLS HELP I GIVE BRAINLIEST

Answers

Answer:

MN

Step-by-step explanation:

If ΔLMN ≅ ΔXYZ, then corresponding angles and corresponding segments are congruent:

∠L ≅ ∠X

∠M ≅ ∠Y

∠N ≅ ∠Z

and

LM ≅ XY

MN ≅ YZ

LN ≅ XZ

Answer:

Line MN.

Step-by-step explanation:

As you can see, YZ is in fact the hypotenuse of the other triangle.

Using this information, YZ should be congruent to the other hypotenuse, which in this case is MN.

Therefore, YZ=MN.

if a sequence is defined recursively by (0)=3 and (n+1)=-f(n)+5 for n≥0, Then f(2) is equal to

Answers

Answer:

f(2) = 3

Step-by-step explanation:

We are given:

f(0) = 3

and

f(n+1) = -f(n) + 5

We have to find the value of f(2). In order to find f(2) we first have to find f(1)

f(n + 1) = - f(n) + 5

Using n = 0, we get:

f(0 + 1) = - f(0) + 5

f(1) = -f(0) + 5                                                     Using the value of f(0), we get

f(1) = -3 + 5 = 2

Now using n = 1 in the function, we get:

f(1 + 1) = - f(1) + 5                                               Using the value of f(1), we get

f(2) = -2+ 5

f(2) = 3

Thus the value of f(2) will be 3

8^(2x+3)+8^(2×+1)-8^2×=519*2^2010
x=?

Answers

Answer:

x=335

Step-by-step explanation:

The given expression is

[tex]8^{2x+3}+8^{2x+1}-8^{2x}=519*2^{2010}[/tex]

Apply the reverse of the product rule: [tex]a^{m+n}=a^m\times a^n[/tex]

[tex]8^{2x}\times 8^3+8^{2x}\times 8^1-8^{2x}=519*2^{2010}[/tex]

Factor on the left

[tex](8^3+ 8^1-1})8^{2x}=519*2^{2010}[/tex]

Evaluate

[tex](512+ 8-1})8^{2x}=519*2^{2010}[/tex]

Simplify:

[tex]519*8^{2x}=519*2^{2010}[/tex]

Divide through by 519

[tex]8^{2x}=2^{2010}[/tex]

Write the the LHS as a power of 2.

[tex]2^{3*2x}=2^{2010}[/tex]

[tex]2^{6x}=2^{2010}[/tex]

Equate the exponent

[tex]6x=2010[/tex]

Divide by 6

x=335

the distance formula is required to find the length of a horizontal segment. true or false?

Answers

Answer:

To use the distance formula to find the length of a line

So you're answer would be false

Hope this Helps (:

You can use the Distance Formula to find the length of such a line. This formula is basically the Pythagorean Theorem, which you can see if you imagine the given line segment as the hypotenuse of a right triangle. By using a basic geometric formula, measuring lines on a coordinate path becomes a relatively easy task.

Answer:

True...

Let me know if that was right, but I'm almost a hundred percent sure it is...

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The names and chemical formulae of some chemical compounds are written in the first two columns of the table below. Each compound is soluble in water.Imagine that a few tenths of a mole of each compound is dissolved in a liter of water. Then, write down in the third column of the table the chemical formula of the major chemical species that will be present in this solution. For example, you know water itself will be present, so you can begin each list with the chemical formula for water (H2O).Note: "major" chemical species are those present in concentrations greater than 10^-6 mol. major species present when dissolved in waterzinc iodide ZnI2 nitrous oxide N2Osodium nitrate NaNO2glucose C6H12O6nickel (II) Iodide NiL2 !!!!?!?!?!!!?!!?!!!!!?!!?!?!?!?!!?!?!?! Large areas of Virginia were once covered by seawater. The fossil MOST LIKELY found in Virginia is the court system makes a ruling on a case legislators amend an old policy or pass a new policy. Which is a good title for the examples in the box above? What was the experience of minority groups during the Great Depression? a. They experienced increased discrimination because of the competition for jobs. b. They were given government loans to start their own businesses. c. They lost their farms due to foreclosure and could not pay back their loans. Photosynthesis releases energy that is immediately useable by the cell to do work.True Or False What is equal to 5 - 1 3/10 Which is a complete sentence? A)Since the drive was so awful. B)My plans to hike next weekend. C)When we hiked in the rain last year. D)Sergio thinks that we should hike in the rain. Which is used when it is necessary to divide a word between syllables at the end of a line of type?A)colonB)contractionC)ellipsisD)hyphen PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!Suppose the velocities of golf swings for amateur golfers are normally distributed with a mean of 95 mph and a standard deviation of 3.9 mph.What is the difference in velocities between a golfer whose z-score is 0 and another golfer whose z-score is 1? Why is voting for leaders significant for citizens of the United States? Allele frequency refers to the fraction of individuals with a particular version of a given gene. What effect does natural selection have on the allele frequency of a population? A. It causes the allele frequency to resemble that of a small number of individuals that became separated from the rest of the population. B. It increases the frequency of alleles that improve a species' survival in a particular environment. C. It causes random changes and the allele frequency of certain traits may increase or decrease. D. It greatly reduces the total population, which increases the effects of genetic drift on allele frequency. How do you know which to pick? HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!! Help please, thank you! Select all the statements that describe the expression 5 + 2x.A The expression represents 5 plus 2 plus x. The expression represents 5 plus 2 times x. The expression represents 5 plus x plus x.D The expression represents 5 plus x times x. The expression represents the sum of 5 and 2x.F The expression represents the product of 5 and 2x. Which statement about the setting of the excerpt from A Long Way Gone is true?A.The story takes place in three locations and includes multiple time periods.B.The story is set in a large city with many foreigners and soldiers interacting.C.The story takes place in Beahs small village and his grandmothers home.D.The story is set during the time before and after the war, not during the war. The amount of matter in the Earth system remains constant over time. The forms and locations of the matter stored within the system, however, change continually as it cycles through the Earth.Matter can be transferred between which of the following elements of the Earth system?A. from the physical environment to living organisms B. from living organisms to the physical environment C. from one living organism to another living organism D. all of these The concepts considered to be the basis for Western legal codes and morals are called A. the Enlightenment. B. Classical Antiquity. C. Carthago-Phoenician values. D. Judeo-Christian values. What are the two types of lighting? Steam Workshop Downloader