A pianist plans to play 5 pieces at a recital from her repertoire of 27 pieces. How many different recital programs are possible?

Answers

Answer 1

The different recital programs that are possible is 80,730 ways

Combination and permutation

Permutation has to do with arrangement while combination has to do with the selection.

According to the question, a pianist plans to play 5 pieces at a recital from her repertoire of 27 pieces, this shows that he can select the 5 pieces in any form.

The number of ways this can be done is given as:
[tex]27C_5=\frac{27!}{(27-5)!5!}\\ 27C_5=80,730[/tex]

Hence the different recital programs that are possible is 80,730 ways

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Related Questions

What is the name of the Platonic solid shown below?
A. Hexahedron
B. Dodecahedron
C. Tetrahedron
D. Octahedron

Answers

Answer: c

Step-by-step explanation: The cube represents the earth, the octahedron represents the air, the tetrahedron represents the fire, the icosahedron represents the water, and the dodecahedron represents the universe

The name of the platonic solid shown is hexahedron.

What are different types of solids?

Tetrahedron - A tetrahedron, also referred to as a triangle pyramid, is a polyhedron with four triangular faces, six straight edges, and four vertex corners in geometry.

Hexahedron - Any polyhedron with six faces is called a hexahedron.

Octahedron - An octahedron is a polyhedron with eight faces in geometry.

Dodecahedron - In geometry, a dodecahedron or duo decahedron is any polyhedron with twelve flat faces.

The figure given in the question has clearly six flat faces and hence according to the definitions it is a hexahedron.

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The complete question is attached.

I need to solve for “x” and then for “y”.

Answers

Step-by-step explanation:

[tex]13 - 4y = 1 - y(opposite \: angles \: of \: a \: parallelogram \: are \: equal) \\ 13 - 4y = 1 - y \\ - 4y + y = 1 - 13 \\ - 3y = - 12 \\ y = \frac{ - 12}{ - 3} \\ y = 4 \\ \\ 7x - 3 = 6x + 3(opposite \: angles \: of \: a \: parallelogram \: are \: equal) \\ 7x - 3 = 6x + 3 \\ 7x - 6x = 3 + 3 \\ x = 6 \\ x = 6 \: \: \: \: \: y = 4[/tex]

Find the area of
the parallelogram.
yd
15 yd
The area of the parallelogram is
yd?.
(Type an integer or a decimal.)

Answers

Answer:

225

Step-by-step explanation:

[tex]15\times 15[/tex]

__________________________________________________

Calculate

[tex]15\times 15[/tex]

__________________________________________________

Calculate the product or quotient

[tex]225[/tex]

I hope this helps you

:)

Francis bought a new dress that was discounted by 21%. She used the following expression to find the price of the dress after the discount was applied.

d - (0.21)d

Which of the following is another expression that could be used to get the same results?
A.
79d
B.
d - 21
C.
d - 0.21
D.
0.79d

Answers

Answer:

D

Step-by-step explanation:

D .  .79 d would be the same

d- .21d =   (1-.21) * d= .79 d

A circle has its center at (2,-4). The radius of the circle extends to the
point (2,5). What is the approximate circumference of the circle?
⚫️114 units
⚫️14 units
⚫️28 units
⚫️57 units

Answers

Check the picture below, so the circle looks more or less like so, with a radius of 9.

[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies C=2\pi (9)\implies C\approx 57[/tex]

In what fraction of their games did Darnel's team score 2 or more runs?

Answers

Answer:

0.75 or 3/4

Step-by-step explanation:

According to the given box plot, the 25% point matches the number 2.

It means the rest of the scores are 2 or more runs:

100% - 25% = 75% = 0.75 = 3/4 of all the runs

PLEASE HELPPP !! use the pythagorean therorem equations and find the missing length of the side.

Answers

Answer:

if you want to find c do sqrt( a² + b²)

if you want to find a do sqrt( c² - b²)

if you want to find b do sqrt( c² - a²)

76.280
seventy-six and twenty-eight ten-thousandths

seventy-six point two eight zero

seven and six hundred twenty-eight thousandths

seventy-six and two hundred eighty thousandths

Answers

Answer:

seventy-six and two hundred eighty thousandths.

Step-by-step explanation:

300,000+5,000+80+8· 1/100 +9· 1/10,000

Answers

Answer:

305,080.0809

Step-by-step explanation:

3 x 100,000 : digit 3 is in the hundred thousands place

5 x 1000 : digit 5 is in the thousands place

8 x 10 : digit 8 is in the tens place

8 x 1/100 : digit 8 is in the hundredths place which means it is the second number after the decimal

9 x 1/10,000 : digit 9 is in the ten thousandths place which means it is the fourth number after the decimal

we get the following number:

305080.0809

Estimate the square root to the nearest (a) integer and (b) tenth.

46−−√

Answers

Using rounding concepts, it is found that the estimates of the square root of 46 are given as follows:

a) Rounded to the nearest integer, the square root of 46 is of 7.

b) Rounded to the nearest tenth, the square root of 46 is of 6.8.

How we round a number?

To round a number to the nearest integer, we have to look at the tenths digit.To round a number to the nearest tenth, we have to look at the hundredths digit.If the digit we look is of 5 or greater, we round one to the rounded digit.

Using a calculator, we have that the square root of 46 is of 6.78.

7 > 5, hence rounded to the nearest integer, the square root of 46 is of 7.8 > 5, hence rounded to the nearest tenth, the square root of 46 is of 6.8.

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i need this done help please asap i have a meeting with my teacher in 30 minutes

Answers

The answer to the given permutation and combination are

3024015585009252

To solve the given problems, we have to use permutation and combination

Permutation and Combination

This is a topic in mathematics that deals with the probability or number of ways an event can occur.

a)10P5

[tex]_1_0P_5 = 30240[/tex]

b) 6C2

[tex]_6C_2 = 15[/tex]

c) This will be a multiplication of permutation of number. This becomes

[tex]_2_6P_2 * _1_0P_2 = 58500[/tex]

This can happen in 58,500 ways.

d) To arrange 9 blocks in a row, she can do it in

[tex]_9C_1 = 9[/tex]

she can do this in 9 ways

e) This can be solved using combination by writing it as

[tex]_1_0C_5 = 252[/tex]

She can do this in 252 ways.

From the above calculations, the answer to the given permutation and combination are

3024015585009252

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A patient is ordered 2 2/3 ounces of oral medication per dose today. How many ounces of this oral medication should the patient receive per day?

Answers

Answer:

Varies - possibly not enough information

Step-by-step explanation:

How many doses per day?

Do you only need to know the amount of oz. for "today"?

Does this need to be expressed in decimal form?

If the patient is ordered to take 2- 2/3 oz. per day, you have your answer.

Decimal form: 2-2/3 = 8/3 = 2.667 oz.  

Figure 1
Figure 2
B
D
E
С
Z
128 cm
2
am
Area of Figure 1 =
Area of Figure 2 =
Perimeter of Figure 1 = 24 cm
Perimeter of Figure 2 = 21 cm
BC=
DE = 7 cm

Answers

Tip: Go to the internet and put the topic you are focused more on that you posted in Brainly

Step-by-step explanation:

Try it to give you some help

A new computer repair company offers house calls to their customers. They use the function f(h) = 45h + 80 to calculate the total repair bill, f(h), for h number of hours worked. A. What does 45 represent in the function? < B. What does 80 represent in the function? > C. Find h if f(h) = 215. What does this value of h mean in the context of the problem? <​

Answers

The function f(h) = 45h + 80  of the computer repair is a linear function

45 represents the hourly rate80 represents the base costThe value of h means 3 hours

What 45 and 80 represents?

A linear function is represented as:

f(h) = mh + c

Where:

m represents the rate; m = 45b represents the base cost or y-intercept; y = 80

By comparison;

45 represents the hourly rate and 80 represents the base cost

How to calculate h?

We have:

f(h) = 45h + 80  

When f(h) = 215, the function becomes

45h + 80 = 215

Subtract 80 from both sides

45h = 135

Divide both sides by 45

h = 3

Hence, the value of h means 3 hours

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Kristina house is 11 3/10 Luke house is 9 2/10

Answers

Answer:

they are 3 1/10 units away from each other

Step-by-step explanation:

11 3/10 - 9 2/10

3 1/10

the sum of two integers is - 120 if one of them is 82 find the other

Answers

Answer:

38

Step-by-step explanation:

Here,

Let one of the unknown integer be x whereas the other one be 82 (according to question)

Now,

X+82=120

Or, x=120-82

Or, x=38

Therefore the value of the unknown integer is 38.

Find the surface area of a triangular prism. 16 cm., 20cm.,12cm.,10cm.

Answers

The answer is 672cm squared

If csc a = -5square root 6 /12 and cos a >0, find cot a

Answers

The measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5

Trigonometry identity

Given the following trigonometry function as shown below:

csc(a) = -5√6/12

Since csc(a) = 1/sin(a)

sin(a) = -12/5√6
sin(a) = -12√6/30 = -4√6/15 = opp/hyp

Determine the measure of cos(a)

adj^2 = (-4√6)^2+15^2
adj^2 = 144+225
adj = √369

cot(a) = cos(a)/sin(a)

cot(a) = √369/15 * 15/ -4√6
cot(a) = -1/4√61.5

Hence the measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5

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At the popular restaurant fire wok 55% of guests order the signature dish what fraction of guests order the signature dish?

Answers

Answer:

The simplest fraction is 11/20

Step-by-step explanation:

Given that,

Guests order the signature dish is 55%.

We need to find simplest fraction of guests who order signature dish.

Let the fraction be X.

According to above information, calculation of data are as follows,

x=55/100

x=11/20

So, the simplest fraction of guests is 11/20

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Drawing a 3 cards that are all 9 from a deck of cards

Answers

Answer:

the answer is 3 :))

Step-by-step explanation:

9/3= 3

Graph the line with slope
2.
passing through the point (-3, 3).
3
1
?
13

Answers

The graph of the line with the given slope that passes through (-3, 3) is shown in the image attached below.

What is the Equation of a Line in Slope-intercept Form?

The equation in slope-intercept form of a line, is y = mx + b, where:

b = y-intercept

m = slope = change in y/change in x.

Given a line with slope = 2 and passes through (-3, 3), plug in m = 2 and (a, b) = (-3, 3) into y - b = m(x - a) to write the equation of the line

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

Rewrite in slope-intercept form

y - 3 = 2x + 6

y = 2x + 6 - 3

y = 2x + 3

Therefore, the graph of the line with the given slope that passes through (-3, 3) is shown in the image attached below.

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In a computer game , Reese scored 13,925 points. Manny scored 2,742 points more than Reese. How many points did manny score?

Answers

Answer:

16,667

Step-by-step explanation:

13,925 + 2,742 = 16,667

Answer:

Bonjour

Step-by-step explanation:

Reese : 13 925

Manny : 2 742 de plus que Reese donc 13 925 + 2 742

13 925 + 2 742 = 16 667

Manny a marqué 16 667 points.

help its so hard!!!!!!!!!

Answers

Answer:

It should be 27 from the answer I got

Step-by-step explanation:

Hope this helps <3

Select the correct answer.
If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?

A.
There is exactly one solution.
B.
There is no solution.
C.
There are infinitely many solutions.
D.
The lines in a system cannot graph as the same line.

Answers

Answer:

C

Step-by-step explanation:


What is the measure of BDC?

Answers

Answer:

250 degrees

Step-by-step explanation:

180-55 = 125

360-125= 250

please help me!!!!!!!​

Answers

Answer:

in the first one: BMC is equilateral triangle, because BM divides AC into equal sections, and because of that MC is 3.5 so it equals to BC.

Since angle BMC is 60° (because the triangle is equilateral), angle AMC will be 120°.

Since angle A + angle C should be 90°, if amgle C is 60°, then angle A will be 30.

In triangle AMB, angle ABM will be 30° (180°-120°(angle AMB) - 30°(angle BAM)).

As we calulated, angle A is 30° and angle ABM is 30° too, that means in BAM triangle AM=BM.

Pls I need this today right now pls

Answers

Answer:

ur right its A

Step-by-step explanation:

The answer is A 1/6!

Find the Missing numbers:
250/20=25/?

Answers

I believe it’s 2.
250/20 divided by 10 is 25/2, so 2 would be the missing number.

Find 12 1/2% of #400.00
find 12 1/2 percentage of 400 naira ​

Answers

Answer:

I think its 50 if this is correct can u mark me brainliest?

Find the seperate equation from 2x² - 5xy + 2y²


Please can someone answer this...
I'll mark as BRAINLIEST...​

Answers

Answer:

There is two simple equations one where you take out x as a comman factor and y as a common factor

Step-by-step explanation:

x(2x - 5y+ 2y squared)

Y(2x squared - 5x + 2y)

Sorry I don't know how to do the sqaure thingy but that's how you find two separate equations

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