Dj Jacqueline is making a playlist for a friend: she is trying to decide what 15 songs to play and in what order they should be played. If she has her choices narrowed down to 10 pop. 25 reggae, and 10 blues songs, and she wants to play an equal number of pop. reggae, and blues songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place

Answers

Answer 1

Answer:

4.4 * 10^21

Step-by-step explanation:

Given :

Number of pop, n(p) = 10

Number of reggae, n(r) = 25

Number of blues, n(b) = 10

Total number of songs to select (n) = 15

If she wants equal Number if the 3 genres

Each genre will have : 15/3 = 5 songs each

Hence,

(10C5 * 25C5 * 10C5) * n!

Combination formula :

pCr = p! / (p-r)! r!

Using calculator to save computation time :

(10C5 * 25C5 * 10C5) * n!

(252 * 53130 * 252) * 15!

= 4412050844368527360000

= 4.4 * 10^21


Related Questions

-9, -6, -1, 6, 15 …
What is the 8th term of the sequence?

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It’s 54. :))))))))))))))

Please help me guys

2+2

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Answer:

Step-by-step explanation:

2 plus 2 is four (4)

1.
Write the ratio 2:6 in its simplest form.

Answers

Answer:

1:3

Step-by-step explanation:

2:6 common multiple is 2 so 2:6 divide by 2 is 1:3

Answer:

1:3

Step-by-step explanation:

this is the answer understand

Please help I’ll mark you as brainliest if correct

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Answer:

Yes the answer is 69.08

Jack is shopping. Last week he bought $10 of groceries and ended up paying $10.07 after taxes. This week he's buying $15 of groceries. If the tax rate remains the same, how much will he end up paying after taxes?

Answers

Answer:

16.05

Step-by-step explanation:

first I realized 7 cents is .07% of 10 the I multiplied .07 times 15 then I added them up and got the answer

16.05 is the correct answer to this

How many 1/3 are in 2 2/3

Answers

Answer:

8/3

Step-by-step explanation:

You have to count each third and eventually you would get 8/3.

Can someone who is smart in math help please algebra one

Answers

Answer:

I'm not sure but y=1 may be the answer

Answer: (0,1)

Step-by-step explanation:

3(x+y)=y
If (x,y) is a solution to the equation above and y does not equal 0, what is the ratio x/y?

please add an explanation.

Answers

3(x+y)=y

y is not equal to zero

*Solution  

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,  

                       3(x+y) = y

                     3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

                             3x = -2y

Dividing both sides of the equation by 3,  

                               x = (-2/3)y

Dividing both sides of the equation by y,  

                             x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.  

                             

A chameleon is looking for prey. Let positive numbers represent the elevation of prey above the chameleon and negative numbers represent the elevation of prey below the chameleon. The chameleon spots a fly at 4 \text{ m}4 m4, start text, space, m, end text and a grasshopper at -6\text{ m}−6 mminus, 6, start text, space, m, end text. What does an elevation of 0 \text{ m}0 m0, start text, space, m, end text represent in this situation?

Answers

Answer:

B: The elevation of the chameleon

Step-by-step explanation:

The Fly is above the chameleon, so its elevation should be represented by a "positive number"(Example of positive number: 16)

Also,

The Grasshopper is below the chameleon, so its elevation should be represented by a "negative number"(Example of negative number: -23)

ඞHope this helps u because i got dis question from Khan Academyඞ

Which of number below are whole numbers

Answers

Answer:

D and F

Step-by-step explanation:

Numbers such as 0,1,2,3 etc are Whole numbers

Answer:

Your answer is D and F

Step-by-step explanation:

because only 951 and 3 are the numbers with no points and whole numbers require this..

HOPE THIS HELPS YOU

PLS MARK AS BRAINLIEST

An equilateral triangle has a side length of 12sqrt(3) inches. What is the length of the altitude of the triangle?
HELP ASAP

Answers

Answer:

18 inches.

Step-by-step explanation:

Let x inches be the altitude of the triangle.

By Pythagoras Theorem,

[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2

108 + x^2 = 432

x^2 = 324

x = 18

So the altitude of the triangle is 18 inches.

A. Dos números enteros positivos cuya diferencia sea 42
B. Dos números enteros negativos cuya diferencia sea 9
C. Dos números enteros de diferente signo cuya diferencia sea 120

Answers

Answer:

ne hamla que estas no habla espanol

Step-by-step explanation:

que

The spring shown below is sitting on a flat surface and it is pushed together with a weight.




What type of energy does the spring currently have?
A.
elastic potential energy
B.
kinetic energy
C.
gravitational potential energy
D.
chemical potential energy
PLEASE I NEED HELP RIGHT NOW PLZZZ!!!

Answers

Answer:

A.elastic potential energy

I Hope It Helps

help pls due today thanks

Answers

Answer:

18/3 is 6

-18/3 is -6

-18/(-3) is 6

18/(-3) is -6

the product of two number is 20 and the sum of square is 41 find the number​

Answers

Answer:

Answer. The numbers are 4 and 5. Their sum = 25 + 16 = 41.

A diver went 3 feet below the surface of the water and tagged a rock with a flag, and then went down an additional 2 feet to tag another rock.
Which number line is a correct representation of the distance between the two flags?
A.
B.
C.
D.

Answers

I think the correct answer is B

Answer:

its .   B

Step-by-step explanation:

becuse i took the test -x-

hoped it helped

You are doing research on balance and fitness. To complete this research you will need a watch with a second hand. Identify a random sample of n = 12 men and n = 8 women. You must answer this question: How do you establish that this sample is truly random?

Answers

Answer:

Step-by-step explanation:

In order to establish that the sample is truly random you need to obtain two main factors. First, is making sure that the random sample of both groups chosen (men and women) are equal in proportion to the overall population. Meaning both groups must be the same percentage of the overall population of the same gender. The second factor that you need to make sure of is that all chosen individual's had the exact same probability of being chosen from the population and no external factor influenced the probability of them being chosen for the study.

Evaluate: (2.3)2

I need help fast !!!!!!!!!!!!!!!!

Answers

Answer:

4.6???

Step-by-step explanation:

Answer: 4.6

(2.3)2

2.3+2.3 = 4.6

QUESTION 1
Find the remaining sides of a 30° -60°-90° triangle if the shortest side is 3.

Answers

Answer:

the other sides are 6 and 3√3

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Right Triangle

We are given a right triangle whose shortest side has a length of 3 units. This side must be opposite to the smallest acute angle of 30°.

The triangle is shown in the figure attached.

The tangent ratio relates the opposite side with the adjacent side. The formula can be applied to the angle of 30° as follows:

[tex]\displaystyle \tan 30^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 30^\circ=\frac{3}{y}[/tex]

Solving for y:

[tex]\displaystyle y=\frac{3}{\tan 30^\circ}[/tex]

Since:

[tex]\tan 30^\circ=\frac{1}{\sqrt{3}}[/tex]

[tex]\displaystyle y=3\sqrt{3}[/tex]

Now applying the sine to find the hypotenuse x:

[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 30^\circ=\frac{3}{x}[/tex]

Solving for x:

[tex]\displaystyle x=\frac{3}{\sin 30^\circ}[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}[/tex]

[tex]\displaystyle x=\frac{3}{\frac{1}{2}}[/tex]

x = 6

Students were asked to choose their favorite sport
and 5/9chose either basketball or soccer. If 1/9 of the
students chose basketball, what fraction chose
soccer?

Answers

Answer:

5/9-1/9=4/9

Step-by-step explanation:

5/9 chose basketball or soccer. 1/9 chose basketball.

answer is 4/9

Find CD if C and D are midpoints segment XY and ZY respectively.
Options:8,10,12,6

Answers

I will help you as soon as possible

Answer:

CD=8

Step-by-step explanation:

CD=1/2 of ZX

1/2 of 16= 8

Hope this helps!

Please mark me brainliest if you can. :)

The table below represents Mark's assets and liabilities.
Item
Value
Pocket Money
$18
Checking Account Balance $45
Loan from friend
$14
Check for mowing lawn $25
What is the total of Mark's liabilities?
O $39
O $25
O $18
O $14

Answers

Answer:

18

Step-by-step explanation:

How to Simplify (7x+2)+(x+8)-2x

Answers

Answer:

Step-by-step explanation:

The answer to this should be 2(3x+5)

The simplified answer of this is 6x+10

I hope I helped you out.

Answer:

P: ()

E: 5^4 (example)

M:x

D: ÷

A:+

S:-

help I'm confused there are many formulas, and do not know which one is right​

Answers

9514 1404 393

Answer:

  384 cm²

Step-by-step explanation:

It is always a good idea to take a look at what you have and what you are being asked before you go launching into formulas. Then you can pick the formula(s) appropriate to your needs.

__

Your pyramid has a square base, so four (4) triangular faces. The area being asked for is the total of the areas of the square base and those triangular faces.

The formula for the area of a square is ...

  A = s² . . . . . where s represents the side length

Here, the side of the square is 12 cm, so the area of the square base will be ...

  A = (12 cm)² = 144 cm²

__

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where b is the base length and h is the altitude

In this problem, you're not given the altitude of the triangular face (also called the "slant height" of the triangle). Instead, you're given the height of the pyramid. So, you have to determine the slant height.

Consider the cross section you get when you cut the pyramid with a vertical plane through the peak and the middle of opposite sides. It will be an isosceles triangle with a base equal to the side length of the pyramid, and side lengths equal to the slant height of the pyramid face. See the attachment for an idea of what this looks like.

In order to determine the length of the side of that cross-section triangle, draw its altitude. That is the 8 cm height of the pyramid. Then use the Pythagorean theorem to find the hypotenuse of the right triangle with legs 6 cm and 8 cm:

  slant height = √(8² +6²) = √100 = 10 . . . . cm

Now, we can find the area of one of the four triangular faces:

  A = (1/2)(12 cm)(10 cm) = 60 cm²

__

The surface area of the pyramid is then ...

  surface area = base area + 4 × triangular face area

  surface area = 144 cm² + 4 × 60 cm² = (144 +240) cm²

  surface area = 384 cm²

Leslie leaves her house and drives to another city for her
sister's wedding. She drives 77 miles north and then 420
miles east. How far is Leslie from her house? HELP PLEASE

Answers

Answer:

Step-by-step explanation: You have to add the number

420

+77

497

help asap:)! i will give brainliest

Answers

I think the answer is 2/3

2/3 is the correct answer

9.66 rounded to 1 decimal place

Answers

Answer:

9.7

Step-by-step explanation:

When rounding 9.66 to one decimal place we use One Decimal Place Rule #2. Therefore, the answer to "What is 9.66 rounded to 1 decimal place?" is:

your answer would be 9.7

please mark brainelist!!!

Which operation should you perform first in the expression 12x4 to the 2 power

Answers

Answer:

96

Step-by-step explanation:

12 times 4 gets you 48

48 times 2 gets you 96

a frame holds a picture that is 15 inches long and x inches wide. The frame border is 3 inches wide around the picture. what expression represents the are of the frame border

Answers

9514 1404 393

Answer:

  border area = 6x +126

Step-by-step explanation:

The dimensions of the picture with its frame will be ...

 (15 +2×3) long by (x +2×3) wide

The border area is the difference between the picture overall frame area and the picture area:

  border area = (15+6)(x+6) -(15x) = 21x +126 -15x

  border area = 6x +126

Answer:

hvjv

Step-by-step explanation:

In hopes of encouraging healthier snacks at school, Josie brought in a tray of carrot sticks and apple slices to share. The tray had a total of 60 snacks, of which 70% were carrot sticks. How many carrot sticks did Josie bring?

Answers

Josie would bring 42 carrot sticks
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