Answer:
Different playlists possible = 18287141644800
Step-by-step explanation:
Given - DJ Titus is making a playlist for a radio show; he is trying to
decide what 10 songs to play and in what order they should be
played.
Step 1 of 2 : If he has his choices narrowed down to 7 blues,
7 disco, 5 pop, and 7 reggae songs.
To find - He wants to play no more than 4 reggae songs.
How many different playlists are possible ?
Proof -
Given that he wants to play no more that 4 reggae songs.
So the possibility of choice of reggae song is 0, 1, 2, 3, 4
Now,
Case I -
If 0 reggae song is selected
⇒All 10 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₁₀ ₓ ⁷C₀ = 92,378
Case II -
If 1 reggae song is selected
⇒All 9 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₉ ₓ ⁷C₁ = 646,646
Case III -
If 2 reggae song is selected
⇒All 8 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₈ ₓ ⁷C₂ = 1,587,222
Case IV -
If 3 reggae song is selected
⇒All 7 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₇ ₓ ⁷C₃ = 1,763,580
Case V -
If 4 reggae song is selected
⇒All 6 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₆ ₓ ⁷C₄ = 949,620
So,
Total possible ways = 92,378+ 646,646+ 1,587,222+ 1,763,580+ 949,620
= 5,039,446
⇒Total possible ways = 5,039,446
Now,
Also the 10 songs selected can arranged themselves in 10! ways. ( because order of song played does not matter )
∴ we get
Different playlists possible = 10! × 5,039,446
= 18287141644800
⇒Different playlists possible = 18287141644800
A cylinder has a diameter of 6 cm and a height of 20 cm what is the volume?
Step-by-step explanation:
V = pi r2 h
22/7 × (6/2)^2 × 20
565.71 cm3
Alex bought a 6-pack of sports drink bottles that each had a volume of 350 ml.
a If Alex drank 3 of them, how many milliliters did she drink? Show your work.
Answer:
1,050ml
Step-by-step explanation:
6 x 350= 2,100
3 x 350= 1,050
2,100 - 1,050 = 1050ml
the sum of 2 fractions 8/9. the difference 2/9. what are the 2 fractions?
Answer:
5/9 and 3/9
Step-by-step explanation:
run through the different possibilities and see what has a difference of 2/9th. Here is the way I ran through it
1/9 + 8/9 Difference is not 2/9th
2/9 + 6/9 Difference is not 2/9th
3/9 + 5/9 Difference is 2/9th. This is our answer
Step-by-step explanation:
5/9 and 3/9.....add 5/9 and 3/9 and you will get 8/9....if you subtract 5 and 3 it will give you 2....5/9-3/9=2/9
What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26, ...
-6
-4
ООО
4
о в
Let be a1 = 8 and a2 = 8 [ From question ]
We have to find out common differences which denoted by letter d .
d = a2 - a1 [ Formula ]
= 8 - 2
= 6
Thus,the common difference between successive terms in the sequence is 6 .
Answer:
6.
Step-by-step explanation:
We have to find out common differences which denoted by letter d .
d = a2 - a1 [ Formula ]
= 8 - 2
= 6
Also,
2+6=8 +6=14 +6=20 +6=26
So, It's Added Up By 6.
(1/4)^3
pls help me im at home and dont know this lol
X
y = x2 - 4
y=-x-2
-5
5
10
O A. (-2,0)
O B. (1,-3)
C. (0, -4)
D. (2,0)
Answer:
if its multiple answer I think its a and c
Step-by-step explanation:
also screw the other guy that didn't answer the question
Helllllllpppppp pls help me
Answer:
there you go!! it's correct dont worry
What is the area?
30
32 in
Step-by-step explanation:
Here's your solution
=> Base = 32 In
=> Height = 30 in
=> Area of traingle = 1/2*base *height
=> putting the value of base and height in formula
=> Area = 1/2*30*32
=> Area = 480 in sq
hope it helps
(URGENT) Worth all my points 7.3
Answer:
Step-by-step explanation:
I'll assume that all the angles are 90°, and there is no bottom to the box.
To determine the wood needed, calculate the surface area of the bed. Since there is no bottom or top to the box, the amount of wood is 2(45 in × 21 in) + 2(22 in × 21 in) = 1890 in² + 924 in² = 2814 in²
To determine the soil needed, calculate the volume of the box.
volume = 45 in × 21 in × 22 in = 20,790 in³
Find the area of the shaded figure.
The area is ?
square units
Answer:
12
kdbsvaidjdbewjwowlbaab
How many days is 1,000 hours?
Answer:
41.6666667 or 41 2/3 days
Step-by-step explanation:
There are 24 hours in a day. So you need to divide the hours by 24.
1000/24 is 41 and 2/3 days
Answer:
41.666667
Explanation:
Divide by 24 because 1 day is 24 hours
1000 / 24 = 41.666667
Romell receives five points for each correct answer on a
test and loses two point for each incorrect
answer.
a. Write an equation showing that Reggie received 30 points.
6x = 30
b. Write an equation showing that Reggie answered all 35 questions on the
test.
Answer:
5x - 2y = 30
x + y = 35
Step-by-step explanation:
Number of correct answers = x
Number of incorrect answers = y
Points won per correct answer = 5
Points lost per incorrect answer = 2
If Reggie received 30 points :
Required equation :
(points won per correct answer * number of correct answers) + (points lost per incorrect answer * number of incorrect answers)
5x + (-2y) = 30
5x - 2y = 30
Equation showing that Reggie answer all 35 questions :
Number of correct answers + number of incorrect answers = 35
x + y = 35
X1 + X2 =-8
3X1 +2X2 = 18
Answer:
X1 = 34
X2 = -42
Step-by-step explanation:
Given the simultaneous equations
X1 + X2 =-8 .... 1 * 3
3X1 +2X2 = 18 .... 2 * 1
______________________
3X1 + 3X2 = -24
3X1 +2X2 = 18
Subtract
3X2 - 2X2 =-24 - 18
X2 = -42
Substitute X2 = -42 into 1
X1 + X2 = -8
X1 - 42 = -8
X1 = -8+42
X1 = 34
Hence the solution to the system of equation is (34, -42)
Find ONLY the measure of angle B
Answer:
Need points srry <3
Step-by-step explanation:
Btw too many tabs are open maybe close them to helo your frame rate ;D
I need help with the equal number questions only for example 2. 4. 6. 8. 10. 12. 14. 16. 18. 20. 22. 24. 26. 28. 30. no random stuff only answers please pdfs are allowed as long as they are real not redirects I will report redirects that are nasty or fake and to what I'm looking for thanks(:
Answer:
4. [tex]\frac{131}{12}[/tex] = [tex]10\frac{11}{12}[/tex]
6. [tex]\frac{236}{15}[/tex] = [tex]15\frac{11}{15}[/tex]
8. [tex]\frac{51}{5}[/tex] = [tex]10\frac{1}{5}[/tex]
10. [tex]\frac{31}{6}[/tex] = [tex]5\frac{1}{6}[/tex]
12. [tex]\frac{193}{25}[/tex] = [tex]7\frac{18}{25}[/tex]
14. [tex]\frac{7}{3}[/tex] = [tex]2\frac{1}{3}[/tex]
16. [tex]1[/tex]
18. [tex]\frac{16}{3}[/tex] = [tex]5\frac{1}{3}[/tex]
20. [tex]\frac{309}{28}[/tex] = [tex]11\frac{1}{28}[/tex]
22. [tex]20.3[/tex]
24. [tex]30, 45, 60[/tex]
26. no, no, yes, yes
Step-by-step explanation:
If you have any questions feel free to ask - Mark
Graph the equations to solve the system y=2x+4 y=3x+3
Answer:
(1, 6)
General Formulas and Concepts:
Algebra I
Functions
Graphing
Reading a Cartesian Plane
Coordinates (x, y)Solving systems of equations by graphing
Step-by-step explanation:
Where the 2 equations intersect is the solutions to the systems of equations.
Lesley will use more than 1/2 cup but less than 1 whole cup of flour for a recipe
Answer:
3/4
Step-by-step explanation:
3/4 is greater than 1/2 and still less than 1 whole.
Some children were asked to name their favorite color.
Favorite Color
Red
Blue
Green
Yellow
= 5 children
More children like green than red. How many more?
5 children
B
7 children
35 children
D 25 children
Answer:
its 5 Obviously :)
Step-by-step explanation:
get it
What is the population in 2020 of a place that has a population of 4 million people in 2011 and is growing at a rate of 1.3%?
Answer:
370 million
Step-by-step explanation:
In the 10 years from 2000 to 2010, the population was multiplied by the factor ...
100% + 9.6% = 109.6% = 1.096
In the next 20 years from 2010 to 2030, the population will be multiplied by that factor twice, if it grows at the same rate:
2030 population = (308 million)·(1.096²) ≈ 370 million
-3z - z equivalent expression
Can someone help me with this ?
Answer:
Bughghgg7guhih
Step-by-step explanation:
What is the solution to this addition sentence?
3/4 + (-1/2) = _____
Answer:
1/4
Step-by-step explanation:
-1/2 in to -2/4
3/4+(-2/4)=1/4
What is the sum of the rational expressions 2x+7/x+5+x-3/x+5
A 3x+10/x+5
B 3x+10/2x+10
C 3x+4/x+5
D3x+4/2x+10
Answer:
=3x+{4}{x}+10
Step-by-step explanation:
The sum of the rational expression is =3x+{4}{x}+10
on the grid, which point is located in the quadrant where the x-coordinate is a negative number and the y- coordinate is a positive number¿
Answer:
b
Step-by-step explanation:
because if you look at it the x-coordinate is -6 and the y-coordinate is positive 4
Does anyone know this?
2/10 convert to a decimal
Answer:
0.2 is the answer
-your welcome and have a great day!!
Can Yall help with the question
Answer:
A. Transform Boundary
Step-by-step explanation:
Transform boundaries are places where plates slide sideways past each other
Divergent Boundaries occur when two tectonic plates move away from each other
Convergent Boundaries are when both the plates collide into each other
Subduction boundaries are when one plate bends and slides underneath the other curving down into the mantle
Hope this helps dude
Answer: no learn it urseld caca haha
Step-by-step explanation:
What is the surface area of this triangular pyramid?
___square inches
Answer:
Surface area = 10.7 in.²
Step-by-step explanation:
Surface Area of triangular pyramid = BA + P*L
Base Area (BA) = ½*nh
b = 2 in.
h = 1.7 in.
BA = ½*2*1.7 = 1.7 in.²
Perimeter (P) = 2 + 2 + 2 = 6 in.
Slant height (L) = 3 in.
Plug in the values
Surface Area = 1.7 + ½*6*3
Surface area = 10.7 in.²
Is 2/3 and 6/10 equivalent or non-equivalent
Answer:
not
Step-by-step explanation:
Answer:
non-equivalent
Step-by-step explanation:
the equivalend fraction of [tex]\frac{2}{3}[/tex] is [tex]\frac{6}{9}[/tex] not [tex]\frac{6}{10}[/tex]
Which of the following functions has the same horizontal asymptote as the function graphed below?
Answer:
In most cases, there are two types of functions that have horizontal asymptotes. Functions in quotient form whose denominators are bigger than numerators when x is large positive or large negative.
Step-by-step explanation: