You want to randomly arrange 4 discs in a CD rack. What is the probability that the rack ends up in alphabetical order

Answers

Answer 1

Answer:

The probability is 1/24

Step-by-step explanation:

The total number of possible arrangements is;

4! = 4 * 3 * 2 * 1 = 24

Now, out of all these, there is only one possible correct alphabetical arrangement

so, to get this probability, we have to divide 1 by the total number of possible arrangements

we have this simply as 1/24


Related Questions

In the diagram, what is m NSR?

Answers

RU is a line which needs to equal 180 degrees. This means angle VSR + VSU needs to equal 180.

VSU = 100

VSR = 180 - 100 = 80

Answer: VSR = 80

Answer:

∠ VSR = 80°

Step-by-step explanation:

∠ VSR and ∠ VSU are adjacent angles and sum to 180° , then

∠ VSR + 100° = 180° ( subtract 100° from both sides )

∠ VSR = 80°

plz help ASAP with explanation

Answers

These are the answers but seriously… It’s simple multiplication That’s the explanation

Answer:

(in image attached)

Step-by-step explanation:

A.

Left: 6×-3

Right: -3×-2

Bottom: 6×-2

B.

48÷6 = 8

-42÷6 = -7

-56÷8 = -7

-56÷-7= 8

Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds. Compare the speeds if he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.​

Answers

Answer:

The two speeds are equal

Step-by-step explanation:

The speed is the distance divided by the time

100 meters / 9.75 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

200 meters / 19.5 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

The two speeds are equal

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

⠀Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds.⠀⠀⠀he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

Compare the speeds⠀⠀⠀⠀

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

we know that,

[tex]\boxed{\sf{speed=\dfrac{distance}{time}} }[/tex]

In the 100-meter race in the 2012 Olympics he takes 9.75 sec

speed=100/9.75speed =10.2564...speed=10.26

BUTTT,

he ran the 200-meter race in 19.5 seconds.

speed=200/19.5speed=10.2564..speed=10.26

According to the question,

we have to compare the speed

100-meter race in the 2012 Olympics he takes 9.75 sec=200-meter race in 19.5 seconds.

10.26=10.26

the speeds are equal

⠀⠀⠀

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

The two speeds are equal of Yohan Blake.

A caterer is agrranging 72 ham sandwiche and 48 pimento cheese sandwiches on serving trays. He would like to arrange the sandwiches so tht each tray has the same number of each kind of sandwich. The number of ham sandwiches on a tray does not need to equal the number of pimento cheese sandwiches on the tray. What is the maximum number of traysthe caterer can use? .

Answers

Answer:

24

Step-by-step explanation:

The greatest number of trays the caterer can split the 72 ham sandwiches  and 48 pimento cheese sandwiches into can be determined by calculating the highest common factor and 48 and 72

Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Factors of 72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

the highest common factor is 48 ad 72 is 24

ratio of 55 paise is to 1 rupees

Answers

Answer:

You have to equal the unit first,

as 1 Rupee = 100 paise,

so,

55paise: 100paise,

= 11:20

I hope it hepled : )

I rupee = 100 paise

So 55 paise : 100 paise

= 11:20

What is 4 and 2/3 written as a radical?

Answers

Answer:

14/3

Step-by-step explanation:

4 and 2/3 = 4 2/3 = 4 + 2/3 = 4/1 + 2/3 = 12/3 + 2/3 = 14/3

John is 20 years old than Steve. In 10 years, Steve's age will be half that of John's. What is the Steve age??

Answers

Answer:Steve age will be 15 y.o

Step-by-step explanation:

Which equation in slope-intercept form represents a line that passes through the point (5,−1) and is parallel to the line y=2x-7?

Answers

Answer:

y = 2x - 11

Step-by-step explanation:

y = 2x + b

-1 = 2(5) + b

-1 = 10 + b

-11 = b

Simplify. 6x-2
A.6/x^2
B.x²/6
C.1/6x^2
D.1/36x^2

Answers

Answer:

Step-by-step explanation:

[tex]a^{-m}=\frac{1}{a^{m}}\\\\6x^{-2}=6*\frac{1}{x^{2}}=\frac{6}{x^{2}}[/tex]

Which represents f(x)=g

Answers

This is effectively asking where their y values are the same so visually on the graph, we can see that as where the functions intersect. This occurs at (-4, 4) and (0,4).

The answers, are given in terms of the input (your x value) so we are looking for the answer that has x values of -4 and 0 to make the equal statement true. You’re answer is the second option/B

Increase £16470.45 by 13.5% Give your answer rounded to 2 DP. Someone help pls

Answers

Answer: £18693.96

Step-by-step explanation:

13.5% = 0.135

16470.45 + 16470.45(0.135)

= 16470.45(1 + 0.135)

= 16470.45(1.135)

≈ 18693.96

Solve for x. Round to the nearest tenth, if necessary.

Answers

176,6 you need to use soh cah toa in this case toa

In the picture shown below, what proportion would NOT give the correct value of x?

Answers

Answer: (c)

Step-by-step explanation:

In the given figure, two triangles are similar namely [tex]\triangle ABC[/tex] and [tex]\triangle ADB[/tex]

For similar triangles, the ratio of the corresponding sides are equal.

For option (a), Hypotenuse to Perpendicular ratio is given, that is correct

Similarly for option (b), Perpendicular to hypotenuse ratio is given

Both option (a) and (b) gives the same value of [tex]x[/tex] that is,

[tex]\Rightarrow x=\sqrt{81\times 45}\\\Rightarrow x=60.37[/tex]

Option (c) does not give the correct value of  [tex]x[/tex]

Answer:

C

Step-by-step explanation:

In the given figure, two triangles are similar namely  and  

For similar triangles, the ratio of the corresponding sides are equal.

For option (a), Hypotenuse to Perpendicular ratio is given, that is correct

Similarly for option (b), Perpendicular to hypotenuse ratio is given

Both option (a) and (b) gives the same value of  that is,

Option (c) does not give the correct value of  

Nachelle went to the store to buy some almonds. The price per pound of the almonds is $6.50 per pound and she has a coupon for $4.75 off the final amount. With the coupon, how much would Nachelle have to pay to buy 5 pounds of almonds? Also, write an expression for the cost to buy pp pounds of almonds, assuming at least one pound is purchased.

Answers

Step-by-step explanation:

hope this will help you mark me as brinalist friend please

The amount paid for the 5 pound of almond by Nachelle is $27.75.

What is meant by the term equation?In its most basic form, an equation is a numerical declaration that demonstrates that two formulas are equal. 3x + 25 = 14, for example, is an equation whereby a 3x + 25 and 14 are 2 expressions separated by a 'equal' sign.

Let 'p' be the number of pounds of almonds purchased by Nachelle.

Let 'c' be the total cost paid.

The cost of per pound of the almonds is $6.50 per pound.

The amount of the coupon is $4.75.

Thus, the equation will be ;

c = 6.50p - 4.75   ......equation.

For number of pounds p = 5.

c = 6.50×5 - 4.75

c = $27.75

Thus, the amount paid for the 5 pound of almond by Nachelle is $27.75.

To know more about equation, here

https://brainly.com/question/18831322

#SPJ2

In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply

Answers

Answer:

Step-by-step explanation:

From the picture attached,

ΔDEF is a right triangle with two sides,

EF = 17 units

DF = 20 units

By applying Pythagoras theorem in the given triangle,

DE² = DF² + EF²

(20)² = DF² + (17)²

DF² = 400 - 289

DF = √111

Trigonometric ratios for the ∠F,

sin(F) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\text{sin}F=\frac{\sqrt{111}}{20}[/tex]

[tex]\text{cosF}=\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\text{cos}F=\frac{17}{20}[/tex]

[tex]\text{tan}F=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\text{tan}F=\frac{\sqrt{111}}{17}[/tex]

Choose the correct option.

Zachary's art club ordered a giant sub sandwich for a party. It was 6 feet long! When the sandwich arrived, Zachary cut it into 16 equal pieces.
How long was each piece?
Write your answer as a proper fraction or mixed number.

Answers

Answer:

3/8 feet long

Step-by-step explanation:

Find how long each piece was by dividing 6 by 16:

6/16

Simplify this by dividing each number by 2:

6/16

= 3/8

So, each piece was 3/8 feet long

Is the graph increasing, decreasing, or constant

Answers

Is there supposed to be a graph

Find the roots of the equation x^2 + 16 = 0.

Answers

Answer:

+4 and -4

Step-by-step explanation:

x² + 16=0

x=-√16

x=-4 or +4

The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the
height of the water in the pool?
Height of Water in a Pool
Time
(min)
2
4
6
8
10
Height
(in.)
8
12
16
20
24
The height of the water increases 2 inches per
minute.
The height of the water decreases 2 inches per
minute.
The height of the water was 2 inches before any
water was added.
The height of the water will be 2 inches when the
pool is filled.

Answers

Answer:

Step-by-step explanation:

Slope is the rate of change. For us, this rate of change is inches of water per minute. If this rate of change is 2/1, that means that the rate is changing 2 inches every minute (aka The height of the water increases 2 inches per minute, first choice in your list of possibilities).

WOrth 10 pts ... pls help

Answers

With what give more detail and explanation and I’ll help

Jul 02, 10:37:22 AM
Drag the numbers below to put them in order from least to greatest:
9.58 9.558 9.62 9.7 9.691 9.592

Answers

Answer: 9.558, 9.58, 9.592, 9.62, 9.691, 9.7

Step-by-step explanation:

Answer:

9.7 9.58 9.62 9.558 9.592 9.691

Find the equation of a quadratic function in general form whose graph has points: (-2, 3) (0, 3) and (-4,-5).

Try your best to show complete work & explain your strategy.

Answers

Answer:

-x²-2x+3

Step-by-step explanation:

The first thing I noticed is that the first and second point has the same y intercept despite being only 2 x coordiantes away. This must mean that the vertex's x coordiante is probably (-1,4)

Because the vertex is probably (-1,4) the graph must also be concave down because the point (-4,-5) is below it

writing this in vertex form we get

-a(x+1)²+4

Where a is some constant

solve for a by plugging in (0,3)

3= -a(0+1)²+4

3= -a+4

-1= -a

a=1

therefore the equation looks like

-(x+1)²+4

expanding this so that it's in stantard form...

-(x²+x+x+1)+4

-x²-2x+3

which is the final answer

Pls answer it with explanation

Answers

Answer:

x=24 y=131

Step-by-step explanation:

it is right answer

Answer:

x = 24, y = 131

Step-by-step explanation:

The sum of the 3 angles in Δ ABC = 180°

Sum the 3 angles and equate to 180

72 + 35 + 25 + 2x = 180 , that is

2x + 132 = 180 ( subtract 132 from both sides )

2x = 48 ( divide both sides by 2 )

x = 48

--------------------------------------------

Similarly in the lower triangle

25 + x + y = 180

25 + 24 + y = 180

49 + y = 180 ( subtract 49 from both sides )

y = 131

helppppppppppppp plzzzzz

Answers

the answer is in the picture

the school is located 0.8 miles west of willows house the park is 1.5 miles north what is the distance between willows house and the park

Answers

Answer:

0.7

Step-by-step explanation:

1.5 - 0.8 = 0.7 :)) hope u get it right!!!

The distance between the school and the park will be 0.7 miles.

What is the distance?

Distance is defined as the length between the two points just like in the question it is the length between the school and the park.

Given that:-

The school is located 0.8 miles west of willows house The park is 1.5 miles north

The distance will be calculated as:-

Distance   =   1.5   -   0.8   =   0.7 miles  

Therefore the distance between the school and the park will be 0.7 miles

To know more about distance follow

https://brainly.com/question/2854969

#SPJ2

Evaluate (3n+2) -10 when n=3 !!!!

Answers

Hello!

(3n + 2) - 10 =

= (3 × 3 + 2) - 10 =

= (9 + 2) - 10 =

= 11 - 10 =

= 1

Good luck! :)

[tex]\displaystyle\bf (3n+2) -10 \ if \ n=3\Longrightarrow 3\cdot3+2-10=11-10=\boxed{1}[/tex]

Students were asked to choose their favorite season. If 2/9 of the students
chose spring and 5/9 chose summer, what fraction chose either spring or
summer?

Answers

Answer:

7/9

Step-by-step explanation:

2/9+5/9=7/9

Circle W has a radius of 20 in and right central angle, ZVWX. Find the length of vx. Leave your answer in terms of pi.
5
10
15
20

Answers

Answer:

The length of the arc is 10 pi

Step-by-step explanation:

Mathematically, the length of an arc is calculated as;

theta/360 * 2 * pi * r

theta represents the central angle subtended by the arc which is a right angle according to the question (a right angle is 90 degrees)

r is the circle radius which is 20 inches

so we have the length of the arc as;

90/360 * 2 * pi * 20 = 40 pi/4 = 10 pi

Simplify:
a.5³×5‐²×5⁴.
b.a⁴×a‐²×x³.
c.(x⁵)²×(y⁵)³
__________
(x³)³×(y²)²

Answers

Answer:

a. 125 * 0.04 * 625 = 5 * 625 = 3125

b. a^2 * x^3

c. x^10 * x^ y^15

Last one: x^9 * y^4

Step-by-step explanation:

Because yes.

15< 4 + x
O A. x>11
O B. X> 19
O C. x< 19
O D. x< 11

Answers

Answer:

A. x>11

Step-by-step explanation:

15 < 4 + x

take 4 to the LHS this becomes 15 - 4 < x

•°• 11 < x

< means less than

Therefore x is greater than 11

x > 11

Other Questions
Today, beach towns are popular tourist resorts. However, until a couple of hundred years ago, the seacoast was a place of danger. People stayed away from the coast because they feared capture by pirates or slave-raiders. In fact, many of the places we might like to go to in order to get away on vacation were once feared and avoided. Have you ever daydreamed of being stranded on a tropical island? That was once no daydream, but a terrible punishment for sailors found guilty of mutiny. What is the main pattern of organization?A) comparison and/or contrastB) definition and exampleC) no sense of organizationD) cause and effect What is the range of the function f(x)=3/4 (x) -3 Really struggling with these problems please help!Solve.[tex] \sqrt{10y + 24} - 3 = y + 1[/tex] Solve the following system of equations algebraically. y=2x-12y=x+22+3 the basic structural and functional unit of the living organism is During 2020, Morefield Building Company constructed various assets at a total cost of $14,700,000. The weighted average accumulated expenditures on assets qualifying for capitalization of interest during 2020 were $10,700,000. The company had the following debt outstanding at December 31, 2020:1. 10%, 5-year note to finance construction of various assets, dated January 1, 2020, with interest payable annually on January 1 $6,300,0002. 12%, ten-year bonds issued at par on December 31, 2014, with interest payable annually on December 31 7,000,0003. 9%, 3-year note payable, dated January 1, 2019, with interest payable annually on January 1 3,500,000 Instructions:Compute the amounts of each of the following (show computations).1. Avoidable interest. 2. Total interest to be capitalized during 2020. Why did Reagan argue that the us should invade Grenada in 1983 write a letter to your foreign friend about the cultural heritage of Nepal. Long answer.Please help me I will give you brainlist please The largest angle in a triangle is six times the smallest angle. The middle angle is three times the smallest angle. Given that the sum of the angles in a triangle is , find the measure of each angle. Can somebody help me with world history ? Read the following descriptions and identify the type of risk or term being described:a. This type of risk relates to fluctuations in exchange rates. b. This type of risk is inherent in a firms operations. A standard measure of the risk per unit of return. This can be used to reduce the stand-alone risk of an investment by combining it with other investments in a portfolio.c. A standard measure of the risk per unit of return d. This type of risk relates to fluctuations in exchange rates the question please i need help Please help i have exam tom. Is it better to use graphite or carbon electrodes during electrolysis if I am trying to investigate volume of gas produced ? Is this sentence: "It'll arrive unassembled" correct in grammar? I thought it should be adv instead of adj, I mean the world "unassembled" is an adj in this sentence.Thanks for helping me. it is known that the population proton of utha residnet that are members of the church of jesus christ 0l6 suppose a random sample of 46 selceted and prioon of the sample that belongs to the churh is calcutated what is the problaity of obtaining a sample priton less than 0;50 g identify the largest value in fraction 3/4, 1/2, 3/5 the area of the room is 234 square feet. the length of the room is 18 feet. what is the width, in feet, of the room? how did the work of the tennessee valley authority most significantly impacted the lives of rural southerners during the great depression What is the system of equations shown in the graph