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

Find the interior angle sum for the following polygon

Answers

Answer:

360/ 5 is the answer

Step-by-step explanation:

follow me and please follow me

Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less than the sum if the other two

Answers

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

The cars get miles to the gallon. After the car has traveled miles. 2 2/3 gallons of gas has been consummed

Answers

Answer:

80 miles

Step-by-step explanation:

Please find attached the graph used in answering this question

On the graph, the distance travelled is on the vertical axis while the gallons consumed in on the horizontal axis

from the graph, the following can be deduced :

0 gallons is consumed when the car travels 0 mile

1 gallon is consumed when the car travels 30 miles

2 gallons is consumed when the car travels 60 miles

total mile travelled when the gallons consumed is : 2 2/3 x 30

8/3 x 30 = 80 miles

HELPPP MEE PLEASE!!!
Consider the function shown on the graph.

Answers

Answer:

Domain x ≥ - 5

Range y ≥ - 2

Step-by-step explanation:

x ≥ - 5

y ≥ - 2

Fill in each box with the probability of the event that it represents. The following questions can be answered using your area model.
pleeeeaaseee help!!!!

Answers

Answer:

[tex]a. \ \dfrac{1}{36}[/tex]

[tex]b. \ \dfrac{4}{9}[/tex]

[tex]c. \ \dfrac{5}{6}[/tex]

Step-by-step explanation:

The given probabilities are; P(Orange) = 1/3, P(Blue) = 1/6, P(Purple) = 1/2

The probability of rolling any of the six numbers of the six-sided die = 1/6

a. The probability of simultaneously 'rolling a 3' and 'spinning blue', P(3 and Blue) is given as follows;

P(rolling a 3) = 1/6, P(Blue) = 1/6

∴ P(3 and Blue) = (1/6) × (1/6) = 1/36

P(3 and Blue) = 1/36

[tex]P(3 \ and \ Blue) = \dfrac{1}{36}[/tex]

b. The probability of either 'rolling a 1' or 'spinning Orange', P(1 or Orange), is given as follows;

P(rolling a 1) = 1/6, P(Orange) = 1/3

P(1 or Orange) = P(rolling a 1) + P(Orange) - P(1 and Orange)

Where;

P(1 and Orange) = (1/6) × (1/3) = 1/18

∴ P(1 or Orange) = 1/6 + 1/3 - 1/18 = 4/9

P(1 or Orange) = 4/9

[tex]P(1 \ or \ Orange) = \dfrac{4}{9}[/tex]

c. The probability of not spinning a blue, P(not Blue) is given as follows;

P(not Blue) = P(rolling all outcomes of the die) and (The sum of the spin probabilities - P(Blue)

∴ P(not Blue) = 1 × ((1/3 + 1/6 + 1/2) - 1/6) = 1 × (1 - 1/6) = 5/6

P(not Blue) = 5/6

[tex]P(not \ Blue) = \dfrac{5}{6}[/tex]

nick was scuba diving at -32 1/2 feet if he descends another 8 3/5 feet what is his location ?

Answers

Answer:

-41 1/10

Step-by-step explanation:

subtract the two numbers may i get brainliest plz

This is a really simple fraction problem. All we have to do is realize that, because he is descending, the [tex]8\frac{3}{5}[/tex] is actually negative, so we get [tex]-32\frac{1}{2}-8\frac{3}{5}=-41\frac{1}{10}[/tex] which can also equal -41.1

Please help, the question is in the picture

Answers

Answer:

per = 18a         7a+2a+7a+2a

area = 14 [tex]a^{2}[/tex]      7a*2a

Step-by-step explanation:

Answer:

(i) 18a

(ii) 14[tex]a^2[/tex]

Step-by-step explanation:

i: 7a+7a+2a+2a

      14a+4a

         18a

ii: 7a*2a

     14a2

I hope this helps!

Rhonda walked diagonally across a rectangular playground with dimensions 60 m by 45 m. She started at point C. Determine the angle, to the
nearest degree, between her path and the longest side of the playground.
B
45m
D
60 m

Answers

Answer:

37degrees

Step-by-step explanation:

In order to get the required angle, we will use the SOH, CAH, TOA identity.

Let;

Adjacent = 60m

Opposite = 45m

According to TOA:

tan theta = opp/adj

tan theta = 45/60

tan theta = 0.75

theta = arctan 0.75

theta =  36.86

Hence the  angle, to the  nearest degree, between her path and the longest side of the playground is 37degrees


A survey was taken of students in math classes to find out how many hours per day students spend
on social media. The survey results for the first., second-, and third-period classes are as follows:
First period: 2,4,3,1,0, 2, 1, 3, 1,4,9,2,4,3,0
Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Third period: 4,5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1,3
Which is the best measure of center for second period and why? (5 points)
1. Mean, because there are no outliers that affect the center
2. Median, because there is 1 outlier that affects the center
3. Interquartile range, because there is 1 outlier that affects the center
4. Standard deviation, because there are no outliers that affect the center

Answers

Answer:

1. Mean, because there are no outliers that affect the center

Step-by-step explanation:

Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2

Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

The mean = ΣX / n

n = sample size, n = 15

Mean = 34 / 15 = 2.666

The median = 1/2(n+1)th term.

1/2(16)th term = 8th term.

The 8th term = 2

The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.

Both interquartile range and standard deviation are measures of spread and not measures of centre.

Select the correct answer.

Which equation matches the function shown in the graph?

Answers

Answer:

D. y = cos(4x)

Step-by-step explanation:

The graph passes through the points y = 0 and x = 3π/8

So you solve x = 3π/8 into 4 answers, which is equal to 0 is the correct answer.

The mean age of 5 women in an office is 35 years old.
The mean age of 5 men in an office is 24 years old.
What is the mean age (nearest year) of all the people in the office?

Answers

Answer:

29.5

Step-by-step explanation:

(5×35)+(5×24)/10

175+120/10

295/10

=29.5

6.05kg, expressed in kilograms and grams​

Answers

Answer:

6.05 kg, 6050 grams

Step-by-step explanation:

The kilograms were already given in your question, so that's one half done.

1 kilogram is equivalent to 1000 grams. If we multiply 6.05 by 1000, then you get 6050, the measurement in grams.

HELP ASAP!!!!!
thanksssssss

Answers

Answer:

[tex]9(c+5)=9c+45[/tex]

Step-by-step explanation:

Multiply 9 by the variable and the number

instruction Find m<LMN​

Answers

Answer:

∠ LMN = 70°

Step-by-step explanation:

The tangent- secant angle LMN is half the difference of the measures of the intercepted arcs, that is

∠ LMN = [tex]\frac{1}{2}[/tex] (NK - NL) = [tex]\frac{1}{2}[/tex] (210 - 70)° = [tex]\frac{1}{2}[/tex] × 140° = 70°

Help help help help help

Answers

0 and 4 are the answers

Answer: 0 and 4

Step-by-step explanation:

Can anyone help pls :)? Thank you

Answers

Answer: 6

Explanation: The EXACT calculation would be 5.9215.. so the closest approximation would be
6, as it's only about .08 -ish away from 6.

Answer:

It's D:5.3

Step-by-step explanation:

√28 =5.29

Round off therefore is 5.3

Circle experts...help! will give brainly to most detailed answer

Answers

Answer:

IU=161

Step-by-step explanation:

Angle Formed by Two Secants=  1/2 (difference of Intercepted Arcs)

42 = 1/2 (7m+5 - (3m-1))

Distribute the minus sign

42 = 1/2 (7m+5 - 3m+1))

Combine like terms

42 = 1/2 ( 4m+6)

Distribute the 1/2

42 = 2m+3

Subtract 3 from each side

42-3 = 2m+3-3

39 = 2m

Divide by 2

19.5 = m

The sum of the arcs = 360

IU+ 3m-1 + 7m+5 = 360

IU +10m+4 = 360

IU +10(19.5) +4 = 360

IU +195+4 = 360

IU = 360 - 199

IU=161

Whoever can answer this question gets 100 Points!!!!!!!

question: What is 2 + 2 - 1

Answers

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Solve for x. Round all answers to the nearest tenth.

Answers

Answer:

4.6

Step-by-step explanation:

tan(75) = 17/x

x = 17/tan(75)

x = 34-17√3

x = 4.6

Answered by GAUTHMATH

In a cinema hall a total of 215 tickets were sold. Some were sold at $8 and others at $12. If the total amount collected was 2180, how many $8 tickets were sold​

Answers

Answer: 100 tickets.

Step-by-step explanation:

Number of $8 tickets sold = xNumber of $12 tickets sold = y

Set up two equations: one representing total amount sold and another representing total dollars earned.

[tex]\left \{ {{x+y=215} \atop {8x+12y=2180}} \right.[/tex]

Rearrange x + y = 215 and find the value of x:

[tex]x+y=215\\x=215-y[/tex]

Substitute it into the other equation and solve for y:

[tex]8x+12y=2180\\8(215-y)+12y=2180\\1720-8y+12y=2180\\4y=2180-1720\\4y=460\\y=\frac{460}{4} =115[/tex]

Substitute in the y-value to the other expression to find x:

[tex]x+y=215\\x+115=215\\x=215-115=100[/tex]

Therefore, they sold 100 of the $8 tickets.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Find the distance between (0,3) and (0,-6).
A. 9
B. -9
C. -3
D. 0

Answers

The correct answer would be option B or -9

HELPPP PYTHAGOREAN THEOREM

Answers

Answer:

60

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2+25^2 = 65^2

a^2 +625 = 4225

a^2 = 4225-625

a^2=3600

Taking the square root of each side

sqrt(a^2) = sqrt(3600)

a = 60

Answer:

Step-by-step explanation:

Hypotenuse: 65

Leg: 25

Let Hypotenuse be c, and leg be a

[tex]a^{2}[/tex] + [tex]b^{2} = c^{2}[/tex]

[tex]a^{2} + 25^{2} = 65^{2}[/tex]

[tex]a^{2} + 625 = 4225\\[/tex]

[tex]a^{2}[/tex] = 4225 - 625

[tex]a^{2}[/tex] = 3600

3600 is the exponential value of a, meaning we need to apply the opposite of squaring to get the value of b. Which is square rooting.

a = [tex]\sqrt{3600\\}[/tex]

a = 60

Therefore a is equal to 60 feet

PLSSSS HELP ME!!!!! I HAVE A TEST IN THE MORNING WHOEVER ANSWERS CORRECTLY GETS BRAINLIEST!

1. How would we name the polynomial below? Think about degree and number of terms.
x^4 + 3x^2 - x


2. Simplify by adding
(x + 4) + (2x + 7)


3. Multiply
3x^2(5x^3)


4. Divide
8x^3y^5 / 4x^2y^3

Answers

Answer:

2. 3x + 11

3. 15x^5

Step-by-step explanation:

2. Simplify by adding

(x + 4) + (2x + 7)

= x + 4 + 2x + 7

= 3x + 11

3. Multiply

3x^2(5x^3)

= 3 (5x^2 x^3)

= 3 (5x^2+3)

= 15x^5

For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).

-7x + 8, -12x + 12, -17x + 16, . . .

Possible anwers:
-5x + 4
5x + 4
-5x - 4
5x-4

Answers

Answer:

The first one is the answer.

Step-by-step explanation:

It's an arithmetic sequence. It has a common difference.

d = an - a_n-1

an = -12x + 12

a_n-1 = - 7x + 8

d = -12x + 12 - (-7x + 8)

d = -12x + 12 + 7x - 8

d = -5x + 4

Try  it. Let's try for the third term

-12x + 12 - 5x + 4

- 17x + 15 which is exactly what the third term is.

Find the volume of a cone with radius 10 feet and height of 4 feet.

Answers

Answer:

[tex]\frac{400}{3} \pi[/tex]

Step-by-step explanation:

Formula for Cone: π[tex]r^{2}\frac{h}{3}[/tex]

Since we have all the components, we can find the volume of the cone.

R = 10

H = 4

π[tex]10^{2}\frac{4}{3}[/tex]

10×10 = 100

100π[tex]}\frac{4}{3}[/tex]

[tex]}\frac{4}{3}[/tex]×100

4       100          400

---  ×   -----    =    ------

3          1              3

Answer: [tex]\frac{400}{3} \pi[/tex]

Hope this helped.

Given :

Find the volume of a cone with radius 10 feet and height of 4 feet.

Solution :

Given Data :

Radius = 10 feet

Height = 4 feet

Formulae :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \blue{ \underline{ \overline{ \green{ \boxed{ \frak{{ \sf V}olume_{(Cone)} = \pi {r}^{2} \frac{h}{3}}}}}}}[/tex]

Putting the values we get

[tex] \frak{ Volume_{(Cone)} = 3.14 × (10)² × \frac{4}{3} }[/tex]

[tex] \frak{Volume_{(Cone)} = 3.14 × 100 × \frac{4}{3} }[/tex]

[tex] \frak{Volume_{(Cone)} = 314 \times \frac{4}{3} }[/tex]

[tex] \frak{Volume_{(Cone)} = 418.67 \: ft³ }[/tex]

Henceforth, the volume is 418.67 ft³

A fair spinner has 10 equal sections: 3 red, 3 blue and 4 green.
It is spun twice.
What is the probability of getting 2 different colours?

Answers

Answer:

11/30

Step-by-step explanation:

Please help!

This is a part 2 of a question, I found the first one and couldn’t find the second one. These are from edginuity. If you guys need the first part lmk.

Answers

Answer:

The vertical line test is basically a way to determine whether or not a graph is a function.  All three of the options are accurate, so I would select all three.

Let me know if you have any other questions!

Solve for x.
x = [?]
5x – 16
X + 10

Answers

Answer:

If it is expression than answer 6x-6

If it is an equation 5x-16=x+10 than answer is 13/2

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

[tex]\\ \sf \longmapsto 5x-16=x+10[/tex]

[tex]\\ \sf \longmapsto 5x-x=10+16[/tex]

[tex]\\ \sf \longmapsto 4x=26[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{26}{4}[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{13}{2}[/tex]

(10^2+8^2+6^2+4^2+2^2)- (9^2+7^2+5^2+3^2+1^2)

Answers

55

you know you can just use a calculator or a search engine for that, right?

Answer:

i got 69 it should be right

Step-by-step explanation:

A restaurant is ordering vegetables for the upcoming week. Potatoes are shipped in 30-pound bags and onions are shipped in 5-pound bags. If the restaurant receives 1,800 pounds of potatoes and onions and there are 25 more bags of potatoes than bags of onions, how many pounds of onions are received?​

Answers

Answer:

525 pound of onions were recieved

Step-by-step explanation:

1 bag of potatoes: 30 pounds

total pounds of potatoes and onions received= 1800

let the total pounds of onions received be x,

25 bags of potatoes = 25 × 30= 750 pounds

now according to the question,

x + x + 750= 1800

2x = 1800 - 750

x= 1050 ÷ 2

x= 525

Note: plz correct me if I am wrong somewhere

The restaurant receives 150 pounds of onions.

How to determine pounds of onions received

Let's assume the number of bags of onions is "x". According to the problem, there are 25 more bags of potatoes than bags of onions, which means the number of bags of potatoes is "x + 25".

The weight of each bag of potatoes is 30 pounds, so the total weight of potatoes is 30(x + 25) pounds.

The weight of each bag of onions is 5 pounds, so the total weight of onions is 5x pounds.

According to the problem, the restaurant receives 1,800 pounds of potatoes and onions in total. We can set up the following equation based on this information:

30(x + 25) + 5x = 1800

Simplifying the equation:

30x + 750 + 5x = 1800

35x + 750 = 1800

35x = 1800 - 750

35x = 1050

Dividing both sides by 35:

x = 1050 / 35

x = 30

Therefore, the restaurant receives 30 bags of onions.

To find the weight of onions, we can substitute the value of x into the expression for the weight of onions:

Weight of onions = 5x = 5 * 30 = 150 pounds

Therefore, the restaurant receives 150 pounds of onions.

Learn more about Weight  at

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