HELP!!!

Mrs. Nestler enjoys listening to classical music. She has the following audio CDs by her favorite composers in her collection: 4 by Bach, 6 by Beethoven, 3 by Brahms, and 2 by Handel. If she selects 4 CDs randomly from her collection without replacing them, what is the probability that she will choose one by each composer?

A. 16/5625
B. 16/455
C. 2/5625
D. 2/455
(The answer choices, A, B, C, and D are FRACTIONS!)

Answers

Answer 1

Using the combination formula, it is found that the probability that she will choose one by each composer is given by:

144/1365.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, she will pick 4 CDs from a set of 4 + 6 + 3 + 2 = 15, hence the total number of options is given by:

[tex]C_{15,4} = \frac{15!}{4!11!} = 1365[/tex]

The number of options that include one from each is given by:

N = 4 x 6 x 3 x 2 = 144.

Hence the probability is given by:

p = 144/1365.

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Related Questions

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Answers

The product of the expression [tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1}[/tex]  is the expression [tex]\frac{2}{k+2}[/tex]

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the expression:

[tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1} \\\\This\ can\ be\ simplified\ to:\\\\(\frac{2(2k+1)(k-2)}{(k+2)(k-2)(2k+1)}) \\\\=\frac{2}{k+2}[/tex]

The product of the expression [tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1}[/tex] is the expression [tex]\frac{2}{k+2}[/tex]

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1) x2 + 5x + 4 = 0
a =
b=
C =
vb2 - 4ac =
-

Answers

[tex]\text{Compare}~ x^2 +5x +4=0~ \text{with the standard form of quadratic equation}~ \\\\ax^2 +bx +c =0\\\\a=1\\\\b=5\\\\c=4\\\\\sqrt{b^2 -4ac} = \sqrt{5^2 -4 \cdot 1 \cdot 4} = \sqrt{25 -16} = \sqrt{9} =3[/tex]

Explanation would be appreciated but not needed.​

Answers

Perimeter is the outline of a closed shape.you calculate perimeter by adding the lengths of all the sides.

Add and simplify your answer. Show your work 1 / 8 + 1 / 8

Answers

Answer:

1/4.

Step-by-step explanation:

1/8 plus 1/8 is 2/8. This is because if we add the numerators it is 2, and therefore it is 2/8. This simplifies to 1/4 if you divide the numerator and denominator by 2. Hope this helps!

Answer: 1/4

Step-by-step explanation: 1/8 + 1/8= 2/8 and if you simplify that it would be 1/4 sorry if this doesn't help

PLEASE HELP!!
How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

Answers

Answer: [tex]No~Solution[/tex][tex]s[/tex]

Step-by-step explanation:

Let's factor then solve to find the complex solutions.

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : [tex]-4x-11=2(x-3x)+13[/tex]

Equations that are never true:

[tex]1.1 ~~~~ Solve : -24 = 0[/tex]

This equation has no solution.

A non-zero constant never equals zero.

Therefore your answer is [tex]No~Solution[/tex]

how many solution does 8m=-48 have​

Answers

Answer:

1 solution

Step-by-step explanation:

8m = - 48 ( divide both sides by 8 )

m = - 6 ← is the only solution

Which prism can be made using the net shown below?

A. triangular prism

B. Triangular prism


Cube


C. Triangular pyramid


D. Rectangular prism

Answers

Answer:

A or B because it is the same aswner

Step-by-step explanation:

Answer:a

Step-by-step explanation:


In a sale, a shop reduces all its prices by 10%.
On the last day of the sale, the shop reduces the sale prices by 20%
On the last day of the sale, a mobile phone costs £432
How much was the mobile phone before the sale?

Answers

Answer:

The phone roughly cost 302 dollars

Step-by-step explanation:

10% of 432=43.2

20% of 432=86.4

432-129.6=302.4

Which equation describes the circle
with center (5,-1) and radius 7?

Answers

Answer:

B

Step-by-step explanation:

circle equation is :

[tex](x - a) ^{2} + (y - b) ^{2} = r^{2} [/tex]

With (a) being the x coordinate of the centre and (b) being the y coordinate of the centre, r is the radius;

make sure to square the radius when using it in this formula

simplify 3(6-3) -2x2 + 15 /5

Answers

Answer:  [tex]\frac{3(6-3)-2x^{2}+15 }{5} : \frac{-2x^{2}+24 }{5}[/tex]


You're welcome.

Find the gradients on the lines a and b ( I already got b.)

Answers

Answer:

a=3

Step-by-step explanation:

gradient = rise /run

   for a  =6/2 =3

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. How many more calories from fat are provided by a 100- calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels?​

Answers

Answer:

50 calories

Step-by-step explanation:

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:

= 90/150 = 3/5

One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:

= 12/120 = 1/10

The fat that are provided by a 100 calorie serving of the microwave popcorn would be:

= 3/5 × 100

= 60

The fat that are provided by a 100-calorie serving of the pretzels would be:

= 1/10 × 100 = 10

The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:

= 60 - 10

= 50 calories

Of all the students at a high school, 54% are in band and play sports. 78% of all students at the high school play sports. Find the probability that a student is in band given that the student plays sports. Round your answer to the nearest tenth.

A. 42.1%
B. 6.9%
C. 1.4%
D. 69.2%

Answers

Answer:

A. 42.1%

Step-by-step explanation:

Answer 42.1%
Explaination: yes

Will someone help me with this

Answers

hope this helps :)

.........

What is the length of DE?

Answers

Answer:

D. 6

Step-by-step explanation:

Suppose the triangles are similar:

The side lenghts would be proportional as follows

XZ/DF = XY/DE

12/8 = 9/x cross multiply expressions

12x = 72 divide both sides by 12

x = 6

Find the value of x in the parallelogram below

Answers

Answer:

x=18

Step-by-step explanation:

we know that in parallelogram opposite sides are equal

Hence on equating we get

x=18

Sadie earns $10.50 per hour. Do her earnings vary inversely or directly with her number of hours worked? Determine how many hours she worked in a week if her earnings were $210.

Answers

Sadie's earnings varys directly with the number of hours worked.

The number of hours worked in a week where her earnings would be $210 is 20 hours.

What is direct variation?

Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases. Sadie's earnings increase with hours worked. This is a direct variation.

How many hours would be worked when earnings is 210?

Hours worked = Total earnings / earning per hour

210 / 10.50 = 20 hours

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PLEASE PLEASE PLEASE PLEASE HELP ME WITH THISSSSS

Answers

In ∆DAC and ∆BCA

Diagonals of a parallelogram bisect each other

AE=ECDE=EB

Opposite angles are equal

<ABC=<ADC

Also

AE is common side

And

Opposite sides are equal in a parallelogram

AD=BC

So by Side-angle-side similarity

Both triangles are equal

Hence

<DAC=<BCA(Proved)

Let p be the population proportion for the following condition. Find the point estimates for p and q. In a survey of 1170 adults from country​ A, 265 said that they were not confident that the food they eat in country A is safe.

Answers

Answer:

yes

Step-by-step explanation:

lol

A tiny house has a length of 12 feet. the width of the kitchen is 9 feet ad the width of the bathroom is 3 feet.

Answers

Answer:

So i think it woulds be a 12 by 12 house beceasue 9+3=12 so it would be 12 by 12

Hope This Helped Sorry if It Is Not What You Wanted.

Answer:

144 ft ²

Step-by-step explanation:

Given:

A tiny house has a length of 12 feet. the width of the kitchen is 9 feet ad the width of the bathroom is 3 feet.

Solve:

The expression 12(9+3) represents the total area in square feet.

Hence you can use the expression 12(9+3) to find the area.

12(9+3)        {Solve in the parentheses}

12(12)           {Multiply}

= 144

Hence, the area is 144 ft ²

Kavinsky

Andrea invites some of her relatives to a party she invites 12 cousins,6 aunts, 4 brothers and 2 sisters which group of relatives makes up 25% of her guests?

Answers

Answer:

the 6 aunts

Step-by-step explanation:

because all of them together add up to 24. 25 percent of 24 is 6.

HELPPPP MEEEEEE!!!!!

Answers

I hope this can help you

Enter a range of values for x.
a
a
3x-90 939
26
27
[?]

Answers

Answer:

3<x<34

Step-by-step explanation:

(Big side to big angle)

Solution: 27>26 => 93°>3x - 9°

102°>3x

34>x

HOPE THIS HELPS AND HAVE A NICE DAY <3

urgent!! Write a number that is greater than -7.81 and less than -7 .

Answers

Answer:

-7.6

Step-by-step explanation:

there are many correct answers for this problem

The number that is greater than -7.81 and less than -7 is -7.41. This can be written as -7.81 < -7.81 < -7. This is obtained by taking the midpoint or middle integer of the given integers.

How to find integers between two integers:Firstly add the two integers with respect to their signThen divide the result by 2. that is nothing but taking its average.This results in the integer which is in between the given integers.

Calculation:

Given that a number that is greater than -7.81

so, we can write -7.81 <?

And it is also given that the same number which is less than -7. we can write it as -7 >?

So, from this two we can state that the number which is required lies in between the given two integers.

so, we can write -7.81 <?< -7

To find this, we are applying the average for the two integers.

⇒ -7.81 - 7 = -14.81

⇒ -14.81/2 =-7.405 ≅ -7.41

The obtained number satisfies the given conditions

-7.81 < -7.41 and -7 > -7.41

Therefore, the required number is -7.41.

Learn more about integers here:

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Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers.

Use the drop-down menus to complete the statements below about the number of bags Lucia can make.

Answers

She could put 6 markers and 8 stickers in each bag to make 8 bags in total.

Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their ages is 92. Witch could be used to find Hannah's age, h if she is the older sibling?

Answers

Answer:

The equation to find Hannah's age is  2h - 2 = 92.

This yields Hannah's age as 47 years.

Step-by-step explanation:

Let h = Hannah's age.

Hannah is older than her sibling, and their ages are consecutive odd integers. Therefore, h = an odd number and the sibling's age =  h-2.

The sum of their ages is 92, therefore

h + (h-2) = 92

2h - 2 = 92

2h = 94

h = 47 years

If x is a positive integer and y is a negative integer,which of the following comparisons must be true?

Answers

Answer:

  C.  x - y > x

Step-by-step explanation:

You can compare the values of these expressions by using numerical values for x and y.

__

We can let x = 1 (a positive integer), and y = -1 (a negative integer).

A

  y > x + y

  -1 > 1 + (-1)

  - 1 > 0 . . . . . . false

B

  y < xy

  -1 < (1)(-1)

  -1 < -1 . . . . . . false

C

 x - y > x

  1 - (-1) > 1

  2 > 1 . . . . . . true

D

  -xy < x

  -(1)(-1) < 1

  1 < 1 . . . . . . . false

Collect like terms
6xy - xy - 5x + x

Answers

5xy - 4x

Step-by-step explanation:

6xy-xy= 5by

-5x+ x= -4x

Hey there!


6xy - xy - 5x + x

= 6xy - 1xy - 5x + 1x

COMBINE the LIKE TERMS

= (6xy - 1xy) - (5x + 1x)

= 6xy - 1xy - 5x + 1x

= 6xy - xy - 5x + x

= 5xy - 4x


Therefore, the answer should be:

5xy - 4x


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

State the domain and range of: y = arcsin (x²)​

Answers

Answer:

Domain is -1 ≤ x ≤ 1.

Range is  0 ≤ y ≤ π/2.

Step-by-step explanation:

The  arcsin only exists for  -1 ≤ x ≤ 1 so this domain is

-1 ≤ x ≤ 1.

When x = 1 or -1 ,  y =  arcsin(1^2) = π/2

When x = 0 , y = 0.

sean has a total of 60 books on his book shelf of these, 25 are mystery books, 20 are fantasy books, 10 are biography books, and 5 are science books.

Answers

Answer:

Step-by-step explanation:

total type of books are 4 types

the probability of one book is 60

so the probability of type of a book is 4/60=1/15

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