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lora16 [44]
3 years ago
14

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.
Mathematics
1 answer:
ivolga24 [154]3 years ago
4 0

Answer:

10.55% probability

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.

1 Bach CD, from a set of 4.

1 Beethoven CD, from a set of 6.

1 Brahms CD, from a set of 3.

1 Handel CD, from a set of 2.

So, D=144

4 CDs from a set of 4+6+3+2 = 15.

So, T= 1365

p= D/T= 144/1365 = 0.1055

10.55% probability that she will choose one by each composer

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What expression represents the area of the triangle​
Setler79 [48]

Answer:

The first choice

Step-by-step explanation:

Area of a triangle is 1/2x base x height

the base is 10 and height is 24

26 is the hypotenuse but it is not used in calculating the area

Hope this helps :)

5 0
3 years ago
Read 2 more answers
The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x
GarryVolchara [31]

Answer:

85.1 ft

Step-by-step explanation:

The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x

We solve using the Trigonometric function of Cosine

cos y = adjacent/hypotenuse

y = angle = 20°

Adjacent = 80 ft

Hypotenuse = ?

cos 20 = 80/Hypotenuse

Hypotenuse = 80/cos 20

x = 85.134221798 ft

Approximately = 85.1 ft

Length of the slide = 85.1 ft

3 0
3 years ago
How do you do this? Thanks for your time and effort!
V125BC [204]
Well first you have to simplify the denominators with x, by multiplying the denominator on the left times the top and bottom of the middle, and vice versa to get 10x/(4x^2-4x)-9(2x-2)/(4x^2-4x)=-1/4 and then you combine the fractions on the left to get 2(9-4x)/(4x^2-4x)=-1/4 and then you cross multiply the fractions to get 8(9-4x)=-4x^2+4x and then simplify to get 72-32x=-4x^2+4x and then 4x^2-36x+72=0 which then we can turn into 4(x-6)(x-3)=0 so x is 6 and 3
3 0
3 years ago
I’m confused on this question, please help me. (Ignore the black coloring, sorry.)
neonofarm [45]
To answer this question you will find out the total number of cupcakes donated and then calculate the amount of each flavor based on the percentage that is stated.

Here are the steps:

1. 12 x 10 x 12 (12 classes each donating 10 dozen) = 1440

2. 0.55 x 1440 (55% are chocolate) = 792 chocolate

3. 1440 - 792 (the remaining number of cupcakes)=648

4. 1/3(33 1/3%) x 648 = 216 red velvet

5. 1440 - 792 (chocolate) - 216 (red velvet) = 432 vanilla cupcakes

Chocolate-792
Red velvet - 216
Vanilla - 432

3 0
3 years ago
Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min
alina1380 [7]

Answer:

y=\frac{1}{2}x-2

Step-by-step explanation:

We have been given two points on a line (-6,-5) and (-4,-4). We are asked to write an equation passing through these points.

We will write our equation in slope-intercept form of equation y=mx+b, where,

m = Slope of line,

b = Initial value or the y-intercept.

Let us find slope of given line using slope formula.

m=\frac{y_2-y_1}{x_2-x_1}

Let point (-6,-5)=(x_1,y_1) and point (-4,-4)=(x_2,y_2).

m=\frac{-4-(-5)}{-4-(-6)}

m=\frac{-4+5}{-4+6}

m=\frac{1}{2}

Now, we will substitute m=\frac{1}{2} and coordinates of point (-6,-5) in slope-intercept form of equation as:

-5=\frac{1}{2}*(-6)+b

-5=-3+b

-5+3=-3+3+b

-2=b

Upon substituting m=\frac{1}{2} and b=-2 in slope-intercept form of equation, we will get our required equation as:

y=\frac{1}{2}x-2

Therefore, our required equation would be y=\frac{1}{2}x-2.

8 0
2 years ago
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