Alr help me on this one.

Steve wants to download a selection of new music. How many ways can Steve select three rock songs, four alternative songs, and t

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Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the <em>combination formula</em> is used to solve this question.

<h3>What is the combination formula?</h3>

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

For the rock songs, we have three from a set of eleven, hence:

$C_{11,3} = \frac{11!}{3!8!} = 165$

For the alternative songs, we have four from a set of five, hence:

$C_{5,4} = \frac{5!}{4!1!} = 5$

For the rap songs, we have three from a set of four, hence:

$C_{4,3} = \frac{4!}{3!1!} = 4$

Since the songs are independent, the total number of ways is given by:

$T = 165 \times 5 \times 4 = 3300$

More can be learned about the combination formula at brainly.com/question/25821700

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You deposit $750 into a savings account Thats pays 2.75% simple interest for 4 years. How much interest was earned?

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24, 12,6,...<br> Find the 8th term.

Zinaida [17]

Answer:

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Step-by-step explanation:

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3 years ago

3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round

Mariana [72]

The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone : $V=\pi r^{2} \frac{h}{3}$ = $3.14 \times 9^{2} \times \frac{14}{3}$ = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³).