Can somebody go answer my last question i just posted plss i got 4min left or it gets closed

Mathematics

1 answer:

KengaRu [80]4 years ago

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DJ Ali is making a playlist for a friend; she is trying to decide what 9 songs to play and in what order they should be played.

Wewaii [24]

Answer:

1.637 x 10¹⁴ different playlists

Step-by-step explanation:

Since DJ Ali needs to choose 9 songs and wishes that the number of blues, country and jazz songs are the same, she needs to pick 3 songs of each type. The total number of ways she can choose the songs, without considering their order is:

$N_{songs} =C(16,3)*C(23,3)*C(15,3)\\N_{songs} =\frac{16!}{(16-3)!3!}*\frac{23!}{(23-3)!3!}*\frac{15!}{(15-3)!3!}\\N_{songs} = 451,250,800$

The number of possible ways of ordering those nine song is:

$N_{ways} = 451,250,800*P(9,9)\\N_{ways} = 451,250,800*\frac{9!}{(9-9)!}\\N_{ways} =1.637*10^{14}$

There are 1.637 x 10¹⁴ different possible playlist.

4 0

3 years ago

-25 Points-

Nesterboy [21]

Answer:

Step-by-step explanation:

If a figure A and a figure B are similar, then

$\dfrac{area_A}{area_B}=k^2$ (*)

<em>k</em><em> - similarity scale</em>

<em />

Calculate the similarity scale:

$k=\dfrac{6}{5}$

We have the surface area of the smaller prism 572 m².

Substitute to the formula (*):

$\dfrac{x}{572}=\left(\dfrac{6}{5}\right)^2\\\\\dfrac{x}{572}=\dfrac{36}{25}\qquad\text{cross multiply}\\\\25x=(36)(572)\\\\25x=20,592\qquad\text{divide both sides by 25}\\\\x=823.68\approx823.7\ m^2$