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vlabodo [156]
2 years ago
8

Dj Jacqueline is making a playlist for a friend: she is trying to decide what 15 songs to play and in what order they should be

played. If she has her choices narrowed down to 10 pop. 25 reggae, and 10 blues songs, and she wants to play an equal number of pop. reggae, and blues songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place
Mathematics
1 answer:
Tasya [4]2 years ago
3 0

Answer:

4.4 * 10^21

Step-by-step explanation:

Given :

Number of pop, n(p) = 10

Number of reggae, n(r) = 25

Number of blues, n(b) = 10

Total number of songs to select (n) = 15

If she wants equal Number if the 3 genres

Each genre will have : 15/3 = 5 songs each

Hence,

(10C5 * 25C5 * 10C5) * n!

Combination formula :

pCr = p! / (p-r)! r!

Using calculator to save computation time :

(10C5 * 25C5 * 10C5) * n!

(252 * 53130 * 252) * 15!

= 4412050844368527360000

= 4.4 * 10^21

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An ant on the ground is 22 feet from the foot of a tree. She looks up at a bird at the top of the tree, and her line of sight ma
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What is the equation of the line that passes through the point (-5,3)(−5,3) and has a slope of fraction -6/5
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Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)  when :     x_1 = -5  and    y_1 =3 and   m= -6/5

the equation :   y - 3 = -6/5(x +5)

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1/5 of the shoes in a factory are green. If you pick a shoe, replace it, pick another shoe and replace it, and pick a third shoe
Ne4ueva [31]

Answer:

The probability that none of the three shoes selected are green = 64/125

Step-by-step explanation:

If we have 1/5 of shoes being green, then the number of non-green shoes = 1-1/5 = 4/5

Now, this is a probability with replacement.

probability of the first shoe since it’s not green = 4/5

probability of second shoes since it’s not green = 4/5

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Now, the probability that none of the shoes are green = 4/5 * 4/5 * 4/5 = 64/125

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14

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Use rise over run, (y2 - y1) / (x2 - x1)

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So, the slope is 14.

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3 years ago
Read 2 more answers
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