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Natalka [10]
2 years ago
8

A dancing competition has 13 competitors, of whom four are American, two are Mexicans, four are Russians and three are Italians.

If the contest result lists only the nationality of the competitors, how many outcomes are possible?
Mathematics
1 answer:
jok3333 [9.3K]2 years ago
8 0

Answer:

900,900 outcomes are possible.

Step-by-step explanation:

Arrangements with repetition:

The number of possible arrangements of n elements, considered that they are divided in classes of n_1,n_2,...,n_n elements, is given by:

A = \frac{n!}{n_1!n_2!...n_n!}

A dancing competition has 13 competitors

This means that n = 13

Four are American, two are Mexicans, four are Russians and three are Italians.

This means that n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3

How many outcomes are possible?

A = \frac{13!}{4!2!4!3!} = 900900

900,900 outcomes are possible.

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Arthur started school in 1969. He is still living. If he was 7 years old when he started school, how old was he in 1980?
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Suppose we are testing the null hypothesis H 0 mu=20 and the alternative H iu =20 , normal population with sigma=6 A random samp
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Answer:

The value of the test statistic is z = -1.5

Step-by-step explanation:

The formula for the test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

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In this problem, we have that:

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So

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8 0
3 years ago
the side length of the state flag of Colorado are in the ratio of 2:3 if the flag is 12 ft long what is the height?​
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Answer:

The height is 8

Step-by-step explanation:

Ratios are just fractions. That being said, you also have part of a fraction. You know that the colorado flag is in 2:3, and 12 feet long is according to that ratio; it equals each other.

Make the equation.

\frac{2}{3}  = \frac{x}{12}

Now isolate x (in order to solve for it)

12 * \frac{2}{3}  = \frac{x}{12}*12\\8 = x

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6 0
2 years ago
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Answer:

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Step-by-step explanation:

$49 is our constant and will not change. 5.40 however will. Let's use variable h for the amount hours they can rent the room for. Now we can make an inequality;

49+ 5.40h < 86.80

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(This answer does not consider decimals or half hours)

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