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kifflom [539]
2 years ago
8

The acts in a talent competition consist of 4 instrumentalists, 10 singers, and 6 dancers. If the acts are ordered randomly, wha

t is the probability that a dancer performs first
Mathematics
2 answers:
Julli [10]2 years ago
5 0
Zero percent! Instrumentalists, dancers, then singers. That's how it goes. That's how a competition should go!
Scorpion4ik [409]2 years ago
4 0

Answer:

\frac{6}{20}  =  \frac{3}{10?}

Step-by-step explanation:

total amount of acts = 4+10+6 = 20

amount of dancers = 6

probability of picking a dancer = number of dancers / total number of talents = 6/20 = 3/10

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IgorLugansk [536]

Answer:

$90.90

Step-by-step explanation:

The item normally costs $110.99. If the sporting goods store is offering a 10% discount, it means that the price including the discount will be:

$110.99 x 0.90 = $99.891.

the in-line skates cost with the discount $99.89, not including taxes.

5 0
3 years ago
Ed walsh wanted to purchase a used car. He obtained a 6,700 installment loan at an APR of 6%. He must repay the loan in 2 years.
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3 years ago
Suppose that the number of customers that enter a bank in an hour is a Poisson random variable, and suppose that P(X = 0) = 0.09
Ksju [112]

Answer:

E(X) = V(X) = 2.41

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

In the Poisson distribution, the mean is the same as the variance.

P(X = 0) = 0.09

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-\mu}*\mu^{0}}{(0)!} = e^{-\mu}

So

e^{-\mu} = 0.09

We apply ln to both sides, which is the inverse operation of the exponential.

So

\ln{e^{-\mu}} = \ln{0.09}

-\mu = -2.41

Multiplying by -1

\mu = 2.41

So

E(X) = V(X) = 2.41

8 0
3 years ago
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Answer: Xmin:

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Xmax:

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Ymin:

-10

Ymax:

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Step-by-step explanation:

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3 years ago
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maks197457 [2]
2,500..?
Maria has 500 ,, her friends five times so
500x5 ? Gave it my best good luck
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3 years ago
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