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monitta
3 years ago
14

48

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
8 0
Well first count the shoe rental which is 4 dollars so she has 16 dollars left. We divide 16 and 5.50 and get 2.9090 meaning that she can play 2 games. Because u can’t pay for half the game so it would be 2 games.
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Expression for all solutions to the equation cos(theta) = 1 + 3cos(theta)
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\cos\theta=1+3\cos\theta\implies 0=1+2\cos\theta\implies \cos\theta=-\dfrac12

On the unit cirlce, the cosine of an angle is negative whenever the angle falls in the interval \dfrac\pi2.

If you recall your special triangles, this cosine occurs for angles of x=\dfrac{2\pi}3 and x=\dfrac{4\pi}3.

More generally, this occurs for x=\dfrac{2\pi}3+2n\pi and x=\dfrac{4\pi}3+2n\pi, where n is an integer.
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Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute. The probability that
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Answer:

0.0498 = 4.98%

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:

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In which

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\mu is the mean in the given time interval.

Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute.

Each minute has 60 seconds.

So a rate of 1 inquire each 4 seconds.

The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately

Mean of 1 inquire each 4 seconds, so for 12 seconds \mu = \frac{12}{4} = 3

This probability is P(X = 0).

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

P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498

5 0
3 years ago
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steposvetlana [31]

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B.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

-7x-3=2-7x-5

cancel equal terms

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