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BARSIC [14]
3 years ago
14

Identify the vertex of the parabola. (6,3) (5,0) (4,-1) (3,0)

Mathematics
2 answers:
ivolga24 [154]3 years ago
7 0

The answer would be C. (4,-1)

VMariaS [17]3 years ago
5 0
4,-1 will be your answer.........
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Studt the list of numbers and use it’s pattern to predict the next three numbers describe the pattern
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What decimal is 1/10 of 0.08
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3 years ago
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.The ma
Lana71 [14]

Answer:

The advertisement should use 16 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that m = 3.5, \mu = \frac{1}{3.5} = 0.2857

What number of minutes should the advertisement use?

The values of x for which:

P(X > x) = 0.01

So

e^{-\mu x} = 0.01

e^{-0.2857x} = 0.01

\ln{e^{-0.2857x}} = \ln{0.01}

-0.2857x = \ln{0.01}

x = -\frac{\ln{0.01}}{0.2857}

x = 16.12

Rounding to the nearest number, the advertisement should use 16 minutes.

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3 years ago
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