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ohaa [14]
3 years ago
5

To divide 572/4 Stanley estimated to place the first digit of the quotient. In which place is the first digit of the quotient?

Mathematics
1 answer:
umka2103 [35]3 years ago
7 0

Answer:

1

Step-by-step explanation:

I'm not quite sure but I think it is the 1st place digit. Because if you set it up as long division the 4 can divide into the 5. Thus, making this the the first place of the digit of the quotient. Hope this helps

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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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Answer:

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