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2 years ago

On a cold day, the temperature in a certain city changed - 23.8°F

Mathematics

1 answer:

konstantin123 [22]2 years ago

8 0

Answer:

-3.5°F

Step-by-step explanation:

-23.8°F/6.8(hrs)= -3.5°F

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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:

$P(X > x) = 0.01$

$e^{-\mu x} = 0.01$

$e^{-0.2857x} = 0.01$

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

$-0.2857x = \ln{0.01}$

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

$x = 16.12$

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

5 0

3 years ago

Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian

stepan [7]

25-14=11 and 26.5-21=5.5
11 paperback books

3 0

3 years ago

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Francis have 5 more dollars than Julia together they have at most $45 let X represent the amount of money francis has. Which ine

Dmitrij [34]

X=francis y=julia

the answer is francis has $27.5 and julia has $17.5 you find this by 45 and dividing it by 2 then get on half and add 5 and with the other half subtract five

6 0

3 years ago

He first five multiples for the numbers 4 and 6 are shown below.

weeeeeb [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

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65/p • 3 when p = 5

Makovka662 [10]

Answer:

Step-by-step explanation:

65/5=13

13x3=39

8 0

3 years ago

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