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4 years ago

Need help, extra points

Mathematics

1 answer:

castortr0y [4]4 years ago

4 0

Answer:

around 35-42° it's one of them 2 probably 40-41°

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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

Please help me somebody will

Svetach [21]

Answer:

66/54

Step-by-step explanation:

4 0

2 years ago

Help

Arte-miy333 [17]

Answer:

this could work y=(-22)x+41

4 0

3 years ago

If a person invested half of her money at 9% and half at 7% and received $160 interest, find the total amount of money invested.

mr Goodwill [35]

Answer:

$2000

Step-by-step explanation:

let x be the money she invested

lets assume this was for 1 year

0.09(x/2) + 0.07(x/2) = 160

multiply each side by 2 to cancel the denominators:

0.09x + 0.07x = 320

0.16x = 320

x = 2000

5 0

3 years ago

Read 2 more answers

Arthur starts his first workout routine by doing 10 push-ups. Each workout after the first, he plans to do 2 more push-ups than

Reptile [31]

Answer:

Step-by-step explanation:

10 + (20x2) = 50

4 0

3 years ago