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2 years ago

(add. write your answer as a fraction, as a whole or as a mixed number)

Mathematics

1 answer:

Eduardwww [97]2 years ago

5 0

Answer:

3 and 1/12

Step-by-step explanation:

hope this helps! :)

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What type of word a relationship does this analogy show

Trava [24]

Answer:

part/whole

Step-by-step explanation:

jazz is only a part of music, music is the whole thing and also lave tube would be a part of a bigger thing which is the cave

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The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$

which is equal to 0.01

Solve the equation for x

$\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01$

Take natural log on both sides

$ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53$

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

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2 years ago

A scuba diver used the expression below to describe his position in relation to sea level.

alex41 [277]

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Evaluate 2/3x for x = 3/4. Please show your work.<br> Thank you!!! :)

GenaCL600 [577]

X = 3/4
So substitute x for 3/4 in <span> 2/3x
(3/4) x (2/3)

Now solve
</span>(3/4) x (2/3) = 1/2 or 0.5

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