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3 years ago

(8b2+6b-1) (8b2-8b+7)

1 answer:

6 0

<span>=(<span><span><span>8<span>b2</span></span>+<span>6b</span></span>+<span>−1</span></span>)</span><span>(<span><span><span>8<span>b2</span></span>+<span>−<span>8b</span></span></span>+7</span><span>)
</span></span>=<span>(8b2)(8b2)+(8b2)(−8b)+(8b2)(7)+(6b)(8b2)+(6b)(−8b)+(6b)(7)+(−1)(8b2)+(−1)(−8b)+(−1)(7)
</span>=<span>64b4−64b3+56b2+48b3−48b2+42b−8b2+8b−7</span>
Answer:
=<span>64b4−16b3+50b−7</span>

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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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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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Answer:

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Triangle ABC is an isosceles triangle, and side BC is congruent to side AC. If side AC equals 40 centimeters, and AB is one-half

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Answer:

100 cm

Step-by-step explanation:

Given:

AC = BC

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2AB=AC

Simplify:

BC = 40

Simplify:

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Algebra:

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AB = 20

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Add all of them together:

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2 years ago