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3 years ago

Solve the system of equations by substitution. y = 2x y = x +1

Mathematics

1 answer:

Veronika [31]3 years ago

7 0

Step-by-step explanation:

y = 2x

y = x + 1

y-1 = x

y = 2x

y = 2 (y - 1)

y = 2y - 1

y = -1

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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

3 0

3 years ago

Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered wi

Mrrafil [7]

Answer:

Step-by-step explanation:

Remarks

The given angle is an exterior angle.
It's value is 46 degrees.
An exterior angle is the sum of the two remote angles. (A remote angle is one that is not supplementary to the given exterior angle.

Solution

46 = <u + <t
<t = 29
46 = <u + 29 Subtract 29 from both sides.
46 - 29 = <u
<u = 17 degrees

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alisha [4.7K]

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Firlakuza [10]

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Step-by-step explanation:

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Solve the system of equations by substitution. y = 2x y = x +1​

Solve the system of equations by substitution. y = 2x y = x +1