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2 years ago

I NEED HELP ON THESE ASAPPPPPP

Mathematics

1 answer:

Lana71 [14]2 years ago

3 0

Answer:

1. (-3,-11),(-2,-8),(-1,-5),(0,-2)(1,1)(2,4) (3,7)

2 (-3,5),(-2,0),(-1,-3), (0,-4),(1,-3),(2,0),(3,5)

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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

I need some help with this.

Alenkasestr [34]

Answer:

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Step-by-step explanation:

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2 years ago

Johanna used tiles to build a rectangler array with an array with an areavof 54.list all the possible dimensions of the array

lyudmila [28]

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1×54
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3 years ago

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c)= -12c^2

sveta [45]

Answer:

5 amperes will produce the maximum power

Step-by-step explanation:

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c)= -12c^2 + 120c.

To find out the maximum power we need to find the vertex

formula to find x -coordinate of vertex is $\frac{-b}{2a}$

P(c)= -12c^2 + 120c is given in the form of y=ax^2+bx+c

a= -12, b = 120

$c=\frac{-b}{2a}=\frac{-120}{2(-12)}=5$

c= 5 amperes will produce the maximum power

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2 years ago

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