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2 years ago

G(x) = –2|x - 3| + 4

Mathematics

1 answer:

natita [175]2 years ago

8 0

The answer is {1, 5}. hope this helps!

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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

2 years ago

Y-9=3/4(x+8) rewrite it in slope intercept form explain your answer.

Angelina_Jolie [31]

Y+-9=3/4x+6 | y=mx+b m=slope b=y-intercept
divide -9÷-9
y=3/4x+6+-9
y=3/4x+-3
m=3/4
b=-3

5 0

2 years ago

Estimate with one digit <br> 6/253

aleksandr82 [10.1K]

<span>estimating quotients with 2 digit divisorshow to estimate with 1-digit divisorsestimate with 1 digit divisorsdivide with 1-digit divisors<span>lucas henderson</span></span>

6 0

3 years ago

In a line of students ,Jenna is number 8.The teacher says the rule for a number pattern is add4.The first term 7.What number sho

balandron [24]

1. You have that the rule for a number pattern is add 4 and the <span>first term is 7.

2. Let's call "n" to the number in the line where each student is. Then, you can express this as below:

4n+7

3. So, you have:

Student N°1=4(1)+7=11
</span> Student N°2=4(2)+7=15
Student N°3=4(3)+7=19
Student N°4=4(4)+7=23
Student N°5=4(5)+7=27
Student N°6=4(6)+7=31
Student N°7=4(7)+7=35
Student N°8=4(8)+7=39
<span>
What number should Jenna say?

The answer is: 39</span>

4 0

3 years ago

Drake wants to save $750 so that he can take a class on computer analysis for cars. The class is being held on various dates ove

Galina-37 [17]

Answer: c

Step-by-step explanation:

3 0

3 years ago