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3 years ago

This mapping shows a functional relationship. When f(x)=4, what is the value of x?

Mathematics

1 answer:

marishachu [46]3 years ago

3 0

Answer:

x=2

Step-by-step explanation:

This is a one-to-one relationship, so when the output (range) is 4, the input (domain) is 2

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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

PLEASE I NEED HELP

Brums [2.3K]

Answer:

Step-by-step explanation:

5 0

3 years ago

If you are given the graph of h(x) = log. x, how could you graph m(x) = log2(x+3)?

Agata [3.3K]

Answer:

Option (d).

Step-by-step explanation:

Note: The base of log is missing in h(x).

Consider the given functions are

$h(x)=\log_2x$

$m(x)=\log_2(x+3)$

The function m(x) can be written as

$m(x)=h(x+3)$ ...(1)

The translation is defined as

$m(x)=h(x+a)+b$ .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

$a=3,b=0$

Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).

Hence, option (d) is correct.

3 0

3 years ago

HELP I NEED HELP ASAP

masha68 [24]

Answer:

i think it's c but I'm rly not sure on this one...

3 0

2 years ago

Solomon needs to justify the formula for the arc length of a sector. Which expression best completes this argument?The circumfer

Archy [21]

Answer:

$\frac{360}{n}$

Step-by-step explanation:

Given:

The above statements

Required

Complete the above statements

Considering the third statement in the question;

First, it should be noted that a circle is a full sector that measures 360 degrees

Assuming the circle is divided by a central angle of 180, the number of sectors formed will be;

$\frac{360}{180} = 2\ sectors$

Further assume the circle is divided by a central angle of 90, the number of sectors formed will be;

$\frac{360}{90} = 4\ sectors$

Similarly, if the circle is divided by a central angle of n, the number of sectors formed will be;

$\frac{360}{n}$

Hence, from the list of given options; $\frac{360}{n}$ fills the gap correctly

4 0

3 years ago