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2 years ago

Light can travel 1,339,200,000 miles in two hours. What is the speed of light in miles per hour?

Mathematics

1 answer:

Margarita [4]2 years ago

4 0

Answer:

670 616 629 miles per hour?

Step-by-step explanation:

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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

Multiply. write in simplest form. 2/5 x 15/16

shtirl [24]

$\frac{3}{8}$

8 0

2 years ago

The total mass of two packets of fruit is 10.5 kg. One packet of fruit is 3 kg lighter than the other. Find the mass of the heav

Ainat [17]

(3+x)+x=10.5

Simplify

2x = 7.5

x = 3.75

Plug in for x

(3 + 3.75) + 3.75 = 10.5

6.75 + 3.75 = 10.5

The heavier packet of fruit is 6.75 kg.

4 0

3 years ago

(!) Brainliest Will Be Given (!)

ololo11 [35]

42 degrees is the average.

3 0

2 years ago

X-5.47753/0.06776<br> Solve for x

Dmitrij [34]

Answer:

80.83722

Step-by-step explanation:

−5.47753 /0.06776 =−80.83722

x-80.83722

+80.83722 on both

x=80.83722

3 0

2 years ago