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2 years ago

What does x = and why and how does that number come out

Mathematics

2 answers:

dedylja [7]2 years ago

7 0

More algebra pretending to be geometry. These questions should be banished from the planet.

A transversal across parallel lines generates the usual congruent and supplementary angles; here our pair are supplementary, adding to 180 degrees. Geometry done.

(2x + 12.8) + 117.6 = 180

2x = 180 - (12.8 + 117.6) = 49.6

x = 49.6/2 = 24.8

Answer: 24.8

Romashka [77]2 years ago

4 0

HOPE U GET IT!!!!!!!!!!!

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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

A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with O's representi

Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

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2 years ago

From the height of 30 meters above sea level of a cliff, a ship is sighted due west. The angle of depression is 20How far from t

Igoryamba

Answer:

9470m above the sea level.

Step-by-step explanation:

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2 years ago

Calculate the surface area of the object below

Yakvenalex [24]

Answer:

Step-by-step explanation:

As = 2πrh + 2πr²

where r = 4, h = 10

plugin values into the equation:

As = 2π (4) 10 + 2 π (4)²

As = 251.33 + 100.53

As = 351. 86 yd²

8 0

2 years ago

4x-5=2x+7 midpoint segmen

Bogdan [553]

Answer:

x = 6

Step-by-step explanation:

The way to solve this is by subtracting 2x from both sides. Now we have

2x-5=7

Then we add 5 from both sides. Now we have

2x=12

We do this because we want X by itself

Then we divide by 2 on both sides and now we have

x = 6

If you have any questions feel free to ask in the comments.

7 0

3 years ago