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3 years ago

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The time between consecutive uses of a vending machine is exponential with an average of 15 minutes. a)Given that the machine ha

s not been used in the previous 5 minutes, what is the probability that the machine will not be used during the next 10 minutes

1 answer:

Nadusha1986 [10]3 years ago

8 0

Answer5

Step-by-step explanation:

You might be interested in

Please answer this correctly

natulia [17]

Answer:

9:59

Step-by-step explanation:

all you have to do is add the hours to the hours and the minutes to the minutes but if you get a number over 60 in the minutes section then you need to subtract 60 from that side until get a number under 60 then you add however many times you did that to the hours

5 0

3 years ago

Read 2 more answers

The equation represents a hyperbola centered at the origin with a directrix of . what is the value of b? 10 16 20 26

Rom4ik [11]

the value of b is = 10.

The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.

<h3>What is hyperbola?</h3>

The geometric characteristics of a hyperbola or the equations for which it is the solution set characterize it as a particular kind of smooth curve that lies in a plane. Mirror reflections of each other that resemble two infinite bows make up a hyperbola's two connected components or branches.

<h3>What is the general formula for hyperbola?</h3>

The general formula for hyperbola = (x - h)²/a²- (y - k)²/(b)² = 1

<h3>According to the given information:</h3>

x²/24 - y²/(b)² = 1

(x - 0)²/24 - (y -0)²/(b)² = 1

a=24,h=0 and k=0

Now equation of the directrix

x=a²/c...(1)

and we know x=576/26...(2)

Therefore from 1 and 2 we get

24²/c=576/26.

isolate the c so we get,

C=26

C= center of focii

c = √(a² + b³)

c² = a² + b²

b = c² - a²

b = 10

So we get the value of b is 10.

Therefore the equation of a hyperbola is x²/24² - y²/ (10)² = 1.

To know more about Hyperbola visit:

brainly.com/question/12919612

#SPJ4

8 0

2 years ago

From a ship, the angle of elevation of a point, A, at the top of a cliff is 21°. After the ship has sailed 2,500 feet directly t

fredd [130]

Answer:

10701.97 feet.

Step-by-step explanation:

Refer the attached figure

The angle of elevation of a point, A, at the top of a cliff is 21° i.e. ∠ACB = 21°

The ship has sailed 2,500 feet directly toward the foot of the cliff i.e. CD = 2500 feet.

Then the angle of elevation becomes 47° i.e.∠ADB = 47°

Let BD be x

So, BC = BD+DC=x+2500

Let the height of the cliff be h feet.

In ΔABD

We will use trigonometric ratios

$tan\theta = \frac{Perpendicular}{Base}$

$tan47^{\circ} = \frac{AB}{BD}$

$1.072= \frac{h}{x}$

$1.072x=h$ ---a

In ΔABC

We will use trigonometric ratios

$tan\theta = \frac{Perpendicular}{Base}$

$tan21^{\circ} = \frac{AB}{BC}$

$0.869 = \frac{h}{x+2500}$

$0.869(x+2500) =h$

$0.869x+2172.5 =h$ -----b

Equate a and b

$0.869x+2172.5 =1.072x$

$2172.5 =1.072x-0.869x$

$2172.5 =0.203x$

$\frac{2172.5}{0.203}=x$

$10701.97=x$

Thus the height of the cliff is 10701.97 feet.

4 0

3 years ago

a triangle has angles measuring 45°, 55°, and 80°. it is dilated by a scale factor of 2. what are the angle measures, in order f

EastWind [94]

Answer:

$45$ °, $55$ °, and $80$ °

Step-by-step explanation:

Dilations preserve angle measures, regardless of the scale factor. Therefore, the angle measures of the image will be the same of that of the pre-image, so our answer is still $45$ °, $55$ °, and $80$ °. Hope this helps!

4 0

3 years ago

The temperature outside dropped 13°F in 7 hours. The

Shkiper50 [21]

Answer:

15 degrees Fahrenheit

Step-by-step explanation:

2+13=15

or 13+2=15

4 0

3 years ago