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Musya8 [376]
4 years ago
13

• A pressure control apparatus contains 3 electronic tubes. The apparatus will not work unless all tubes are operative. If the p

robability of failure of each tube during some interval of time is 0.04, what is the corresponding probability of failure of the apparatus?
Mathematics
1 answer:
german4 years ago
7 0

Answer:

Therefore, the probability is P=0.000064.

Step-by-step explanation:

We know that a  pressure control apparatus contains 3 electronic tubes. The apparatus will not work unless all tubes are operative. If the probability of failure of each tube during some interval of time is 0.04.

We calculate the  probability of failure of the apparatus.

We get:

P=0.04\cdot 0.04\cdot 0.04\\P=0.000064

Therefore, the probability is P=0.000064.

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Step-by-step explanation:

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Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is ∠1+∠2+∠3=360°
jasenka [17]

Answer:

The sum of all the external angles of a triangle is 360°.

Step-by-step explanation:

Let there are n sides in a polygon.

So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.

The measure of external angle corresponding to ∠i1,  ∠1= 180°-∠i1,

The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,

Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.

Now, the sum of all the external angles of the polygon,

(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)

=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)

=n x 180° - (∠i1+∠i2+...+∠in)

As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.

So, the sum of all the external angles of the polygon =

(n x 180°) - (sum of all the internal angles of the polygon).

In the case of a triangle, n=3  and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.

Therefore, the sum of all the external angles of a triangle,

∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)

                 =540°=180°

                 =360°.

Hence, the sum of all the external angles of a triangle is 360°.

5 0
3 years ago
Farmer Jones raises ducks and cows. He looks out his window and sees 54 animals with a total of 122 feet. If each animal is “nor
Olenka [21]

Answer:

He have <u>47</u> ducks and <u>7</u> cows.

Step-by-step explanation:

Given:

Farmer Jones raises ducks and cows.

He looks out his window and sees 54 animals with a total of 122 feet.

Now, to find the each type of animal he have.

Let the number of ducks be x.

And the number of cows be y.

So, total number of animals are:

x+y=54

x=54-y  ....( 1 )

As, the feet of cows are 4 and ducks are 2.

Now, the total number of feet are:

2(x)+4(y)=122

2x+4y=122

Substituting the value of x from equation (1) we get:

2(54-y)+4y=122

108-2y+4y=122

108+2y=122

<em>Subtracting both sides by 108 we get:</em>

2y=14

<em>Dividing both sides by 2 we get:</em>

y=7.

<em>The number of cows = 7.</em>

Now, to get the number of ducks we substitute the value of y in equation (1):

x=54-y\\x=54-7\\x=47.

<em>The number of ducks = 47.</em>

Therefore, he have 47 ducks and 7 cows.

4 0
4 years ago
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