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olchik [2.2K]
2 years ago
5

In a certain​ four-engine vintage​ aircraft, now quite​ unreliable, each engine has a 15​% chance of failure on any​ flight, as

long as it is carrying its​ one-fourth share of the load. But if one engine​ fails, then the chance of failure increases to 35​% for each of the other three engines. And if a second engine​ fails, each of the remaining two has a 45​% chance of failure. Assuming that no two engines ever fail​ simultaneously, and that the aircraft can continue flying with as few as two operating​ engines, find the probability of exactly one engine failure.
Mathematics
1 answer:
Romashka [77]2 years ago
8 0

Answer:

0.0975 or 9.75%

Step-by-step explanation:

Assuming that no engines fail simultaneously, the probability that exactly one engine fails is the probability that the first engine fails (15%) multiplied by the probability that the second engine does not fail (100% - 35%):

P = 0.15*(1-0.35)\\P=0.0975

The probability of exactly one engine failure is 0.0975 or 9.75%

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3 years ago
Si el velocimetro de un auto marca un 25% mas que la verdadera velocidad y en este momento marca 100km/h entonces la velocidad v
GenaCL600 [577]

Answer:

True speed of the car is 87 km/h.

Step-by-step explanation:

Speed = 100 km/h

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Let the true speed is v.

v + 15% of v = 100 \\\\v + 0.15 v = 100 \\\\1.5 v = 100\\\\ v = 87  km/h

6 0
3 years ago
What is the surface area of the triangular prism shown?
Lunna [17]

Answer:

The first step that we are going to do is to solve the area of the top rectangle.  We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.

Area = l * w

Area = 25\ cm * 15\ cm

Area = 375\ cm^2

The second side that we are going to solve for is the bottom rectangle.  We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.

Area = l * w

Area = 25\ cm * 12\ cm

Area = 300\ cm^2

The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.

Area = l * w

Area = 25\ cm * 9\ cm

Area = 225\ cm^2

The final area that we have to determine are the side triangles.  After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles.  We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.

Area = \frac{1}{2}* b*h

Area = \frac{1}{2}* 12\ cm*9\ cm

Area = 54\ cm^2

Multiply it by two to get the area for both of the triangles.

Area = 54\ cm^2 * 2

Area = 108\ cm^2

Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.

Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2

Area_{total}=1008\ cm^2

Therefore, our final answer is option B, 1008 cm^2

Hope this helps!

4 0
2 years ago
A graphic designer creates an image for a t-shirt that measures 8 inches tall and 10 inches wide. She can use this image for sma
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1.125 times 8=9
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Please help me find the answer to this problem
andriy [413]

Answer:

13.5

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5 0
3 years ago
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