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bixtya [17]
3 years ago
7

A missile protection system consists of n radar sets operating independently, each with probability 0.9 of detecting a missile e

ntering a zone that is covered by all of the units.a) Find a nice expression for the probability of detecting at least one of the sets detects the missile. (Tip: what is the probability, that a missile is not detected by any of the sets? - and what has this probabilityto do with the above?)b) How large must n be if we require that the probability of detecting a missile that enters the zone be 0.999 ? 0.999999 ?c) If n = 5 and a missile enters the zone, what is the probability that exactly 4 sets detect the missile?At least one set?
Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

A.) The probability that the missile is not detected by any of n sets = (1-0.9)^n = 0.1^n.

Where it's opposite will be that the missile is detected by atleast 1 of the sets. Which will be equals to 1-(0.1)^n.

B.) 0.999= 1-(0.1)^n

Here n=3

For, 0.999999=1-(0.1)^n

n=6.

C.) If n=5

5C4*(0.9)^4*(0.1)^1= 0.32805

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2 years ago
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Four baskets contain 1, 4, 6, and 9 apples respectively. At least how many apples should be moved between the baskets to have th
creativ13 [48]

Answer:

Mmmm tricky but I'll try..

take away 4 apples from the basket with 9 and place it in the one with 1 apple

then take away one apple from the one with 6 and place it in the basket with 4

And now you have 5 apples in each basket

Happy now?

4 0
2 years ago
I need help with this question???
Sholpan [36]

Answer:

A

Step-by-step explanation:

Because -20 is more than -17 by -3

6 0
3 years ago
Sole m-2/12=1/6<br> a.4<br> b.1<br> c.0<br> d.2
riadik2000 [5.3K]
The answer would be A. 4
Here’s what I would do.
Multiply both sides by 12 so u can get m- 2 by itself.
m-2= 2
How’d I get the two? It comes from when I multiplied 12 on both sides. 12/6= 2
Now ur equation should be
m-2=2
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Hope this helps :)))
7 0
3 years ago
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 20 N acts on
jeka94

The acceleration of the object will be 10 m/s²

Step-by-step explanation:

Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other

  • If y varies directly with x, then y ∝ x
  • y = k x, where k is the constant of variation

For a moving object, the force acting on the object varies directly with the object's acceleration.

Assume that the force is F and the acceleration is a

∵ F ∝ a

∴ F = k a

∵ F = 20 newtons

∵ a = 4 m/s²

- Substitute these values in the equation above to find k

∵ 20 = k (4)

∴ 20 = 4 k

- Divide both sides by 4

∴ k = 5

- Substitute the value of k in the equation

∴ F = 5 a ⇒ equation of variation

∵ F = 50 Newtons

∵ F = 5 a

∴ 50 = 5 a

- Divide both sides by 5

∴ 10 = a

∴ a = 10 m/s²

The acceleration of the object will be 10 m/s²

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

7 0
3 years ago
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