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LUCKY_DIMON
1 day ago
10

The failure rate for a guided missile control system is 1 in 1,000. Suppose that a duplicate but completely independent control

system is installed in each missile so that, if the first fails, the second can take over. The reliability of a missile is the probability that it does not fail. What is the reliability of the modified missile
Mathematics
1 answer:
Inessa [3.9K]1 day ago
6 0

Answer:

The reliability is approximately 0.999999.

Step-by-step explanation:

The control system for a guided missile has a failure rate of 1 in every 1,000.

Therefore, the likelihood of the missile functioning successfully is \frac{1000 - 1}{1000} = \frac{999}{1000}.

In the newly structured system, if the first one fails, the backup can take over.

There are two outcomes possible: either the first fails or it works.

If the first is successful, the probability is \frac{999}{1000} = 0.999.

If the first one fails, the probability becomes \frac{999}{1000} \times\frac{1}{1000} = 0.000999.

The overall reliability of the modified missile is 0.999 + 0.000999 = 0.999999.

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Eric plays basketball and volleyball for a total of 95 minutes every day. He plays basketball for 25 minutes longer than he play
lawyer [4039]

Answer:

Part A:

x+y= 95

x = y+25

Part B: 35 minutes

Part C: No

Step-by-step explanation:

  • Part A:

Eric spends a total of 95 minutes daily playing basketball and volleyball combined.

x+y= 95

Where:

x =minutes Eric plays basketball

y = minutes he allocates to volleyball

He dedicates 25 minutes more to basketball compared to volleyball.

x = y+25

Equations are:

x+y= 95

x = y+25

  • Part B:

Substituting x=y+25 into the first equation yields:

(y+25) + y =95

Solving for y

y+25+y =95

25+2y=95

2y=95-25

2y=70

y = 70/2

y = 35 minutes

Part C: No

If x = 35

x+y= 95

35+y =95

y= 95-35

y = 60 minutes

Inserting y=60 into the other equation:

x = y+25

35 = 60+25

35 ≠85

5 0
9 days ago
Suppose that a student is randomly selected from a large high school. The probability that the student is a senior is 0.22. The
lawyer [4039]

Answer: La probabilidad que necesitamos es 0.16.

Step-by-step explanation:

Se nos proporciona que

La probabilidad de que el estudiante sea un senior = 0.22

La probabilidad de que el estudiante tenga una licencia de conducir = 0.30

La probabilidad de que el estudiante sea un senior o tenga una licencia de conducir = 0.36

Buscamos la probabilidad de que el estudiante sea un senior y tenga licencia de conducir.

Según la pregunta,

P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\\P(S\cap D)=0.22+0.30-0.36\\\\P(S\cap D)=0.16

Por lo tanto, la probabilidad que necesitamos es 0.16.

3 0
5 days ago
El perímetro de un rectángulo es 28cm, uno de los lados es 6cm más que el otro lado. Hallar el mayor lado del rectángulo.
Inessa [3926]

Answer: El lado mayor del rectángulo mide 10cm

Step-by-step explanation:

El perímetro de un rectángulo está dado por:

P = 2*L + 2*A

Donde L es la longitud y A es el ancho.

Como sabemos que un lado es 6cm más largo que el otro, podemos expresar esto como:

L = A + 6cm.

Por lo tanto, P = 28cm = 2*L + 2*A

Sustituyendo la primera ecuación en la segunda tenemos:

28cm = 2*(A + 6cm) + 2*A

28cm = 12cm + 4*A

28cm - 12cm = 4*A

16cm/4 = A

4cm = A.

Así que el ancho es 4 cm y la longitud se calcula como L = 4cm + 6cm = 10cm

4 0
18 days ago
How many ways can the letters in the word 'Momentum' be arranged in a row with the 'M's occupying alternate positions?
PIT_PIT [3949]
Multiplying 3 × 5 × 2 × 4 × 3 × 2 × 1 × 1 results in 720
3 0
16 days ago
The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a,
PIT_PIT [3949]
<span>Starting with the equation f = v + at

Subtract v on both sides:

f - v = at

Divide both sides by a:

(f - v) / a = t

Swap the sides:

t = (f - v) / a

t = \dfrac{f - v}{a}</span>
4 0
14 days ago
Read 2 more answers
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