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VashaNatasha [74]
3 years ago
14

A mechanical system has 3 subsystems in series, each has reliabilities 98%, 96% and 94%, respectively. What is the overall relia

bility of the system
Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0

Answer:

The overall reliability of the system is 99.9952%

Step-by-step explanation:

Probability of the system not working:

None working, the first with 2% probability of not working(as it has 98% probability of working), the second with 4% and the third with 6%. So

0.02*0.04*0.06 = 0.000048

Probability of the system working:

1 subtracted by the probability of the systme not working.

1 - 0.000048 = 0.999952

0.999952*100% = 99.9952%

The overall reliability of the system is 99.9952%

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For the series 16, 24, 36, 54,... find S7.
diamong [38]
24 - 16 = 8
36 - 24 = 12
54 - 36 = 18

So, obviously, this isn't an arithmetic sequence.

24/16 = 3/2
36/24 = 3/2
54/36 = 3/2

Aha! This is a geometric sequence.

Now, let's find the 7th term in this sequence!

a_n = a_1 \cdot r^{n-1}

We're trying to solve for a_7.
We know that a_1 is 16
We know that n = 7
We know that r = 3/2 or 1.5

Plug it in!

a_n = a_1 \cdot r^{n-1}\\\\a_7 =16 \cdot 1.5^{7-1}\\\\a_7 = 16 \cdot 1.5^6\\\\a_7 = 16 \cdot 11.390625\\\\\boxed{\bf{ a_7 = 182.25}}

The seventh term is 182.25
5 0
3 years ago
According to the world atlas (2010) the population of New York City was 19,750,000, the population of Los Angeles was 15,250,000
andreev551 [17]

19,750,000
15,250,000
+ 6,945,000
---------------------
41,945,000 = forty-one nine hundred forty-five thousand

the answer is B

8 0
3 years ago
A. 140°<br><br> B. 300°<br><br> C. 220°<br><br> D. 180°<br><br> E. 320°
kvasek [131]

Answer:

140

Step-by-step explanation:

3 0
2 years ago
Choose the inequality that could be used to solve the following problem.
Pie
Answer:

3x = - 6

Step-by-step explanation:

Three times a number is at most negative six

3 times a number would be 3 times x, is means the equal sign (=)

3x = - 6

3 0
3 years ago
Read 2 more answers
A right triangle has one leg with a length of 48 and a hypotenuse with a length of 80. What is the length of the other leg?
Fofino [41]
Pythagoras Theroem.
Leg₁²+leg₂²=hypotenuse²

Data:
Leg₁=48
hypotneuse=80

(48)²+ leg₂²=(80)²
2304+leg₂²=6400
leg₂²=6400-2304
leg₂²=4096
leg₂=√4096
leg₂=64

Answer: B.  64
8 0
3 years ago
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