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Artemon [7]
3 years ago
10

N/-1.5=-1.2 what is n?

Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0
<span>N/-1.5=-1.2
</span>
<span>-1.5*N/-1.5=-1.2*-1.5
n = 1.8
</span>
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Solve the equation for the bold variable (h)
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Assume that the engine component of a spacecraft consists of two engines in parallel. If the main engine is 95% reliable, the ba
rodikova [14]

Answer:

a) 0.04

b) 0.19

c) 0.01

d) 0.8

Step-by-step explanation:

Hi,

Let's make our data, considering two rules of probability:

  1. The total probability of any event is 1.
  2. Percentages are converted to decimal.
  • P(M) = 0.95
  • P(M')=0.05
  • P(B)=0.80
  • P(B')=0.20

- where M → Main Engine works, B → Back Up Engine works, M' → Main Engine will not work and B' → Back Up Engine will not work.

<em>Remember for cases with </em><em>and, </em><em>we multiply; for cases with </em><em>or</em><em>, we use addition.</em>

<em />

a) For this part, we know that Main Engine will work and Back-up engine will not work:

P(M' and B): 0.05 x 0.80 = 0.04

b) Back up will not work and Main will work:

P(M and B') = 0.20 x 0.95 = 0.19

c) We know the probability of entire component working, which is 0.99.

So to find the probability of entire component failing, we need to subtract 0.99 from 1. <em>(Since the total probability is always 1)</em>

P(Entire component will fail) = 1 - 0.99 = 0.01

d) This is a typical case of conditional probability, to calculate a conditional probability we use the following formula:  P(A|B) = \frac{P(A\ and\ B)}{P(B)}

Where, P(A|B) means the probability of A, given B.

Simply using this, we calculate the P(B|M'):

P( B\ and\ M') = 0.04  <em>(as calculated in part a)</em>

<em />P(M')=0.05<em> (as calculated for the data)</em>

<em />

Modifying the formula to our needs:<em> </em>P(B|M') = \frac{P(B\ and\ M')}{P(M')}<em />

⇒P(B|M') = \frac{0.04}{0.05} = 0.80 Ans.

I hope this answers all your queries.

8 0
3 years ago
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