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lutik1710 [3]
3 years ago
11

A space shuttle is made up of 774 ​"criticality 1" items. Each​ "criticality 1" item must have​ 99.99% reliability, according to

​ standards, meaning that the probability of failure for such an item is 0.0001. Determine the probability that a. none of the​ "criticality 1" items would fail. b. at least one​ "criticality 1" item would fail.
Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0

Answer:

a) 0.9999

b)0.0001

Step-by-step explanation:

Given that probability of failure is 0.0001

Then;

a) finding the probability that none of the "criticality 1" items would fail will be;

1-0.0001 =0.9999

b)To find the probability of an event occurring at least once it will be the complement of the probability of the event never occurring.

P(at least one)= 1- P(none)

=1-0.9999= 0.0001

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7 0
3 years ago
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Step-by-step explanation:

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What must be the sides of an equilateral triangle so that it's area should be equal to the area of an isosceles triangle with ba
d1i1m1o1n [39]

Answer:

The sides of the equilateral triangle are 11.7 m.

Step-by-step explanation:

Let's find the area of the isosceles triangle:

A_{i} = \frac{bh}{2}

Where:

b: is the base = 12 m

h: is the height

We can find the height by using Pitagoras:

x^{2} = \frac{b^{2}}{2} + h^{2}    

Where:

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Now, since the area of the isosceles triangle is equal to the area of the equilateral triangle:

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The height of the equilateral triangle is given by:

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Hence, the sides are:

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Therefore, the sides of the equilateral triangle are 11.7 m.

I hope it helps you!      

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