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Montano1993 [528]
3 years ago
10

What are all the common factors of 15 ,45, 90

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0
The common factors are: 1, 3, 5, 15
GCF (greatest common factor): 15
15                     45                                  90
^1, 3, 5, 15         ^1, 3, 5, 9, 15, 45,         ^1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90,


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8/0.61=13.114… then round if needed
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What is |-8|<br> 0-16<br> O 8<br> O 8<br> O 16
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(a) A lamp has two bulbs, each of a type with average lifetime 1400 hours. Assuming that we can model the probability of failure
Temka [501]

Answer:

For first lamp ; The resultant probability is 0.703

For both lamps; The resultant probability is 0.3614

Step-by-step explanation:

Let X be the lifetime hours of two bulbs

X∼exp(1/1400)

f(x)=1/1400e−1/1400x

P(X<x)=1−e−1/1400x

X∼exp⁡(1/1400)

f(x)=1/1400 e−1/1400x

P(X<x)=1−e−1/1400x

The probability that both of the lamp bulbs fail within 1700 hours is calculated below,

P(X≤1700)=1−e−1/1400×1700

=1−e−1.21=0.703

The resultant probability is 0.703

Let Y be a lifetime of another lamp two bulbs

Then the Z = X + Y will follow gamma distribution that is,

X+Y=Z∼gamma(2,1/1400)

2λZ∼

X+Y=Z∼gamma(2,1/1400)

2λZ∼χ2α2

The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,

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P(χ24≤1.67)=0.3614

The resultant probability is 0.3614

8 0
2 years ago
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