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NNADVOKAT [17]
3 years ago
9

Two of largest mammals on earth are the blue wale and the African elephant. An adult male blue whale weighs about 170 tonnes or

long tones. (1 tonne =1000 kg) Show that the weight of an adult blue whale is 1.7 * 10^5 kg.
Mathematics
1 answer:
Liula [17]3 years ago
5 0

Weight is 1.7 × 10^5 kg

Step-by-step explanation:

  • Step 1: Given that the weight of the blue whale = 170 tonnes
  • Step 2: Convert the number of tonnes into kg.

⇒ 170 tonnes = 170 × 1000 (1 tonne = 1000 kg)

⇒ 170 tonnes = 17 × 10^4 kg

  • Step 3: Convert it into standard format, that is with just one decimal point.

⇒ 17 × 10^4 = 1.7 × 10^5 kg (Dividing and multiplying by 10 on both sides)

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3 years ago
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2 years ago
(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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The resultant probability is 0.3614

8 0
3 years ago
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