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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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Answer:

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Step-by-step explanation:

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Using the binomial distribution, the probabilities are given as follows:

a) 0.37 = 37%.

b) 0.5065 = 50.65%.

c) 0.3260 = 32.60%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the fixed parameter is:

p = 0.37.

Item a:

The probability is P(X = 1) when n = 1, hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{1,1}.(0.37)^{1}.(0.63)^{0} = 0.37

Item b:

The probability is P(X = 3) when n = 3, hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.37)^{3}.(0.63)^{0} = 0.5065

Item c:

The probability is P(X = 2) when n = 4, hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{4,2}.(0.37)^{2}.(0.63)^{2} = 0.3260

More can be learned about the binomial distribution at brainly.com/question/24863377

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Answer:

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Step-by-step explanation:

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