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artcher [175]
2 years ago
7

!! HELP PLEASE!!

Mathematics
2 answers:
olasank [31]2 years ago
7 0

Here

  • a=22
  • b=21
  • c=16

Apply law of cosines

\ \ \sf\longmapsto cosB=\dfrac{a^2+b^2+c^2}{2ac}

\ \ \sf\longmapsto cosB=\dfrac{22^2+21^2+16^2}{2(22)(16)}

\ \ \sf\longmapsto cosB=\dfrac{484+441+256}{704}

\ \ \sf\longmapsto cosB=\dfrac{1181}{704}

\ \ \sf\longmapsto cosB=0.42

\ \ \sf\longmapsto B=cos^{-1}(0.42)

\ \ \sf\longmapsto B=64.8°

NARA [144]2 years ago
3 0

Answer:

  • 64.86°

Step-by-step explanation:

<u>Use the law of cosines:</u>

  • cos ∠B = (a² + c² - b²) / (2ac)
  • cos ∠B = (16² + 22² - 21²) / (2*16*22)
  • cos ∠B = 0.4247
  • m∠B = arccos 0.4247
  • m∠B = 64.86° (rounded to the nearest hundredths)
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Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Alternative 1

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P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729

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Alternative 2

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The probability mass function for the Binomial distribution is given as:

P(Y)=(nCy)(p)^y (1-p)^{n-y}

Where (nCx) means combinatory and it's given by this formula:

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