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MissTica
3 years ago
9

What is the domain and range of : y=(1/3)^x

Mathematics
1 answer:
loris [4]3 years ago
6 0
X can be any number, so the domain is all real numbers (-∞, +∞)
y is always larger than 0 in this case, so the range is all real numbers larger than 0 (0, +∞)
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Find x in this 45°-45°-90° triangle.<br><br> x =
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Answer:

<u>x = 1.2√2</u>

Step-by-step explanation:

Taking the cosine value of the angle :

  • cos 45° = 1.2/x
  • 1/√2 = 1.2/x
  • <u>x = 1.2√2</u>
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The probability mass function of X is f(x)= 1/6, x 1.2...,6 then find out the value
Mumz [18]

For the given probability mass function of X, the mean is 3.5 and the standard deviation is 1.708.

  • A discrete random variable X's probability mass function (PMF) is a function over its sample space that estimates the likelihood that X will have a given value. f(x)=P[X=x].
  • The total of all potential values for a random variable X, weighted by their relative probabilities, is known as the mean (or expected value E[X]) of that variable.
  • Mean(μ) = 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) + 6(1/6).
  • Mean(μ) = (1+2+3+4+5+6)/6
  • Mean(μ) = 21/6
  • Mean(μ) = 3.5
  • The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution represents its standard deviation. It is denoted by 'σ'.
  • A random variable's variance (or Var[X]) is a measurement of the range of potential values. It is, by definition, the squared expectation of the distance between X and μ. It is denoted by 'σ²'.
  • σ² = E[X²]−μ²
  • σ² = [1²(1/6) + 2²(1/6) + 3²(1/6) + 4²(1/6) + 5²(1/6) + 6²(1/6)] - (3.5)²
  • σ² = [(1² + 2²+ 3² + 4²+ 5²+ 6²)/6] - (3.5)²
  • σ² = [(1 + 4 + 9 + 16 + 25 + 36)/6] - (3.5)²
  • σ² = (91/6) - (3.5)²
  • σ² = 15.167-12.25
  • σ² = 2.917
  • σ = √2.917
  • Standard deviation (σ) = 1.708

To learn more about variance, visit :

brainly.com/question/14116780

#SPJ9

6 0
2 years ago
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