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Diano4ka-milaya [45]
2 years ago
10

Convert the fraction 1/(x+1) to a denominator of x*3 + 1

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
7 0

Answer:

Step-by-step explanation:

Multiply and divide by    (x^{2} - x + 1)

the fraction becomes

\frac{x^{2} - x + 1 }{(x+1)(x^{2} -x +1)}

\frac{x^{2} -x +1}{x^{3}  +1}

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The opposite or absolute value is 5.2

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y = kx
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y = 45 ; x = 40

k = 45/40 
k = 1.125

y = 1.125x 

y will increase by 1.125 interval of x. 


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The probability mass function of X is f(x)= 1/6, x 1.2...,6 then find out the value
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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
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  • σ = √2.917
  • Standard deviation (σ) = 1.708

To learn more about variance, visit :

brainly.com/question/14116780

#SPJ9

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