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marusya05 [52]
3 years ago
7

Simplify (2x^{2} - 5x + 3) - (-x^{2} + 4x - 5)

Mathematics
1 answer:
MrRissso [65]3 years ago
5 0

Answer:

3x^2 - 9x + 8

Step-by-step explanation:

To simplify:

  • Distribute the -1 into the second term.
  • Collect and combine like-terms (terms with the same variables or powers)

The expression can be rewritten has (2x^2 - 5x + 3) -1(-x^2 + 4x - 5)

After distributing the -1, the equation becomes:

  • (2x^2 - 5x + 3) + (x^2 - 4x + 5)

The like-terms are:

  • 2x^2 and x^2
  • -5x and -4x
  • 3 and 5

Combine the like-terms:

  • 2x^2 + x^2 = 3x^2
  • -5x - 4x = -9x
  • 3 + 5 = 8

Substitute the simplified like-terms into the expression, in descending order:

  • 3x^2 - 9x + 8
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Step-by-step explanation:

To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:

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The variance can be calculated as:

V=\sum p_i(X_i-\bar{X})^2\\\\V=0.603(2-1.57)^2+(0.067+0.297)*(1-1.57)^2+0.033*(0-1.57)^2\\\\V=0.603*0.1849+0.364*0.3249+0.033*2.4649\\\\V=0.1115+0.1183+0.0813\\\\V=0.3111

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