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geniusboy [140]
3 years ago
8

If the sum of two numbers is 13 and their product is 36, what are they? 2, 13 4, 13 13, 36 4, 9

Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0
The answer is 4 and 9. 4+9=13 and 4 x 9=36
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Decimal division is super easy, let me show you how.

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Answer:

  1. 0.80
  2. 0.289
  3. 0.20
  4. 0.711

Step-by-step explanation:

Given:

P(S\cap F)=0.44\\P(S\cap F^{c})=0.13\\P(S^{c}\cap F^{c}) = 0.32\\P(S^{c}\cap F) = 0.11

The rule of total probability states that:

P(A) = P(A\cap B) + P(A\cap B^{c})

Compute the individual probabilities as follows:

P(S) = P(S\cap F) + P(S\cap F^{c})\\=0.44+0.13\\0.57

P(S^{c}) = 1 - P(S)\\=1-0.57\\=0.43

P(F) = P(S\cap F) + P(S^{c}\cap F)\\=0.44+0.11\\=0.55

P(F^{c})=1-P(F)\\=1-0.55\\=0.45

Conditional probability of an event A given B is:

P(A|B)=\frac{P(A\cap B)}{P(B)}

  • Compute the value of P(S|F):

         P(S|F)=\frac{P(S\cap F)}{P(F)}\\=\frac{0.44}{0.55}\\=0.80

  • Compute the value of P(S|F^{c})

        P(S|F^{c})=\frac{P(S\cap F^{c})}{P(F^{c})}\\=\frac{0.13}{0.45}\\=0.289

  • Compute the value of P(S^{c}|F)

        P(S^{c}|F)=\frac{P(S^{c}\cap F)}{P(F}\\=\frac{0.11}{0.55}\\=0.20

  • Compute the value ofP(S^{c}|F^{c})

       P(S^{c}|F^{c})=\frac{P(S^{c}\cap F^{c})}{P(F^{c})}\\=\frac{0.32}{0.45}\\=0.711

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