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Free_Kalibri [48]
2 years ago
14

If PA. = 0.8, PB. = 0.3 and P(A|B) = 0.6, what is P(A and B)

Mathematics
1 answer:
Sergio [31]2 years ago
8 0

Answer:

p(A∩B) = 0.18

Step-by-step explanation:

<u><em>Formula</em></u> :

p\left( A|B\right)  =\frac{p\left( A\cap B\right)  }{p\left( B\right)  }

………………………………

⇒ p(A∩B) = p(B)×p(A/B)

⇒ p(A∩B) = 0.3 × 0.6

                = 0.18

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Find the common difference of the arithmetic sequence -3, -9, -15
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Answer:

they are subtracting 6 from each number

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3 years ago
Seis manzanas y 8 peras cuestan $26. ¿Cuanto cuesta cada pera y cada manzana sabiendo que cada manzana cuesta el triple de lo qu
Rom4ik [11]

Usando un sistema de ecuaciones, se encuentra que

  • Cada manzana cuesta $3.
  • Cada pera cuesta $1.

-----------------------

  • Un sistema de ecuaciones soluciona esta pergunta.
  • El custo de una manzana es x.
  • El custo de una pera es y.

-----------------------

  • <u>Seis manzanas y 8 peras cuestan $26</u>, o sea, 6x + 8y = 26
  • <u>Cada manzana cuesta el triple de cada pera</u>, o sea, x = 3y

-----------------------

Primero, encontramos el cuesto de una pera, substituyendo la segunda en la primera ecuación.

6x + 8y = 26

6(3y) + 8y = 26

18y + 8y = 26

26y = 26

y = \frac{26}{26}

y = 1

Cada pera cuesta $1.

-----------------------

<u>Cada manzana cuesta el triple de cada pera</u>, o sea, x = 3y = 3(1) = 3.

Cada manzana cuesta $3.

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