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Kitty [74]
2 years ago
6

If (x, y) is a solution to the system of equations, what is the value of y? 1/4 x + 1/8 y = 2 1/3 x + 1/2 y = 4 A) 4 B) 6 C) -6

D) -4
Mathematics
1 answer:
andre [41]2 years ago
5 0
<h3>The value of y is 4</h3>

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

\frac{1}{4}x + \frac{1}{8}y =2 ---------- eqn\ 1\\\\\frac{1}{3}x + \frac{1}{2}y = 4 -------------- eqn\ 2

We have to find value of y

From eqn 1,

\frac{1}{4}x + \frac{1}{8}y =2 \\\\2x + y = 2 \times 8\\\\2x + y = 16 ---- eqn\ 3

From eqn 2,

\frac{1}{3}x + \frac{1}{2}y = 4\\\\2x + 3y = 4 \times 6\\\\2x + 3y = 24 ------ eqn\ 4

Subtract eqn 3 from eqn 4

2x + 3y = 24

2x + y = 16

( - ) -----------------

2y = 8

y = 4

Thus value of y is 4

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A Game of Thrones fan predicts there is a 70% chance that her favorite character will survive the next season and a 75% chance t
zepelin [54]

Answer:

  • <em>The probability that the second favorite character will die given that the first favorite character dies is</em><u> 0.53</u>

  • <u>This kind of probability is called conditional probability</u>

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Name the events and their probabiities:

  • Event  A: her favorite character will survive, so P (A) = 0.70

  • Event B: her her second favorite character will die, so P(B) = 0.75

  • Both characters will die ⇒ P (B and not A) = 0.16

You want to find P (B | not A).

That is the probability of the succes B (the second favorite character will die) given other event (not A or the first favorite character dies) is certain (it happens) and that is called conditional probability.

  • P (not A) is the complement probability of A, so P (not A) = 1 - P(A) = 1 - 0.7 = 0.3

So, you have P(B), P(not A) and want to find P (B | not A)

The definition of conditional probability is:

  • P (X | Y) = P (X and Y) / P (Y)

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