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3 years ago

What is the solution for 2y=x+2 x-3y=-5

Mathematics

2 answers:

Mars2501 [29]3 years ago

8 0

Answer:

x = 4

y = 3

Step-by-step explanation:

Given equations :-

2y = x + 2
x - 3y = -5

Second equation can be written as ,

x - 3y = -5
-3y = -x - 5

Adding them :-

-3y + 2y = 2 -5
-y = -3
y = 3

Put this in (ii) :-

x = 3y - 5
x = 3*3 - 5
x = 9 -5
X = 4

Ainat [17]3 years ago

3 0

Answer:
X=4
Y=3
You welcome

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Answer:

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Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

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$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

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This means that $p = 0.3$

14 of these containers of paper.

This means that $n = 14$

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$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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$P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134$

$P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943$

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$P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963$

$P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067$

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