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3 years ago

6x - 9= y y= -3x using the system of linear equation by substitution Help please! This is due really soon

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

Answer:

x = 1 and Y = -3

Step-by-step explanation:

Rewrite equations:

y=−3x;6x−9=y

Step: Solvey=−3xfor y:

y=−3x

Step: Substitute−3xforyin6x−9=y:

6x−9=y

6x−9=−3x

6x−9+3x=−3x+3x(Add 3x to both sides)

9x−9=0

9x−9+9=0+9(Add 9 to both sides)

9x=9

(Divide both sides by 9)

x=1

Step: Substitute1forxiny=−3x:

y=−3x

y=(−3)(1)

y=−3(Simplify both sides of the equation)

Answer:

x=1 and y=−3

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3 years ago

A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a

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Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

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.

A real estate agent has 12 properties that she shows.

This means that $n = 12$

She feels that there is a 30% chance of selling any one property during a week.

This means that $p = 0.3$

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

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

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$P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712$

$P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678$

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0.2528 = 25.28% probability of selling no more than 2 properties in one week.

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