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3 years ago

The following equation is being multiplied by the LCD. Complete the multiplication to eliminate the denominators

Mathematics

2 answers:

Blizzard [7]3 years ago

6 0

Answer:

(x-2)(x+2)-3x=(x-2)(x-3)

Step-by-step explanation:

on edge2020

frosja888 [35]3 years ago

4 0

Answer:

$(x+2)(x-2) -1(3x)=(x-3)(x-2)$

Step-by-step explanation:

x+2/3x - 1/x-2 = x-3/3x

$\frac{x+2}{3x}-\frac{1}{x-2}=\frac{x-3}{3x}$

LCD is (3x)(x-2). so we multiply the whole equation by LCD

$(3x)(x-2)(\frac{x+2}{3x}-\frac{1}{x-2}=\frac{x-3}{3x})$

We multiply each term by LCD

$(3x)(x-2)(\frac{x+2}{3x})-(3x)(x-2)(\frac{1}{x-2})=(3x)(x-2)(\frac{x-3}{3x})$

$(x+2)(x-2) -1(3x)=(x-3)(x-2)$

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3 years ago

5 In a scale drawing of an airplane, 1 inch equals 3 meters. The length of the actual plane is 17 meters. What is the length of

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Step-by-step explanation:

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3 years ago

The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If th

zlopas [31]

Answer:

$P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)$

And we can find this probability with the complement rule:

$P(Z>-1)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:

$X \sim N(10,2)$