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3 years ago

Which of the following is the quotient of the rational expressions shown below?

1 answer:

soldier1979 [14.2K]3 years ago

7 0

We have two rational expressions. One in numerator and one in denominator.
Dividing by a fraction is equivalent to multiplying by its reciprocal. The rational expression in the denominator can be multiplied by taking its reciprocal to simplify the overall expression as shown below.

$\frac{ \frac{4x+1}{6x} }{ \frac{x}{3x-1} } \\ \\ 
= \frac{4x+1}{6x} * \frac{3x-1}{x} \\ \\ 
= \frac{(4x+1)(3x-1)}{6 x^{2} }$

There are no common factors, so the expression can be simplified any further.

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The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002 inch. Suppose that the speci

Leni [432]

Answer:

0.0002 inch

Step-by-step explanation:

The empirical rule of the normal distribution, the 68-95-99.7 rule, means

if the mean is μ and the standard deviation is σ,

68% of data lies within μ - σ and μ + σ,

95% of data lies within μ - 2σ and μ + 2σ,

99.7% of data lies within μ - 3σ and μ + 3σ.

From the question, μ = 0.002.

The required range is 0.0014 to 0.0026.

With a probability of 0.9963, then 0.9963 × 100% = 99.63% should lie within the range. This approximately corresponds to μ - 3σ and μ + 3σ.

μ - 3σ = 0.0014

0.002 - 3σ = 0.0014

3σ = 0.0006

σ = 0.0002

Hence, the standard deviation is 0.0002 inch

We can check with the other end of the range:

μ + 3σ = 0.0026

3σ = 0.0026 - 0.002

3σ = 0.0006

σ = 0.0002

7 0

3 years ago

A libary has 2000 books. there are 3 times as many non fiction books as fiction books. write and solve a system of equations to

Andru [333]

A: number of nonfiction books
b: number of fiction books
a+b=2000
a=3b
b=500
a=1500

4 0

3 years ago

If the frequency of a sound decreases, what happens to the wavelength?

madam [21]

Answer: The wavelength increases

Step-by-step explanation:

As frequency increases, wavelength decreases. Frequency and wavelength are inversely proportional. This basically means that when the wavelength is increased, the frequency decreases and vice versa.

Hope that this helps! Have a great day!

7 0

3 years ago

Divide: 8x^3 y^5 / 4x^2 y^3

prisoha [69]

$2 {x}^{5} {y}^{8}$

Step-by-step explanation:

yes

3 0

2 years ago

On the coordinate grid of a map, Josie's house is located at (2,7). Her school is located at (-5,5). If each map unit equals one

oksian1 [2.3K]

To find the distance you would use the distance formula which is:
$d = \sqrt{(x2-x1)^{2}+(y2-y1)^{2}} = \sqrt{(2-(-5))^{2}+(7-5)^{2}}$

This equals:
$d = \sqrt{(7)^{2}+(2)^2} = \sqrt{49+4} = \sqrt{53} = 7.2801$

7 0

3 years ago

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