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Bond [772]
3 years ago
5

The least common denominator of the rational numbers x^2-y^2/(x^2-8x+15) and y^2/15(x^2-6x+9) is

Mathematics
1 answer:
Mashutka [201]3 years ago
7 0

Answer:

15(x - 5)(x - 3)²

Step-by-step explanation:

factor both denominators and see what you need to do to make them equal...

(x² - y²)/[(x - 5)(x - 3)]           y²/[15(x - 3)(x - 3)]

the first denominator has (x - 5)(x - 3)          

the second denominator has 15(x - 3)(x - 3),

the least common denominator between them would be

15(x - 5)(x -3)(x - 3)     or  15(x - 5)(x - 3)²

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lana66690 [7]

Answer:

you<u> accept </u>the alternative hypothesis

Step-by-step explanation:

The null and alternative hypothesis can be computed as follows:

H_o: p = 0.64 \\ \\ H_1: p \le 0.64

The sample proportion \hat p = \dfrac{x}{n}

\hat p = \dfrac{52}{100}

\hat p = 0.52

The test statistics can be computed as:

Z = \dfrac{\hat p -p_o}{ \sqrt{ \dfrac{p_o \times (1-p_o)}{ n} }}}

Z = \dfrac{0.52 -0.64}{ \sqrt{ \dfrac{0.64 \times (1-0.64)}{ 100} }}}

Z = -2.5

The P-value = 2( Z< -2.5)

From the tables;

The P-value = 2 (0.0062)

The P-value = 0.0124

The significance level = 0.01

Since the P-value is > significance level; we fail to reject the null hypothesis.

Conclusion: we accept the alternative hypothesis

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3 years ago
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Neporo4naja [7]

Answer:

Yes.

Step-by-step explanation:

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3 years ago
Which of the following lists of fractions are in order from least to greatest? Select TWO that apply.
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