How do you simplify this?

Mathematics

1 answer:

timama [110]3 years ago

4 0

Notice how the top is an addition of two cubes, namely x and 2.

You can rewrite the equation as:

$\frac{x^{3} + 2^{3}}{x + 2}$

Now, (a + b)³ can be simplified down to (a + b)(a² - ab + b²)
Following the same pattern, we get:

$\frac{(x + 2)(x^{2} - 2x + 4)}{x + 2}$
$= x^{2} - 2x + 4$

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Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably norma

Nataliya [291]

Answer:

The degrees of freedom is 11.

The proportion in a t-distribution less than -1.4 is 0.095.

Step-by-step explanation:

The complete question is:

Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the proportion in a t-distribution less than -1.4 if the samples have sizes 1 = 12 and n 2 = 12 . Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places. degrees of freedom = Enter your answer; degrees of freedom proportion = Enter your answer; proportion

Solution:

The information provided is:

$n_{1}=n_{2}=12\\t-stat=-1.4$