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2 years ago

What are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x² + x - 12?

Mathematics

1 answer:

Hitman42 [59]2 years ago

4 0

Answer:

All the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12 are 3/4 and -4/5.

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Simplify the following expression.<br><br> 0.82 / 0.2

AlekseyPX

Answer:

0.41

Step-by-step explanation:

0.82 = 0.2 x 0.41

0.82 / 0.2

= ( 0.2 x 0.41 ) / 0.2

= 0.41

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3 years ago

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4 points

madreJ [45]

Step-by-step explanation:

Compounded monthly means n=12

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3 years ago

What 17 multiply and adds to get -2

Marrrta [24]

17 * 0 + -2.

Now we rewrite the equation and make it 17 * 0 - 2 and u get -2.

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3 years ago

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Find all numbers whose absolute value is 8.

Vika [28.1K]

8 is 8's absolute value.

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3 years ago

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is µd =

ahrayia [7]

Answer:

d: 2, 4, -6, 0, -1, -5, 0, 1

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{29}{8}=-0.625$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =3.378$

The next step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.625 -0}{\frac{3.378}{\sqrt{8}}}=-0.523$

And the correct option would be:

a. t = -0.523

Step-by-step explanation:

We assume the following notation:

x=test value after , y = test value before

x: 34 39 28 33 27 23 35 33

y: 32 35 34 33 28 28 35 32

The system of hypothesis for this case is given by:

Null hypothesis: $\mu_y- \mu_x = 0$

Alternative hypothesis: $\mu_y -\mu_x \neq 0$

The first step is calculate the difference $d_i=y_i-x_i$ and we obtain this:

d: 2, 4, -6, 0, -1, -5, 0, 1

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{29}{8}=-0.625$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =3.378$

The next step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.625 -0}{\frac{3.378}{\sqrt{8}}}=-0.523$

And the correct option would be:

a. t = -0.523

5 0

4 years ago