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3 years ago

-12.2x - 13.4x = -179.2 what does x equal

Mathematics

1 answer:

sp2606 [1]3 years ago

6 0

Use cy math hunni it’s perfect

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Please Help! Multiple Choice!

Katyanochek1 [597]

Using the z-distribution, the p-value would be given as follows:

b) 0.0086.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis we test if the means are equal, hence:

$H_0: \mu_D - \mu_C = 0$

At the alternative hypothesis, it is tested if they are different, hence:

$H_1: \mu_D - \mu_C \neq 0$

<h3>What are the mean and the standard error for the distribution of differences?</h3>

For each sample, they are given as follows:

$\mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086$

$\mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556$

Hence, for the distribution of differences, they are given by:

$\overline{x} = 12 - 14 = -2$ .

$s = \sqrt{0.6086^2 + 0.4556^2} = 0.76$

<h3>What is the test statistic?</h3>

The test statistic is given by:

$z = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$z = \frac{\overline{x} - \mu}{s}$

$z = \frac{-2 - 0}{0.76}$

z = -2.63.

Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.

Hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/13873630

#SPJ1

4 0

2 years ago

Find the axis of symmetry and the vertex and graph the following: f(x)=(x+2)(x-4)

algol [13]

something noteworthy is that the independent and squared variable in this case will be the "x", namely the graph of that quadratic is a vertical parabola.

$\bf f(x) = (x+2)(x-4)\implies 0=(x+2)(x-4)\implies x = \begin{cases} -2\\ 4 \end{cases} \\\\\\ \boxed{-2}\rule[0.35em]{7em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}\stackrel{\downarrow }{1}\rule[0.35em]{10em}{0.25pt}\boxed{4}$

so the parabola has solutions at x = -2 and x = 4, and its vertex will be half-way between those two guys, namely at x = 1.

since this is a vertical parabola, its axis of symmetry, the line that splits its into twin sides, will be a vertical line, and it'll be the x-coordinate of the vertex, since the vertex hasa a coordinate of x = 1, then the axis of symmetry is the vertical line of x = 1.

8 0

3 years ago

Find the volume of this object

Romashka-Z-Leto [24]

Answer:

$423 cm^{3}$