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3 years ago

F(x)=3/2(x-2)^2-24 put this in standard form

Mathematics

1 answer:

gregori [183]3 years ago

6 0

Answer:

f(x) = 3x^2 - 12x - 36.

Step-by-step explanation:

f(x) =3 /2(x - 2)^2 - 24

f(x) = 3/2 (x^2 - 4x + 4) - 24

f(x) = 3/2 x^2 - 6x + 6 - 24

f(x) = 3/2 x^2 - 6x - 18

Multiply through by 2:

f(x) = 3x^2 - 12x - 36.

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3 years ago

Consider the following data to determine whether there is a significant difference between the values of Group 1 and Group 2. Le

cestrela7 [59]

Using the t-distribution, it is found that since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.

At the null hypothesis, we test if the groups have the same values, that is, the subtraction of their means is 0:

$H_0: \mu_2 - \mu_1 = 0$

At the alternative hypothesis, we test if the groups have different values, that is, the subtraction of their means is different of 0:

$H_1: \mu_2 - \mu_1 \neq 0$

First, we have to find the mean and the standard deviation for both samples, hence, using a calculator:

$\mu_1 = 18.75, \sigma_1 = 6.2507, \mu_2 = 19.75, \sigma_2 = 4.2678$

The standard errors are:

$s_1 = \frac{\sigma_1}{\sqrt{n_1}} = \frac{6.2507}{\sqrt{8}} = 2.21$

$s_2 = \frac{\sigma_2}{\sqrt{n_2}} = \frac{4.2678}{\sqrt{8}} = 1.5089$

For the distribution of differences, we have that:

$\overline{x} = \mu_2 - \mu_1 = 19.75 - 18.75 = 1$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.21^2 + 1.5089^2} = 2.676$

We have the standard deviation for the samples, hence, the t-distribution is used. The test statistic is given by:

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

In which $\mu$ is the value tested at the null hypothesis, which is 0 for this problem. Hence, the value of the test statistic is:

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

$t = \frac{1 - 0}{2.676}$

$t = 0.37$

To find the p-value, we have a two-tailed test, as we test if the means are different from a value, with t = 0.37 and 8 + 8 - 2 = 14 df.

Using a t-distribution calculator, this p-value is of 0.72.

Since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.

A similar problem is given at brainly.com/question/15682365

3 0

3 years ago

What is 80% of 72 ? pls help due today

Leni [432]

Answer:

Step-by-step explanation:

57.6

3 0

3 years ago

Read 2 more answers

Calculate the average rate of change from x = 0 to x = 3. Show work please

AURORKA [14]

$Rate=\frac{f(b)-f(a)}{b-a}=\frac{f(3)-f(0)}{3-0}=\frac{3-(-4)}{3}=\frac{7}{3}$

3 0

4 years ago

Ms.Groves has trays of paints for students in her art class.Each tray has5colors one of the colors is purple what fraction of th

Ivahew [28]

The answer is 1/5.

The fraction for 1 tray is 1/5, and when you have 20 trays, you can just simplify to get 1/5.

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4 years ago

F(x)=3/2(x-2)^2-24 put this in standard form​

F(x)=3/2(x-2)^2-24 put this in standard form