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3 years ago

What is the answer for 3r+8=2r+12

Mathematics

2 answers:

Marina86 [1]3 years ago

6 0

Answer:

r=4

Step-by-step explanation:

Nastasia [14]3 years ago

6 0

Answer:

r = 4

Step-by-step explanation:

3r+8=2r+12

Subtract 2r from each side

3r-2r+8=2r-2r+12

r+8 = 12

Subtract 8 from each side

r +8-8 = 12-8

r = 4

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The mean is: 10.666667

The medium is: is between 15

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A toy company had an order of five boxes to ship unfortunately this was 17 pounds over the shipping weight limit per order of ea

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28 pounds

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We have a total of 5 boxes, now we know that each box weighs 9 pounds, therefore:

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Which means there are 45 pounds in total.

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3 years ago

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Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:

$H_0: \mu_1 - \mu_2 = 0$

At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:

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

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$s_1 = \frac{45.1}{\sqrt{22}} = 9.6154$

$s_2 = \frac{26.4}{\sqrt{22}} = 5.6285$

The distribution of the differences is has:

$\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14$

The test statistic is given by:

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

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

Hence:

$t = \frac{25 - 0}{11.14}$

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The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.

Using a t-distribution calculator, this p-value is of 0.0302.

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A similar problem is given at brainly.com/question/25600813

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