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2 years ago

Solve the proportion. i need help. x+3/6=8/3 x=?

Mathematics

2 answers:

stellarik [79]2 years ago

6 0

Answer:

x = 2 1/6 (13/6)

Step-by-step explanation:

to solve the proportion you must first find the LCF or least common factor

that is 6

so turn 8/3 into 16/6 by multiplying it by 2/2

x + 3/6 = 16/6

then you subtract 3/6 from both sides

x = 13/6

x is 2 1/6

vodomira [7]2 years ago

4 0

Hope the attachment helps

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The following table shows the weights of nine subjects before and after following a particular diet for two months. Test the cla

Annette [7]

Using the t-distribution, it is found that there is not enough evidence that the diet is helping people lose weight.

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

At the null hypothesis, it is tested if the mean hasn't decreased, that is:

$H_0: \mu_B \leq \mu_A$

$H_0: \mu_B - \mu_A \leq 0[qtex]At the alternative hypothesis, it is tested if the mean has decreased, that is:[tex]H_1: \mu_B - \mu_A > 0[qtex]What are the mean and the standard error for the distribution of differences?For each sample, they are given as follows:[tex]\mu_B = 170.44, s_B = \frac{29.275}{\sqrt{9}} = 9.7583$ .

$\mu_A = 160.56, s_A = \frac{24.203}{\sqrt{9}} = 8.067$ .

Hence, for the distribution of differences, they are:

$\overline{x} = \mu_B - \mu_A = 170.44 - 160.56 = 9.88$ .

$s = \sqrt{s_B^2 + s_A^2} = \sqrt{9.7583^2 + 8.067^2} = 11.66$

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

The test statistic is:

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

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

Hence:

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

$t = \frac{9.88 - 0}{11.66}$

t = 0.85.

Considering a right-tailed test with 9 + 9 - 2 = 16 df, with a standard significance level of 0.05, the critical value is t = 1.7459. Since t = 0.85 < 0.85, there is not enough evidence that the diet is helping people lose weight.

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

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Star Wars land encompasses an area of 14.0 acres. [1.00 acre = 4046.86m2]. If Star Wars land were made into a circle, what would

Free_Kalibri [48]

Answer:

<h3>The answer is 134.29 m</h3>

Step-by-step explanation:

First of all we need to convert 14.0 acres to m²

1.00 acre = 4046.86 m²

14.0 acres = 14 × 4046.86 = 56656.04 m²

Area of a circle = πr²

where

r is the radius

To find the radius substitute the value for the area into the above formula and solve for the radius

That's

$56656.04 = \pi {r}^{2}$

Divide both sides by π

We have

${r}^{2} = \frac{56656.04}{\pi}$

Find the square root of both sides

$r = \sqrt{ \frac{56656.04}{\pi} }$

r = 134.29139

r = 134.29 m to 2 decimal places

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