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2 years ago

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What is a proportional relationship?

1 answer:

sesenic [268]2 years ago

3 0

A proportional relationship is between two variables where their ratios are equivalent. Another way to explain is one variable is always a constant value times the other . Which is known as the “constant proportionality”

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Which angles are corresponding angles?

erastovalidia [21]

Corresponding angles are angles that are located in the same area at each intersection.

Angles 7 and 3 are vertical angles.

The answer is C, angles 3 and 11 are corresponding angles.

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2 years ago

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VMariaS [17]

Answer:

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Step-by-step explanation:

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2 years ago

What is the final amount if 1548 is increased by 5% followed by a further 6% increase?

stiv31 [10]

Answer:

1,718.28

Step-by-step explanation:

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3 years ago

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2 years ago

Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbar

Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : $n=45$

$\overline{x}=148.79\text{ lb}$

$\sigma=31.37\text{ lb}$

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = $\mu=148.79\text{ lb}$

b) The confidence interval for the population mean is given by :-

$\mu\ \pm E$ , where E is the margin of error.

Formula for Margin of error :-

$z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha=1-0.90=0.1$

Critical value : $z_{\alpha/2}=z_{0.05}=\pm1.645$

Margin of error : $E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69$

Now, the 90% confidence interval for the population mean will be :-

$148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)$

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

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2 years ago