How do we calculate or determine the distances to stars? What units do we use and what are the limitations (if any) of the method used for such calculations?

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Generally we use parallax to determine such things (meaning we use angles and simple Pythagorean math with really big numbers and very small angles), although a star's position relative to our orbital plane effects the ability to do so. Simply put, we plot angles while observing from two opposing points in Earth's orbit around the sun and use the line described by Earth's 2 points as the baseline for a triangle. Normally the ...

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Brief discussion on the measure of distances to stars in our galaxy

Assume that both samples are independent simple random samples from populations having normal distributions.
A random sample of 13 four-cylinder cars is obtained, and the braking distances are measured and found to have a mean of 137.5ft and a standard deviation of 5.8ft. A random sample of 12 six-cylinder cars is obtained and

Using GEOMETRY ONLY, for an equilateral triangular region, for which points is the sum of the distances to the sides of the triangle minimal? Please show me and do not point to a web site.

Braking Distances of Cars
A random sample of 13 four-cylinder cars is obtained and the breaking distances are measured and found to have a mean of 137.5 ft and a standard deviation of 5.8 ft. A random sample of 12 six-cylinder cars is obtained and the braking distances have a mean of 136.3 ft and a standard deviation of 9.7 f

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Let X = {A, B, C, D} with d(A, D) = 2, but all the other distances equal to 1. Check that d is a metric. Prove that the metric space X is not isometric to any subset of En for any n. Can you realise X as a subset of a sphere S2 of appropriate radius, with the spherical 'great circle' metric?

1. If you were to take $1 from a rich person and gave it to a poor person, the rich person looses less utility than the poor person gains. Would you agree or disagree, and why?
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The regression line is used to show how a response variable changes, o average, as an explanatory variable changes. You can use such a line to predict the value of the response variable for a particular value of the explanatory variable. the least-squares regression line, for the data given in the attachment is shown on the atta

1. Baker Company manufactures and sells 20,000 units of product X per month. Each unit of product X sells for $15 and has a
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5.22 A survey of employees at a large company found the following relative frequencies for the one-way distances they had to travel to arrive at work:
Number of Miles (One-Way)
A B C D E F GREATER THAN AN