3 years ago

What is the distance, in radical form, between the points (4,6) and (8,-2)?

1 answer:

6 0

$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} \\d = \sqrt{(8 - 4)^{2} + (-2 - 6)^{2}} \\d = \sqrt{(4)^{2} + (-8)^{2}} \\d = \sqrt{16 + 64} \\d = \sqrt{80} \\d = \sqrt{16 * 5} \\d = \sqrt{16}\sqrt{5} \\d = 4\sqrt{5}$

You might be interested in

A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar, is found

Citrus2011 [14]

Answer:

a: 105.2 < µ < 112.8

b: 104.872 < µ < 113.128

c: 105.841 < µ < 112.159

d: No, because n < 30

Step-by-step explanation:

For a - c, see attached photos for work. There are 2 formulas to use. The steps for constructing any confidence interval are the same, you will just use different numbers in the formula depending on what data is given to you.

d: With large sample sizes, the data often resembles normally distributed data, so we can still construct confidence intervals from the data.