What is the perpendicular bisector of the line segment whose endpoints are (3,1) and (-9,-5)

Find the distance between the points A(2,-1) and B(-4, 2). (simplify your answer)

Pani-rosa [81]

Answer:

$d = 3\sqrt{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point A (2, -1)

Point B (-4, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]: $d = \sqrt{(-4-2)^2+(2+1)^2}$
Subtract/Add: $d = \sqrt{(-6)^2+(3)^2}$
Exponents: $d = \sqrt{36+9}$
Add: $d = \sqrt{45}$
Simplify: $d = 3\sqrt{5}$

3 0

3 years ago

A normal distribution has a mean of μ = 100 with LaTeX: \sigmaσ = 20. If one score is randomly selected from this distribution,

alisha [4.7K]

Answer:

$P(100$

And we can find this probability with this difference:

$P(0$

And in order to find these probabilities we can using tables for the normal standard distribution, excel or a calculator.

$P(0$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(100,20)$