Two consecutive whole numbers the square root of 76 lies between

In your own words, explain the Normal Distribution and provide a real world example.

Answer:

The Normal distribution is a continuous probability distribution with possible values all the reals. Some properties of this distribution are:

Is symmetrical and bell shaped no matter the parameters used. Usually if X is a random variable normally distributed we write this like that:

$X \sim N(\mu , \sigma)$

The two parameters are:

$\mu$ who represent the mean and is on the center of the distribution

$\sigma$ who represent the standard deviation

One particular case is the normal standard distribution denoted by:

$Z \sim N(0,1)$

Example: Usually this distribution is used to model almost all the practical things in the life one of the examples is when we can model the scores of a test. Usually the distribution for this variable is normally distributed and we can find quantiles and probabilities associated

Step-by-step explanation:

The Normal distribution is a continuous probability distribution with possible values all the reals. Some properties of this distribution are:

Is symmetrical and bell shaped no matter the parameters used. Usually if X is a random variable normally distributed we write this like that:

$X \sim N(\mu , \sigma)$

The two parameters are:

$\mu$ who represent the mean and is on the center of the distribution

$\sigma$ who represent the standard deviation

One particular case is the normal standard distribution denoted by:

$Z \sim N(0,1)$

Example: Usually this distribution is used to model almost all the practical things in the life one of the examples is when we can model the scores of a test. Usually the distribution for this variable is normally distributed and we can find quantiles and probabilities associated

4 0

3 years ago

The distance a spring will stretch varies directly with how much weight is attached to the spring. if a spring stretches 9 inche

Tcecarenko [31]

9/100 = x/90
Cross multiply to get 810 = 100x
Divide both sides by 100 to get x = 81 inches

6 0

3 years ago

What is <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7B5%7D%20" id="TexFormula1"

frosja888 [35]

Multply both sides of the equation by 7.

$\dfrac{x}{7}\cdot 7=\dfrac{4}{5}\cdot 7\\\\x=\dfrac{28}{5}=5.6$

_____

When the variable is in the numerator of a proportion like this, you can solve it by multiplying by that denominator. That multiplication cancels the denominator and gives you the value of the variable.

In general, you multiply by the reciprocal of the coefficient of x. When that coefficient is 1/7, you multiply by 7/1. Of course, you know that 7/7 = 1 and that x/1 = x.

7 0

3 years ago

Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x

zimovet [89]

Answer:

2.8-5.4

Step-by-step explanation:

4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right

8 0

3 years ago

Solve the simultaneous equation <br> 2x - 5y = 9<br> 3x + 4y = 2

lianna [129]

Answer:

x = 2, y = -1.

Step-by-step explanation:

2x - 5y = 9

3x + 4y = 2

Multiply first equation by -3 and the second by 2:

-6x + 15y = -27

6x + 8y = 4 Adding the 2 equations:

23y = -23

y = -1.

Now substitute this value for y in the first equation:

2x - 5(-1) = 9

2x = 9 +5(-1)

2x = 9 - 5

2x = 4

x = 2.

8 0

3 years ago