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salantis [7]
2 years ago
12

For the data set 6, 5, 10, 11, 13, the mean, X, is 9. What is the standard deviation?

Mathematics
1 answer:
Ket [755]2 years ago
4 0

Answer:

standard deviation = 3.0331

Step-by-step explanation:

You can solve for this two different ways.

If you have a TI-84 calculator or something similar, type all the data into list 1. Then click the stat button, then the calc button, then 1-vars stats. This will give you mean, standard deviation, median, mode, etc.

If you are solving by hand, find the different between each data point and the mean. Square these numbers and find the average. Then take the square root of that.

3^2 + 4^2 + 1^2 + 2^2 + 4^2 = 46

46/5 = 9.2

square root of 9.2 = 3.0331

Hope this is helpful!!!!!!!!!!! :)

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Step-by-step explanation:

Atmost means less than 45:

Let us assume number is x

x<45(at most)

Atleast means more than 45:

x>45

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2 years ago
Discussion for Applications of Linear Systems
Lostsunrise [7]

Step-by-step explanation:

There are certain methods for solving a system of equations. Some of which are:

  • Substitution Method
  • Elimination Method
  • Graphing Method

<em>Substitution Method</em>

Substitution method to solve a system of equations is suitable if a variable of a any equation seems isolated or could comfortably be isolated without any ration/fraction resulting.

For example, for the following system of equations

x - 2y = 11....[A]

x = 5 - y....[B]

substituting the value of x = 5 - y from equation [B] into equation [A], so that

(5 - y) - 2y = 11

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<em>Elimination Method</em>

Elimination method to solve a system of equations is suitable if both equation are in standard form, and just adding or subtracting the equations to determine an equation in one variable.

For example, for the following system of equations

2x + 7y = -5....[C]

5x - 7y = 12....[D]

Adding Equation [C] and Equation [D].

7x + 0 = 7

x = 1

<em>Graphing Method</em>

Sometimes graphing method may be used to solve the system of the equation and visualize the solution.

For example,

y = -2....[E]

y = 3x + 1....[F]

The solution for this system of equation is the point of intersection of both the lines, which is shown in attached figure. The point of intersection is (-1, -2).

Hence, the solution of this system of equations is (-1, -2), as shown in attached figure.

<em>Keywords: system of equations, elimination method, substitution method, graphing method</em>

<em>Learn more about solution of system of equations from brainly.com/question/2643311</em>

<em>#learnwithBrainly</em>

6 0
3 years ago
Ms. McNeil buys 2.4 gallons of gasoline. the total cost is $7.56. Write and solve an equation to find the price p in dollars of
tino4ka555 [31]
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7.56/2.4 = 3.15, 

p= 3.15
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3 years ago
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