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3 years ago

How to work out a magic square

Mathematics

1 answer:

zloy xaker [14]3 years ago

8 0

Do you just need the 3 by 3? Then see attached.

To see how to make other ODD magic squares 1728.com/magicsq1.htm

To see how to make EVEN (divisible by 4) magic squares 1728.com/magicsq2.htm

To see how to make EVEN magic squares (NOT divisible by 4) 1728.com/magicsq3.htm

I think that should answer yor question.

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Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a per

Step2247 [10]

A scatter diagram has points that show the relationship between two sets of data.

We have the following data,

$\left\begin{array}{ccccccc}\mathrm{x}&3&7&15&32&74\\\mathrm{y}&40&35&30&25&17\end{array}\right$

where x is the average number of employees in a group health insurance plan and y is the average administrative cost as a percentage of claims.

To make a scatter diagram you must, draw a graph with the independent variable on the horizontal axis (in this case x) and the dependent variable on the vertical axis (in this case y). For each pair of data, put a dot or a symbol where the x-axis value intersects the y-axis value.

Linear regression is a way to describe a relationship between two variables through an equation of a straight line, called line of best fit, that most closely models this relationship.

To find the line of best fit for the points, follow these steps:

Step 1: Find $X\cdot Y$ and $X\cdot X$ as it was done in the below table.

Step 2: Find the sum of every column:

$\sum{X} = 131 ~,~ \sum{Y} = 147 ~,~ \sum{X \cdot Y} = 2873 ~,~ \sum{X^2} = 6783$

Step 3: Use the following equations to find intercept a and slope b:

$\begin{aligned} a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 147 \cdot 6783 - 131 \cdot 2873}{ 5 \cdot 6783 - 131^2} \approx 37.05 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 5 \cdot 2873 - 131 \cdot 147 }{ 5 \cdot 6783 - \left( 131 \right)^2} \approx -0.292\end{aligned}$

Step 4: Assemble the equation of a line

$\begin{aligned} y~&=~a ~+~ b \cdot x \\y~&=~37.05 ~-~ 0.292 \cdot x\end{aligned}$

6 0

3 years ago

What are two numbers that can be multiplied together to equal -30 but also the same two numbers add up to -5

Orlov [11]

I’d say -1 but you probably need a better answer so I’d say -2.5

7 0

3 years ago

You Fit Gym is equidistant and collinear from Target and Pizza Hut. Target is located at point (-17, 17) and You Fit Gym is at (

Paul [167]

Answer:

The coordinates of the Pizza Hut is (6,-11)

Step-by-step explanation:

Gym is equidistant and collinear from Target and Pizza Hut.

T (-17, 17) : $(x_1,y_1)$

G (-5.5, 3) : (x,y)

P : $(x_2,y_2)$

Mid point formula ; (x,y) is on mid point on line formed by joining points $(x_1,y_1)$ and $(x_2,y_2)$

m = 1, n = 1

$x=\frac{x_1+x_2}{2}$

$-5.5=\frac{-17+x_2}{2}$

$-11=-17+x_2$

$x_2=17-11 = 6$

$y=\frac{y_1+y_2}{2}$

$3=\frac{17+y_2}{2}$

$6=17+y_2$

$y_2=-17+6 = -11$

The coordinates of the Pizza Hut is (6,-11)

4 0

3 years ago

Complete the problems in measurements. Show answers in simplest terms.

Gala2k [10]

1lb = 16 oz
5(16)=80 lbs of dog food
80/7=11.4 days

3 0

2 years ago

Write a quadratic equation in standard form that has two solutions, 6 and - 8

Allisa [31]

We want an equation which equals
0
at the given points
6
and
−
10
.
Our quadratic equation should be a product of expressions which are zero at the specified roots.
Consider
(
x
−
6
)
⋅
(
x
+
10
)
=
0
This equality holds if
x
=
6
since
(
6
−
6
)
⋅
(
6
+
10
)
=
0
⋅
16
=
0

And the equality holds if
x
=
−
10
since
(
−
10
−
6
)
⋅
(
−
10
+
10
)
=
−
16
⋅
0
=
0
Expanding this equation by the FOIL method, we get:
x
2
+
10
x
−
6
x
−
60
Combining like terms, we find our solution:

6 0

3 years ago