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3 years ago

Calculate the mean of this data set

Mathematics

2 answers:

AveGali [126]3 years ago

7 0

I can’t calculate the mean of this data set without a data set

GalinKa [24]3 years ago

6 0

What’s the data set. I have no idea what you are talking about

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This is due like right now, please help me!!!!

Varvara68 [4.7K]

$\bold{\huge{\orange{\underline{ Solution }}}}$

$\bold{\underline{ Given \: Rules}}$

The sum of the number in each of the four rows is the same
The sum of the numbers in each of the three columns is the same
The sum of any row does not equal the sum of any column

$\bold{\underline{ Let's \: Begin}}$

According to the Second rule :-

$\sf{ 75+b+83=76+80+d=a+81+85+78+c+e }$

$\sf{ 158 + b = 156 + d = 166 + a = 78 + c + e ...(1)}$

According to the first rule :- 

$\sf{ 75+76+a+78 = b+80+81+c = 83+86+d+e}$

$\sf{ 229 + a = 161 + b + c = 168 + d + e ...(2)}$

From ( 1 ) we got :-

$\sf{ 158 + b = 166 + a, 156 + d = 166 + a }$

$\sf{ b = 166 - 158 + a, d = 166 - 156 + a }$

$\sf{ b = 8 + a, d = 10 + a ...(3)}$

Subsitute (3) in ( 2 ) :-

$\sf{229+a = 161+8+a+c = 168+10+a+e}$

$\sf{ 229+a = 169+a+c = 178+a+e}$

We can write it as :-

$\sf{ 229+a = 169+a+c \:or\:229+a = 178+a+e}$

$\sf{ c = 299-169+a-a\:or\:e = 229-178+a-a}$

$\sf{ c = 60 \: and \: e = 51 }$

Subsitute the value of c and e in ( 1 ):-

$\sf{ 158 + b = 156 + d = 166 + a = 78 + 60 + 51 }$

$\sf{ 158 + b = 156 + d = 166 + a = 189}$

Now, 

$\sf{ For \: b, 158 + b = 189 }$

$\sf{ b = 189 - 158 }$

$\sf{ b = 31}$

$\sf{ For \: d , 156 + b = 189 }$

$\sf{ d = 189 - 156 }$

$\sf{ d = 33}$

$\sf{ For \: a, 166 + a = 189 }$

$\sf{ a = 189 - 166 }$

$\sf{ a = 23 }$

Hence, The value of a, b, c, d and e is 23, 31 ,60 ,33 and 51 .

8 0

3 years ago

What is the perimeter of a semi-circle measuring 8cm

Margaret [11]

The perimeter of a circle is its total circumference, but in this case a semi-circle will measure half the circumference plus its diameter.
If the semicircle measures 8cm then the total circle is 16 cm, and we can calculate its diameter or radius from there. The perimeter is defined as:
p = pi*diameter = 16
diameter = 16/pi = 16/3.14
diameter = 5.1 cm
Therefore the semi-circle perimeter is:
perimeter = semi-circle + diameter = 8 + 5.1 = 13.1 cm

6 0

3 years ago

Ive labeled the ordered pairs but what does it mean by state the quadrant or axis in/on which the point is located

irina1246 [14]

So the image below shows what quadrants are. From the top-right square, the order of quadrants goes from 1-4 in a counter-clockwise matter.

Quadrant I: Top-right square

Quadrant II: Top-left square

Quadrant III: Bottom-left square

Quadrant IV: Bottom-right square.

Any points that are on the bolded vertical line are on the y-axis, and any points on the bolded horizontal line is on the x-axis.