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spin [16.1K]
3 years ago
9

To find the average of a set of numbers, add up all the items and divide by?

Mathematics
1 answer:
kati45 [8]3 years ago
4 0

Answer:

you add up all of the items and then divide by the total number of items.

Step-by-step explanation:

For example,

Total/Number of Items = Average

Set: 1,6,4,5

(1+6+4+5)/4

16/4 = 4

4 is the average of the items above.

Good luck!!

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Item 15 Question 1 Show that quadrilateral WXYZ with vertices W(−1,6), X(2, 8), Y(1, 0), and Z(−2,−2) is a parallelogram by find
Aliun [14]

Answer:

Multiple answers

Step-by-step explanation:

A parallelogram is a flat shape that has four sides. The two sets of opposite sides are parallel and of equal length to each other.

To prove that our figure is a parallelogram we first get the slope of our sides.

The formule we use to get the slope is:

m = \frac{y-y1}{x-x1}

  1. first we have the W-Z side that it's supossed to be parallel to X-Y side

if we use our formule to calculate the slope of W-Z:

\frac{6-(-2)}{-1-(-2)}  =  \frac{8}{1}  =  8

if we use our formule to calculate the slope of X-Y:

\frac{8-0}{2-1}  =  \frac{8}{1}  =  8

  • We know that parallel lines will never intersect because they have the same slope, therefore W-Z side is parallel to X-Y side

2. Then we have the W-X side that it's supossed to be parallel to Z-Y side

if we use our formule to calculate the slope of W-X:

\frac{6-8}{-1-2}  =  \frac{-2}{-3}  

if we use our formule to calculate the slope of Z-Y:

\frac{-2-0}{-2-1}  =  \frac{-2}{-3}  

  • We know that parallel lines will never intersect because they have the same slope, therefore W-X side is parallel to Z-Y side

Then we have to prove that the parallalel sides are equal length to each other.

The formule we use to get the distance between two points is:

\sqrt{(x2-x1)^{2}+(y2-y1)^{2}  }

We calculate the lenght of the W-Z side that it's supossed to be equal to X-Y side:

W-Z = \sqrt{(-1-(-2))^{2}+(6-(-2))^{2}  } =   \sqrt{65}

X-Y = \sqrt{(2-1)^{2}+(8-0)^{2}  } = \sqrt{65}

So the W-Z side have the same lenght to X-Y side.

We calculate the lenght of the W-X side that it's supossed to be equal to Z-Y side:

W-X = \sqrt{(-1-2)^{2}+(6-8)^{2}  } =   \sqrt{13}

Z-Y = \sqrt{(-2-1)^{2}+(-2-0)^{2}  } = \sqrt{13}

So the W-X side have the same lenght to Z-Y side.

6 0
3 years ago
Ben is 18 years old. He decided to start investing $180 every month into an average mutual fund (interest rate 12%). How much mo
irina [24]

Answer:

$1,762,932.78

Step-by-step explanation:

180 per month at 12% apr for 40 years.

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The graph of f(x) = x3 + 6x2 + 12x + 8 is shown.
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Two real number solutions
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Answer would be -4 5/12

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a company uses two vans to transport workers from a free parking lot to the workplace between 7 and 9 a.m. One can has 14 more s
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Y = x + 14     (the larger bus has 14 more seats)
2x + y = 65       ( 2 x two times the seats , as it makes 2 trips the smaller van so the seats will be full twice maximum)

2x + x + 14 = 65   (sub the value of y = x+14 in the second equation)

3x = 51
x = 17 seat (smaller)
y = 31 seat (larger)
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4 years ago
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