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9966 [12]
1 year ago
15

points E,F and G are plotted on a number line at -1, 2 and 6 respectively. Find the coordinate o f the point that represents the

weighted average of E, F and G, if point E weighs twice as much as point F and point G weighs three times as much as point F.
Mathematics
1 answer:
Maslowich1 year ago
4 0

Answer:  3 is the weighted average

Step-by-step explanation:

A weighted average is sort of like it sounds. - Different data-points are given different weights as far as how much they affect the answer. It's like you had 4 people on a corporation's board and all four get to vote, but their votes count differently. Person A has a vote that counts as 3. Person B has a vote that counts as 2 votes. Persons C & D each have a vote that counts as just one vote. For peron A to get outvoted, all the others must gang up against him.

Okay, back to our actual problem ...

  • point E measures (-1) and has weight 2x weight of F
  • point F has a measure of 2 and no particular stated weight
  • point G measures 6 and has a weight of 3x weight of F

Since we can assign a weight to point F and the other weights will be based on that, let's just keep it simple and give point F a weight of 1.

That gives E a weight of 2, and G a weight of 3.

So, ...

E value times E weight is   (-1)   x   2 = -2

F value times F weight is      2   x   1 =   2

G value times G weight is   6   x   3 = 18

          Sum of (value x weight)  =  18

          Sum of the weights = 2 + 1 + 3 = 6

WE get the weighted average by taking the sum of (value x weight) products (18) and then dividing by the sum of the weights (6).

18/6 = 3, the weighted average

The point at coordinate 3 represents the weighted average.

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how many ways are there to adjust two quantities so that they are in a given proportional relationship? Explain your reasoning.
dolphi86 [110]
The question is, "how many ways ...". 

There are as many ways to solve a math problem as you can think of. (Some are shorter or easier than others.)

Essentially, an infinite number.
7 0
3 years ago
Is 10/18 and 45/18 proportional
ValentinkaMS [17]

Answer:

No

Step-by-step explanation:

10/18 does not equal 45/18

An example of a proportional number is:

4/5 and 8/10

Both numbers are multiplied by 2 making them proportional

10/18 and 45/18 are not proportional

Hope this helped :)

6 0
3 years ago
Plz Helppp meeee assapppp
Gwar [14]

Given:

A right angled triangle.

To find:

The value of x.

Solution:

We have,

Base = x

Hypotenuse = \sqrt{5}

In a right angle triangle,

\cos \theta = \dfrac{Base}{Hypotenuse}

For the given triangle,

\cos 45^\circ= \dfrac{x}{\sqrt{5}}

\dfrac{1}{\sqrt{2}}= \dfrac{x}{\sqrt{5}}

Multiply both sides by \sqrt{5}.

\dfrac{\sqrt{5}}{\sqrt{2}}= x

\dfrac{\sqrt{5}}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}= x

\dfrac{\sqrt{10}}{2}= x

Therefore, the required value of x is \dfrac{\sqrt{10}}{2}.

8 0
2 years ago
If L = 3 inches, W = 2 inches, and H = 8 inches, what is the volume of the rectangular prism?
Gelneren [198K]

Answer:

48in^3

Step-by-step explanation:

volume of rectangular prism formula: L*W*H

lets plug in values for:

l=length(3)

w=width(2)

h=height(8)

so

3*2*8=48

48in^3

Hope this helps!

4 0
2 years ago
What is the area of this figure? <br><br> Enter your answer in the box.
ale4655 [162]

Answer:

42 units squared

Step-by-step explanation:

break it up into smaller shapes. if you split the big shape at y = 2 and at y=-2, you'll get two triangles and one rectangle.

so the area of the rectangle = l x w

= 4 x 7

= 28

the area of the triangle is ( l x w )/2

= (7 x 2)/2

= 7

the other triangle is the same too

so the area of that is also 7.

now add all areas,

7+7+28 = 42

8 0
3 years ago
Read 2 more answers
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