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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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Answer:

a) -10

b) 7

Step-by-step explanation:

a) 2(x + 3) = x - 4

=  > 2x + 6 = x - 4

=  > 2x - x =  - 4 - 6

=  > x =  - 10

b) 4(5x - 2) = 2(9x + 3)

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=  > 20x - 18x = 8 + 6

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3 0
3 years ago
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If 8 feet of fencing costs $12.40 , how much does 36 feet of fencing cost?
Vesnalui [34]

Answer:

$55.80

Step-by-step explanation:

8, 16, 24, 32, 36

8=12.40, 16=24.80, 24=37.2, 32=49.6,

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6 0
2 years ago
A recent study was conducted to explore the relationship between the weight of a car and miles per gallon (gas mileage). A linea
k0ka [10]

Answer: a.  iv. The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.

b. ii. There is a fairly strong, negative relationship between car weight and miles per gallon.

Step-by-step explanation:

  • A coefficient of determination (denoted by R²) is a measure in a regression model that determines proportion of the variance in the dependent quantity that is predictable from the independent quantity.
  • It is square of correlation coefficient (R).

Here,   independent quantity = weight of a car  

dependent quantity = miles per gallon (gas mileage)

The coefficient of determination (R²) was reported to be 79.6%.

That means, The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.

  • A correlation coefficient(R) tells about the strength and direction of relation .
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For the study, the correlation coefficient R is -0.8921.

There is a fairly strong, negative relationship between car weight and miles per gallon.

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True


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strojnjashka [21]

Answer:

D: 81

Step-by-step explanation:

3*3=9

9*3=27

27*3=81

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