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GuDViN [60]
3 years ago
7

Find the weighted average of these values

Mathematics
2 answers:
Artemon [7]3 years ago
7 0
I am pretty sure that the main thing that we should do to solve this task is to do this : 5(0.75)+6(0.15)+7(0.10)3.75+0.9+0.7&#10;&#10;&#10;5.35 which is weighted average as it only can be found by adding <span>the products of each corresponding value. Hope everything is clear! Regards!</span>
mina [271]3 years ago
3 0

Answer:

Weighted Average =  Σwx /  Σw = 5.35  / 1 = 5.35

Step-by-step explanation:

The Formula for calculating the Weighted Average of a data set is;

Weighted Average =  Σwx /  Σw

Where

Σwx - Is the sum of the product of each weight, and its value

Σw - Is the sum of each weight

In  this case,

Σwx = (5.00 * (75.0 / 100)) + (6.00 * (15.0 / 100)) + (7.00 * (10.0 / 100))

       = (5.00 * 0.75) + (6 * 0.15) + (7 * 0.10)

       = 3.75 + 0.90 + 0.70

       = 5.35

Σw   = (75.0 / 100) + (15.0 / 100) + (10.0 / 100)

       = 0.75 + 0.15 + 0.1

       = 1

Hence, Weighted Average =  Σwx /  Σw = 5.35  / 1 = 5.35

 

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Phantasy [73]

Answers:

  • Pizza Uno = $5.25
  • Pizza Duo = $5.60

Those are the costs for a whole small pizza.

==========================================================

Explanation:

Let

  • x = cost of whole small pizza from Pizza Uno
  • y = cost of whole small pizza from Pizza Duo

x and y are some dollar amount, so they cannot be negative numbers. It also doesn't make sense to have them be 0 either. So we'll make them positive.

2/3 of x is equal to 3.50 as the first sentence mentions. This forms the equation (2/3)*x = 3.50

Multiply both sides by the reciprocal of 2/3 to isolate x

(2/3)*x = 3.50

(3/2)*(2/3)*x = (3/2)*3.50

x = 5.25

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----------------------------

Pizza Duo charges $4.20 for 3/4 of a small pizza, meaning the equation we need to solve is

(3/4)y = 4.20

We'll use the same idea as the last equation to get...

(3/4)y = 4.20

(4/3)*(3/4)y = (4/3)*4.20

y = 5.60

Pizza Duo charges $5.60 for a whole small pizza.

Pizza Uno is the better deal (assuming both pizzas taste the same or you don't have a preference for either). You would save $5.60 - $5.25 = $0.35 = 35 cents.

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Step-by-step explanation:

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