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Aleksandr-060686 [28]
3 years ago
6

Out of every 1000 packages received by a merchant, three are damaged. In a day, the merchant received 600 damaged packages. How

many undamaged packages did the merchant receive? ( with explanation )
Mathematics
1 answer:
lukranit [14]3 years ago
8 0

Answer:

1.8 undamaged packages

Step-by-step explanation:

3/1000 x 600

Multiply

1.8

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Number of Assemblers(x)  One-Hour Production(y) (units)

2                                                           11

4                                                           18

1                                                            7

5                                                           29

3                                                           20

a. Draw a scatter diagram.

Solution : Refer the attached figure  

b. Based on the scatter diagram, does there appear to be any relationship between the number of assemblers and production? Explain.

Solution: The equation that shows the relationship between the number of assemblers and production is y=5.1x+1.7

Where y is One-Hour Production (units)  and x is the Number of Assemblers

c.Compute the correlation coefficient.

Solution:

Formula of correlation coefficient:r=\frac{n(\sum xy)-(\sum x)(\sum y)}{[n \sum x^2 -(\sum x)^2][n \sum y^2 -(\sum y)^2]}

            x        y         xy       x^2   y^2

           2        11        22              4                   121

           4        18       72               16                 324

           1          7         7                 1                    49

           5         29      145             25                  841

           3         20      60               9                    400            

Sum:   15     85       306           55                  1735

n=5

Substitute the values in the formula :

r=\frac{5(306)-(15)(85)}{[5 (55) -(15)^2][5 (1735) -(85)^2]}

r=0.00351

The correlation coefficient is 0.00351

8 0
3 years ago
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