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padilas [110]
3 years ago
9

1. At a certain company, the human resources department surveyed employee satisfaction. They collected the following data.

Mathematics
2 answers:
sveta [45]3 years ago
5 0

Answer:

Question (a)

The relationship between satisfaction score and salary is a positive one. The graph shows a positive correlation. It means, the higher the salary, the higher the satisfaction score

Question (b)

We will substitute the value of  into the equation 

Question (c)

The constant 0.0005 is the increase of satisfactory score by 0.0005 for every pound increase in the salary

Setler79 [48]3 years ago
3 0
Question (a)
The relationship between satisfaction score and salary is a positive one. The graph shows a positive correlation. It means, the higher the salary, the higher the satisfaction score

Question (b)
We will substitute the value of x=65000 into the equation y=0.0005x+60 = 0.0005(65000)+60=92.5

Question (c)
The constant 0.0005 is the increase of satisfactory score by 0.0005 for every pound increase in the salary
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If FH = 9x + 15 and GH = 5x + 4,<br> then FG = ?
Tatiana [17]

Answer:

FG = 39

Step-by-step explanation:

From the question given:

FH = 9x + 15

GH = 5x + 4

FG = ?

From the question given above, we can say that G is the midpoint of FH. This implies that:

FH = FG + GH

With the above idea in mind, we can obtain FG as follow:

FH = 9x + 15

GH = 5x + 4

FG = ?

FH = FG + GH

9x + 15 = FG + 5x + 4

Rearrange

FG = 9x + 15 - 5x - 4

FG = 9x - 5x + 15 - 4

FG = 4x + 11

Next, we shall determine the value of x. This can be obtained as follow:

Since G is the midpoint of FH, it therefore means that FG and GH are equal i.e

FG = GH

With the above idea in mind, we can obtain the value of x as follow:

FG = 4x + 11

GH = 5x + 4

FG = GH

4x + 11 = 5x + 4

Collect like terms

11 - 4 = 5x - 4

7 = x

x = 7

Thus, we can obtain the value of FG as follow:

FG = 4x + 11

x = 7

FG = 4x + 11

FG = 4(7) + 11

FG = 28 + 11

FG = 39

***Check ***

FH = 9x + 15

x = 7

FH = 9(7) + 15 = 63 + 15 = 78

GH = 5x + 4

x = 7

GH = 5(7) + 4 = 35 + 4 = 39

FG = 4x + 11

x = 7

FG = 4(7) + 11 = 28 + 11 = 39

FH = FG + GH

FH = 78

FG = 39

GH = 39

FH = FG + GH

78 = 39 + 39

78 = 78

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