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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Simplify square root of 2 over cube root of 2.

Fed [463]

Answer:

2 to the power of one sixth

Step-by-step explanation:

Assuming you don't already know this, any type of root can be expressed as an exponent. Generally speaking:

$\sqrt[n]{x} = {x}^{ \frac{1}{n} }$

So you can rewrite the given fraction as

$\frac{ {2}^{ \frac{1}{2} } }{ {2}^{ \frac{1}{3} } }$

and then reduce as you normally would. That is, if the bases of the numerator and denominator are the same, then you can subtract the denominator's exponent from the numerator's exponent like so:

$\frac{ {2}^{ \frac{1}{2} } }{ {2}^{ \frac{1}{3} } } = {2}^{ \frac{1}{2} - \frac{1}{3} }$