Answer: See below
Step-by-step explanation:
a) There is a correlation between the number of employees in the plant and the number of products produced yearly. Specifically, a positive correlation exists because, as we can see on the table, as the number of employees increases, the number of products also increases. And the rate of increase is constant.
b) Let the function be: y = mx + b
When x = 0; y = 120
So:
120 = 0 + c
c = 120
Now the slope:

Therefore, the equation that best fits the data is y = 8x + 120
c) The slope in the function represents the constant rate of change, meaning that as the number of employees increases by 1, the number of products produced monthly increases by 20. While the y-intercept of the plot, which is 120, indicates the constant number of products, that is to say, when there are no employees, there are still 120 products.
Answer:
3 divided by 10
Step-by-step explanation:
Answer:
y=1/5(x+37)
Step-by-step explanation:
y=1/5x+4/5
Plug in the (3,8)
8=1/5(3)+b
8=3/5+b
7 2/5=b
y=1/5(x+37)
Answer:
The distance formula is a formalization of the Pythagorean Theorem using (x,y) . They are the same thing (but the distance formula is for working out the distance between two points and Pythagoras theorem is for working out the missing length in a right-angled triangle) in two different contexts.
Step-by-step explanation:
The 2 small black lines through the sides of the triangle indicate that the 2 sides are the same length.
Because the 2 sides are the same the 2 bottom angles are also the same.
This means that 9x +3 = 84
Now we can solve for x:
9x +3 = 84
Subtract 3 from each side:
9x = 91
Divide both sides by 9:
x = 81 / 9
x = 9