X/6 + 4 = 15
First, subtract 4 to both sides:
x/6 = 11
Now multiply 6 to both sides:
x = 66
Title:
<h2>The worker's highest wage is $400.</h2>
Step-by-step explanation:
Due to the joining of the 11th worker, the firm's output increases 10 units.
The price of each unit is $40.
The price of 10 units are
.
The worker's wage will be highest if he will be paid all the amount which is the resultant of the output's increase, that is (90 - 80) = 10 units.
Answer:
For g (2) = 3x -2 find the value of x
The value of x is 2
for which g(x) = 10?
10 = 3x -2
10 +2 = 3x
12 = 3x
x = 12/3
x = 4
Answer:

And we can find this probability using the normal standard table or excel and we got:

The figure shows the calculation for this case.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the hardness of a population, and for this case we know the distribution for X is given by:
Where
and 
We are interested on this probability

And the best way to solve this problem is using the normal standard distribution and the z score given by:

If we apply this formula to our probability we got this:

And we can find this probability using the normal standard table or excel and we got:

The figure shows the calculation for this case.
1: (-1,-1) is (x, y) to see if it is a solution, you would just plug in x and y and see if the equation is true.
-4 (-1) + 2(-1) = 2
4 + -2 = 2
2 = 2 CORRECT
So... plug in x and y in the second equation to Make sure it works for that one too.
-1 + -1 = -2
-2 = -2 CORRECT
So, yes. (-1,-1) is a solution to both equations.