Answer:
.26
P(C) = .6*.3 + .4 *.2
= .18+.08
= .26
Step-by-step explanation:
Answer:
y = -1/3x + 2
Step-by-step explanation:
The gradient of the given line is 3 because (y = mx +c where m is the gradient)
Therefore, to find the gradient of the perpendicular line (at 90 degrees), you need to find the negative reciprocal.
The negative reciprocal of 3 is -1/3 because imagine if 3 = 3/1, to get the reciprocal, you flip it, and to get the negative, you just flip the sign.
Now we know that Line M is y = -1/3x + c, we need to find the y-intercept.
To do this, just input the point (3,1) into y = -1/3x + c, to get c. This is because we know (3,1) is on the line from the question.
So it would be 1 = (-1/3 x 3) +c
Which would be 1 = -1 +c
And so c = 2
Put everything together and you get y = -1/3x + 2
Answer:
she would need 7 ounces
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Productivity: My candy bar company made 100 million bars last year, sold for $1 each. I also paid [L] people last year, with an average salary of $100K last year. I have overhead cost of $10M. What was my TOTAL productivity (no units, rounded to 2 decimal places)?
Solution:
Total productivity is the average of labour and capital productivity weighted and adjusted to price fluctuations. It is the ratio of total output to the total input. The total productivity is given by the formula:
Total productivity = total output / total input
Total output = Revenue = number of bars sold * price per bar
Total output = 100 million * $1 = $100 million
Total input = Total salary + overhead cost
Total salary = number of people * average salary = 100 *$100000 = $10 million
overhead cost = $10 million
Total input = $10 million + $10 million = $20 million
Total productivity = total output / total input = $100 million / $20 million
Total productivity = 5
6.75 per hour
121.50/18 = 6.75