<span>The main key difference between the graph of a linear relationship and the graph of a nonlinear relationship are linear relationship is the relation between variables which creates a straight line when spotted on a cartesian plane and linear relations have constant slope always.The key difference between the graph of an exponential relationship and the graph of a quadratic relationship is exponential relation is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function but quadratic relationship of the graph is the the standardized form of a quadratic equation is ax^2 + bx + c = 0,.</span>
<span>Lets calculate an example:
Say, .001% of tires that come from the factory are bad. There is a 1/1000 chance that for any given tire randomly selected from the warehouse that a defect will be present. Each tire is a mutually exclusive independently occurring event in this case. The probability that a single tire will be good or bad, does not depend on how many tires are shipped in proportion to this known .001% (or 1/1000) defect rate.
To get the probability in a case like this, that all tires are good in a shipment of 100, with a factory defect rate of .001%, first divide 999/1000. We know that .999% of tires are good. Since 1/1000 is bad, 999/1000 are good. Now, multiply .999 x .999 x .999..etc until you account for every tire in the group of 100 shipped. (.999 to the hundredth power)
This gives us 0.90479214711 which rounds to about .90. or a 90% probability.
So for this example, in a shipment of 100 tires, with a .001% factory defect rate, the probability is about 90 percent that all tires will be good.
Remember, the tires are mutually exclusive and independent of each other when using something like a factory defect rate to calculate the probability that a shipment will be good.</span>
Answer:
30 inkjet printers
30 laser printers
Step-by-step explanation:
Let x be inkjet printer
Let y be the laser printer
Total printer produced per day = 60
This implies that x+y = 60
The company has 120 labor hours per day. If it has 1 labor hour to make a inkjet printer and 3 labor hours to make a laser printer, we will have
x + 3y = 120
So we have
x + y = 60 ........(1)
x + 3y = 120 ........(2)
Subtract equation 1 from 2
We have
2y = 60
y = 60/2
y = 30
Put y= 30 into equation 1
x + y = 60
x + 30 = 60
x = 60 -30
x = 30
Therefore we have 30 inkjet printers and 30 laser printer.
Answer:
-7
Step-by-step explanation:
-21.00/3.00
