well, the area of a parallelogram is simply A = bh.
we know that "b" and "h" are whole numbers or namely integers, and we know the area is 6, doing a quick prime factoring of 6 we simply get
6 = 2 * 3
2 and 3 are both prime, in how many ways can we arrange them? just 2 and 3 or 3 and 2, so those are the only possible values for "b" and "h".
Answer:
C. x = ±4
Explanation:
<u>Given two equation's</u>:
- y = 3x² + 15
- y = 5x² - 17
Solve them simultaneously:
y = y
3x² + 15 = 5x² - 17
5x² - 3x² = 15 + 17
2x² = 32
x² = 16
x = ±√16
x = ±4
Answer:
x and y = 0
the question looks weird and almost wrong because when you subtract the equations, you are left with nothing
Step-by-step explanation:
Multiply the top equation by 3 to make the -x a -3x instead.
Then do the top equation - the bottom equation
At this point you should be left with x
Answer:
0.2384 = 23.84% probability that 3 were laser printers.
Step-by-step explanation:
The printers will be chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:

In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:
20 orders means that 
8 were laser printers, which means that 
Sample of 5 means that 
What is the probability that 3 were laser printers?
This is P(X = 3).


0.2384 = 23.84% probability that 3 were laser printers.