There are many ways to solve simultaneous linear equations. One of my favorite for finding integer solutions is graphing. The attached graph shows the solution to be ...
... (x, y) = (4, 7)
_____
You can also use Cramer's Rule, or the Vedic math variation of it, which tells you the solution to
is given by
Here, that means
... x = (9·67-5·75)/(9·8-5·3) = 228/57 = 4
... y = (75·8-67·3)/57 = 399/57 = 7
_____
A (graphing) calculator greatly facilitates either of these approaches.
Answer:
Step-by-step explanation:
Given
--- rate of hard disk drives failure
--- number of hard disk drives
<em>See comment for complete question</em>
Required
First, calculate the probability that the none of the 4 selected is working;
Using the complement rule, the probability that at least 1 is working is:
This gives:
Answer:
M(5,2)
Step-by-step explanation:
We use the midpoint rule:
We just have to find the arithmetic mean of the x and y-coordinates.
The endpoints of CD are given as C(3,−5) and D(7, 9).
We substitute these values to get:
Therefore the coordinates of the midpoint M of CD are (5,2)