Here is the graph of x-y=4. According to this, the x intercept is (4,0), and the y intercept is (0,-4) :)
Solve by matrix 2c+4p+2b=34, c+3p+b=22 , 3c+2b=17
1 answer:
9514 1404 393
Answer:
(c, p, b) = (3, 5, 4)
Step-by-step explanation:
A matrix solver is useful for this purpose. Most graphing calculators will do this, as will a number of web sites. Attached is the output from math software that also solves the matrix equation easily.
The solution is (c, p, b) = (3, 5, 4).
_____
The augmented matrix for the given set of equations is ...
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Answer:
The new salary of that person (for the period of a year) would be .
Step-by-step explanation:
Start by considering: what is the exact value (in dollars) of that " raise in salary"?
(five percent) is equal to
.
To find the value of of
, simply multiply
by
:
.
Add that to the original (one-year) salary of this person to find the new one-year salary:
.
Let us first make the sample space for the event A. The Sample Space will be:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5)
(5,1) (5,2) (5,3) (5,4)
(6,1) (6,2) (6,3)
As can be clearly seen the Sample Space for the event A has 30 elements in it.
Now, it is given in the question that the event A has already occurred and we need to find the probability of the event B occurring <u><em>given that the event A has already occurred.</em></u>
Now, as we can see, from the sample space, only 11 events out of the 30 are the events of interest to us. This is shown in bold below:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5)
(5,1) (5,2) (5,3) (5,4)
(6,1) (6,2) (6,3)
Thus, the probability that the event B occurs given that the event A has already occurred is:
In percentage the required probability is 36.7% approximately.