Answer:
Step-by-step explanation:
Given system is-
-2x+2y+3z=0 -------------(1)
-2x-y+z=-3 ----------------(2)
2x+3y+3z=5 --------------(3)
From (1)-(2) we get
3y+2z=3 ----------------(4)
Again from (2)+(3),
2y+4z=2 ----------------(5)
Now multiplying equation (4) by -2
-6y-4z=-6 --------------(6)
Adding (5) and (6)
-4y=-4
dividing by -4
y=-4 / -4
=1
So, y=1 ,
using y=1 in (5)
2(1)+4z=2
or, 2+4z=2
or, 4z=2-2
or, 4z=0
or, z=0
using y=1 and z=0 in (3)
2x+3(1)+3(0)=5
or, 2x+3+0=5
or, 2x=5-3
or, 2x=2
or, x=2/2
=1
So, the solution is-
(x,y,z)=(1 , 1 , 0)
When multiplying & dividing rational numbers:
If your signs are the same, your answer is positive.
If your signs are different, your answer is negative.
Answer:
And we can find the individual probabilities like this:
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
For this case we want this probability:
Since one fourth of the total number 12 is 12/4 =3
We can find this probability using the complement rule:
And we can find the individual probabilities like this:
And replacing we got:
Answer:
8x+8y
Step-by-step explanation:
red roses = 8 × x = 8x
white roses = 8 × y = 8y
total= 8x+8y
3x-12y = 5
-x+3y = 9
First step is to make the coefficient of either x or y same.
3x-12y = 5
(-x+3y = 9)3
3x-12y = 5
-3x+9y = 27
-4y = 32
y = -8