Inconsistent system of equation consists of equations whose graphs do not intersect (they are parallel lines) and there is no solution.
Dependent system of equations consists of equations that are same (their graph is the same) but written in different form.
Let us analyze the equations:
5x+<span>10y+15z=60 (1)
</span>2x+4y+6z=60 (2)
<span>x+2y+3z=60 (3)
We can divide the first one by 5 </span><span>to obtain the same left side as in equation (3), and to see if they are dependent:
x+2y+3z=12
</span>which is not the same as <span>x+2y+3z=60.
</span>They are not dependent (they are independent).<span>
We can divide the second one by 2 to obtain the same left side as in equation (3), and to see if they are dependent:
</span><span>x+2y+3z=30 (2) divided by 2
which is not the same as </span><span>x+2y+3z=60. They are not dependent (they are independent).
The graphs of the three functions are parallel so, they are inconsistent.
Solution: inconsistent and independent
</span>
Answer:
L x W x H =Area
Step-by-step explanation:
We can solve this problem by referring to the standard
probability distribution tables for z.
We are required to find for the number of samples given the
proportion (P = 5% = 0.05) and confidence level of 95%. This would give a value
of z equivalent to:
z = 1.96
Since the problem states that it should be within the true
proportion then p = 0.5
Now we can find for the sample size using the formula:
n = (z^2) p q /E^2
where,
<span> p = 0.5</span>
q = 1 – p = 0.5
E = estimate of 5% = 0.05
Substituting:
n = (1.96^2) 0.5 * 0.5 / 0.05^2
n = 384.16
<span>Around 385students are required.</span>
Answer:
called unit rate .
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
To be considered skew lines, both must not intersect or be parallel.
