Answer: Inconsistent
<u>Step-by-step explanation:</u>
y = 3x + 4 → m = 3, b = 4
y = 3x + 3 → m = 3, b = 3
These equations have the same slope but different y-intercepts so they are parallel lines <em>which means they will never intersect.</em>
NOTES
- one solution: consistent & independent <em>lines cross</em>
- infinite solutions: consistent & dependent <em>same line</em>
- no solution: inconsistent <em>parallel lines</em>
-3x+4y=-18
2x-y=7
the answer qould be C.(2,-3)
-3(2)+4(-3)=-18
-6+(-12)=-18
-18=-18
2(2)-(-3)=7
4+3=7
7=7
C.
here's the solution,
we know :

So,

so.. let the perpendicular be 12x and hypotenuse be 13x
now,
by applying pythagoras theorem,
where,
- b = base
- h = hypotenuse
- p = perpendicular
So,
so,
hope it helps !!
Answer:

And using the probability mass function we got:





And adding the values we got:

The best answer would be:
D. 0.377
Step-by-step explanation:
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 in order to pass he needs to answer at leat 6 questions and we can rewrite this:

And using the probability mass function we got:





And adding the values we got:

The best answer would be:
D. 0.377
21√$42.84 ≈ 21√42.84=137.449773
Hope this helps~!