Answer: Firstly in this question, we need to solve for
α
which is the part of the distribution of which we not looking for.
we can do this with the sum:
α
=
1
−
0.76
=
0.24
as
0.76
=
76
%
we also know that our Standard Normal Distribution is symmetric, so we must divide that
α
to be split on either side of our distribution. so we solve for:
α
2
=
0.24
2
=
0.12
then we find a correlating
z
-score for the value
0.12
and we get that
−
z
=
−
1.175
and
z
=
1.175
This becomes easier to understand when visualized, so observe how we do this sum.
Step-by-step explanation:
Answer:
infinitely many solutions (infinite solutions)
Step-by-step explanation:
2y - 8 = 6x
+8 +8
-------------------------------
2y = 6x + 8
= 
+ 
-------------------------------
y = 3x + 4
Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.
Answer:
67 Inches
Step-by-step explanation:
There are 3 feet in a yard and 12*3 is 36 inches in a yard therefor 67 inches is larger
Answer:
Parallel Lines
Step-by-step explanation:
This drawing below represent parallel lines. We know these are parallel because they are marked with "feathers": those triangle looking things. They have to have the same amount of feathers to be parallel.
Hope this helped!
if this trapezoid is to scale, then the scale factor between the shortest and longest side is 1.5
so, that means that 1.5(2x+6) = 4x+2
so, your equation becomes 3x+9 = 4x+2
if you subtract 2 from each side, you get 3x+7 = 4x
meaning that x = 7
i hope this helps, and i'm sorry if it's wrong!! :)
