Answer:
0.003
Step-by-step explanation:
By formula we know that:
z (x) = (x - m) / [sd / sqrt (n)]
where x is the value we want to know (60,000), m is the mean (63500), sd is the standard deviation (6100) and n is the sample size (35).
Replacing we have:
z (60000) = (60000 - 63500) / [6100 / sqrt (35)]
z = -3.39
If we look in the normal distribution table (attached), we have that the probability is 0.0003.
Answer:
Step-by-step explanation:
we know that
The given equation y=5 is a horizontal line (is parallel to the x-axis)
The slope of the given line is equal to zero
A perpendicular line to the given line is a vertical line (parallel to the y-axis)
so
The equation of a vertical line is equal to the x-coordinate of the point that passes through it
The point that passes through it is (-4,-6)
therefore
The equation of the perpendicular line is
Answer:
The third picture
Step-by-step explanation:
Solve for x in both equations
2x<6
Divide both sides by 2:
x<3
3x+2>-4
Subtract 2 from both sides:
3x>-6
Divide both sides by 3:
x>-2
There is this trick you can use when x is on the left side of the equation to find out which way to shade in you graph. Keep in mind this is only for the left side, it will not work if your variable is on the right.
When the symbol is facing left < then shade left, imagine it is pointing which way to shade. x<3 is represented by the 3 picture on the left. When the symbol is facing right > then shade right, again it is pointing which way to shade. x>-2 is represented by the 3 picture on the right.
The circles are not filled in because the symbol is < and > rather than . When it is greater than or equal to or less than and equal to (represented by the line under the symbol), then the circle is shaded in.