The region is in the first quadrant, and the axis are continuous lines, then x>=0 and y>=0
The region from x=0 to x=1 is below a dashed line that goes through the points:
P1=(0,2)=(x1,y1)→x1=0, y1=2
P2=(1,3)=(x2,y2)→x2=1, y2=3
We can find the equation of this line using the point-slope equation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(3-2)/(1-0)
m=1/1
m=1
y-2=1(x-0)
y-2=1(x)
y-2=x
y-2+2=x+2
y=x+2
The region is below this line, and the line is dashed, then the region from x=0 to x=1 is:
y<x+2 (Options A or B)
The region from x=2 to x=4 is below the line that goes through the points:
P2=(1,3)=(x2,y2)→x2=1, y2=3
P3=(4,0)=(x3,y3)→x3=4, y3=0
We can find the equation of this line using the point-slope equation:
y-y3=m(x-x3)
m=(y3-y2)/(x3-x2)
m=(0-3)/(4-1)
m=(-3)/3
m=-1
y-0=-1(x-4)
y=-x+4
The region is below this line, and the line is continuos, then the region from x=1 to x=4 is:
y<=-x+2 (Option B)
Answer: The system of inequalities would produce the region indicated on the graph is Option B
About 32.34% of the values do not lie between the z-scores of -1.3 and 0.75.
First, we need to find the region between the z-scores.
If you look at a normal distribution table, you will get the following values:
0.75 = 77.34%
-1.3 = 9.68%
Subtraction those gives us the area between the z-scores.
77.34 - 9.68 = 67.66%
Now, just subtract that value from 100% to get the amount outside of the area.
100 - 67.66 = 32.34%
Answer:
x=3
Step-by-step explanation:
or,x-2=1
or,x=2+1
or,x=3
Well, elevation in how high the hill is from sea level, so the higher the mile, the farther away it is from sea level. The one farthest from sea level is Britton and the one closest is Ray.
