<h3>
Answer: 83.85%</h3>
This value is approximate.
==========================================================
Explanation:
Let's compute the z score for x = 40
z = (x-mu)/sigma
z = (40-47)/7
z = -1
We're exactly one standard deviation below the mean.
Repeat these steps for x = 68
z = (x-mu)/sigma
z = (68-47)/7
z = 3
This score is exactly three standard deviations above the mean.
Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.
34+34+13.5+2.35 = 83.85
<u>Roughly 83.85%</u> of the one-mile roadways have between 40 and 68 potholes.
Answer:
c= 18.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos theta = a/c
cos 57 = 10/c
Multiply each side by c
c cos 57 =10
Divide each side by cos 57
c = 10/cos 57
c=18.36078459
Rounding to the nearest tenth
c= 18.4
Step-by-step explanation:
slope interception formula is
y-y1=m(x-x1)
where m is m=y-y1/x-x1 in this case m=-2 because the line we are trying to find is parallel to the given one y=-2x-6 where slope k=-2
so the final equation would be
y-1=-2(x-(-4))
y-1=-2x-2*4
y=-2x-8+1=-2x-7
Answer:
See Explanation
Step-by-step explanation:
According to the Question,
Steps of construction:
- Step I - Draw a line segment AB = 7 cm with the help ruler.
- Step II - with vertex A, by using compass take more than half of AB and draw arcs, one on each side of AB.
- Step III - with vertex B, by using a compass with the same length, cut the previous arcs at X and Y respectively.
- Step IV - with help of the ruler join the points X and Y Thus XY is the perpendicular bisector of line AB.
(For Diagram please find in attachment)
