Answer:
<em>if Petra uses a scale of 1 in = 50 miles, the distance of 400 miles would fit in the page.</em>
Step-by-step explanation:
<u>Scaling</u>
Objects can be represented in a reduced or augmented size by using scaling.
Scaling is essentially multiplying or dividing by a constant factor. We use scaling when representing geographic locations on a map.
Petra has a piece of paper that is 8.5 inches wide and 11 inches long and she wants to represent a distance of 400 miles by using the scale factor of 1 inch= 20 miles.
a)
Dividing the real distance by the scale factor we get 400/20 = 20 inches. Petra would need 20 inches of paper to represent the scaled distance. That distance won't fit in any direction of the paper, so she actually cannot make the scale drawing.
b)
To make the drawing, the distance of 20 inches should fit into the page in any orientation, let's assume it's done across the paper's width of 8.5 inches.
Dividing 400 / 8,5 = 47
This gives us an idea of the appropriate scale factor. We can use a round number like 50. Thus, if Petra uses a scale of 1 in = 50 miles, the distance of 400 miles would fit in the page.
Answer:
Substitute y with y+10 and x with x-4.
Step-by-step explanation:
To shift every point in the plane 10 down you have to substitute y with y+10 and to shift every point in the plane 4 units right you have to substitute x with x-4.
Suppose the origin of function on the plane is (0,0) now we have to make the origin (4,-10).
first (x,y)=(0,0)
When we substitute x and y
(x-4,y+10)=(0,0)
x-4=0
x=4
y+10 = 0
y= -10
Now the origin is (4,-10).
Hence the function is shifted 10 units down and 4 units right.
Solve each of the equations independently, then determine if the are continuous or discontinuous.
15≥-3x [start here]
-5≤x [divide both sides by (-3). *Dividing by a negative number means the direction of the sign changes!]
x≥-5 [just turned around for analysis]
Next equation:
2/3x≥-2 [start here]
x≥-2(3/2) [multiply both sides of the equation by the reciprocal, 3/2)
x≥-3
So, (according to the first equation) all values of x must be greater than, or equal to -5.
(According to the second equation) all values of x must be greater than, or equal to -3.
So, when graphed on a number line, both equations graph in the same direction, so they are continuous.
Answer:
Check the explanation
Step-by-step explanation:
a)
the formula is given by,
c.v.=
where is standard deviation and is mean of the given data.
b)for asse A,
c.v.= = 0.03 5 , 100 0,30 x 0.30 = 10%
for asse B,
c.v.= = 1.50 x 100 26005 × 100 =8.27 %
for asset C,
c.v.= = 18.70 × 100 =10.71%
c)since, c.v. of asset B is least, it is least volatile and c.v. of asset is most, it is most volatile.
Answer:
4√ 2 ≈5.66 to 2 dec. places
Step-by-step explanation:
