Okie doke. 1cm on the map equals 500 meters. The distance from the gate to the ferris wheel on the map is 2.5cm. To find the actual distance, multiply the length on the map by the distance per centimeter. 500 * 2.5 is 1,250. The actual distance is 1,250 meters.
Note: When it comes to problems like these, you must always multiply the distance on the map by the scale unit (in other words, the actual distance on how far it is per the smaller unit).
Area of a circle is directly proportional to the square of radius of the circle while the circumference is proportional to the radius of the circle. This means that if the radius of a circle is increased x times, then its area will be increased to x^2 times the original area, and the circumference will increase to x times the original circumference.
Thus when the radius is doubled, or in other words if radius mad 2 time the original radius, the area of circle will become 2^2 = 4 time the original area. The circumference will become 2 times the original circumference.
We can calculate exact area and circumference of a circle from its radius using the following equations:
Area of circle = (pi/4)*r^2
Circumference of circle = 2*pi*r
Where r is the radius of the circle.
I know this is a lot, sorry.
Answer:
12:3
Step-by-step explanation:
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
Answer: 554
Step-by-step explanation:
If prior population proportion is known, then the formula to find the sample size is given by :-
As per given description, we have
p= 0.1
E=0.025
Critical z-value for 95% confidence : 
Then,
Hence, the minimum sample size required = 554.
