Answer:
have you given the solution with questions or not
Answer:
4.4 inches
Step-by-step explanation:
Here, we are interested in calculating the value of x.
Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.
This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.
3.7 is half the length of the chord i.e 7.4/2
Thus;
using Pythagoras’ theorem
x^2 = 2.4^2 + 3.7^2
Pythagoras’ posited that the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.
Thus;
x^2 =5.76 + 13.69
x^2 = 19.45
x = √(19.45)
x = 4.41 inches which is 4.4 inches to the nearest tenth
Answer:
b. 144.8
Step-by-step explanation:
When calculating the moving average estimate of an observation , each of the observations are usually computed with the same weighted . In some cases, it is beneficial to assign different weight on the observations such that the observation closer to the time period being forecast, has higher weight. This is refer to as weighted moving average technique. The sum of the individual weight in a weighted moving average technique must equal to 1.
The three-period weighted moving average forecast for period 5 = 144*0.5 + 148 *0.3 + 142 *0.2 = 144.8
