Answer:
X = 2, -8
Step-by-step explanation:
The answer is 2/6 in the fourth decimal place
The tree is 7.5ft because it's shadow is half it's height.
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
Given:
The values are
.
To find:
The values of
and
.
Solution:
We have,

...(i)
Multiply both sides by 10.
...(ii)
Subtracting (i) from (ii), we get




And,



Now, the product of a and b is:


The quotient of a and b is:



Therefore, the required values are
and
.