Answer :
L = 73.75 feet
W = 26.25 feet
Explanation:
Let the length be given as L
Let the width be given as W
Therefore, the perimeter of the rectangular yard is given by, P = L+L+B+B
P = 2L + 2W --------------(1)
Given : Length, L = 3W-5
P = 200 feet
Therefore, using equation (1), we get
P = 2L + 2W
200 = 2(3W-5) + 2W
200 = 6W - 10 + 2W
200 + 10 = 6W + 2W
210 = 8W
W = 26.25 feet
If W = 26.25 then let's solve for L in P = 2L + 2W
P = 2L + 2W
200 = 2L + 2 (25.25)
200 = 2L + 52.5
2L = 147.5
L = 73.75 feet
Therefore, the length is 73.75 feet
the width is 26.25 feet
In the example provided, a model is built with the aim of explain certain behaviours of individuals who pertain for a classroom, let's assume we are speaking about a high school scenario and a class of teenagers. Data is gathered only from the male students.
When including age as an explanatory variable in a regression equation, it is very likely that it produces a causal effect on the dependent variable, but also on many of the other regressors, and hence it will be 'contaminating' the effects quantified for those.
A possible solution to avoid this inconvenience could be to gather again the same data 10 years later, and to build a new regression function. In the end, it is necessary to use an estimation method which compares the old and new regressions, to conclude in which extent has time (=age) affected each of the regressors, in order to isolate the effect of time on the regressors, from the pure effect that each regressor causes on the dependent variable. Like this, we are able to know the real effect of each regressor on the dependent variable, that is the ultimate goal of the model.
A possible estimator to use in this scenario is the so-called 'difference in differences' model.
Answer:An object in free fall falls under gravity alone with no friction
Explanation:
Gravity in physics is explained as that force which pulls us down towards the center of the earth; helps us not to float .
What does friction mean?
Friction is a force that acts in an opposite direction to that of the object's movement .
So if the object is not pushed in an opposite direction by any force it will fall freely , it will fall and roll down or it will fall and continue to move in its direction for example an orange falling from a tree ( pulled by gravity) without any force opposing it's movement it will fall continue sliding or rolling down unless there is something hindering it's movement.
Another example is, if you were running and reach a corner and decided to halt your shoes will act as a friction to help you stop immediately.
However if you run in the rain and the road is slippery or there are puddles on the road, when you want to slow down or stop the friction will be less.
The less friction means the harder it is to halt which also occurs when you drive during rain weather .
It is hard to stop the car in time due to less friction on the tires which is reduced by the slippery wet road .
An object will fall and slide down unless some opposing force is there to oppose that movement , that is what free fall means.
