Answer:
The linear model will give a good approximation if the new value is within or close to the values we used to construct the linear model.
Step-by-step explanation:
A linear model gives reasonable approximations under these two conditions:
- If the value for which we need to use the approximation is within the range of values we used to construct the linear model
- If the value for which we need to use the approximation is close to the values which we used to construct the linear model.
For the given model, heights of children aged 5 to 9 were recorded. Here, age is the independent variable and height will be the independent variable. Heights of 30 children from age 5 to 9 were recorded and a linear model was constructed. Now, we need to tell which value of age can be made an input of this function to find the approximate height.
Using the above two principles, the linear model will give a good approximate if:
- The age of the child is between 5 and 9 years. In this situation, the value approximated by the model will be closer to the actual height in majority of the cases. For example, the model will give good approximations for children of ages 6, 6.5, 7, 7.75 etc
- The age of child is close to 5 and 9 years old but outside the range. In this case, the model will also give good approximations. For example. for a child of age 4.5 years or 10 years, the model will still give a good and reasonable approximations.
Answer:
Step-by-step explanation:
Let us find the acceleration of box .
v² = u² + 2as
Putting the values
7² = 3² + 2 a x 14
a = 1.43 m /s²
If coefficient of friction be μ
force of friction = μ mg
= μ x 10 x 9.8
= 98μ
Net force pushing the box
= 85 - 98μ
Applying newton's second law
85 - 98μ = 10 x 1.43
98μ = 85 - 14.3
μ = .72
Answer:
Last month, Ed ate 9 apples, 5 bananas, 4 peaches, and 7 oranges. Find the ratio bananas to the total number of fruit. Then explain the meaning.
Step-by-step explanation:
first since there is 5 bananas it will be 5:_ and then the total so add up all the fruits
9+5+4+7=25 so
5:25
or
1:5
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Answer:
y= -3x+1
Step-by-step explanation:
Let's start with the y-intercept (initial value). The y-intercept is where the line intersects the y-axis, so the x value should be 0. Here, the y-intercept is (0,1).
The slope is equivalent to the rise over run. We rise three and go to the left 1 which gives us a slope of negative 3 since we went to the left instead of the right.
Equation for a line:
y=mx+b where m is the slope and b is the y-intercept.
We plug in the slope and y-intercept in and get...
y= -3x+1
