Answer:
Step-by-step explanation:
Yes.
Since the universal set of rational numbers range from negative infinity of rational numbers to positive infinity of national numbers, then -3 is part of the of rational numbers set.
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:
10
Step-by-step explanation:
Let
the number = n
The quotient of a number and two = n / 2
twelve more than the quotient of a number and two,
(n/2 + 12)
twelve more than the quotient of a number and two, decreased by four
(n/2 + 12) - 4
when n = 4?
(n/2 + 12) - 4
= (4/2 + 12) - 4
= (2 + 12) - 4
= 14 - 4
= 10
Answer:
D) 45 ft
Step-by-step explanation:
The two triangles are shown below.
Given:
BC = 60 ft, CD = 24 ft and DE = 18 ft.
Since, the two triangles are similar, their corresponding sides are in proportion.
So, 
Now, consider the proportion of sides,
Therefore, the distance between A and B is 45 ft.
Answer:
Nikolai Lobachevsky and Bernhard Riemann
Step-by-step explanation:
Nikolai Lobachevsky (A russian mathematician born in 1792) and Bernhard Riemann (A german mathematician born in 1826) are the mathematicians that helped to discover alternatives to euclidean geometry in the nineteenth century.
