Answer:

Step-by-step explanation:
If you divide
by 4 (both numerator and denominator)
You get
which is equivalent to the given ration
Answer:
Area = 
Step-by-step explanation:
The area of a rectangle is given by:
Area = Height * Width
The expressions for height and width are given. We just need to multiply and add like terms (if applicable) to find the expression for the area of the rectangle.
Remember to use distributive property:

Thus, we have:

THis is the expression for area.
Answer:
Step-by-step explanation:
A 3rd degree polynomial can have a maximum of 3 real roots, but it must have at least 1 real root I believe.
Answer: UV = 52
Concept:
Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
<u>Given information</u>
TU = 4x
UV = 2x + 14
TV = 7x - 5
<u>Given expression deducted from the additive property of length</u>
TV = TU + UV
<u>Substitute values into the expression</u>
7x - 5 = 4x + 2x + 14
<u>Combine like terms</u>
7x - 5 = 6x + 14
<u />
<u>Subtract 6x on both sides</u>
7x - 5 - 6x = 6x + 14 - 6x
x - 5 = 14
<u>Add 5 on both sides</u>
x - 5 + 5 = 14 + 5
x = 19
<u>Find UV by substituting the value of x</u>
UV = 2x + 14 = 2 (19) + 14 = 
Hope this helps!! :)
Please let me know if you have any questions
Answer:
c. Car color (e.g. red, blue, grey)
Step-by-step explanation:
There are four level of measurements: Ordinal, Nominal, Interval and Ratio.
- Ordinal variables are categorical variables and have a ordered categories. For example,the health of patients: Excellent, Good, Average and Poor.
- Nominal variables are also categorical variables but they do not have a ordered category or any numerical value. For example, Gender: Male or Female, or Occupation:, Accountant, Clerk, Manager.
- Interval variable are variables that take numerical values. These variables are ordered and the difference between two values is meaningful. For example, temperature in degrees F.
- Ratio variable are type of interval variables but they do not have a variables with a 0 measurement. For example, height, age, money.
Considering all the option:
(a) Age (in years) is an interval variable.
(b) Age grouped as < 18, 18 - 29, 30-59, 60 > are basically ordered categorical variables. Thus, they are ordinal variables.
(c) Car Color (red, blue, grey) are nominal variable because they are not ordered and cannot be measured.
(d) Letter grade in a course (A+, A, A-, B+, B) are also ordinal variables because they are ordered and represent the performance quality of the student.
Thus, the correct answer is (c).