For numbers 7 to 10, refer to the given situation. A board member of the Fire Prevention Task Force gathered the following information showing the average temperature in a month and the number of fire incidence in a certain city last year. Temperature in degree 26 27 30 32 34 36 29 28 26.5 25 26.7 24 Celsius Number of Fire 4. 57 10 9 3. 8. 4 4. 3. incidences What is the dependent and independent variable based on the problem? a. Independent variable: Number of Fire incidences; Dependent variable: Temperature b. Independent variable: Temperature; Dependent variable: Number of Fire Incidences C. Independent variable: number of task force; Dependent variable: Number of Fire Incidences d. Independent variable: Number of Fire Incidences; dependent variable: Number of Task Force. What are the slope and the y-intercept of the given data? a. bị b. b, = 10.7009; bo Considering the computed slope and y-intercept, how would you model the equation of the regression line? a. Y = 10.7009X + 0.5735 c. b, = 0.5735; bo =-10.7009 d. b = -10.7009; bo = -0.5735 = -10.7009; bo = 0.5735 %3D = 0.5735 c. Y = 10.7009X- 0.5735 d. Y = -10.7009X-0.5735 5. Y = 0.5735-10.7009 How many fire incidences are there if the average temperature is 33.5 degrees Celsius?
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
Answer 10 & 19
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