Solution :
Variables are of two types --- Numerical variable and Categorical variable.
The numerical variable includes measurement and numbers that can be counted. It is also known as quantitative variable. It is of two types --- Discrete and continuous variables.
The categorical variable includes the description of the groups or the things like the type of clothes, color of eyes, etc. that cannot be counted. It is also called qualitative variable. It is of two types -- Nominal variable and Ordinal Variable.
In the context,
a). The percentage or fraction of birds that are infected by a flu is numerical continuous variable.
b). The number of the crimes committed by an individual can be a whole number only and is countable. So it is a Numerical discrete variable.
c). Gender of a person is categorized as male or female. Therefore it is a categorical nominal variable.
d). The logarithm of the body mass is not countable and the body mass can be in decimal form also. So it is a Numerical continuous variable.
e). The different stages of a fruit ripeness can be categorized as fully ripe or unripe i.e. it ranges from unripe fruits to overripe fruits. So it is Categorical ordinal variables.
f). Tree species can be named for the different types of species of the trees. So it is Categorical nominal variable.
g). The petal area of a rose flower cannot be count as the numbers of he petals are not fixed, so it is a Numerical continuous variable.
It is generally useful to use the formula. The procedure is to substitute the given values for the variables in the formula, then do the arithmetic.
... A = (1/2)r²·θ . . . . r is the radius, θ is the central angle in radians
Put the numbers in ...
... A = (1/2)(4 in)²·(π/3)
... A = 8π/3 in² ≈ 8.37758 in²
Let's call job one x.
Job two can be y.
Jason earned $3,700 more from job y than x. Therefore y = x + 3700
From the two jobs, Jason earned $15,900. This can be written as x + y = 15900.
Now substitute y for x + 3700:
x + x + 3700 = 15900
2x + 3700 = 15900
Subtract 3700 from both sides:
2x = 12200
Divide both sides by 2:
x = 6100
Take the original equation x + y = 15900 and substitute x with 6100:
6100 + y = 15900
y = 9800
Job one (x) paid Jason $6,100.
Job two (y) paid Jason $9,800.
Answer:
Step-by-step explanation:
<u>Use intersecting chords theorem:</u>
- 5(5x + 2) = 10(6)
- 5x + 2 = 12
- 5x = 10
- x = 2
The equation of this line is given by:
y = -1/2x + 1.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points, the slope is given by <u>change in y divided by change in x</u>. In this problem, we have points (0,1) and (2,0), hence:
m = (1 - 0)/(0 - 2) = -1/2.
Point (0,1) also means that the y-intercept is of b = 1, hence the equation of this line is given by:
y = -1/2x + 1.
More can be learned about linear functions at brainly.com/question/24808124
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