Answer: c. Nominal
Step-by-step explanation:
Level of measurement determines the nature of description .
The four levels of measurements scales are
1. Nominal scale
- Categorize the data on the basis of the quality such as Gender, color, etc.
2. Ordinal scale
- Order attributes according to their ranks. For example : 1 < 2 < 3 .
3. Interval scale
- Describe the feature of the difference between any two categories. For example : Fahrenheit scale to measure temperature.
4. Ratio scale
- Consist of the features of nominal, ordinal, and interval measures but in includes a "true zero" point.
For example : Age.
∴ A<u> nominal</u> variable is a qualitative variable such that there is no meaningful ordering or ranking of the categories.
Hence, the correct answer is c. Nominal .
Exponential growth is
F=P(1+r)^t
F=future amount
P=present amount
r=rate
t=time in years
rate=2%=0.02
therefor the equation is
f(x)=23,000(1+0.02)^x
f(x)=23,000(1.02)^x
where x=time in years from 2012
Answer:
1. x = ±9
2.
3. 12 and -12.
4. Antoine is incorrect. There exists two solutions x=5 and x= -5.
Step-by-step explanation:
According to the questions,
Problem 1.
i.e.
i.e. x = ±9.
Problem 2.
i.e.
i.e.
i.e.
Problem 3. [tex]f(x)=x^{2}-144[tex]
To find the roots, we take, [tex]x^{2}-144=0[tex] i.e. [tex]x^{2}=144[tex] i.e. x = ±12.
Thus, the options are 12 and -12.
Problem 4. We have [tex]f(x)=x^{2}+25[tex]
For the roots, we take, [tex]x^{2}+25=0[tex] i.e. [tex]x^{2}=25[tex] i.e. x = ±5.
Thus, Antoine is not correct and two solutions namely x=5 and x= -5 exists.
Answer:
The linear equation with given slope and y-intercept is:
Option 1: 
Step-by-step explanation:
The slope-intercept form of equation is given by:

Here
m is the slope of the line and b is the y-intercept.
Given that
Slope of line is 1/2 so m = 1/2
And y-intercept is on origin so b = 0
Putting the values we get

Hence,
The linear equation with given slope and y-intercept is:
Option 1: 