Relations are subsets of products <span><span>A×B</span><span>A×B</span></span> where <span>AA</span> is the domain and <span>BB</span> the codomain of the relation.
A function <span>ff</span> is a relation with a special property: for each <span><span>a∈A</span><span>a∈A</span></span> there is a unique <span><span>b∈B</span><span>b∈B</span></span> s.t. <span><span>⟨a,b⟩∈f</span><span>⟨a,b⟩∈f</span></span>.
This unique <span>bb</span> is denoted as <span><span>f(a)</span><span>f(a)</span></span> and the 'range' of function <span>ff</span> is the set <span><span>{f(a)∣a∈A}⊆B</span><span>{f(a)∣a∈A}⊆B</span></span>.
You could also use the notation <span><span>{b∈B∣∃a∈A<span>[<span>⟨a,b⟩∈f</span>]</span>}</span><span>{b∈B∣∃a∈A<span>[<span>⟨a,b⟩∈f</span>]</span>}</span></span>
Applying that on a relation <span>RR</span> it becomes <span><span>{b∈B∣∃a∈A<span>[<span>⟨a,b⟩∈R</span>]</span>}</span><span>{b∈B∣∃a∈A<span>[<span>⟨a,b⟩∈R</span>]</span>}</span></span>
That set can be labeled as the range of relation <span>RR</span>.
Answer: please find the attached file for the graph.
Step-by-step explanation:
Number of minutes 1 2 3 4 5 6 7 8 9 10Number of trainees 2 3 5 10 15 30 25 15 10 5
Given that data set above, the time in minutes will be on the x axis while the number of trainees will be in the y axis.
In bar chart, the bars will not touch each other.
Please find the attached file for the solution and figure
Answer:
False
Step-by-step explanation:
Answer:
68
Step-by-step explanation:
97.65 is roughly 100
68℅ of 100 is 68
so it's 68
Answer:
Kindly check explanation
Step-by-step explanation:
Given the formula :
Pn = 25.8(1.0219)^h to predict the population of Ghana ;
The equation given is in the form of an exponential function:
The general form of an exponential distribution :
y = ab^x
a = Initial value ; b = constant multiplier or growth or Decay factor
Comparing :
The number in parenthesis = 1.0219 = b
b = Decay or growth factor :
Since b > 1 ; then We have a growth factor;
b = 1 + rate
1.0219 = 1 + rate
Rate = 1.0219 - 1
Rate = 0.0219
Hence, the population is growing at a rate of about (0.0219)*100% = 2.19%
