The number of different ways that three speakers can be selected is 10 ways
Given the names of choice to be Ben, Will, Stewart, Hilary, and Kate. This means that we have a total of 5 name choices.
If the members of students activities are to select three speakers among these people, the number of ways this can be done is by using the combination rule as shown;
From the question, n = 5 and r = 3. On substituting
Hence the number of different ways that three speakers can be selected is 10 ways.
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Answer:
Graph 1
Domain = -8 =< x =< 10
Range = -9 =< f(x) =< 9
Graph 2
Domain = -1 =< x =< 5
Range = -1 =< f(x) =< 2
Explaination:
Domain means the inputed x values on the x-axis, so to make things simpler and to not write every individual x values. We write it with <, >, and =<. (you can see it as the 'width' of a graph).
Range means the output y values on the y-axis. It's like the 'height' of a graph. And also, to make things simpler and to not write every individual y values. We write it with <, >, and =< with f(x) too because f(x) = y.
Answer:
Step-by-step explanation:
Given
The sum of the two positive integer a and b is at least 30, this means the sum of the two positive integer is 30 or greater than 30, so we write the inequalities as below.
The difference of the two integers is at least 10, if b is the greater integer then we subtract integer a from integer b, so we write the inequality as below.
Therefore, the following system of inequalities could represent the values of two positive integers a and b.
Answer:
x=47°
Step-by-step explanation:
..,........................
Answer:
x=43 (being vertically opposite angles
Step-by-step explanation:
