How do I solve this
1 answer:
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Answer:
Yes, the relation is a function.
Step-by-step explanation:
Using the vertical line test is quite simple, really. You draw imaginary lines vertically down the graph and if at any point the imaginary lines intersect the given graph more than once, it's not a function. That simple, honestly. So, I used an online graphing calculator to graph the points (-6,-2), (-2,6), (0,3), (3,5), and then drew my imaginary lines. they did not intersect more than once so this indicates the relation is a function.
I really hope this helps you:) let me know if you have any more questions about this.
P.S. The lines on the image are nowhere near to straight so I'm sorry about that. freehanding with a mouse is a bit difficult.
Answer:
Are the events A and B disjoint? Yes
Step-by-step explanation:
Disjoint events are those events that cannot occur at the same time, i.e. for events <em>X</em> and <em>Y</em> to be disjoint, .
The event <em>A</em> is defined as the number of students whose age is at most 32.
And event <em>B</em> is defined as the number of students whose age is at least 37.
The events <em>A</em> and <em>B</em> are disjoint events.
- The sample space for event <em>A</em> consists of all the students of age group (under 21), (21 - 24), (25 - 28) and (29 - 32).
- Whereas the sample space for event <em>B</em> consists of all the students of age group (33 - 36), (37 - 40) and (Over 40).
The sample space for the intersection of these two events is:
Sample space of (<em>A</em> ∩ <em>B</em>) = 0
As there are no common terms in both the sample.
Hence proved, events <em>A </em> and <em>B</em> are disjoint.