The average rate of change, is pretty much just the "slope" of the graph, therefore since we know that when n = 2, y = 9, notice the point (2,9), and when n = 4, y = 1, notice the point (4,1), thus
Answer:
<u>Part (a)</u>
see attached for sample space
<u>Part (b) </u>
Total number of possible outcomes = 12
<u>Part (c)</u>
Her activity does not depend on which bus she takes, as we have been told that once she is on the bus, she randomly selects the activity. Therefore, the activity selection is independent from the bus selection.
The sample space confirms this as it shows that the probability of the selecting each activity is equally likely for each of the 4 buses.
The original statement is true only if:
- England is a country and Africa isn't
- Africa is a country and England isn't
- Neither of them are countries
Options a and d are equivalent:
and they both are true in the same cases as above.
Option c is also fine, because it is false only if both England and Africa are both countries, just like the original statement.
Option b, instead, is true only if neither of the two options are countries, so it doesn't cover the cases where only one of the two is a country.
Answer:
<em>2(x) + 2(x + 3) = 90 </em>
Step-by-step explanation:
Width: x inch.
Length: (x + 3) inch.
P = 2 + 2
P = <em>2(x) + 2(x + 3) = 90</em>