The graph bellow is the solution for which set of inequalities ?
1 answer:
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Answer:
P (She selects the route of four specific capitals) =
D. No,it is not practical to list all of the different possible routes because the number of possible permutations is very large.
Step-by-step explanation:
Let's start assuming that each route is equally likely to be chosen.
Assuming this, we can calculate P(A) where the event A is ''She selects the route of four specific capitals'' doing the following :
P(A) = Favourable cases in which the route of four specific capitals is selected / Total number of ways in 4 of 42 states
The favourable cases in which the route of four specific capitals is selected is equal to 1 .
For the denominator we need the permutation number of 4 in 42.
The permutation number is defined as :
The probability of event A is :
Finally for the other question : The option D is the correct because the number of possible permutations is 2686320 and is very large to be listed.
You need to isolate/get x by itself in the inequality:
x - 10 < 6 - 5x Add 5x on both sides
x + 5x - 10 < 6 - 5x + 5x
6x - 10 < 6 Add 10 on both sides
6x - 10 + 10 < 6 + 10
6x < 16 Divide 6 on both sides to get x by itself
Simplify the fraction
So the 1st option