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kondaur [170]
3 years ago
9

You are thinking about the things that can go wrong on your trip home over the Thanksgiving break. You have booked a flight with

US-Scareways. You know that in 30% of the cases the company has canceled the flight you were on. Should such a thing occur, there would be no other air travel option home for you. As a backup, your friend Walter has offered you a ride back. However, you know that Walter only has a seat in his car for you with an 80% probability. What is the probability of you making it home for the holidays?
Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0

Answer:

0.91 = 91% probability of you making it home for the holidays

Step-by-step explanation:

You can make home with two possibilities:

With US-Scareways, with a 100 - 30 = 70% probability.

In the 30% that you cannot make it with US-Scareways, there is a 70% probability you can get a ride back with Walter.

What is the probability of you making it home for the holidays?

p = 0.7 + 0.3*0.7 = 0.7 + 0.21 = 0.91

0.91 = 91% probability of you making it home for the holidays

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Inequalities are used to show the relationship between unequal expressions

  • <em>The set notation of (5) and (6) are: </em>\{x : -6 > x \ge -2\}<em> and </em>\{x:-4 < x \ge 6\}<em>.</em>
  • <em>See attachmen</em>t for the graphs

The following should be notated when plotting the graph of an inequality

  • < and > are represented with open circles, while \leq and \geq are represented with closed circles
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So, we have:

(a)\ -8 < x

Rewrite as:

x > -8

The graph of x > -8 will point to the right, and it will use an open circle

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Split the inequality:

-6 > x and x \ge -2

<em>It is not possible for -6 to be less than x and at the same time, x is greater than or equal to -2.</em>

<em />

Hence. -6 > x \ge -2 cannot be represented on a graph

(c)\ -4

Split the inequality:

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-4 < x means that -4 is less than x or x is greater than -4.

So, we have:

x > -4 and x \ge 6

If x > -4 and x \ge 6, then we make use of x > -4 because it contains more values of x.

The graph of x > -4 will point to the right, and it will use an open circle

Read more about inequalities at:

brainly.com/question/11612965

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