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3 years ago

9:45 on Tuesday Questions

Mathematics

1 answer:

netineya [11]3 years ago

4 0

Answer:

The Alternate Interior Angles Theorem

Step-by-step explanation:

<u>Given</u>

∠3 ≅ ∠5

Angle 3 and angle 5 are alternate interior angles, and they are congruent.

<em>The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.</em>

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Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of al

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Answer:

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that $P(A) = 0.9$

82% of all buyers request built-in GPS

This means that $P(B) = 0.82$

77% of all buyers request both automatic transmission and built-in GPS.

This means that $P(A \cap B) = 0.77$

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is $P(A \cup B)$ , which is given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95$

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

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