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The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles
<h3>What is a Pythagoras theorem?</h3>The square of the longest side is equal to the square of the sum of the othersides.
Before we can calculate the total distance, we will need to get the hypotenuse on both sides using the Pythagoras theorem as shown:
H^2= 12^2 + 9^2
H² = 144 + 81
H² = 225
H = 15
For the other hypotenuse
h² = 12² + 5²
h² = 144 + 25
h² = 169
h = 13 mils
The total distance = 5 + 15 + 9 + 13
The total distance = 42 miles
The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles
Learn more on Pythagoras theorem here: brainly.com/question/12306722
a) The probability that both John and Jane watch the show is 0.12.
b.The probability that Jane watches the show, given that John does is 0.1714.
c)They do watch show independent of each other.
Step-by-step explanation:
Here, as given in the question:
Probability that John watches a certain show = 0.7 ⇒ P(J) = 0.7
Probability that Jane watches a certain show = 0.3 ⇒ P(Je) = 0.3
Probability that John watches a certain show given Jane watches it to
= 0.4 ⇒ P(J/Je) = 0.4
a. ) Here, we need to find the probability of both Jane and John watching a show , P(J∩Je)
Now, by BAYES THEOREM:
Hence the probability that both John and Jane watch the show is 0.12.
b.) The probability that Jane watches the show, given that John does is P(J/Je)
By BAYES Theorem:
Hence, the probability that Jane watches the show, given that John does is 0.1714.
c) As we can see P(Jane ∩ John) = 0.12
So, the probability of both of them seeing the show TOGETHER is 0.12.
Hence, they do watch show independent of each other and the probability of doing that is 1.0.12 = 0.88