The sum of the measures of two exterior angles of a triangle is 255°. What is the measure of the third exterior angle?
1 answer:
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For 5 games, the cost will be equal for each option.
Step-by-step explanation:
Given,
Lane rental of offer A = $20
Per game charges = $3
Let,
x be the number of games.
A(x) = 3x + 20
Lane rental is $35 for maximum 10 games.
B(x) = 35
For the cost to be same;
A(x) = B(x)
Dividing both sides by 3
For 5 games, the cost will be equal for each option.
Keywords: function, division
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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