Answer:
x = ±
Step-by-step explanation:
Given
2x² - 9 = 11 ( add 9 to both sides )
2x² = 20 ( divide both sides by 2 )
x² = 10 ( take the square root of both sides )
x = ± ← exact solutions
Is algebra.
2 answers:
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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
Answer:
8, 12, 16, 20, 24, 28, 32, 36
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
a₁ is the first term and d the common difference
given a₁ = 4 and a₁₀= 40 , then
4 + 9d = 40 ( subtract 4 from both sides )
9d = 36 ( divide both sides by 9 )
d = 4
add d to each term to obtain the next term
4 + 4 = 8
8 + 4 = 12
12 + 4 = 16
16 + 4 = 20
20 + 4 = 24
24 + 4 = 28
28 + 4 = 32
32 + 4 = 36
the 8 terms between 4 and 40 are
8, 12, 16, 20, 24, 28, 32, 36