Answer:
<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>30</u></em></h2>
Step-by-step explanation:
<em><u>According</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>figure</u></em><em><u>, </u></em>
54° + 3x+36° = 180° <em>[</em><em>Linear</em><em> </em><em>pair</em><em>]</em>
=> 3x + 90 = 180
=> 3x = 180 - 90
=> 3x = 90

=> <em><u>x = 30 (Ans)</u></em>
Change them into improper fractions
and then find a common denominator, then minus, add, whatever for each one
The events A and B are not independent.
Given that,
P(A|B) = 0.4
P(A) = 0.5
P(B) = 0.8
Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)
We have, P(A|B) = P(A∩B)/P(B)
Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32
Now P(A) P(B) = 0.5 x 0.8 = 0.4
So P(A∩B) ≠ P(A)P(B)
Therefore, the events A and B are not independent.
Learn more about independent events at brainly.com/question/22881926
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The Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt)/(r/t)
where: P is the monthly payment, r is the annual rate = 7% = 0.07, t is the number of periods in one year = 12 and n is the number of years = 3.
18,000 - 6,098 = P(1 - (1 + 0.07/12)^-(3 x 12)) / (0.07/12)
11,902 = P(1 - (1 + 0.07/12)^-36) / (0.07/12)
P = 0.07(11,902) / 12(1 - (1 + 0.07/12)^-36) = 367.50
Therefore, monthly payment = $367.50