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20b(4b3)3
Calculate. m n − n 5 m + n n
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Prove an inequality involving a root of a quadratic equationIf x=ρis a solution to: x2+bx+c=0Prove that |ρ|−1<|b|+|c|
Logarithm problems with different bases1. log a b × log b a =?2. log a b + log b a = 29 What is log a b − log b a =?3.What is b in the following: log b 3 + log b 11 + log b 61 = 1and4. 1 l o g 2 x + 1 l o g 25 x − 3 log 8 x = 1 log b x What is b?Can anyone help me solve these?
(b) Suppose that, on average, the number of car accidents in Hong Kong are 6 per day (which has 24 hours).i. Determine the probability that at least x accidents will occur in 12 hour period. (4 marks) ii. In a two days, if there were 8 car accidents in Hong Kong, what is the probability that 2 accidents have occurred in the first 12 hours of the two days?
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Show that: ( a × b ) × ( c × d ) = ( a ⋅ b × d ) c − ( a ⋅ b × c ) d
Find the solution of the following Differential Equations. xdy−ydxx2=0
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How do you write 15% as a fraction?
Discrete math library homeworkI am working on a homework question and I am not sure if I am going about the correct way of getting to the correct answer. I feel as this is a trick question. Here is the question:In order to keep track of circulation numbers, the library asks you to note on a form, when you leave the library, which combinations of 15 subject areas and of 8 types of material (books, current journals, databases, bound journals, videotapes, microfilm, microfiche, DVDs) you used. How many possible ways are there to fill in a line on the form?I was thinking of multiplying 15 ⋅ 8 = 120. But for some reason that did not seem correct. I was also thinking of doing 15 8 . But that number seemed too large.
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