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An engineer has 200 resistors that he keeps in one box. Resistors are colored to help their identification, and in this box there are 30 white resistors, 50 black resistors, 80 red resistors and 40 green resistors.
(a) If he chooses one resistor from this box without looking what is the
probability that the resistor is either black or white ?
If he chooses two resistors from this box without looking:
(b) what is the probability that both the resistors are green ?
(c) what is the probability that one resistor is red and the other resistor is white ?
(d) what is the probability that at most one of the resistors is green ?
Write the subsequent 2nd order differential equation as a system of first order, linear differential equations. 2 y′′ - 5 y′ + y = 0 y (3) = 6 y′ (3) = -1 We can wri
There actually isn't a whole lot to do throughout this case. We'll find two solutions which will form a basic set of solutions and therefore our general solution will be as,
Aspire LLP is a recruitment agency. Recently, the company senior manager, Kay conducted a survey to understand the number of hours students spend daily on their studies after schoo
Consider the function f(x) = x + 1/x 2 + 2x - 3. (a) Find f(2) and f(-2). (b) Find the domain of f(x). (c) Does the range include 1? Show your working. (d) Find and si
a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n - 1 for all integers n ≥ 0.
The mathematics results of 20 first-year university students are given, together with their results of their performances in the year 12 semester Test and Final Assignment:
Evaluate following. √16 and Solution To evaluate these first we will convert them to exponent form and then evaluate that since we already know how to
Find the 35th term of the sequence in which a1 = -10 and the common difference is 4.
you are in charge of making punch for an upcoming dance. the punch recipe makes 5 cups of punch by making 3 cups of cranberry juice with 2 cups of apple juice. What is the ratio of
Suppose the economy is now ‘open’ and thus has an external demand (e.g. from the government, exports, etc.) of the dollar amounts for each respective industry. In the latest budget
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