Recent content by Juwane

I did see your post. That's why I said, "But consider this example". Anyway, when the probabilities are independent, we don't need the minus part of the formula. This is enough: P( A \cup B) = P(A) + P(B) Then what is the use of writing the formula in the alternate form?

But consider this example: A shopper goes to a fruit store. The probability that he will buy (1) bananas is 0.40, (2) oranges is 0.30, and (3) both bananas and oranges is 0.2. What is the probability that the shopper will buy bananas, oranges, or both? Using the usual formula: P( B...

In probability, the rule of addition is: P( A \cup B) = P(A) + P(B) - P(A \cap B) This can be written as P( A \cup B) = P(A) + P(B) - P(A)P(B) However, I've seen that using both formulas for the same problem gives different answers in some problems. Does anyone know why? Is there a...

I've used a search engine many times before I posted this question here. I couldn't find anything. I've a faint idea that the formula has to do with parallelogram law. However, I need a formula for adding two complex numbers in polar form, so the vectors have to be in polar form as well...

I CAN'T. I've tried, but I can't really. Also, I have to use it in an exam tomorrow, and I've got other stuff to study, and I don't have time to figure it out. Please.

Maybe, but I need the final, ready-made form of the formula.

I really, really need to know the formula that adds (or subtracts) two complex numbers in polar form, and NOT in rectangular form. I know there is such formula (I saw it in some book), and it's composed of cosines and sines. Please, please don't tell me to convert back to rectangular form...

Homework Statement See the circuit in the attached image. Homework Equations N/A Consider the circuit given in the attached image, then please answer the following questions: 1. When the current will come out of the current source, will all that current will go through the path...

Yes, you're right. w2 is 1, not 3. I'll try to use the method you've given here. Thanks.

Homework Statement What is the function (linear transformation) that maps z_{1} = 2 and z_{2} = -3i onto w_{1} = 1+i and w_{2} = 3? I think it's asking for the function that if you put 2 in it, it should give 1+i, and if you put -3i in the same function, it should give 3. The answer...

Homework Statement Find the voltage across R1 (see attached image). Note that all values are known. Homework Equations Voltager divider might be used. I hope KVL doesn't have to be used here. The Attempt at a Solution My problem is that I don't know if the current from I1 is...

I used a graphing software to create the graph, and then I zoomed in many times on the part of the graph where d was the smallest. I used http://www.walterzorn.com/grapher/grapher_app.htm".

d is smallest when x is approx equal to 1.35296 The answer is correct as given at the back of the book. Yes, I didn't want to use derivatives for this question; but if I were to use derivatives, I would have differentiated the function and equated it to zero, and then would've solved for...

Homework Statement Write an expression for the distance between the point P(1,2) and an arbitrary point ( x, \sqrt{x} ) on the curve y = \sqrt{x}. Graph this distance versus x, and use the graph to find the x-coordinate of the point on the curve that is closest to the point P. Homework...

I understand that a quadratic function intersects the x-axis at most twice, but what the denominator of \frac{-3x^2 + 10x + 11}{x^2+3}? Surely that denominator changes the degree of the equation and hence the number of solutions?