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Tutors Answer Your Questions about Complex Numbers (FREE)
Question 22163: 4. When a pair of dice is rolled, the total will range from 2 (1,1) to 12 (6,6). It is a fact that some numbers will occur more frequently than others as the dice are rolled over and over.
Why will some numbers come up more frequently than others?
Each die has six sides numbered from 1 to 6. How many possible ways can a number be rolled? In other words, we can roll (2,3) or (3,2) or (6,1) and so on. What are the total (x,y) outcomes that can occur?
How might you then estimate the percentage of the time a particular number will come up if the dice are rolled over and over?
Once these percentages have been calculated, how might the mean value of the all the numbers thrown be determined?
Click here to see answer by venugopalramana(3286)   |
Question 22161: 3. Sometimes, we can take a weighted approach to calculating the mean. Take our example of high temperatures in July. Suppose it was 98°F on 7 days, 96°F on 14 days, 88°F on 1 day, 100°F on 6 days and 102°F on 3 days. Rather than adding up 31 numbers, we can find the mean by doing the following:
Mean = ( 1 x 88 + 14 x 96 + 7 x 98 + 6 x 100 + 3 x 102) / 31
…where 1, 14, 7, 6, and 3 are the weights or frequency of a particular temperature’s occurrence. Then we divide by the total of number of occurrences.
Suppose we are tracking the number of home runs hit by the Boston Red Sox during the month of August:
Number of Games HRs Hit each Day
2 3
5 2
6 1
7 0
Using the weighted approach, calculate the average number of home runs per game hit by the Sox.
Click here to see answer by venugopalramana(3286) |
Question 22255: (2-3i)[(5-2i)-(1+2i)]
what I did was (2-3i)(4-4i) got second part from factoring the brackets
{5-2i-1-2i}
My answer is 8-12i-8i+12(-1) or -4-20i but it just doesn't look right.
Thanks for any tips you can offer.
Kelly
Click here to see answer by stanbon(26259)  |
Question 22303: I need help on the following question with details of how you got the answer. Thank you very much for your help.
What is the angle of elevation of the sun when a 35-ft mast casts a 20-ft shadow?
Click here to see answer by Paul(988) |
Question 22843: (2 points) Great white sharks have triangular teeth with a height that is 1 centimeter longer than the base. If the area of one tooth is 15 square centimeters, find its base and height.
Click here to see answer by Paul(988) |
Question 22159: In the real world, where might these so-called Imaginary numbers be used?
When using a formula, we often know the value of one variable to a greater degree of accuracy than we know that others. What affect, if any, does it makes on our use of a formula if we know that value of one variable to a greater degree of accracy than another?
Click here to see answer by venugopalramana(3286) |
Question 23454: We have, z=1+e^ix with x in R (supposed)
Z=(z^2)/(z-1)
And I should find an expression of Z with (cos (x)), I've managed to get till :
Z = (1+e^ix)^2/(e^ix)
Z = [1/e^ix] + [e^ix] + [(e^i2x)/(e^ix)]
Z = e^-ix + 2e^ix
And then I turned from the e^ form to cos x + i sin x form, which gives
Z = cos (-x) + i sin (-x) + 2 cos (x) + 2 i sin (x)
But I can't eliminate the "i"s in this equation .. and I'm supposed to find at the end something like
Z = 2 ( cos (x) + 1 ) (this solution is given in the next question)
Please help me, thanks in advance.
Click here to see answer by stanbon(26259) |
Question 23696: please show me how to solve a problem similiar to the following so I can solve this one.
1 x 10
___ + 7 = ___ I know the answer is ___
x-3 x-3 3
I'm sure this looks simple, but I'm loosing a step somewhere leaving me with an answer unable to show how I got there!
Click here to see answer by longjonsilver(2297)  |
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