Recent content by coreyB

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    Solve Ancient Indian Number Theory Problem | Minimum Number of Eggs in a Basket

    Homework Statement i'm sure everyone has seen this: Solve the following ancient Indian problem: If eggs are removed from a basket 2, 3, 4, 5, and 6 at a time, there remain, respectively, 1, 2, 3, 4, and 5 eggs. But if the eggs are removed 7 at a time, no eggs remain. What is the least...
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    Straight line equation easy question

    your question is somewhat confusing...if you are asking how to get a slope = 2, you need a different line. the slope of a straight line is constant. y = -2x +2 is a straight line and you calculated the slope correctly, -2. To find a line with slope = 2, use slope equation...y=mx+b.
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    With a t distribution, can I find the p value?

    yes, you can find the p-value of a t distribution. the p-value is the probability of getting something as extreme or more extreme than your test statistic. So, ff you know your test statistic, you can find the p-value.
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    Mean Score of Female Students in Class of 30: 78

    i got it. i set it up as: .78 = (19/30)*.68 + (11/30)*x then solved for x. is this how you would have done it?
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    Mean Score of Female Students in Class of 30: 78

    Suppose that the mean score of a class of 30 students was 78. The 19 male students in the class had a mean score of 68. What was the mean score for the 11 female students? advice? thanks.
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    Vector magnitude and direction

    The angle of the resultant vector should be between the angles of your initial vectors. Your answer of 12.37 degrees seems reasonable...however, 75 degrees and 90.7 degrees do not.
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    Can Set Equality Be Proved Using Intersection and Complement Conditions?

    Excellent. I decided to investigate Eynstone's suggestion of proof by contradiction as well. Assume AnC=BnC, AnC'=BnC', and A not= B. Then there exists x such that x in A and x not in B. case 1: x in C. therefore x in AnC. therefore x in BnC, so x in B and x in C. (contradiction, we are done)...
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    Can Set Equality Be Proved Using Intersection and Complement Conditions?

    case 1: let x in A and x in C. therefore, x in AnC by definition, and x in BnC by our hypothesis(AnC = BnC). Therefore x in B by definition. A=B. case 2: let x in A and x not in C. therefore, x in AnC' by definition, and x in BnC' by our hypothesis(AnC' = BnC'). Therefore x in B by definition...
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    Can Set Equality Be Proved Using Intersection and Complement Conditions?

    Homework Statement Let A,B,C be sets where A n C = B n C and A n Cc = B n Cc. Then A=B. Homework Equations The Attempt at a Solution To prove two sets equal, i think we want to let x be in A, and then show as a result that x in B also. However, i don't see how this is possible...