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...
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.
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.
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.
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.
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)...
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...
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...