You buy a lottery ticket to a lottery that costs $10 per ticket. there are only 100 tickets available to be sold in this lottery. in this lottery there are one $500 prize, two $100 prizes, and four $30 prizes. find your expected gain or loss. (round your answer to two decimal places.)

To diagonalize an nxn matrix a means to find an invertible matrix p and a diagonal matrix d such that a pdp d p ap or [1 3 dh epap 3 let a=-3 -5 -3 3 3 1 step 1: find the eigenvalues of matrix a "2's" step 2: find the corresponding eigenvectors of a step 3: createp from eigenvectors in step 2 step 4 create d with matching eigenvalues.

Afamily eats at a restaurant. the bill is $42. the family leaves a tip and spends $49.77. a. how much was the tip in dollars? b. how much was the tip as a percentage of the bill?

Image by e2020 in the diagram, the lines dividing the parking spaces are parallel. what must be true about 4 and 22? what theorem supports your conclusion?