There are 259 english books and 182 math books on mrs. smith's bookshelf. mr. johnson bookshelf has 62 more english books then mrs. smith bookshelf. there are 1000 books all together on the two bookshelves, how many math books are there on mr. johnson bookshelf.

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=7^-x about the x-axis. (use symbolic notation and fractions where needed.) volume =

Use the given information to determine the exact trigonometric value.