Define the following sample spaces. define notations as necessary. i. number of black hole mergers detected since ligo openedii. time (in days) until ligo observes the first black hole merger(b)[3 pts]what type of variables are the following?

i. the cause of the gravitational waves observed, which can be either a black hole or aneutron star merger
ii. number of gravitational wave detections observed
iii. time (in days) until ligo first detects a gravity wave signal.

For the year, uptowne furniture had sales of $818,790, costs of $748,330, and interest paid of $24,450. the depreciation expense was $56,100 and the tax rate was 34 percent. at the beginning of the year, the firm had retained earnings of $172,270 and common stock of $260,000. at the end of the year, retained earnings was $158,713 and common stock was $280,000. any tax losses can be used. what is the amount of the dividends paid for the year? a. $6,466 b. $7,566 c. $5,266 d. $6,898 e. $7,066