Answer: 15 / 56
Step-by-step explanation:
Number of red checkers = 3
Number of black checkers = 5
Total number of checkers = 8
P(black, then red) = 5/8 × 3/7 = 15/56
We should note that the probability to pick a black checker first will be 5 out of 8. Then, there'll be 7 checkers left and the probability to pick a res checker will be 3/7. We then multiply the probabality of each together.
For the 51-deg angle, y is the opposite leg, and 12 is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin A = opp/hyp
sin 51 deg = y/12
y = 12 * sin 51 deg
y = 9.3
$3,500 budget minus $50 clean up fee equals $3,450.
3500 - 50 = 3450
$3,450 divided by $31 per person equals 111.29
3450 / 31 = 111.29
111 people multiplied by $31 equals $3,441 plus $50 clean up fee equals $3,491
111 x 31 = 3441
3441 + 50 = 3491
They can invite 111 people and will have $9 to spare
