P (H / 5) = 1/2
The two events are independent because the outcome of the coin flip is not dependent upon any outcome of the die roll.......A is the correct answer
Area = pi* (diameter/2)^2 = pi*( 780/2)^2 = about 477836.2 units^2
sqrt [ 92650] = about 304 miles
tan (74) = h / 65
Where h is the height the ladder reaches up the wall.......multiply both sides by 65
65 * tan(74) = h = about 226.7 feet
Expected Value =
(Payoff) * ( probability of winning) - (Cost to play)* (probabilty of losing) =
($2)( 1/2) - ($1)(1/2) =
(1/2) $(2 - 1) = $0.50
P [ Two 7's ] = 4/52 * 3/51 = 1/13 * 1/17 = 1/221
These are dependent events.......D is correct.......
Answered here : https://web2.0calc.com/questions/what-is-this-c-equal
(3x+y)(3x-y) =
3x * 3x + 3xy - 3xy - y^2 =
9x^2 - y^2
4c+7=27 subtract 7 from both sides
4c = 20 divide both sides by 4
c = 5