A continuous random variable X that can assume values between xequals=11 and xequals=88 has a density function given by f(x)equals=StartFraction 2 (1 plus x )Over 77 EndFraction 2(1+x) 77. Find (a) P(Xless than<77); (b) P(55less than or equals≤Xless than<77).

Which equation represents a circle with a center at (–3, –5) and a radius of 6 units? (x – 3)2 + (y – 5)2 = 6 (x – 3)2 + (y – 5)2 = 36 (x + 3)2 + (y + 5)2 = 6 (x + 3)2 + (y + 5)2 = 36

The sum of 5consecutive even numbers is 100. what is the first number in this sequence?

Tony is charged $ 50 and additional $0.15 per miles for renting a car. a) represent the cost of renting a car with an equation, and the determine the cost if he drove it70 miles. b) what would be the cost of a car rental if the car was driven 250 miles? show work