Ifx is a geometric random variable with parameter p, what is the expectation value of 〈(1+x) 〉? 6 marks] d) a satellite system consists of n components and operates correctly on any given day if at least k of these components functions on that day. on a rainy day each of the components functions with a probability p,, whereas on a sunny day each functions with a probability . if the probability of rain is α , what is the probability that the satellite system operates correctly? 5 marks]

Hypothesis. why don’t you know this? i learned this stuff in like 5th grade

Ireally don’t know

    m₁v₁ + m₂v₂ = (m₁ + m₂)vmomentum is conserved.the left-hand side of the equation represents the momentum in the system before the collision.the right-hand side represents the momentum in the system after the collisionm₁ and v₁ represents the mass and the velocity of the physics blockm₂ and v₂ represents the mass and velocity of the ball of puttyv represents the final velocity of the combined mass.the question states the two masses stick together. they combined mass has its own velocity with the body mass the sum of the two objects' massestheir combined momentum is (m₁ + m₂)vto find the magitude of (m₁ + m₂)v, we need to add the vectors on the left-hand side of the equation: m₁v₁ + m₂v₂.note the diagram. i have positioned the vectors in accordance with their directions.the magnitude of the resultant can be calculated using the pythagorean theorem since this is a right triangle situation (north and west are perpendicular)|(m₁ + m₂)v| =  √[ (m₁v₁)² + (m₂v₂)² ]|(m₁ + m₂)v| =  √[ (1.5kg·8.0m/s)² + (0.40kg·20m/s)² ]|(m₁ + m₂)v| =  14.4 kg m/sfor two significant figures (assuming that 20m/s is two), this rounds to 14 kg m/s

To a fellow spongebob-ian i will be glad to , the cheetah didn't get far on purpose because he's a cheetah  ( ͡° ͜ʖ ͡°)