The radius of the sphere where the planes x + y + 3z = 15 and 3x + y + z = 1 are tangent to each other and its center is on the line y_2 / 2 = x_2 / 2 = z_4/3​

What is the inverse of the function f(x)=2x+1

Solve for x i'll try to attach the files bc it's not letting me for some reason

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.