Arestaurant offers hamburgers with one, two, or three patties. let x represent the number of patties a randomly chosen customer orders on their hamburger. based on previous data, here's the probability distribution of x along with summary statistics:

x=# of patties 1 2 3
p(x) 0.40 0.50 0.10
mean: μx=1.7
standard deviation: σx≈0.67
the total price of each burger is set at $2 per patty. let t represent the total price a randomly chosen customer pays for their burger. find the mean of t

What value of x will make the triangles similar by the sss similarity theorem?

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Need match the functions with correct transformation. f(x) = -3x f(x) = |x-1|+3 f(x) = √(x+3) 1/2x² f(x) = (x+1)²-3 4|x| 1. compress by a factor of 1/2 2. stretch by a factor of 4 3. shift to the left 3 4. shift to the left 1 5. shift up 3 6. reflection