Suppose f(x) = x2 and g(x) = (4x)2. Which statement best compares the graph of g(x) with the graph of f(x)?
O A. The graph of g(x) is horizontally compressed by a factor of 4.
B. The graph of g(x) is shifted 4 units to the right
O C. The graph of g(x) is vertically stretched by a factor of 4.
O D. The graph of g(x) is horizontally stretched by a factor of 4.

Which addition property is being illustrated below? (type commutative or associative) (6 + 7) + 1 = 6 + (7 + 1)

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes

Determine the required value of the missing probability to make the distribution a discrete probability distribution. x p(x) 3 0.23 4 ? 5 0.51 6 0.08 p(4) = nothing  (type an integer or a decimal.)