What effect does changing the function f(x)=1/2sin(x)+2 to the function g(x)=2sin(x)+8 have on the graph of f(x)?

choices:
a. the graph is vertically stretched by a factor of 6 and shifted up 4 units.

b. the graph is horizontally stretched by a factor of 4 and shifted up 6 units.

c. the graph is horizontally stretched by a factor of 6 and shifted up 4 units.

d. the graph is vertically stretched by a factor of 4 and shifted up 6 units.

Select the number of ways in which a line and a circle can intersect

What are the excluded values? m+5/mn+3m

The amount of calories consumed by customers at the chinese buffet is normally distributed with mean 2743 and standard deviation 652. one randomly selected customer is observed to see how many calories x that customer consumes. round all answers to 4 decimal places where possible. a. what is the distribution of x? x ~ n(correct,correct) b. find the probability that the customer consumes less than 2355 calories. incorrect c. what proportion of the customers consume over 3026 calories? incorrect d. the piggy award will given out to the 1% of customers who consume the most calories. what is the fewest number of calories a person must consume to receive the piggy award? incorrect calories. (round to the nearest calorie)