Suppose that in our league, half of MLB batters have a "true talent" on-base percentage ("OBP" or the probability that a batter gets on base in a plate appearance) of .310 and the other half have a true-talent on-base percentage of .350. In scanning the season-to-date batting statistics, you see that Billy Bases has gotten on base 35 times in 100 plate appearances. Without any additional information about Billy’s performance so far this season, what is the probability that his "true-talent" OBP matches his current OBP of .350?

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

Create a graph for the demand for starfish using the following data table: quantity/price of starfish quantity (x axis) of starfish in dozens price (y axis) of starfish per dozen 0 8 2 6 3 5 5 2 7 1 9 0 is the relationship between the price of starfish and the quantity demanded inverse or direct? why? how many dozens of starfish are demanded at a price of five? calculate the slope of the line between the prices of 6 (quantity of 2) and 1 (quantity of 7) per dozen. describe the line when there is a direct relationship between price and quantity.

Given that y varies directly to the square root of (x + 1), and that y = 1 when x = 8,(a)express y in terms of .x,(b)find the value of y when x = 3,(c)find the value of x when y = 5.