A marketing manager for a new product wants to know if a particular celebrity would be most effective for increasing the sales of the product. A random sample of 100 adults was surveyed to determine which celebrity they would find most influential in marketing the product. The results are:

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

The area of a circle is equal to 1 dm². find the radius of the circle.

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $36.98. find the probability that a randomly selected bill will have an amount greater than $173, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?