In Exercises 21–24, tell whether a correlation is likely in the situation. If so, tell whether there is a causal relationship. Explain your reasoning. 21. the amount of time spent talking on a cell phone and the remaining battery life

22. the height of a toddler and the size of the toddler’s vocabulary

23. the number of hats you own and the size of your head 24. the weight of a dog and the length of its tail

Identify the graph of y = ln x + 1.

Which describes the difference between the graph of f(x)=x^2 and g(x)=-(x^2-2)

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?