The month of December has 31 days. In New Jersey in December there are days when it rains, days when it snows, and days when it does both. This breakdown is shown in the Venn diagram. Based on the diagram, are the events of having snow and having rain on the same day dependent or independent? Be sure to justify your answer by showing the calculations that lead to your decision.

Solve 2^x=32 and rewrite this equation in a logarithmic form

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.

What is the perimeter of a rectangle if the length is 5 and the width is x?