Suppose that Upper P left-parenthesis Upper A vertical line Upper B right-parenthesis equals 0.77, Upper P left-parenthesis Upper A vertical line Upper B prime right-parenthesis equals 0.87, and Upper P left-parenthesis Upper B right-parenthesis equals 0.23. Determine Upper P left-parenthesis Upper B vertical line Upper A right-parenthesis.

Twelve friends shared 8 small pizza equally. how many pizzas did each person get?

Select all expressions that are equivalent to 2(3x + 7y). question 1 options: 6x + 14y 6x + 7y 1(6x + 14y)

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.