Sergio has ppp paintings in his art collection. He and other local painting collectors agreed to donate a total of 484848 paintings to the local museum. Each of the 121212 collectors will donate the same number of paintings. How many paintings will Sergio have in his art collection after his donation?
Write your answer as an expression.

Consider the image of klmn for the translation (x, y) → (x – 2, y – 1). what is the ordered pair of l′?

The probability that a u.s. resident has traveled to canada is 0.18 and to mexico is 0.09. a. if traveling to canada and traveling to mexico are independent events, what is the probability that a randomly-selected person has traveled to both? (page 109 in the book may ) b. it turns out that only 4% of u.s. residents have traveled to both countries. comparing this with your answer to part a, are the events independent? explain why or why not. (page 119 may ) c. using the %’s given, make a venn diagram to display this information. (don’t use your answer to part a.) d. using the conditional probability formula (page 114 in the book) and the %’s given, find the probability that a randomly-selected person has traveled to canada, if we know they have traveled to mexico.

Grace is a 70-year old woman who paid the utility bill online for the first time. she called her bank's customer service center to make sure she had done the transaction successfully. but the voice recording repeatedly played a message that all representatives were busy, which irked grace. which factor would make grace not recommend the bank to others? a. absence of technology b. lack of accessibility c. lack of financial products d. poor reputation