"All mobile phones have microphones. Some mobile phones have cameras. All devices with cameras have a battery." Convert these statements into a Venn diagram and use it to answer the following question. If the statements above are true then which of the following statements are incorrect?
a) Sam's mobile phone does not have a camera so it might not have a battery
b) Sam's mobile phone has a camera so it must have a battery
c) Sam has a device that has a camera, a microphone and a battery so it must be a mobile phone
d) Sam has a device that does not have a microphone so it must not be a phone

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Samson is going shopping for sugar and butter to make three different kinds of cookies: lemon bars, peanut butter cookies, and sugar cookies. the recipe for lemon bars calls for 2 cups of flour, 2 cups of sugar, and 1 stick of butter. the peanut butter cookie recipe calls for 2 cups of flour, 4 cup of sugar and 2 stick of butter. the sugar cookie recipe calls for 1 cup of flour, 2 cups of sugar, and 2 sticks of butter. sampson has 13 cups of flour at home, and he buys 12 cups (6 pounds) of sugar and 10 sticks of butter. how many batches of each type of cookie can he make? samson can make batches of lemon bars, batches of peanut butter cookies, and batches of 09 cookies submit reset

Given sin28.4=.4756, cos28.4=.8796, and tan28.4=.5407 find the cos of 61.6