W 4. Given: WV || Y Z; X is the midpoint of VY Prove: WVYZ V

Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes. John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts. John's left side neighbor Linda will prepare one meat dish. John's cross street neighbor Sue will prepare soup. John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup). (Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.

A horticulturist crosses two plants of the same species-one has a red flower and the other has a white flower. He knows from genetics that of the resulting seeds will produce plants with white flowers and will produce plants with red flowers. He harvests seeds and grows out 700 plants. How many of those would he expect to produce white flowers? (Simplify your answer completely.) plants How many of those would he expect to produce red flowers? (Simplify your answer completely.) plants

Assume Amy is making a sandwich for lunch and needs to select her sandwich fixings. She will select two meats out of 5 options, 1 cheese out of 3 options, and exactly 3 or exactly 5 vegetables out of the 7 options. She will also decide whether to add mayo or not. How many ways can she make her sandwich.