The overall distance traveled by a golf ball is tested by hitting the ball with iron byron, a mechanical golfer with a swing that is said to emulate the legendary champion, byron nelson. ten randomly selected balls of two brands are tested and the overall distance measured. assume that the variances are equal. the data follow: brand 1: 288 278 287 271 283 271 279 275 263 267 brand 2: 261 238 260 265 273 281 271 270 263 268 (a) is there evidence to show that there is a difference in the mean overall distance of brands? use (b) calculate a 95% two-sided confidence interval on the difference in mean overall distance. round your answer to one decimal place (e. g. 98.7

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.

Can someone me with this? i’m not sure what to put for my equations.

Solve the system of equations. 2x-2y=-4 and x+y=8. show work