Karina travels 5 miles at a bearing of 30° east of north to get to the supermarket. She then travels 10 miles 15° south of east to go to Anissa’s house. How far away and in what direction is Karina’s house from Anissa’s house? Draw a diagram and show your work to justify your answer. Round the distance to the nearest hundredth and the direction to the nearest degree.

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?