Adata set lists earthquake depths. the summary statistics are nequals300, x overbarequals5.89 km, sequals4.44 km. use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00. assume that a simple random sample has been selected. identify the null and alternative hypotheses, test statistic, p-value, and state the final conclusion that addresses the original claim.

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

Lizette is training for a marathon. at 7: 00 she left her house and ran until 8: 30, then she walked until 11: 30. she covered a total distance of 18 miles. her running speed was six miles per hour faster than her walking speed. find her running and walking speeds in miles per hour.

Is a square always, sometimes, or never a parallelogram