The family trip to Grandma's consisted of both a train ride and a car ride. The average speed of the train ride was
69

miles per hour, and the average speed of the car ride was
59

miles per hour. The entire trip lasted
8

hours.

Let
x

be the number of hours the train ride lasted. Write an expression for the total distance of the trip, in miles.

The parabola y = x² - 4 opens: a.) up b.) down c.) right d.) left

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

The graph of a hyperbola is shown. what are the coordinates of a vertex of the hyperbola? (0, −4) (−3, 0) (0, 0) (0, 5)