The formula v
=
√
2.7
r
models the maximum safe speed,
v
, in miles per hour, at which a car can travel on a curved road with radius of curvature
r
, in feet. A highway crew measures the radius of curvature at an exit ramp on a highway as 420 feet. What is the maximum safe speed?

For this problem, round your answer DOWN to the nearest whole number. (Think: Why is this type of rounding appropriate for this scenario?)

max safe speed =

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).