Your friend believes that he has found a route to work that would make your commute faster than what it currently is, under similar conditions. to test this claim, you and your friend time the commute from your house to the building where you work over a random set of days, and you flip a coin each day to determine who takes which route. each trip is done at the exact same time of day. find the test statistic and degrees of freedom for an appropriate hypothesis test using the data set below. let the difference d for each day be computed as d=new route time−current route time. assume that the times are normally distributed. round the test statistic to three decimal places.

An electronics manufacturer wants to know if customers would be interested in a detachable keyboard for their tables and if so, what the most important features would be. the manufacturer partners with an electronics store to include copies of the survey with every purchase at that store for one week. which of the following best explains why this random sample is unlikely to be a good representative sample of tablet owners' preferences for a detachable keyboard? a) one week is likely not enough time to get a large enough sample. b) most people won't bother to send in the survey, which is likely to skew the results c) there is no way to verify whether the responders to the survey actually own a tablet d) the survey is biased because it was conducted through an electronics store, not the general population

Use complete sentences to differentiate between a regular tessellation, and a pure tessellation. be sure to include specific types of polygons in your explanation.

Hurry which expression is equivalent to 3√x^5y?