State whether the data described below are discrete or continuous, and explain why. the numbers of languages spoken by different people
a. the data are discrete because the data can take on any value in an interval.
b. the data are continuous because the data can take on specfic value.
c. the data are discrete because the data can take on specfic valu.
d. the data are continuous because the data can take on any value in an interval.

2. explain in words how you plot the point (4, −2) in a rectangular coordinate system.

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Identify the initial amount a and the growth factor b in the exponential function. a(x)=680*4.3^x