The staff at an aquarium with 500,000 annual visitors wants to know whether there's a difference in the proportion of its patrons who come specifically for workshops and those who come for other reasons. the staff takes a random exit poll of 1,238 visitors, and 751 say they came for workshops. what are the hypotheses for your test? a. h0: p = 0.5 ha: p ≠ 0.5 b. h0: p0 = 0.607 ha: p0 ≠ 0.607 c. h0: p0 = 0.5 ha: p0 ≠ 0.5 d. h0: p0 = 0.393 ha: p0 ≠ 0.393 e. h0: p = 0.607 ha: p ≠ 0.607

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

Amovie streaming service charges it’s customers $15 a month. martina has $98 saved up. will she have any money left over if she pays for the maximum amount of months she can afford? explain.

Which of the expressions (on the photo document i inserted) together represent all solutions to the following equation? 8cos(12x)+4=-4 *the answer should be in degrees.* > i would like for someone to explain the process to find the solutions for this.