Proportion problem. each year delta dental does a survey of parents concerning the tradition of the tooth fairy. a random sample of 1,058 parents were asked about how much money they leave for a tooth and questions concerning how their child responded to the concept of the tooth fairy. in one question, 508 parents indicated that their child saved the money they got for their tooth. you are asked to test to see if this proportion is different from .5. use an alpha level of .05.what is the test statistic (z*) for this test? i just want the answer. use 4 decimal places for your answer and use the proper rules of rounding.

Time (minutes) amount of water (gallons) practice 1. jin fills up a 510-gallon pool in the backyard for her children. she fills it with the garden hose at a rate of 17 gallons per minute. after it is filled, she lets it sit for 30 minutes in order to let the water temperature rise. the children then get in and have fun for an hour. the pool loses about 5 gallon of water each minute due to their splashing and playing. at the end of the hour, they tear the pool while getting out, which causes a leak the pool then begins to lose water at a rate of 2 gallons per minute. a. complete the table to show the amount of water in the pool after each minute. b. create a graph to model the problem situation. include when the pool will be empty. c. write a piecewise function that models this problem situation. explain your reasoning for each piece of the function. d. identify the x- and y-intercept. explain what they mean in terms of the problem situation, atamantha a cul 80 100 120 150 200 ning, inc

Asix-sided die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. in the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, 5 times, and 7 times. the experimental probability of rolling a 3 is 10 %, which is approximately % more than its theoretical probability. (round off your answers to the nearest integer.)

The formula for the area of a regular polygon is a=1/2ap . what is the equation solved for a?