On the planet of Mercury, 4-year-olds average 2.8 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.6 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,)
b. Find the probability that the child spends less than 0.8 hours per day unsupervised.
c. What percent of the children spend over 4.1 hours per day unsupervised. % (Round to 2 decimal places)
d. 70% of all children spend at least how many hours per day unsupervised? hours.

The struter partnership has total partners’ equity of $510,000, which is made up of main, capital, $400,000, and frist, capital, $110,000. the partners share net income and loss in a ratio of 80% to main and 20% to frist. on november 1, adison is admitted to the partnership and given a 15% interest in equity and a 15% share in any income and loss. prepare journal entries to record the admission of adison for a 15% interest in the equity and a 15% share in any income and loss under the following independent assumptions. (1) record the admission of adison with an investment of $90,000 for a 15% interest in the equity and a 15% share in any income and loss. (2) record the admission of adison with an investment of $120,000 for a 15% interest in the equity and a 15% share in any income and loss. (3) record the admission of adison with an investment of $80,000 for a 15% interest in the equity and a 15% share in any income and loss.

In year 1, the bennetts' 25-year-old daughter, jane, is a full-time student at an out-of-state university but she plans to return home after the school year ends. in previous years, jane has never worked and her parents have always been able to claim her as a dependent. in year 1, a kind neighbor offers to pay for all of jane's educational and living expenses. which of the following statements is most accurate regarding whether jane's parents would be allowed to claim an exemption for jane in year 1 assuming the neighbor pays for all of jane's support? a. no, jane must include her neighbor's gift as income and thus fails the gross income test for a qualifying relative. b.yes, because she is a full-time student and does not provide more than half of her own support, jane is considered her parent's qualifying child. c.no, jane is too old to be considered a qualifying child and fails the support test of a qualifying relative. d.yes, because she is a student, her absence is considered as "temporary." consequently she meets the residence test and is a considered a qualifying child of the bennetts.

Over the past decade, brands that were once available only to the wealthy have created more affordable product extensions, giving a far broader range of consumers a taste of the good life. jaguar, for instance, launched its x-type sedan, which starts at $30,000 and is meant for the "almost rich" consumer who aspires to live in luxury. by marketing to people who desire a luxurious lifestyle, jaguar is using: