(1 point) fuzzy logic is used in artificial intelligence. in fuzzy logic, a proposition has a truth value that is a number between 0 and 1 inclusive. a proposition with a truth value of 0 is false and one with truth value of 1 is true. truth values that are between 0 and 1 indicate varying degrees of truth. for instance, the truth value 0.9 can be assigned to the statement "fred is happy.'' since fred is happy most of the time, and the truth value 0.4 can be assigned to the statement "john is happy.'' since john is happy slightly less than half the time. the truth value of the negation of a proposition in fuzzy logic is 1 - the truth value of the proposition. the truth value of a conjunction of two propositions in fuzzy logic is the minimum of the truth values of the two propositions. what are the truth value of the statements: (a) ``fred and john are happy.'' and (b) ``neither fred nor john is happy.''

Sam claims that cos x =sin y if x and y are congruent angels. is sam correct ?

Overproduction of uric acid in the body can be an indication of cell breakdown. this may be an advance indication of illness such as gout, leukemia, or lymphoma.† over a period of months, an adult male patient has taken nine blood tests for uric acid. the mean concentration was x = 5.35 mg/dl. the distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.87 mg/dl. (a) find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. what is the margin of error? (round your answers to two decimal places.) lower limit upper limit margin of error (b) what conditions are necessary for your calculations? (select all that apply.) σ is unknown n is large σ is known normal distribution of uric acid uniform distribution of uric acid (c) interpret your results in the context of this problem. there is not enough information to make an interpretation. the probability that this interval contains the true average uric acid level for this patient is 0.05. the probability that this interval contains the true average uric acid level for this patient is 0.95. there is a 95% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient. there is a 5% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient. (d) find the sample size necessary for a 95% confidence level with maximal margin of error e = 1.10 for the mean concentration of uric acid in this patient's blood. (round your answer up to the nearest whole number.) blood tests

A. 10.8 cm^2 b. 5.4 cm^2 c. 7.4 cm^2 d. 21.6 cm^2