Determine the t critical value for a two-sided confidence interval in each of the following situations: a. Confidence level =95%, df =10 b. Confidence level =95%, df =15 c. Confidence level =99%, df =15 d. Confidence level =99%, n =5 e. Confidence level =98%, df =24

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

State how many imaginary and real zeros the function has. f(x) = x3 - 20x2 + 123x - 216

Factor the expression. 49x^2-16 a. (7x + 4)(7x − 4) b. (7x − 4)(7x − 4) c. (4x + 7)(4x − 7) d. (4x − 7)(4x − 7)