1. Two groups, A and B, consists of 100 subjects each, each with a disease. A serum is given to group A but not to group B (the control); otherwise the two groups are treated identically. It is found that in groups A and B, 75 and 65 persons, respectively, recover from the disease. Test the hypothesis that the serum helps to cure the disease, using a level of significance of 5% (0.05).

One-third of the people from country a claim that they are from country b, and the rest admit they are from country a. one-fourth of the people from country claim that they are from country a, and the rest admit they are from country b. in a combined census of the two countries, one-half of the total claimed to be from a. what is the ratio of the populations of country a to that of country b.

What are the measures of ∠a, ∠b, ∠c and ∠d? explain how to find each of the angle measure.

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.