All applicants at a large university are required to take a special entrance exam before they are admitted. The exam scores are known to be normally distributed with a mean of 300 and a standard deviation of 70. Applicants must score 230 or more on the exam before they are admitted. (a) What proportion of all applicants taking the exam is granted admission? (Round your answer to four decimal places.) (b) What proportion of all applicants will score 440 or higher on the exam? (Round your answer to four decimal places.) (c) For the coming academic year, 2400 applicants have registered to take the exam. How many do we expect to be qualified for admission to the university? (Round your answer to the nearest whole number.)

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

If the discriminant if a quadratic equation is 4 which statement describes the roots?

Solve each quadratic equation by factoring and using the zero product property. 14x - 49 = x^2